from math import pi, cos, sin, exp

import pygame, colorsys

# === graph data ===

# vertices as screen positions
viewsize = 600
shrink = 0.9
vertices = [(viewsize*(1 + shrink*x)/2, viewsize*(1 + shrink*y)/2) for x, y in
  [(0, 0)] + [(cos(-n*pi/5), sin(-n*pi/5)) for n in range(10)] + [(0, 0)]
]

# edges as vertex pairs. FireStar will rest on vertices 6 (A), 5 (B), 7 (C)
edges = [
  (0, 1), (0, 3), (0, 5), (0, 7), (0, 9),
  (2, 8), (2, 6), (6, 10), (10, 4), (4, 8),
  (2, 9), (2, 11), (2, 5),
  (4, 1), (4, 9), (4, 7),
  (6, 3), (6, 11), (6, 9),
  (8, 5), (8, 11), (8, 1),
  (10, 7), (10, 11), (10, 3),
  (9, 3), (9, 5),
  (1, 5), (1, 7),
  (3, 7)
]

# cyclic edge adjacencies
cyc_edge_adj = [
  (0, 1), (1, 2), (2, 3), (3, 4), (4, 0),
  (5, 10), (10, 11), (11, 12), (12, 6), (6, 5),
  (6, 16), (16, 17), (17, 18), (18, 7), (7, 6),
  (7, 22), (22, 23), (23, 24), (24, 8), (8, 7),
  (8, 13), (13, 14), (14, 15), (15, 9), (9, 8),
  (5, 9), (9, 19), (19, 20), (20, 21), (21, 5),
  (4, 10), (10, 25), (25, 26), (26, 18), (18, 4),
  (3, 15), (15, 29), (29, 28), (28, 22), (22, 3),
  (2, 12), (12, 27), (27, 26), (26, 19), (19, 2),
  (1, 24), (24, 25), (25, 29), (29, 16), (16, 1),
  (0, 21), (21, 28), (28, 27), (27, 13), (13, 0),
  (14, 11), (11, 23), (23, 20), (20, 17), (17, 14)
]

# === interaction parameters ===

frame_rate = 24
inductance = 0.001
drain = False
drain_rate = 0.1

# === phase space ===

charge = 12*[0]
current = 30*[0]

# === main loop ===

if __name__ == '__main__':
  # set up display and clock
  pygame.init()
  screen = pygame.display.set_mode((viewsize, viewsize + 100))
  pygame.display.set_caption('Preview')
  font = pygame.font.Font(None, 25)
  clock = pygame.time.Clock()
  
  # set up background
  background = pygame.Surface(screen.get_size()).convert()
  background.fill((32, 32, 32))
  
  to_light = 0
  while True:
    # handle events
    for event in pygame.event.get():
      if event.type == pygame.KEYDOWN:
        if event.key == pygame.K_j:
          charge[0] += 10
          charge[11] -= 10
        elif event.key == pygame.K_k:
          charge[0] += 100
          charge[11] -= 100
        elif event.key == pygame.K_SPACE:
          drain = True
        pygame.draw.aaline(screen, (255, 255, 255), (0, 0), (viewsize, viewsize))
      elif event.type == pygame.KEYUP:
        if event.key == pygame.K_SPACE:
          drain = False
      elif event.type == pygame.QUIT:
        quit()
    
    # print data
    energy = 0.5*(sum(q*q for q in charge) + inductance*sum(i*i for i in current))
    screen.blit(background, (0, 0))
    text = font.render('energy', True, (255, 255, 255))
    screen.blit(text, (20, viewsize))
    text = font.render(str(energy), True, (255, 255, 255))
    screen.blit(text, (120, viewsize))
    text = font.render('charge[0]', True, (255, 255, 255))
    screen.blit(text, (20, 30 + viewsize))
    text = font.render(str(charge[0]), True, (255, 255, 255))
    screen.blit(text, (120, 30 + viewsize))
    
    # show state
    for e in range(30):
      litness = 1 - exp(-2*current[e]*current[e])
      color = colorsys.hsv_to_rgb(0.45 + litness*0.25, 1 - 0.5*litness*litness, litness)
      ##color = colorsys.hsv_to_rgb(litness*0.167, 1 - 0.5*litness*litness, litness)
      pygame.draw.aaline(
        screen,
        tuple(255*c for c in color),
        vertices[edges[e][0]],
        vertices[edges[e][1]],
      )
    
    # evolve state. use verlet integration, first updating the currents and then
    # using the new currents to update the charges.
    for e in range(30):
      u, v = edges[e]
      ##current[e] *= 1 - resistance
      current[e] += inductance*(charge[u] - charge[v])
    for e in range(30):
      u, v = edges[e]
      charge[u] -= current[e]
      charge[v] += current[e]
    if drain:
      for v in range(12):
        charge[v] *= 1 - drain_rate
    
    # step
    pygame.display.flip()
    clock.tick(frame_rate)