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  22 <header>
  23 <h1 class="title">Module <code>szyfrow.pocket_enigma</code></h1>
  24 </header>
  25 <section id="section-intro">
  26 <p>The Pocket Enigma machine, a simple example that illustrates the mechanisms
  27 of the Enigma machine. See <a href="http://www.savory.de/pocket_enigma.htm">a review</a>
  28 for more information about the machine.</p>
  29 <details class="source">
  30 <summary>
  31 <span>Expand source code</span>
  32 </summary>
  33 <pre><code class="python">&#34;&#34;&#34;The Pocket Enigma machine, a simple example that illustrates the mechanisms
  34 of the Enigma machine. See [a review](http://www.savory.de/pocket_enigma.htm)
  35 for more information about the machine.
  36 &#34;&#34;&#34;
  37
  38 from szyfrow.support.utilities import *
  39 from szyfrow.support.language_models import *
  40
  41
  42 class PocketEnigma(object):
  43     &#34;&#34;&#34;A pocket enigma machine
  44     The wheel is internally represented as a 26-element list self.wheel_map,
  45     where wheel_map[i] == j shows that the position i places on from the arrow
  46     maps to the position j places on.
  47     &#34;&#34;&#34;
  48     def __init__(self, wheel=1, position=&#39;a&#39;):
  49         &#34;&#34;&#34;initialise the pocket enigma, including which wheel to use and the
  50         starting position of the wheel.
  51
  52         The wheel is either 1 or 2 (the predefined wheels) or a list of letter
  53         pairs.
  54
  55         The position is the letter pointed to by the arrow on the wheel.
  56
  57         &gt;&gt;&gt; pe.wheel_map
  58         [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]
  59         &gt;&gt;&gt; pe.position
  60         0
  61         &#34;&#34;&#34;
  62         self.wheel1 = [(&#39;a&#39;, &#39;z&#39;), (&#39;b&#39;, &#39;e&#39;), (&#39;c&#39;, &#39;x&#39;), (&#39;d&#39;, &#39;k&#39;),
  63             (&#39;f&#39;, &#39;h&#39;), (&#39;g&#39;, &#39;j&#39;), (&#39;i&#39;, &#39;m&#39;), (&#39;l&#39;, &#39;r&#39;), (&#39;n&#39;, &#39;o&#39;),
  64             (&#39;p&#39;, &#39;v&#39;), (&#39;q&#39;, &#39;t&#39;), (&#39;s&#39;, &#39;u&#39;), (&#39;w&#39;, &#39;y&#39;)]
  65         self.wheel2 = [(&#39;a&#39;, &#39;c&#39;), (&#39;b&#39;, &#39;d&#39;), (&#39;e&#39;, &#39;w&#39;), (&#39;f&#39;, &#39;i&#39;),
  66             (&#39;g&#39;, &#39;p&#39;), (&#39;h&#39;, &#39;m&#39;), (&#39;j&#39;, &#39;k&#39;), (&#39;l&#39;, &#39;n&#39;), (&#39;o&#39;, &#39;q&#39;),
  67             (&#39;r&#39;, &#39;z&#39;), (&#39;s&#39;, &#39;u&#39;), (&#39;t&#39;, &#39;v&#39;), (&#39;x&#39;, &#39;y&#39;)]
  68         if wheel == 1:
  69             self.make_wheel_map(self.wheel1)
  70         elif wheel == 2:
  71             self.make_wheel_map(self.wheel2)
  72         else:
  73             self.validate_wheel_spec(wheel)
  74             self.make_wheel_map(wheel)
  75         if position in string.ascii_lowercase:
  76             self.position = pos(position)
  77         else:
  78             self.position = position
  79
  80     def make_wheel_map(self, wheel_spec):
  81         &#34;&#34;&#34;Expands a wheel specification from a list of letter-letter pairs
  82         into a full wheel_map.
  83
  84         &gt;&gt;&gt; pe.make_wheel_map(pe.wheel2)
  85         [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]
  86         &#34;&#34;&#34;
  87         self.validate_wheel_spec(wheel_spec)
  88         self.wheel_map = [0] * 26
  89         for p in wheel_spec:
  90             self.wheel_map[pos(p[0])] = pos(p[1])
  91             self.wheel_map[pos(p[1])] = pos(p[0])
  92         return self.wheel_map
  93
  94     def validate_wheel_spec(self, wheel_spec):
  95         &#34;&#34;&#34;Validates that a wheel specificaiton will turn into a valid wheel
  96         map.
  97
  98         &gt;&gt;&gt; pe.validate_wheel_spec([])
  99         Traceback (most recent call last):
 100             ...
 101         ValueError: Wheel specification has 0 pairs, requires 13
 102         &gt;&gt;&gt; pe.validate_wheel_spec([(&#39;a&#39;, &#39;b&#39;, &#39;c&#39;)]*13)
 103         Traceback (most recent call last):
 104             ...
 105         ValueError: Not all mappings in wheel specificationhave two elements
 106         &gt;&gt;&gt; pe.validate_wheel_spec([(&#39;a&#39;, &#39;b&#39;)]*13)
 107         Traceback (most recent call last):
 108             ...
