我使用的Linux发行版是LinuxMint 17.2 Rafaela,默认情况下Terminal中的shell提示包括了用户名、主机名、当前目录(绝对路径)和提示符。这样会导致当进入一个比较深的目录时,提示符太长(如下图所示),操作起来就不太方便了。
我们可以自定义Linux系统终端提示符。Linux系统终端提示符的特征由系统环境变量PS1(是“prompt string one” 的简写)定义。通过命令echo $PS1查看当前设置。从上图可以看到我的Linux机器上该环境变量PS1的值。下面我们通过改变环境变量PS1的值来将shell提示符设置得更加清爽点。
1.基本转义字符
PS1的值由一系列静态文本或\和转义字符序列组成,如:
$ PS1=”\u@\H \w$ ”
表1: Shell 提示符中用到的转义字符
序列 |
显示值 |
\a |
以 ASCII 格式编码的铃声 . 当遇到这个转义序列时,计算机会发出嗡嗡的响声。 |
\d |
以日,月,天格式来表示当前日期。例如,“Mon May 26” |
\h |
本地机的主机名,但不带末尾的域名。 |
\H |
完整的主机名。 |
\j |
运行在当前 shell 会话中的工作数。 |
\l |
当前终端设备名。 |
\n |
一个换行符。 |
\r |
一个回车符。 |
\s |
shell 程序名。 |
\t |
以24小时制,hours:minutes:seconds 的格式表示当前时间. |
\T |
以12小时制表示当前时间。 |
\@ |
以12小时制,AM/PM 格式来表示当前时间,例如“10:51 PM”。 |
\A |
以24小时制,hours:minutes 格式表示当前时间。 |
\u |
当前用户名。 |
\v |
shell 程序的版本号,例如4.3。 |
\V |
shell 程序的版本号,例如4.3.11。 |
\w |
当前工作目录名。 |
\W |
当前工作目录名的最后部分。 |
\! |
当前命令的历史号。 |
\# |
当前 shell 会话中的命令数。 |
\$ |
这会显示一个"$"字符,除非你拥有超级用户权限。在那种情况下, 它会显示一个"#"字符。 |
\[ |
标志着一系列一个或多个非打印字符的开始。这被用来嵌入非打印的控制字符,这些字符以某种方式来操作终端仿真器,比方说移动光标或者是更改文本颜色。 |
\] |
标志着非打印字符序列结束。 |
例如我现在想让提示符显示格式为:“<用户名>@<当前目录名> $ ”,则
$ PS1=”\u@\W\$ ”
效果如下所示,
上面能够满足我们的效果了,但是相对于LinuxMint原始的提示符,缺少了颜色,不太美观。下面我们来学习如何添加颜色。大多数终端仿真器程序支持一定的非打印字符序列来控制,比方说字符属性(像颜色,黑体和可怕的闪烁) 和光标位置。
2.字体颜色
字体颜色是由一个ANSI 转义编码来控制的。该控制编码会嵌入字符流中并发送给终端仿真器。但是,该控制编码不会被“打印”到屏幕上,而是会被终端解释为一个指令。正如我们在上表看到的字符序列, 这个 \[ 和 \] 序列被用来封装这些非打印字符。一个 ANSI 转义编码以一个八进制033(这个编码是由 退出按键产生的)开头,其后跟着一个可选的字符属性(0:正常、1:黑体、4:下划线、5:闪烁、7:反向(前景色和背景色反转)),在之后是一个指令。
表14-2: 用转义序列来设置文本颜色
序列 |
文本颜色 |
序列 |
文本颜色 |
\033[0;30m |
黑色 |
\033[1;30m |
深灰色 |
\033[0;31m |
红色 |
\033[1;31m |
浅红色 |
\033[0;32m |
绿色 |
\033[1;32m |
浅绿色 |
\033[0;33m |
棕色 |
\033[1;33m |
黄色 |
\033[0;34m |
蓝色 |
\033[1;34m |
浅蓝色 |
\033[0;35m |
粉红 |
\033[1;35m |
浅粉色 |
\033[0;36m |
青色 |
\033[1;36m |
浅青色 |
\033[0;37m |
浅灰色 |
\033[1;37m |
白色 |
例如我们来设置一个同LinuxMint默认的绿色提示符,
$ PS1="\[\033[01;32m\]\u@\W\$\[\033[00m\] "
于是,我们便有了下面的效果。
上面跟设置的提示符格式中的最后那个”\[\033[00m\]”是用于将后续的字符颜色还原回原来的颜色。如果没有没有加最后这个转义码,则会出现下面结果(我们自己手工输入的命令也都将是绿色的)。
3.背景颜色
除了字体颜色,我们也可以设置字体的背景颜色。同样是通过转义的控制编码来实现,下表是背景颜色的控制编码。
表3: 用转义序列来设置背景颜色
\033[0;40m |
黑色 |
\033[1;44m |
蓝色 |
\033[0;41m |
红色 |
\033[1;45m |
粉红 |
\033[0;42m |
绿色 |
\033[1;46m |
青色 |
\033[0;43m |
棕色 |
\033[1;47m |
浅灰色 |
4.移动光标:
转义编码也可以用来定位光标。这些编码通常被用来,每次当提示符出现的时候,会在屏幕的不同位置,比如说上面一个角落,显示一个时钟或者其它一些信息。下表是一系列用来定位光标的转义编码:
表14-4: 光标移动转义序列
转义编码 |
行动 |
\033[l;cH |
把光标移到第 l 行,第 c 列。 |
\033[nA |
把光标向上移动 n 行。 |
\033[nB |
把光标向下移动 n 行。 |
\033[nC |
把光标向前移动 n 个字符。 |
\033[nD |
把光标向后移动 n 个字符。 |
\033[2J |
清空屏幕,把光标移到左上角(第零行,第零列)。 |
\033[K |
清空从光标位置到当前行末的内容。 |
\033[s |
存储当前光标位置。 |
\033[u |
唤醒之前存储的光标位置。 |
5.保存提示符
我们在当前打开的Terminal中设置环境变量PS1的值来自定义的终端提示符,只在当前Terminal中有效,打开新的Terminal就会采用系统默认的提示符了。我们当让不希望每次打开Terminal的时候都要重新设置一次SP1环境变量。
~/.bashrc文件会在每次打开一个Terminal之前会被执行一次。于是,我们可以将设置环境变量SP1的命令放到该文件中,便不需要每次都手工再设置一次SP1的值。于是,我们在~/.bashrc配置文件末尾加入下面两行内容,
PS1="\[\033[01;32m\]\u@\W\$\[\033[00m\] "
export PS1
于是,每次打开Terminal便都会有如下提示符效果,
6.示例
(1)格式:“<用户名>@<当前目录名>$”
$ PS1="\u@\W\$ "
效果如下:
(2)添加下划线:
$ PS1="\[\033[4;37m\]\u@\W\$\[\033[00m\] "
效果如下:
(3)前景色为绿色:
$ PS1="\[\033[0;32m\]\u@\W\$\[\033[00m\] "
效果如下:
(4)前景色为绿色,背景色为红色:
$ PS1="\[\033[0;41m\033[1;32m\]\u@\W\$\[\033[00m\] "
效果如下:
(5)设置一个超级复杂的,通过移动光标来设置一个每次显示提示符的时候都在当前Terminal的第一行显示当前时间。
$ PS1='\[\033[s\033[0;0H\033[0;41m\033[K\033[1;33m\t\033[0m\033[u\033[1;32m\]\u@\W\$ \[\033[00m\] '
效果如下:
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" alt="" />
参考:
http://billie66.github.io/TLCL/book/chap14.html
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