sketch-a-day/2020/sketch_2020_09_15polyominoes/polyomino.py

81 wiersze
2.2 KiB
Python

from collections import namedtuple
Square = namedtuple('Square', 'x y')
class Polyomino(object):
def __init__(self, iterable):
self.squares = tuple([Square(*s) for s in sorted(iterable)])
def __repr__(self):
return "%s(%s)" % (self.__class__.__name__, repr(self.squares))
def __iter__(self):
return iter(self.squares)
def __len__(self):
return len(self.squares)
def __eq__(self, other):
return hash(self) == hash(other)
def __hash__(self):
"""
Determine the hash (an integer "key/id" number)
it is the smaller number (hash) of the square tuples
of itself and its 3 rotated siblings
"""
p = self.translate()
h = hash(p.squares)
for _ in range(3):
p = p.rotate().translate()
h = min(h, hash(p.squares))
return h
def rotate(self):
"""Return a Polyomino rotated clockwise"""
return Polyomino((-y, x) for x, y in self)
def translate(self):
"""Return a Polyomino Translated to 0,0"""
minX = min(s.x for s in self)
minY = min(s.y for s in self)
return Polyomino((x-minX, y-minY) for x, y in self)
def raise_order(self):
"""Return a list of higher order Polyonominos evolved from self"""
polyominoes = []
for s in self:
adjacents = (adjacent for adjacent in (
(s.x + 1, s.y),
(s.x - 1, s.y),
(s.x, s.y + 1),
(s.x, s.y - 1),
) if adjacent not in self)
for adjacent in adjacents:
polyominoes.append(
Polyomino(list(self) + [adjacent])
)
return polyominoes
def render(self):
"""
Returns a string map representation of the Polyomino
"""
p = self.translate()
order = len(p)
return ''.join(
["\n %s" % (''.join(
["X" if (x, y) in p.squares else "-" for x in range(order)]
)) for y in range(order)]
)
def draw(self, w):
"""
draw
"""
p = self.translate()
order = len(p)
for x, y in p.squares:
rect(x * w, y *w, w, w)