数学 - Python - BLAZING YOUR OWN TRAIL - CELLULAR AUTOMATA - CHANGING THE RULE SET, ZOOMING IN AND OUT - fractal, event, keyPressed function, zoom in, zoom out

Math Adventures with Python
An Illustrated Guide to Exploring Math with Code
楽天ブックス(Kobo) 紀伊国屋書店(Kinoppy)

開発環境

• macOS Mojave - Apple (OS)
• Emacs (Text Editor)
• Windows 10 Pro (OS)
• Visual Studio Code (Text Editor)
• Python 3.7 (プログラミング言語)
• Processing 3 (プログラミング言語、統合開発環境、グラフィック機能)

Math Adventures with Python: An Illustrated Guide to Exploring Math with Code (Peter Farrell(著)、No Starch Press)のPART 3(BLAZING YOUR OWN TRAIL)、11(CELLULAR AUTOMATA)、EXERCISE 11-2(CHANGING THE RULE SET)、11-3(ZOOMING IN AND OUT)の解答を求めてみる。

コード

Python 3

w = 5
rows = 100
cols = 100
cells = []
n = 90
# [0, 1, 0, 1, 1, 0, 1, 0]
# 90以外の他の数値でも試せるような方法で
# rule_set = [int(d) for d in f'{n:0>8b}'] python2でf-stringは使えない
rule_set = [int(d) for d in '{:0>8b}'.format(n)]


def rules(a, b, c):
    return rule_set[7 - sum([2 ** (2 - i) * o
                             for i, o in enumerate([a, b, c])])]


def generate():
    global cells
    for i, row in enumerate(cells):
        for j in range(1, len(row) - 1):
            left = row[j - 1]
            me = row[j]
            right = row[j + 1]
            if i < len(cells) - 1:
                cells[i + 1][j] = rules(left, me, right)
    return cells


def setup():
    global cells
    size(960, 515)
    cells = [[0 for _ in range(cols)]
             for _ in range(rows)]
    cells[0][cols // 2] = 1
    cells = generate()


def draw():
    global cells
    background(255)
    for i, cell in enumerate(cells):
        for j, v in enumerate(cell):
            if v == 1:
                fill(0)
            else:
                fill(255)
            rect(j * w - (cols * w - width) / 2, w * i, w, w)


def keyPressed():
    global w, n

    if key == CODED:
        if keyCode == UP:
            w += 1
        elif keyCode == DOWN:
            w -= 1