 109         ValueError: Wheel specification does not contain 26 letters
 110         &#34;&#34;&#34;
 111         if len(wheel_spec) != 13:
 112             raise ValueError(&#34;Wheel specification has {} pairs, requires 13&#34;.
 113                 format(len(wheel_spec)))
 114         for p in wheel_spec:
 115             if len(p) != 2:
 116                 raise ValueError(&#34;Not all mappings in wheel specification&#34;
 117                     &#34;have two elements&#34;)
 118         if len(set([p[0] for p in wheel_spec] +
 119                     [p[1] for p in wheel_spec])) != 26:
 120             raise ValueError(&#34;Wheel specification does not contain 26 letters&#34;)
 121
 122     def encipher_letter(self, letter):
 123         &#34;&#34;&#34;Enciphers a single letter, by advancing the wheel before looking up
 124         the letter on the wheel.
 125
 126         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 127         5
 128         &gt;&gt;&gt; pe.encipher_letter(&#39;k&#39;)
 129         &#39;h&#39;
 130         &#34;&#34;&#34;
 131         self.advance()
 132         return self.lookup(letter)
 133     decipher_letter = encipher_letter
 134
 135     def lookup(self, letter):
 136         &#34;&#34;&#34;Look up what a letter enciphers to, without turning the wheel.
 137
 138         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 139         5
 140         &gt;&gt;&gt; cat([pe.lookup(l) for l in string.ascii_lowercase])
 141         &#39;udhbfejcpgmokrliwntsayqzvx&#39;
 142         &gt;&gt;&gt; pe.lookup(&#39;A&#39;)
 143         &#39;&#39;
 144         &#34;&#34;&#34;
 145         if letter in string.ascii_lowercase:
 146             return unpos(
 147                 (self.wheel_map[(pos(letter) - self.position) % 26] +
 148                     self.position))
 149         else:
 150             return &#39;&#39;
 151
 152     def advance(self):
 153         &#34;&#34;&#34;Advances the wheel one position.
 154
 155         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 156         5
 157         &gt;&gt;&gt; pe.advance()
 158         6
 159         &#34;&#34;&#34;
 160         self.position = (self.position + 1) % 26
 161         return self.position
 162
 163     def encipher(self, message, starting_position=None):
 164         &#34;&#34;&#34;Enciphers a whole message.
 165
 166         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 167         5
 168         &gt;&gt;&gt; pe.encipher(&#39;helloworld&#39;)
 169         &#39;kjsglcjoqc&#39;
 170         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 171         5
 172         &gt;&gt;&gt; pe.encipher(&#39;kjsglcjoqc&#39;)
 173         &#39;helloworld&#39;
 174         &gt;&gt;&gt; pe.encipher(&#39;helloworld&#39;, starting_position = &#39;x&#39;)
 175         &#39;egrekthnnf&#39;
 176         &#34;&#34;&#34;
 177         if starting_position:
 178             self.set_position(starting_position)
 179         transformed = &#39;&#39;
 180         for l in message:
 181             transformed += self.encipher_letter(l)
 182         return transformed
 183     decipher = encipher
 184
 185     def set_position(self, position):
 186         &#34;&#34;&#34;Sets the position of the wheel, by specifying the letter the arrow
 187         points to.
 188
 189         &gt;&gt;&gt; pe.set_position(&#39;a&#39;)
 190         0
 191         &gt;&gt;&gt; pe.set_position(&#39;m&#39;)
 192         12
 193         &gt;&gt;&gt; pe.set_position(&#39;z&#39;)
 194         25
 195         &#34;&#34;&#34;
 196         self.position = pos(position)
 197         return self.position
 198
 199
 200 def pocket_enigma_break_by_crib(message, wheel_spec, crib, crib_position):
 201     &#34;&#34;&#34;Break a pocket enigma using a crib (some plaintext that&#39;s expected to
 202     be in a certain position). Returns a list of possible starting wheel
 203     positions that could produce the crib.
 204
 205     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;h&#39;, 0)
 206     [&#39;a&#39;, &#39;f&#39;, &#39;q&#39;]
 207     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;he&#39;, 0)
 208     [&#39;a&#39;]
 209     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;ll&#39;, 2)
 210     [&#39;a&#39;]
 211     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;l&#39;, 2)
 212     [&#39;a&#39;]
 213     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;l&#39;, 3)
 214     [&#39;a&#39;, &#39;j&#39;, &#39;n&#39;]
 215     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;aaaaa&#39;, 1, &#39;l&#39;, 3)
 216     []
 217     &#34;&#34;&#34;
 218     pe = PocketEnigma(wheel=wheel_spec)
 219     possible_positions = []
 220     for p in string.ascii_lowercase:
 221         pe.set_position(p)
 222         plaintext = pe.decipher(message)
 223         if plaintext[crib_position:crib_position+len(crib)] == crib:
 224             possible_positions += [p]
 225     return possible_positions
 226
 227 if __name__ == &#34;__main__&#34;:
 228     import doctest
 229     doctest.testmod(extraglobs={&#39;pe&#39;: PocketEnigma(1, &#39;a&#39;)})</code></pre>
 230 </details>
 231 </section>
 232 <section>
 233 </section>
 234 <section>
 235 </section>
 236 <section>
 237 <h2 class="section-title" id="header-functions">Functions</h2>
 238 <dl>
 239 <dt id="szyfrow.pocket_enigma.cat"><code class="name flex">
 240 <span>def <span class="ident">cat</span></span>(<span>iterable, /)</span>
 241 </code></dt>
 242 <dd>
 243 <div class="desc"><p>Concatenate any number of strings.</p>
 244 <p>The string whose method is called is inserted in between each given string.
