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polybius.py
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#!/usr/bin/env python3
"""
A Polybius Square is a table that allows someone to translate letters into numbers.
https://www.braingle.com/brainteasers/codes/polybius.php
"""
import
numpy
as
np
SQUARE
=
[
[
"a"
,
"b"
,
"c"
,
"d"
,
"e"
],
[
"f"
,
"g"
,
"h"
,
"i"
,
"k"
],
[
"l"
,
"m"
,
"n"
,
"o"
,
"p"
],
[
"q"
,
"r"
,
"s"
,
"t"
,
"u"
],
[
"v"
,
"w"
,
"x"
,
"y"
,
"z"
],
]
class
PolybiusCipher
:
def
__init__
(
self
)
->
None
:
self
.
SQUARE
=
np
.
array
(
SQUARE
)
def
letter_to_numbers
(
self
,
letter
:
str
)
->
np
.
ndarray
:
"""
Return the pair of numbers that represents the given letter in the
polybius square
>>> np.array_equal(PolybiusCipher().letter_to_numbers('a'), [1,1])
True
>>> np.array_equal(PolybiusCipher().letter_to_numbers('u'), [4,5])
True
"""
index1
,
index2
=
np
.
where
(
self
.
SQUARE
==
letter
)
indexes
=
np
.
concatenate
([
index1
+
1
,
index2
+
1
])
return
indexes
def
numbers_to_letter
(
self
,
index1
:
int
,
index2
:
int
)
->
str
:
"""
Return the letter corresponding to the position [index1, index2] in
the polybius square
>>> PolybiusCipher().numbers_to_letter(4, 5) == "u"
True
>>> PolybiusCipher().numbers_to_letter(1, 1) == "a"
True
"""
return
self
.
SQUARE
[
index1
-
1
,
index2
-
1
]
def
encode
(
self
,
message
:
str
)
->
str
:
"""
Return the encoded version of message according to the polybius cipher
>>> PolybiusCipher().encode("test message") == "44154344 32154343112215"
True
>>> PolybiusCipher().encode("Test Message") == "44154344 32154343112215"
True
"""
message
=
message
.
lower
()
message
=
message
.
replace
(
"j"
,
"i"
)
encoded_message
=
""
for
letter_index
in
range
(
len
(
message
)):
if
message
[
letter_index
]
!=
" "
:
numbers
=
self
.
letter_to_numbers
(
message
[
letter_index
])
encoded_message
=
encoded_message
+
str
(
numbers
[
0
])
+
str
(
numbers
[
1
])
elif
message
[
letter_index
]
==
" "
:
encoded_message
=
encoded_message
+
" "
return
encoded_message
def
decode
(
self
,
message
:
str
)
->
str
:
"""
Return the decoded version of message according to the polybius cipher
>>> PolybiusCipher().decode("44154344 32154343112215") == "test message"
True
>>> PolybiusCipher().decode("4415434432154343112215") == "testmessage"
True
"""
message
=
message
.
replace
(
" "
,
" "
)
decoded_message
=
""
for
numbers_index
in
range
(
int
(
len
(
message
)
/
2
)):
if
message
[
numbers_index
*
2
]
!=
" "
:
index1
=
message
[
numbers_index
*
2
]
index2
=
message
[
numbers_index
*
2
+
1
]
letter
=
self
.
numbers_to_letter
(
int
(
index1
),
int
(
index2
))
decoded_message
=
decoded_message
+
letter
elif
message
[
numbers_index
*
2
]
==
" "
:
decoded_message
=
decoded_message
+
" "
return
decoded_message
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