Pat
Project description
Installation
pip install pat works, elevate privilege if necessary.
Mathematical Background
Simply speaking, it is a string of continuous numbers in some special positional numeral systems, where symbols in each position are mutually unique, often with a big radix.
It can be created by taking the needed count of characters from the Cartesian product of chosen character sets.
Profiles
Default Profile
Three-position: The most popular choice
Maximum Length: 20280 B = 19 KiB.
ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 0123456789
Optimal Profiles
Suppose that we have a limited set of characters, e.g. alphanumeric ones, in which there are 62 characters available.
According to the inequality of arithmetic and geometric means, fixed radix systems will achieve the best length.
Three-position
Maximum Length: 26460 B = 25 KiB
ABCDEFGHIJKLMNOPQRSTU VWXYZabcdefghijklmnop qrstuvwxyz0123456789
Four-position
Maximum Length: 230400 B = 225 KiB
ABCDEFGHIJKLMNOP QRSTUVWXYZabcdef ghijklmnopqrstu vwxyz0123456789
Eight-position
Maximum Length: 102760448 B = 98 MiB
ABCDEFGH IJKLMNOP QRSTUVWX YZabcdef ghijklmn opqrstuv wxyz012 3456789
Usage
./pat.py --help Usage: pat.py [OPTIONS] ARGUMENT [SETS]... Options: -V, --version Show the version and exit. -h, --help Show this message and exit.
Examples
Create a pattern of length 100 using the default profile.
./pat.py 100 Aa0Aa1Aa2Aa3Aa4Aa5Aa6Aa7Aa8Aa9Ab0Ab1Ab2Ab3Ab4Ab5Ab6Ab7Ab8Ab9Ac0Ac1Ac2Ac3Ac4Ac5Ac6Ac7Ac8Ac9Ad0Ad1Ad2A
Locate the pattern Cz9 in the default profile.
./pat.py Cz9 2337
Locate the pattern in hex, 0x5a6232, using the default profile.
./pat.py 0x5a6232 19536
Create a pattern of length 200 in optimal 3-position profile.
./pat.py 200 ABCDEFGHIJKLMNOPQRSTU VWXYZabcdefghijklmnop qrstuvwxyz0123456789 AVqAVrAVsAVtAVuAVvAVwAVxAVyAVzAV0AV1AV2AV3AV4AV5AV6AV7AV8AV9AWqAWrAWsAWtAWuAWvAWwAWxAWyAWzAW0AW1AW2AW3AW4AW5AW6AW7AW8AW9AXqAXrAXsAXtAXuAXvAXwAXxAXyAXzAX0AX1AX2AX3AX4AX5AX6AX7AX8AX9AYqAYrAYsAYtAYuAYvAY
Search for pattern vAY in optimal 3-position profile.
./pat.py vAY ABCDEFGHIJKLMNOPQRSTU VWXYZabcdefghijklmnop qrstuvwxyz0123456789 197
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