From 9c27325f1ecf991c1b523683bc6b45b61f7f16a6 Mon Sep 17 00:00:00 2001
From: Andrei Lapets <a@lapets.io>
Date: Wed, 22 Nov 2023 03:34:22 -0500
Subject: [PATCH] Increase supported range to 1025 bits; keep data compressed;
 update doctests.

---
 src/sophiegermain/sophiegermain.py | 1298 ++++++++++++++++++++++------
 1 file changed, 1037 insertions(+), 261 deletions(-)

diff --git a/src/sophiegermain/sophiegermain.py b/src/sophiegermain/sophiegermain.py
index e17fca5..9a4ed85 100644
--- a/src/sophiegermain/sophiegermain.py
+++ b/src/sophiegermain/sophiegermain.py
@@ -1,266 +1,1037 @@
 """
 Pure-Python library that provides a selection of Sophie Germain primes.
 """
+# pylint: disable=too-many-lines
 from __future__ import annotations
 import doctest
+import base64
+import zlib
 
-_DATA = [
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-    5,
-    11,
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+    b'eNp7rsnCQC/QwAAAd9UBlQ==',
+    b'eNprzWVloBtgBABqGgD5',
+    b'eNrr/M5AP8AEAKR5AYM=',
+    b'eNr7fJ6dgW6ABQDD8wHO',
+    b'eNrLDuNgoBvgAABWbgDS',
+    b'eNqLLWRioBsQAABZaQDh',
+    b'eNrj387MQDegAABWLwDq',
+    b'eNo7G85AP+AAAH3PAWU=',
+    b'eNoLX81AP9DAAABwogGD',
+    b'eNqbXspAR8AIAHQvAQ4=',
+    b'eNpT52BhoB9gAgAWfgA2',
+    b'eNo73M7CQD/AAgCQtgFT',
+    b'eNoL3MtAR8ABAHTMARc=',
+    b'eNrjfsTIQD8gAABmzQD/',
+    b'eNo7Ws3IQD+gAACLQQFi',
+    b'eNoTv8/IQD/gAABq5wE4',
+    b'eNpb+ZmDgX6ggQEAuC0CJQ==',
+    b'eNqz/cTCQEfACACFxwE1',
+    b'eNrz/cVAT8AEAI6IAUo=',
+    b'eNrbG8zEQEfAAgB3/QEX',
+    b'eNprb2NhoCPgAAB3WgEa',
+    b'eNrL38LIQEcgAAB/igE1',
+    b'eNq73s1AT6AAAJrlAYM=',
+    b'eNpjb2egJ3AAAD5JAM8=',
+    b'eNqrTWNkoCNoYAAAZa0BZQ==',
+    b'eNoLf8vCQE/ACACQRQFK',
+    b'eNpT5WBjoCdgAgAW4gA2',
+    b'eNprD2ZioCdgAQBhOgDh',
+    b'eNp7K8/EQE/AAQB3hAEX',
+    b'eNoLVGWgKxAAADRyAIc=',
+    b'eNqbuIGBrkABAI2SAWI=',
+    b'eNoL92SgK3AAAEcIAOE=',
+    b'eNo7u5aBrqCBAQCpGQH7',
+    b'eNqLvsLCQFfACACITQE1',
+    b'eNoTvs5AX8AEAGfRAO0=',
+    b'eNornsnJQFfAAgB7JQEa',
+    b'eNq7eZaRga6AAwC8CQGw',
+    b'eNrT/cTBQFcgAACC3gE4',
+    b'eNqTdmdhoCtQAAAtrwCH',
+    b'eNqbXy7IQFfgAACDdwFo',
+    b'eNrLNeZgoCtoYAAATKgBKQ==',
+    b'eNrb/J2Rgb6AEQC/TAGt',
+    b'eNpLDWdhoC9gAgBWVgDD',
+    b'eNpTvcDKQF/AAgBv6wD/',
+    b'eNq7zMnBQF/AAQBmzgDt',
+    b'eNpLv81AZyAAAJBOAVM=',
+    b'eNq7epKZgb5AAQC7FwHC',
+    b'eNrbuIaBzsABAJzOAZ4=',
+    b'eNrLNmBkoC9oYAAAR/IBHQ==',
+    b'eNpbeouJgc6AEQCuCwGD',
+    b'eNozlGdkoDNgAgAlCQBU',
+    b'eNoTnszGQGfAAgBNyQCx',
+    b'eNqrPMrPQGfAAQCWfQFW',
+    b'eNozfMnIQGcgAAB/1QEs',
+    b'eNo7ncHEQGegAACMLAFW',
+    b'eNqbKcxAb+AAAE6RAO0=',
+    b'eNrT/s/EQGfQwAAAiY4BrQ==',
+    b'eNpjL+VkoDdgBAA8uACH',
+    b'eNrrvcFAd8AEAKLIAWg=',
+    b'eNr77c/CQG/AAgCYyAFT',
+    b'eNqL9RFkoDfgAABVEQDD',
+    b'eNrT1WdloDcQAAAsoQBy',
