⬚ 生成 Moser–de Bruijn 序列Generate Moser–de Bruijn Sequence

使用说明与常见问题How-to & FAQ

「生成 Moser–de Bruijn 序列」是什么？What is the Generate Moser–de Bruijn Sequence tool?

生成 Moser–de Bruijn 序列：把 n 的二进制位当作四进制数字得到的数（只含数字 0、1）。本地处理。Generate the Moser–de Bruijn sequence: interpret the binary digits of n as base-4 digits (only 0 and 1). Processed locally.

如何使用「生成 Moser–de Bruijn 序列」？How do I use the Generate Moser–de Bruijn Sequence tool?

在「生成 Moser–de Bruijn 序列」中，按需设置「项数」，结果会实时显示在下方，点击「复制结果」即可复制。In the Generate Moser–de Bruijn Sequence: Adjust "Terms"; the result appears below instantly — click "Copy result" to copy it.

有何用途？What is it for?

与四叉树、Z 阶曲线的奇数位掩码等相关。Related to quadtrees and odd-bit masks of Z-order curves.

输入和输出是什么样的？What does the input and output look like?

例如在「生成 Moser–de Bruijn 序列」中把「项数」设为 8，输出为：0 1 4 5 16 17 20 21（各项以空格分隔；勾选「每行一个」则每项占一行）。For example, in the Generate Moser–de Bruijn Sequence with "Terms" set to 8, the output is: 0 1 4 5 16 17 20 21 (terms are separated by spaces; tick "One per line" to put each term on its own line).

有哪些选项可以调整？What options can I adjust?

「生成 Moser–de Bruijn 序列」的设置：「项数」默认 32；可勾选：「每行一个」。每次生成结果都按当前设置处理。Settings in the Generate Moser–de Bruijn Sequence — "Terms" default 32; tick boxes: "One per line". The result always uses the current settings.

计算精度如何？How precise are the results?

「生成 Moser–de Bruijn 序列」输出的每一项都是精确的整数（最多 10000 项，最大一项是 68,485,205（约 6850 万），远小于 2^53），计算中没有舍入，也不涉及浮点精度问题。Every term the Generate Moser–de Bruijn Sequence outputs is an exact integer (up to 10,000 terms, the largest 68,485,205 (about 68 million), far below 2^53); there is no rounding and floating-point precision never comes into play.

「生成 Moser–de Bruijn 序列」免费吗？需要注册吗？Is the Generate Moser–de Bruijn Sequence free? Do I need an account?

「生成 Moser–de Bruijn 序列」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Generate Moser–de Bruijn Sequence is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.