Prime Remainders

This program calculates primes, takes their remainder¹ and then places a color accordingly. The shapes are quiet interesting.

Controls

  • Space takes a screenshot

p mod 10 p mod 255 p mod 500¹The formular for the color c at prime p with modulo m is c = p mod m. (m = 10 on the left, 255 on the right and 500 on the bottom)


# Python 2.7.7 Code
# Pygame 1.9.1 (for Python 2.7.7)
# Jonathan Frech 4th of November, 2015
#         edited 5th of November, 2015
#         edited 6th of November, 2015

# importing needed modules
import pygame, sys, time, math, os, random, datetime

MOD = 10

""" CLASSES """
# dummy class for global variables
class dummy():
	pass

""" FUNCTIONS """
# saves the current surface
def savesurf():
	try:
		if not os.path.isdir(main.SAVEPATH):
			os.mkdir(main.SAVEPATH)

		name = "img" + str(len(os.listdir(main.SAVEPATH))) + " (mod " + str(MOD) + ").png"
		pygame.image.save(pygame.transform.scale(main.SURF, main.SCALESIZE), main.SAVEPATH + name)
	except:
		pass

# quits the program
def quit():
	sys.exit()

# checks if n is prime
def prime(n):
	for _ in range(2, int(math.sqrt(n))+1):
		if n % _ == 0:
			return False

	if n >= 2:
		return True

""" TICK; RENDER """
# tick function
def tick():
	# handle events
	for event in pygame.event.get():
		if event.type == pygame.QUIT:
			quit()
		
		if event.type == pygame.KEYDOWN:
			if event.key == pygame.K_SPACE:
				savesurf()

	if main.N <= main.WIDTH*main.HEIGHT:
		for _ in range(0, 1000):
			if prime(main.P):
				c = [
					int(255. / MOD * (main.P % MOD)), 0, 0
				]
				main.SURF.set_at([main.N % main.WIDTH, main.N / main.WIDTH], c)
				main.N += 1
			main.P += 1

# render function
def render():
	# blit and flip
	main.SCREEN.blit(pygame.transform.scale(main.SURF, main.SCALESIZE), [0, 0])
	pygame.display.flip()

""" INIT """
# initialize program
def init():
	main.SCALESIZE = [1080, 720]
	main.SCREEN = pygame.display.set_mode(main.SCALESIZE)

	main.WIDTH, main.HEIGHT = 108, 72
	main.SIZE = [main.WIDTH, main.HEIGHT]
	main.SURF = pygame.Surface(main.SIZE)
	
	main.CAPTION = "Prime Remainders"
	main.TICKS = 0

	main.SAVEPATH = os.getcwd() + "/out/"
	main.N = 0
	main.P = 0
	
	# functions
	pygame.display.set_caption(main.CAPTION)

""" RUN """
# run function (uses tick() and render())
def run():
	ticksPerSecond = 60
	lastTime = time.time() * 1000000000
	nsPerTick =  1000000000.0 / float(ticksPerSecond)
	
	ticks = 0
	frames = 0
	
	lastTimer = time.time() * 1000
	delta = 0.0
	
	while True:
		now = time.time() * 1000000000
		delta += float(now - lastTime) / float(nsPerTick)
		lastTime = now
		shouldRender = False
				
		while delta >= 1:
			ticks += 1
			main.TICKS += 1
			tick()
			delta -= 1
			shouldRender = True
		
		if shouldRender:
			frames += 1
			render()
		
		if time.time() * 1000 - lastTimer >= 1000:
			lastTimer += 1000
			
			# debug
			# print("Frames: " + str(frames) + ", ticks: " + str(ticks))
			
			frames = 0
			ticks = 0

# main variable
main = dummy()
init()

# start program
run()
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