Linear Congruential Generator Toolkit

Simulator and plotter for linear congruential generator (LCG) functions in Python 3 with MatPlotLib.

This was made for academic purposes, to study the function of linear congruential generations and specifically the famed RANDU LCG function.

Usage

To run as the generator is currently set, just run python lcg.py (python3 lcg.py on Mac).
This will simulate RANGE_END-RANGE_START generations and plot them with a MatPlotLib display.
To change the LCG parameters, set them in the top of lcg.py:

# SEED VALUE
# RANDOM NUMBER = randint(1, 0x7FFFFFFF)
X0 = randint(1, 0x7FFFFFFF)

RANGE_START = 0
RANGE_END = 500

# MULTIPLICATIVE FACTOR
A = 1664525

# ADDITIVE FACTOR
C = 1013904223

# MODULUS FACTOR
M = 2**32

The LCG function is expressed as X(i+1) = ((A*X(i)) + C) mod M.

Copyright

lcg-toolkit is copyright © 2021 Jackson Rakena under the MIT License.
You are free to use this in your academic papers or projects, but please include a credit and link to this repository.