Monte Carlo Pi Estimation Program Description

This program is a Monte Carlo simulation designed to estimate the value of Pi using PyCOMPSs.

Tasks in the Program

1. Count Points in Circle Task (count_points_in_circle):

   • Generates random points within a square with side length 1.
   • Counts points falling within the inscribed circle (x^2 + y^2 <= 1).
   • Input: Number of points to generate (num_points)
   • Output: Tuple containing count of points within the circle and list of generated points

2. Write Points to File Task (write_points_to_file):

   • Writes a list of points to a file named according to the task ID.
   • Input: List of points and task ID
   • Output: None

Main Function Operation

• Takes num_points and num_tasks as input.
• Divides points among tasks for parallel processing.
• Launches count_points_in_circle tasks in parallel.
• Launches write_points_to_file tasks after count tasks complete.
• Calculates Pi estimate and writes to Result.txt.

Execution

To execute the script, use the following command-line format:

python script_name.py num_points num_tasks