+    b'eNrrX8fFQG+gAACVRgFo',
+    b'eNpb6cvIQG/gAABxSQE4',
+    b'eNrj/8fIQG/QwAAAfOoBjw==',
+    b'eNqr7GVjoDtgBAB7ZgEO',
+    b'eNo7zMzMQHfABABdFQDM',
+    b'eNo7Wc7EQHfAAgCUawFH',
+    b'eNpbO5efge6AAwCeyQFi',
+    b'eNqbbczEQHcgAABgLwDh',
+    b'eNoz9WegP1AAAD0fAKU=',
+    b'eNr7vIOZge7AAQDGLAHv',
+    b'eNorX8bGQHfQwAAAiAoBpA==',
+    b'eNp7z83MQH/ACAB2AgD/',
+    b'eNoLv8HMQH/ABACN2QE1',
+    b'eNrb+4WTgf6ABQDM6wG/',
+    b'eNrLD2BhoD/gAABazADM',
+    b'eNrTLmFkoD8QAABKcQCx',
+    b'eNpT/8nJQH+gAACJmwFK',
+    b'eNq7yMnEQH/gAABm7gEd',
+    b'eNp7zcDKQH/QwAAAce4BcQ==',
+    b'eNqbrsbCMACAEQBawwDD',
+    b'eNpzbWFjGADABABg8gDS',
+    b'eNrz1OJnGADAAgA9JACH',
+    b'eNrjvCDLMACAAwByxgD/',
+    b'eNrr3s/LMABAAACgdwFo',
+    b'eNozFmBiGACgAAAg3ABm',
+    b'eNoLFmdmGADgAAAzswCu',
+    b'eNq7uoGFYQBAAwMAuoICCg==',
+    b'eNoTF2QYEMAIABNRACo=',
+    b'eNpLPcbOMBCACQCQSQE1',
+    b'eNo7bM4wIIAFAHZwAP8=',
+    b'eNrb2cbEMBCAAwCXsAFK',
+    b'eNozPcXOMBBAAAB7hwEX',
+    b'eNqTdmdkGAigAAAvGwCE',
+    b'eNoL1GVkGAjgAAA8kQDA',
+    b'eNqbfpaFYSBAAwMArDUB6Q==',
+    b'eNo7uYxhYAAjAK67AXE=',
+    b'eNo7/J2JYUAAEwDTGQG/',
+    b'eNpbnsbKMCCABQCCogEX',
+    b'eNo76s8wMIADAIO7AR0=',
+    b'eNpLV2djGBAgAABG3wCl',
+    b'eNrz7WdiGBCgAABp0wD/',
+    b'eNqbz8/LMCDAAQBZrwD8',
+    b'eNqr/8rMMCCggQEAtK0B+A==',
+    b'eNrLLmZkGBjACABrLADh',
+    b'eNprnsgwQIAJAISIARc=',
+    b'eNrLXcDNMDCABQCGUQEd',
+    b'eNpby8bIMDCAAwBW9wC9',
+    b'eNqT5GZhGBggAAATsAA5',
+    b'eNqzvsXEMDBAAQCFygE4',
+    b'eNpbvY+ZYWCAAwCu2wGt',
+    b'eNr7Xs4wQKCBAQCyTQHv',
+    b'eNq7yMbBMECAEQBsawDh',
+    b'eNoLF+RiGCDABAA3kQB1',
+    b'eNqLVmEYKMACAD3gAIQ=',
+    b'eNo7q8jEMECAAwB0nwD5',
+    b'eNr7a8XHMEBAAACdogFW',
+    b'eNqLlGJiGCCgAAA5KgCW',
+    b'eNprXcjLMEDAAQCUtQF0',
+    b'eNrTlmdhGCDQwAAAJ2wAzw==',
+    b'eNo7r87IMFCAEQB48AD5',
+    b'eNqb/FKAYaAAEwDA0gGP',
+    b'eNq7PJNhwAALALGkAXE=',
+    b'eNqb/VGCYaAABwDMeAGt',
+    b'eNpbbcTEMFBAAABtOgDw',
+    b'eNpjjWFiGCigAAAwlACE',
+    b'eNr7zsbJMFDAAQCAkwFH',
+    b'eNrb2cLCMFCggQEAnvABwg==',
+    b'eNqrzmdkGDDACABzuADt',
+    b'eNpT/MHIMGCACQCKUgEd',
+    b'eNq7msDLMGCABQCehAFH',
+    b'eNqrfcHMMGCAAwCwyAFx',
+    b'eNoTXcLEMGBAAABb8ADM',
+    b'eNp72sfIMGBAAQC3JgGV',
+    b'eNqrFGZlGDDgAABH/wDS',
+    b'eNqT52diGDDQwAAAGTwAsQ==',
+    b'eNpbKM7MMHCAEQBdKAC9',
+    b'eNozPcbIMHCACQB8vQD/',
+    b'eNrTzOdgGDjAAgBPZACl',
+    b'eNqrnMvLMHCAAwCQLQEs',
+    b'eNq7Op2TYeCAAAC48QGG',
+    b'eNpbe5yTYeCAAgC8yQGe',
+    b'eNpj/szIMHDAAQB6UwE4',
+    b'eNrr72VkGDjQwAAAj3EBng==',
+    b'eNrTtmRmGEDACAAzwgBp',
+    b'eNr7mMXCMICACQCvkAFi',
+    b'eNqT9eZgGEDAAgA4KQB1',
+    b'eNpz3M3JMICAAwCCOwEO',
+    b'eNrj1WUYSCAAAB1jAEs=',
+    b'eNo7byDBMIBAAQCLwAE4',
+    b'eNq7f4CHYQCBAwDVaAHs',
+    b'eNpjXcbDMICggQEAXPoBOA==',
+    b'eNr7msrGMJCAEQCxcQFi'
 ]
 