 245 The result is returned as a new string.</p>
 246 <p>Example: '.'.join(['ab', 'pq', 'rs']) -&gt; 'ab.pq.rs'</p></div>
 247 </dd>
 248 <dt id="szyfrow.pocket_enigma.lcat"><code class="name flex">
 249 <span>def <span class="ident">lcat</span></span>(<span>iterable, /)</span>
 250 </code></dt>
 251 <dd>
 252 <div class="desc"><p>Concatenate any number of strings.</p>
 253 <p>The string whose method is called is inserted in between each given string.
 254 The result is returned as a new string.</p>
 255 <p>Example: '.'.join(['ab', 'pq', 'rs']) -&gt; 'ab.pq.rs'</p></div>
 256 </dd>
 257 <dt id="szyfrow.pocket_enigma.pocket_enigma_break_by_crib"><code class="name flex">
 258 <span>def <span class="ident">pocket_enigma_break_by_crib</span></span>(<span>message, wheel_spec, crib, crib_position)</span>
 259 </code></dt>
 260 <dd>
 261 <div class="desc"><p>Break a pocket enigma using a crib (some plaintext that's expected to
 262 be in a certain position). Returns a list of possible starting wheel
 263 positions that could produce the crib.</p>
 264 <pre><code class="language-python-repl">&gt;&gt;&gt; pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'h', 0)
 265 ['a', 'f', 'q']
 266 &gt;&gt;&gt; pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'he', 0)
 267 ['a']
 268 &gt;&gt;&gt; pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'll', 2)
 269 ['a']
 270 &gt;&gt;&gt; pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'l', 2)
 271 ['a']
 272 &gt;&gt;&gt; pocket_enigma_break_by_crib('kzpjlzmoga', 1, 'l', 3)
 273 ['a', 'j', 'n']
 274 &gt;&gt;&gt; pocket_enigma_break_by_crib('aaaaa', 1, 'l', 3)
 275 []
 276 </code></pre></div>
 277 <details class="source">
 278 <summary>
 279 <span>Expand source code</span>
 280 </summary>
 281 <pre><code class="python">def pocket_enigma_break_by_crib(message, wheel_spec, crib, crib_position):
 282     &#34;&#34;&#34;Break a pocket enigma using a crib (some plaintext that&#39;s expected to
 283     be in a certain position). Returns a list of possible starting wheel
 284     positions that could produce the crib.
 285
 286     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;h&#39;, 0)
 287     [&#39;a&#39;, &#39;f&#39;, &#39;q&#39;]
 288     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;he&#39;, 0)
 289     [&#39;a&#39;]
 290     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;ll&#39;, 2)
 291     [&#39;a&#39;]
 292     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;l&#39;, 2)
 293     [&#39;a&#39;]
 294     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;kzpjlzmoga&#39;, 1, &#39;l&#39;, 3)
 295     [&#39;a&#39;, &#39;j&#39;, &#39;n&#39;]
 296     &gt;&gt;&gt; pocket_enigma_break_by_crib(&#39;aaaaa&#39;, 1, &#39;l&#39;, 3)
 297     []
 298     &#34;&#34;&#34;
 299     pe = PocketEnigma(wheel=wheel_spec)
 300     possible_positions = []
 301     for p in string.ascii_lowercase:
 302         pe.set_position(p)
 303         plaintext = pe.decipher(message)
 304         if plaintext[crib_position:crib_position+len(crib)] == crib:
 305             possible_positions += [p]
 306     return possible_positions</code></pre>
 307 </details>
 308 </dd>
 309 <dt id="szyfrow.pocket_enigma.wcat"><code class="name flex">
 310 <span>def <span class="ident">wcat</span></span>(<span>iterable, /)</span>
 311 </code></dt>
 312 <dd>
 313 <div class="desc"><p>Concatenate any number of strings.</p>
 314 <p>The string whose method is called is inserted in between each given string.
