axi/examples/poisson_disc.py

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2017-01-14 03:18:02 +00:00
import random
from math import pi, sin, cos, hypot, floor
class Grid(object):
def __init__(self, r):
self.r = r
self.size = r / 2 ** 0.5
self.cells = {}
def points(self):
return self.cells.values()
def normalize(self, x, y):
i = int(floor(x / self.size))
j = int(floor(y / self.size))
return (i, j)
def nearby(self, x, y):
result = []
i, j = self.normalize(x, y)
for p in xrange(i - 2, i + 3):
for q in xrange(j - 2, j + 3):
if (p, q) in self.cells:
result.append(self.cells[(p, q)])
return result
def insert(self, x, y):
for bx, by in self.nearby(x, y):
if hypot(x - bx, y - by) < self.r:
return False
i, j = self.normalize(x, y)
self.cells[(i, j)] = (x, y)
return True
def poisson_disc(x1, y1, x2, y2, r, n):
x = x1 + (x2 - x1) / 2.0
y = y1 + (y2 - y1) / 2.0
active = [(x, y)]
grid = Grid(r)
grid.insert(x, y)
while active:
ax, ay = random.choice(active)
for i in xrange(n):
a = random.random() * 2 * pi
d = random.random() * r + r
x = ax + cos(a) * d
y = ay + sin(a) * d
if x < x1 or y < y1 or x > x2 or y > y2:
continue
if not grid.insert(x, y):
continue
active.append((x, y))
break
else:
active.remove((ax, ay))
return grid.points()