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Achievements

Achievement: Pull Sharkx3Achievement: Arctic Code Vault ContributorAchievement: Starstruck

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juliusgeo/README.md

Julius

I love math, rally racing video games, statistics, and number theory (in that order).

Recent projects:

  • a tool that transpiles Python code into expression-only syntax (lambda functions and list comprehensions only), in addition to reflowing that code into ASCII art called Exprify
  • a (somewhat) branchless version of the binary search algorithm that beats the bisect module in terms of speed using C-extensions. See the README for more details:
  • the Gauss Legendre algorithm in Julia to generate 20 million digits of Pi in under 1 minute
  • implemented complete Binary Finite Field Arithmetic in Python using bitwise operators on integers: bff
  • using that arithmetic, I then proved it worked by calculating the Rijdnael S-Box in less than 512 bytes (and it also spells out AES).
  • used Simon Plouffe's 2022 paper on using Bernoulli numbers to generate Pi digits, I made it into the shape of pi itself as well.
  • made a concurrency fuzzer that injects byte-code to opportunistically release the Global Interpreter Lock called Confuzzion
  • made a transpiler from Python to MongoDB Aggregations called PyMongoAgg

Pinned Loading

  1. exprify exprify Public

    Transpile Python code into executable ASCII art by converting to expression-only syntax.

    Python 2

  2. zipyphus zipyphus Public

    Create zip files from scratch in Python

    Python 1

  3. branchless_bisect branchless_bisect Public

    Beating the `bisect` module's implementation using C-extensions.

    C 30 2

  4. rijndael.py rijndael.py
    1 
    n=256;q, t, m, e, p, c, f=(range(n),16,lambda x
    2 
          ,y,       r=0:m((h:=x   <<1,h^283)[
    3 
         h&n!=      0],y>>      1,(r,r    ^x)
    4 
        [y&1])if    y else       r,lambda
    5 
       a,w= 1,p=n   -2:e(m(a,       a),(w,m
  5. pi_shaped.py pi_shaped.py
    1 
    from functools import reduce as red; from math import \
    2 
    (factorial as fact, comb);import sys;from decimal import \
    3 
          (getcontext as c,Decimal as dc);(a:=range,
    4 
           b:=int(sys.                 argv[1]));c\
    5 
           ().prec=b;                  ber=lambda\
  6. gauss-legendre.md gauss-legendre.md
    1 
    20 million digits of pi in under a minute with Julia
    2 
    ====================================================
    3 
    
              
    
              
    
                4
                
    I recently discovered a relatively obscure algorithm for calculating the digits of pi: https://en.wikipedia.org/wiki/Gauss–Legendre_algorithm.
    
              
    
              
    
                5
                
    Well, at least obscure compared to Chudnovsky's. Wikipedia notes that it is "memory-intensive" but is it really?
    
              
    
          
    
    
    
  
    

    7.