 def sophiegermain(bit_length: int) -> int:
@@ -278,11 +1049,13 @@ def sophiegermain(bit_length: int) -> int:
     2147483693
     >>> sophiegermain(257)
     115792089237316195423570985008687907853269984665640564039457584007913129658411
+    >>> sophiegermain(1025).bit_length()
+    1025
 
     The result returned by :obj:`sophiegermain` can always be represented
     using the specified number of bits.
     
-    >>> all([sophiegermain(k).bit_length() == k for k in range(2, 258)])
+    >>> all([sophiegermain(k).bit_length() == k for k in range(2, 1026)])
     True
 
     If a bit length outside the supported range is supplied, an
@@ -296,10 +1069,10 @@ def sophiegermain(bit_length: int) -> int:
     Traceback (most recent call last):
       ...
     ValueError: all Sophie Germain primes have bit lengths of at least 2
-    >>> sophiegermain(258)
+    >>> sophiegermain(1026)
     Traceback (most recent call last):
       ...
-    ValueError: bit lengths greater than 257 are not supported
+    ValueError: bit lengths greater than 1025 are not supported
 
     The supplied bit length must be an integer.
     
@@ -321,7 +1094,10 @@ def sophiegermain(bit_length: int) -> int:
             'bit lengths greater than ' + str(len(_DATA) + 1) + ' are not supported'
         )
 
-    return _DATA[bit_length - 2]
+    return int.from_bytes(
+        zlib.decompress(base64.standard_b64decode(_DATA[bit_length - 2])),
+        'little'
+    )
 
 if __name__ == '__main__':
     doctest.testmod() # pragma: no cover