 315 The result is returned as a new string.</p>
 316 <p>Example: '.'.join(['ab', 'pq', 'rs']) -&gt; 'ab.pq.rs'</p></div>
 317 </dd>
 318 </dl>
 319 </section>
 320 <section>
 321 <h2 class="section-title" id="header-classes">Classes</h2>
 322 <dl>
 323 <dt id="szyfrow.pocket_enigma.PocketEnigma"><code class="flex name class">
 324 <span>class <span class="ident">PocketEnigma</span></span>
 325 <span>(</span><span>wheel=1, position='a')</span>
 326 </code></dt>
 327 <dd>
 328 <div class="desc"><p>A pocket enigma machine
 329 The wheel is internally represented as a 26-element list self.wheel_map,
 330 where wheel_map[i] == j shows that the position i places on from the arrow
 331 maps to the position j places on.</p>
 332 <p>initialise the pocket enigma, including which wheel to use and the
 333 starting position of the wheel.</p>
 334 <p>The wheel is either 1 or 2 (the predefined wheels) or a list of letter
 335 pairs.</p>
 336 <p>The position is the letter pointed to by the arrow on the wheel.</p>
 337 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.wheel_map
 338 [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]
 339 &gt;&gt;&gt; pe.position
 340 0
 341 </code></pre></div>
 342 <details class="source">
 343 <summary>
 344 <span>Expand source code</span>
 345 </summary>
 346 <pre><code class="python">class PocketEnigma(object):
 347     &#34;&#34;&#34;A pocket enigma machine
 348     The wheel is internally represented as a 26-element list self.wheel_map,
 349     where wheel_map[i] == j shows that the position i places on from the arrow
 350     maps to the position j places on.
 351     &#34;&#34;&#34;
 352     def __init__(self, wheel=1, position=&#39;a&#39;):
 353         &#34;&#34;&#34;initialise the pocket enigma, including which wheel to use and the
 354         starting position of the wheel.
 355
 356         The wheel is either 1 or 2 (the predefined wheels) or a list of letter
 357         pairs.
 358
 359         The position is the letter pointed to by the arrow on the wheel.
 360
 361         &gt;&gt;&gt; pe.wheel_map
 362         [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]
 363         &gt;&gt;&gt; pe.position
 364         0
 365         &#34;&#34;&#34;
 366         self.wheel1 = [(&#39;a&#39;, &#39;z&#39;), (&#39;b&#39;, &#39;e&#39;), (&#39;c&#39;, &#39;x&#39;), (&#39;d&#39;, &#39;k&#39;),
 367             (&#39;f&#39;, &#39;h&#39;), (&#39;g&#39;, &#39;j&#39;), (&#39;i&#39;, &#39;m&#39;), (&#39;l&#39;, &#39;r&#39;), (&#39;n&#39;, &#39;o&#39;),
 368             (&#39;p&#39;, &#39;v&#39;), (&#39;q&#39;, &#39;t&#39;), (&#39;s&#39;, &#39;u&#39;), (&#39;w&#39;, &#39;y&#39;)]
 369         self.wheel2 = [(&#39;a&#39;, &#39;c&#39;), (&#39;b&#39;, &#39;d&#39;), (&#39;e&#39;, &#39;w&#39;), (&#39;f&#39;, &#39;i&#39;),
 370             (&#39;g&#39;, &#39;p&#39;), (&#39;h&#39;, &#39;m&#39;), (&#39;j&#39;, &#39;k&#39;), (&#39;l&#39;, &#39;n&#39;), (&#39;o&#39;, &#39;q&#39;),
 371             (&#39;r&#39;, &#39;z&#39;), (&#39;s&#39;, &#39;u&#39;), (&#39;t&#39;, &#39;v&#39;), (&#39;x&#39;, &#39;y&#39;)]
 372         if wheel == 1:
 373             self.make_wheel_map(self.wheel1)
 374         elif wheel == 2:
 375             self.make_wheel_map(self.wheel2)
 376         else:
 377             self.validate_wheel_spec(wheel)
 378             self.make_wheel_map(wheel)
 379         if position in string.ascii_lowercase:
 380             self.position = pos(position)
 381         else:
 382             self.position = position
 383
 384     def make_wheel_map(self, wheel_spec):
 385         &#34;&#34;&#34;Expands a wheel specification from a list of letter-letter pairs
 386         into a full wheel_map.
 387
 388         &gt;&gt;&gt; pe.make_wheel_map(pe.wheel2)
 389         [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]
 390         &#34;&#34;&#34;
 391         self.validate_wheel_spec(wheel_spec)
 392         self.wheel_map = [0] * 26
 393         for p in wheel_spec:
 394             self.wheel_map[pos(p[0])] = pos(p[1])
 395             self.wheel_map[pos(p[1])] = pos(p[0])
 396         return self.wheel_map
 397
 398     def validate_wheel_spec(self, wheel_spec):
 399         &#34;&#34;&#34;Validates that a wheel specificaiton will turn into a valid wheel
 400         map.
 401
 402         &gt;&gt;&gt; pe.validate_wheel_spec([])
 403         Traceback (most recent call last):
 404             ...
 405         ValueError: Wheel specification has 0 pairs, requires 13
 406         &gt;&gt;&gt; pe.validate_wheel_spec([(&#39;a&#39;, &#39;b&#39;, &#39;c&#39;)]*13)
 407         Traceback (most recent call last):
 408             ...
 409         ValueError: Not all mappings in wheel specificationhave two elements
 410         &gt;&gt;&gt; pe.validate_wheel_spec([(&#39;a&#39;, &#39;b&#39;)]*13)
 411         Traceback (most recent call last):
 412             ...
