mugem 3.0

Multiplicative Generative Method (MGM)

Mugem

Mugem (Multiplicative Generative Method) is a lightweight Python package that generates pseudo-random numbers using the Multiplicative Congruential Method (MCM). it is widely used random number generation algorithm defined by the recurrence relation:

It returns both the raw sequence of generated numbers and their normalized versions between [0, 1) using NumPy.

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Features

• Easy-to-use function interface
• Pure Multiplicative Congruential Method (no increment term)
• Fast random number generation
• Normalized output with NumPy
• User-defined input parameters

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Installation

Install via pip:

pip install mugem

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Usage

from mugem import mgm

# Define parameters
a = 2        # Multiplier
x0 = 5       # Seed value
m = 103      # Modulus
count = 10   # Number of values

# Generate pseudo-random numbers
y, u = mgm(a, x0, m, count)

print("Generated:", y)
print("Normalized:", u)

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Function Reference

def mgm(a: int, x0: int, m: int, count: int = 10):
    """
    Multiplicative Congruential Method (MCM) to generate pseudo-random numbers.

    Parameters:
        a (int): Multiplier
        x0 (int): Initial seed value
        m (int): Modulus
        count (int): Total numbers to generate

    Returns:
        tuple:
            y (list): Raw generated integers
            u (ndarray): Normalized values in [0, 1)
    """

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Example Script

from mugem import mgm

a, x0, m, count = 2, 5, 103, 10
y, u = mgm(a, x0, m, count)

print("Generated Sequence:", y)
print("Normalized Sequence:", u)

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Author

Rohit Kumar Behera

Email: [e-mail]

PyPI: [https://pypi.org/project/mgm/]

Feel free to contribute, suggest improvements, or report issues.