import struct
import math
import random

def generate_bin(filename="simulation.bin", points=200):
    # Magic Number: 0xFEAA01
    MAGIC = 0xFEAA01
    
    x_data = []
    y_data = []
    
    # Generate Sine Wave with random noise/phase to show updates
    phase_shift = random.random() * math.pi
    
    for i in range(points):
        x = (i / points) * (4 * math.pi)
        y = math.sin(x + phase_shift)
        
        x_data.append(x)
        y_data.append(y)
        
    # Pack Data
    # Header: Magic (I), Count (I)
    header = struct.pack('<II', MAGIC, points)
    
    # Body: X floats (f), Y floats (f)
    body_x = struct.pack(f'<{points}f', *x_data)
    body_y = struct.pack(f'<{points}f', *y_data)
    
    with open(filename, 'wb') as f:
        f.write(header)
        f.write(body_x)
        f.write(body_y)
        
    print(f"Generated {filename} with {points} points (Phase: {phase_shift:.2f})")

if __name__ == "__main__":
    generate_bin()