 413         ValueError: Wheel specification does not contain 26 letters
 414         &#34;&#34;&#34;
 415         if len(wheel_spec) != 13:
 416             raise ValueError(&#34;Wheel specification has {} pairs, requires 13&#34;.
 417                 format(len(wheel_spec)))
 418         for p in wheel_spec:
 419             if len(p) != 2:
 420                 raise ValueError(&#34;Not all mappings in wheel specification&#34;
 421                     &#34;have two elements&#34;)
 422         if len(set([p[0] for p in wheel_spec] +
 423                     [p[1] for p in wheel_spec])) != 26:
 424             raise ValueError(&#34;Wheel specification does not contain 26 letters&#34;)
 425
 426     def encipher_letter(self, letter):
 427         &#34;&#34;&#34;Enciphers a single letter, by advancing the wheel before looking up
 428         the letter on the wheel.
 429
 430         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 431         5
 432         &gt;&gt;&gt; pe.encipher_letter(&#39;k&#39;)
 433         &#39;h&#39;
 434         &#34;&#34;&#34;
 435         self.advance()
 436         return self.lookup(letter)
 437     decipher_letter = encipher_letter
 438
 439     def lookup(self, letter):
 440         &#34;&#34;&#34;Look up what a letter enciphers to, without turning the wheel.
 441
 442         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 443         5
 444         &gt;&gt;&gt; cat([pe.lookup(l) for l in string.ascii_lowercase])
 445         &#39;udhbfejcpgmokrliwntsayqzvx&#39;
 446         &gt;&gt;&gt; pe.lookup(&#39;A&#39;)
 447         &#39;&#39;
 448         &#34;&#34;&#34;
 449         if letter in string.ascii_lowercase:
 450             return unpos(
 451                 (self.wheel_map[(pos(letter) - self.position) % 26] +
 452                     self.position))
 453         else:
 454             return &#39;&#39;
 455
 456     def advance(self):
 457         &#34;&#34;&#34;Advances the wheel one position.
 458
 459         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 460         5
 461         &gt;&gt;&gt; pe.advance()
 462         6
 463         &#34;&#34;&#34;
 464         self.position = (self.position + 1) % 26
 465         return self.position
 466
 467     def encipher(self, message, starting_position=None):
 468         &#34;&#34;&#34;Enciphers a whole message.
 469
 470         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 471         5
 472         &gt;&gt;&gt; pe.encipher(&#39;helloworld&#39;)
 473         &#39;kjsglcjoqc&#39;
 474         &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 475         5
 476         &gt;&gt;&gt; pe.encipher(&#39;kjsglcjoqc&#39;)
 477         &#39;helloworld&#39;
 478         &gt;&gt;&gt; pe.encipher(&#39;helloworld&#39;, starting_position = &#39;x&#39;)
 479         &#39;egrekthnnf&#39;
 480         &#34;&#34;&#34;
 481         if starting_position:
 482             self.set_position(starting_position)
 483         transformed = &#39;&#39;
 484         for l in message:
 485             transformed += self.encipher_letter(l)
 486         return transformed
 487     decipher = encipher
 488
 489     def set_position(self, position):
 490         &#34;&#34;&#34;Sets the position of the wheel, by specifying the letter the arrow
 491         points to.
 492
 493         &gt;&gt;&gt; pe.set_position(&#39;a&#39;)
 494         0
 495         &gt;&gt;&gt; pe.set_position(&#39;m&#39;)
 496         12
 497         &gt;&gt;&gt; pe.set_position(&#39;z&#39;)
 498         25
 499         &#34;&#34;&#34;
 500         self.position = pos(position)
 501         return self.position</code></pre>
 502 </details>
 503 <h3>Methods</h3>
 504 <dl>
 505 <dt id="szyfrow.pocket_enigma.PocketEnigma.advance"><code class="name flex">
 506 <span>def <span class="ident">advance</span></span>(<span>self)</span>
 507 </code></dt>
 508 <dd>
 509 <div class="desc"><p>Advances the wheel one position.</p>
 510 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.set_position('f')
 511 5
 512 &gt;&gt;&gt; pe.advance()
 513 6
 514 </code></pre></div>
 515 <details class="source">
 516 <summary>
 517 <span>Expand source code</span>
 518 </summary>
 519 <pre><code class="python">def advance(self):
 520     &#34;&#34;&#34;Advances the wheel one position.
 521
 522     &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 523     5
 524     &gt;&gt;&gt; pe.advance()
 525     6
 526     &#34;&#34;&#34;
 527     self.position = (self.position + 1) % 26
 528     return self.position</code></pre>
 529 </details>
 530 </dd>
 531 <dt id="szyfrow.pocket_enigma.PocketEnigma.decipher"><code class="name flex">
 532 <span>def <span class="ident">decipher</span></span>(<span>self, message, starting_position=None)</span>
 533 </code></dt>
 534 <dd>
 535 <div class="desc"><p>Enciphers a whole message.</p>
 536 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.set_position('f')
 537 5
 538 &gt;&gt;&gt; pe.encipher('helloworld')
 539 'kjsglcjoqc'
 540 &gt;&gt;&gt; pe.set_position('f')
 541 5
 542 &gt;&gt;&gt; pe.encipher('kjsglcjoqc')
 543 'helloworld'
 544 &gt;&gt;&gt; pe.encipher('helloworld', starting_position = 'x')
 545 'egrekthnnf'
 546 </code></pre></div>
 547 <details class="source">
 548 <summary>
 549 <span>Expand source code</span>
 550 </summary>
 551 <pre><code class="python">def encipher(self, message, starting_position=None):
 552     &#34;&#34;&#34;Enciphers a whole message.
