# 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

¹The formula 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()``````

## One thought on “Prime Remainders”

This site uses Akismet to reduce spam. Learn how your comment data is processed.