 553
 554     &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 555     5
 556     &gt;&gt;&gt; pe.encipher(&#39;helloworld&#39;)
 557     &#39;kjsglcjoqc&#39;
 558     &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 559     5
 560     &gt;&gt;&gt; pe.encipher(&#39;kjsglcjoqc&#39;)
 561     &#39;helloworld&#39;
 562     &gt;&gt;&gt; pe.encipher(&#39;helloworld&#39;, starting_position = &#39;x&#39;)
 563     &#39;egrekthnnf&#39;
 564     &#34;&#34;&#34;
 565     if starting_position:
 566         self.set_position(starting_position)
 567     transformed = &#39;&#39;
 568     for l in message:
 569         transformed += self.encipher_letter(l)
 570     return transformed</code></pre>
 571 </details>
 572 </dd>
 573 <dt id="szyfrow.pocket_enigma.PocketEnigma.decipher_letter"><code class="name flex">
 574 <span>def <span class="ident">decipher_letter</span></span>(<span>self, letter)</span>
 575 </code></dt>
 576 <dd>
 577 <div class="desc"><p>Enciphers a single letter, by advancing the wheel before looking up
 578 the letter on the wheel.</p>
 579 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.set_position('f')
 580 5
 581 &gt;&gt;&gt; pe.encipher_letter('k')
 582 'h'
 583 </code></pre></div>
 584 <details class="source">
 585 <summary>
 586 <span>Expand source code</span>
 587 </summary>
 588 <pre><code class="python">def encipher_letter(self, letter):
 589     &#34;&#34;&#34;Enciphers a single letter, by advancing the wheel before looking up
 590     the letter on the wheel.
 591
 592     &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 593     5
 594     &gt;&gt;&gt; pe.encipher_letter(&#39;k&#39;)
 595     &#39;h&#39;
 596     &#34;&#34;&#34;
 597     self.advance()
 598     return self.lookup(letter)</code></pre>
 599 </details>
 600 </dd>
 601 <dt id="szyfrow.pocket_enigma.PocketEnigma.encipher"><code class="name flex">
 602 <span>def <span class="ident">encipher</span></span>(<span>self, message, starting_position=None)</span>
 603 </code></dt>
 604 <dd>
 605 <div class="desc"><p>Enciphers a whole message.</p>
 606 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.set_position('f')
 607 5
 608 &gt;&gt;&gt; pe.encipher('helloworld')
 609 'kjsglcjoqc'
 610 &gt;&gt;&gt; pe.set_position('f')
 611 5
 612 &gt;&gt;&gt; pe.encipher('kjsglcjoqc')
 613 'helloworld'
 614 &gt;&gt;&gt; pe.encipher('helloworld', starting_position = 'x')
 615 'egrekthnnf'
 616 </code></pre></div>
 617 <details class="source">
 618 <summary>
 619 <span>Expand source code</span>
 620 </summary>
 621 <pre><code class="python">def encipher(self, message, starting_position=None):
 622     &#34;&#34;&#34;Enciphers a whole message.
 623
 624     &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 625     5
 626     &gt;&gt;&gt; pe.encipher(&#39;helloworld&#39;)
 627     &#39;kjsglcjoqc&#39;
 628     &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 629     5
 630     &gt;&gt;&gt; pe.encipher(&#39;kjsglcjoqc&#39;)
 631     &#39;helloworld&#39;
 632     &gt;&gt;&gt; pe.encipher(&#39;helloworld&#39;, starting_position = &#39;x&#39;)
 633     &#39;egrekthnnf&#39;
 634     &#34;&#34;&#34;
 635     if starting_position:
 636         self.set_position(starting_position)
 637     transformed = &#39;&#39;
 638     for l in message:
 639         transformed += self.encipher_letter(l)
 640     return transformed</code></pre>
 641 </details>
 642 </dd>
 643 <dt id="szyfrow.pocket_enigma.PocketEnigma.encipher_letter"><code class="name flex">
 644 <span>def <span class="ident">encipher_letter</span></span>(<span>self, letter)</span>
 645 </code></dt>
 646 <dd>
 647 <div class="desc"><p>Enciphers a single letter, by advancing the wheel before looking up
 648 the letter on the wheel.</p>
 649 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.set_position('f')
 650 5
 651 &gt;&gt;&gt; pe.encipher_letter('k')
 652 'h'
 653 </code></pre></div>
 654 <details class="source">
 655 <summary>
 656 <span>Expand source code</span>
 657 </summary>
 658 <pre><code class="python">def encipher_letter(self, letter):
 659     &#34;&#34;&#34;Enciphers a single letter, by advancing the wheel before looking up
 660     the letter on the wheel.
 661
 662     &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 663     5
 664     &gt;&gt;&gt; pe.encipher_letter(&#39;k&#39;)
 665     &#39;h&#39;
 666     &#34;&#34;&#34;
 667     self.advance()
 668     return self.lookup(letter)</code></pre>
 669 </details>
 670 </dd>
 671 <dt id="szyfrow.pocket_enigma.PocketEnigma.lookup"><code class="name flex">
 672 <span>def <span class="ident">lookup</span></span>(<span>self, letter)</span>
 673 </code></dt>
 674 <dd>
 675 <div class="desc"><p>Look up what a letter enciphers to, without turning the wheel.</p>
 676 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.set_position('f')
 677 5
 678 &gt;&gt;&gt; cat([pe.lookup(l) for l in string.ascii_lowercase])
 679 'udhbfejcpgmokrliwntsayqzvx'
 680 &gt;&gt;&gt; pe.lookup('A')
 681 ''
 682 </code></pre></div>
 683 <details class="source">
 684 <summary>
 685 <span>Expand source code</span>
 686 </summary>
 687 <pre><code class="python">def lookup(self, letter):
 688     &#34;&#34;&#34;Look up what a letter enciphers to, without turning the wheel.
 689
 690     &gt;&gt;&gt; pe.set_position(&#39;f&#39;)
 691     5
 692     &gt;&gt;&gt; cat([pe.lookup(l) for l in string.ascii_lowercase])
 693     &#39;udhbfejcpgmokrliwntsayqzvx&#39;
 694     &gt;&gt;&gt; pe.lookup(&#39;A&#39;)
 695     &#39;&#39;
 696     &#34;&#34;&#34;
 697     if letter in string.ascii_lowercase:
 698         return unpos(
 699             (self.wheel_map[(pos(letter) - self.position) % 26] +
 700                 self.position))
 701     else:
 702         return &#39;&#39;</code></pre>
 703 </details>
 704 </dd>
 705 <dt id="szyfrow.pocket_enigma.PocketEnigma.make_wheel_map"><code class="name flex">
 706 <span>def <span class="ident">make_wheel_map</span></span>(<span>self, wheel_spec)</span>
 707 </code></dt>
 708 <dd>
 709 <div class="desc"><p>Expands a wheel specification from a list of letter-letter pairs
 710 into a full wheel_map.</p>
 711 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.make_wheel_map(pe.wheel2)
 712 [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]
 713 </code></pre></div>
 714 <details class="source">
 715 <summary>
 716 <span>Expand source code</span>
 717 </summary>
 718 <pre><code class="python">def make_wheel_map(self, wheel_spec):
 719     &#34;&#34;&#34;Expands a wheel specification from a list of letter-letter pairs
 720     into a full wheel_map.
 721
 722     &gt;&gt;&gt; pe.make_wheel_map(pe.wheel2)
 723     [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]
 724     &#34;&#34;&#34;
 725     self.validate_wheel_spec(wheel_spec)
 726     self.wheel_map = [0] * 26
 727     for p in wheel_spec:
 728         self.wheel_map[pos(p[0])] = pos(p[1])
 729         self.wheel_map[pos(p[1])] = pos(p[0])
 730     return self.wheel_map</code></pre>
 731 </details>
 732 </dd>
 733 <dt id="szyfrow.pocket_enigma.PocketEnigma.set_position"><code class="name flex">
 734 <span>def <span class="ident">set_position</span></span>(<span>self, position)</span>
 735 </code></dt>
 736 <dd>
 737 <div class="desc"><p>Sets the position of the wheel, by specifying the letter the arrow
 738 points to.</p>
 739 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.set_position('a')
 740 0
 741 &gt;&gt;&gt; pe.set_position('m')
 742 12
 743 &gt;&gt;&gt; pe.set_position('z')
 744 25
 745 </code></pre></div>
 746 <details class="source">
 747 <summary>
 748 <span>Expand source code</span>
 749 </summary>
 750 <pre><code class="python">def set_position(self, position):
 751     &#34;&#34;&#34;Sets the position of the wheel, by specifying the letter the arrow
 752     points to.
 753
 754     &gt;&gt;&gt; pe.set_position(&#39;a&#39;)
 755     0
 756     &gt;&gt;&gt; pe.set_position(&#39;m&#39;)
 757     12
 758     &gt;&gt;&gt; pe.set_position(&#39;z&#39;)
 759     25
 760     &#34;&#34;&#34;
 761     self.position = pos(position)
 762     return self.position</code></pre>
 763 </details>
 764 </dd>
 765 <dt id="szyfrow.pocket_enigma.PocketEnigma.validate_wheel_spec"><code class="name flex">
 766 <span>def <span class="ident">validate_wheel_spec</span></span>(<span>self, wheel_spec)</span>
 767 </code></dt>
 768 <dd>
 769 <div class="desc"><p>Validates that a wheel specificaiton will turn into a valid wheel
 770 map.</p>
 771 <pre><code class="language-python-repl">&gt;&gt;&gt; pe.validate_wheel_spec([])
 772 Traceback (most recent call last):
 773     ...
 774 ValueError: Wheel specification has 0 pairs, requires 13
 775 &gt;&gt;&gt; pe.validate_wheel_spec([('a', 'b', 'c')]*13)
 776 Traceback (most recent call last):
 777     ...
 778 ValueError: Not all mappings in wheel specificationhave two elements
 779 &gt;&gt;&gt; pe.validate_wheel_spec([('a', 'b')]*13)
 780 Traceback (most recent call last):
 781     ...
 782 ValueError: Wheel specification does not contain 26 letters
 783 </code></pre></div>
 784 <details class="source">
 785 <summary>
 786 <span>Expand source code</span>
 787 </summary>
 788 <pre><code class="python">def validate_wheel_spec(self, wheel_spec):
 789     &#34;&#34;&#34;Validates that a wheel specificaiton will turn into a valid wheel
 790     map.
 791
 792     &gt;&gt;&gt; pe.validate_wheel_spec([])
 793     Traceback (most recent call last):
 794         ...
 795     ValueError: Wheel specification has 0 pairs, requires 13
 796     &gt;&gt;&gt; pe.validate_wheel_spec([(&#39;a&#39;, &#39;b&#39;, &#39;c&#39;)]*13)
 797     Traceback (most recent call last):
 798         ...
 799     ValueError: Not all mappings in wheel specificationhave two elements
 800     &gt;&gt;&gt; pe.validate_wheel_spec([(&#39;a&#39;, &#39;b&#39;)]*13)
 801     Traceback (most recent call last):
 802         ...
 803     ValueError: Wheel specification does not contain 26 letters
 804     &#34;&#34;&#34;
 805     if len(wheel_spec) != 13:
 806         raise ValueError(&#34;Wheel specification has {} pairs, requires 13&#34;.
 807             format(len(wheel_spec)))
 808     for p in wheel_spec:
 809         if len(p) != 2:
 810             raise ValueError(&#34;Not all mappings in wheel specification&#34;
 811                 &#34;have two elements&#34;)
 812     if len(set([p[0] for p in wheel_spec] +
 813                 [p[1] for p in wheel_spec])) != 26:
 814         raise ValueError(&#34;Wheel specification does not contain 26 letters&#34;)</code></pre>
 815 </details>
 816 </dd>
 817 </dl>
 818 </dd>
 819 </dl>
 820 </section>
 821 </article>
 822 <nav id="sidebar">
 823 <h1>Index</h1>
 824 <div class="toc">
 825 <ul></ul>
 826 </div>
 827 <ul id="index">
 828 <li><h3>Super-module</h3>
 829 <ul>
 830 <li><code><a title="szyfrow" href="index.html">szyfrow</a></code></li>
 831 </ul>
 832 </li>
 833 <li><h3><a href="#header-functions">Functions</a></h3>
 834 <ul class="">
 835 <li><code><a title="szyfrow.pocket_enigma.cat" href="#szyfrow.pocket_enigma.cat">cat</a></code></li>
 836 <li><code><a title="szyfrow.pocket_enigma.lcat" href="#szyfrow.pocket_enigma.lcat">lcat</a></code></li>
 837 <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>
 838 <li><code><a title="szyfrow.pocket_enigma.wcat" href="#szyfrow.pocket_enigma.wcat">wcat</a></code></li>
 839 </ul>
 840 </li>
 841 <li><h3><a href="#header-classes">Classes</a></h3>
 842 <ul>
 843 <li>
 844 <h4><code><a title="szyfrow.pocket_enigma.PocketEnigma" href="#szyfrow.pocket_enigma.PocketEnigma">PocketEnigma</a></code></h4>
 845 <ul class="two-column">
 846 <li><code><a title="szyfrow.pocket_enigma.PocketEnigma.advance" href="#szyfrow.pocket_enigma.PocketEnigma.advance">advance</a></code></li>
 847 <li><code><a title="szyfrow.pocket_enigma.PocketEnigma.decipher" href="#szyfrow.pocket_enigma.PocketEnigma.decipher">decipher</a></code></li>
 848 <li><code><a title="szyfrow.pocket_enigma.PocketEnigma.decipher_letter" href="#szyfrow.pocket_enigma.PocketEnigma.decipher_letter">decipher_letter</a></code></li>
 849 <li><code><a title="szyfrow.pocket_enigma.PocketEnigma.encipher" href="#szyfrow.pocket_enigma.PocketEnigma.encipher">encipher</a></code></li>
 850 <li><code><a title="szyfrow.pocket_enigma.PocketEnigma.encipher_letter" href="#szyfrow.pocket_enigma.PocketEnigma.encipher_letter">encipher_letter</a></code></li>
 851 <li><code><a title="szyfrow.pocket_enigma.PocketEnigma.lookup" href="#szyfrow.pocket_enigma.PocketEnigma.lookup">lookup</a></code></li>
 852 <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>
 853 <li><code><a title="szyfrow.pocket_enigma.PocketEnigma.set_position" href="#szyfrow.pocket_enigma.PocketEnigma.set_position">set_position</a></code></li>
 854 <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>
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