转自:https://github.com/kergoth/tslib

C library for filtering touchscreen events

tslib consists of the library libts and tools that help you calibrate and use it in your environment.

contact

If you have problems, questions, ideas or suggestions, please contact us by writing an email to tslib@lists.infradead.org, which is our mailing list.

website

Visit the tslib website for an overview of the project.

table of contents

setup and configure tslib

install tslib

tslib runs on various hardware architectures and operating systems, including GNU/Linux, FreeBSD or Android/Linux. See building tslib for details. Apart from building the latest tarball release, running ./configure, make and make install, tslib is available from distributors like Arch Linux / Arch Linux ARM, Buildroot, Debian / Ubuntu, Fedora or OpenSUSE and their package management.

configure tslib

This is just an example /etc/ts.conf file. Touch samples flow from top to bottom. Each line specifies one module and it's parameters. Modules are processed in order. Use one module_raw on top, that accesses your device, followed by any combination of filter modules.

module_raw input
module median depth=3
module dejitter delta=100
module linear

see the section below for available filters and their parameters. On Linux, your first commented-in line should always be module_raw input which offers one optional parameter: grab_events=1 if you want it to execute EVIOCGRAB on the device.

With this configuration file, we end up with the following data flow through the library:

driver --> raw read --> median  --> dejitter --> linear --> application (using ts_read_mt())
module module module module

calibrate the touch screen

Calibration is done by the linear plugin, which uses it's own config file /etc/pointercal. Don't edit this file manually. It is created by the ts_calibrate program:

# ts_calibrate

The calibration procedure simply requires you to touch the cross on screen, where is appears, as accurate as possible.

test the filtered input behaviour

You may quickly test the touch behaviour that results from the configured filters, using ts_test_mt:

# ts_test_mt

On the bottom left of the screen, you see the available concurrent touch contacts supported, and whether it's because the driver says so, or ts_test_mt was started with the -j commandline option to overwrite it.

environment variables (optional)

You may override defaults. In most cases you won't need to do so though:

TSLIB_TSDEVICE          Touchscreen device file name.
Default: automatic detection (on Linux) TSLIB_CALIBFILE Calibration file.
Default: ${sysconfdir}/pointercal TSLIB_CONFFILE Config file.
Default: ${sysconfdir}/ts.conf TSLIB_PLUGINDIR Plugin directory.
Default: ${datadir}/plugins TSLIB_CONSOLEDEVICE Console device. (not needed when using --with-sdl2)
Default: /dev/tty TSLIB_FBDEVICE Framebuffer device.
Default: /dev/fb0

use the filtered result in your system (X.org method)

If you're using X.org graphical X server, things should be very easy. Install tslib and xf86-input-tslib, reboot, and you should instantly have your ts.conf filters running, without configuring anything else yourself.

use the filtered result in your system (ts_uinput method)

TL;DR: Run tools/ts_uinput_start.sh during startup and use /dev/input/ts_uinput as your evdev input device.

tslib tries to automatically find your touchscreen device in /dev/input/event* on Linux. Now make ts_uinput use it, instead of your graphical environment directly:

# ts_uinput -d -v

-d makes the program return and run as a daemon in the background. -v makes it print the new /dev/input/eventX device node before returning.

Now make your graphical environmen use that new event device, using evdev drivers.

  • For Qt5 for example you'd probably set something like this:

    QT_QPA_GENERIC_PLUGINS=evdevtouch:/dev/input/eventX QT_QPA_EVDEV_TOUCHSCREEN_PARAMETERS=/dev/input/eventX:rotate=0

  • For X11 you'd probably edit your xorg.conf Section "InputDevice" for your touchscreen to have

    Option "Device" "/dev/input/eventX"

  • For Wayland, you'd make libinput use the new /dev/input/eventX and so on. Please see your system's documentation on how to use a specific evdev input device.

Let's recap the data flow here:

driver --> raw read --> filter(s) ... --> ts_uinput --> libevdev read  --> GUI app/toolkit
module module(s) ... daemon e.g. in libinput

symlink /dev/input/ts_uinput to the new event file

/dev/input/event numbers are not persistent. In order to know in advance, what enumerated input device file is created by ts_uinput, you can use a symlink:

  • use the included tools/ts_uinput_start.sh script that starts ts_uinput -d -v and creates the symlink called /dev/input/ts_uinput for you, or

  • if you're using systemd, create the following udev rule, for example /etc/udev/rules.d/98-touchscreen.rules:

    SUBSYSTEM=="input", KERNEL=="event[0-9]*", ATTRS{name}=="ts_uinput", SYMLINK+="input/ts_uinput"

running as systemd service (optional)

in case you have to use non-default paths, create a file containing the environment for tslib, like /etc/ts.env

  TSLIB_CALIBFILE=/etc/pointercal
TSLIB_CONFFILE=/etc/ts.conf
TSLIB_PLUGINDIR=/usr/lib/ts

and create a systemd service file, like /usr/lib/systemd/system/ts_uinput.service

  [Unit]
Description=touchscreen input
Wants=dev-input-ts_raw.device
After=dev-input-ts_raw.device [Service]
Type=oneshot
EnvironmentFile=/etc/ts.env
ExecStart=/bin/sh -c 'exec /usr/bin/ts_uinput &> /var/log/ts_uinput.log' [Install]
WantedBy=multi-user.target

and

  #systemctl enable ts_uinput

will enable it permanently.

other operating systems

There is no tool that we know of that reads tslib samples and uses the Windows touch injection API, for example (yet).

filter modules

module: linear

Linear scaling - calibration - module, primerily used for conversion of touch screen co-ordinates to screen co-ordinates. It applies the corrections as recorded and saved by the ts_calibrate tool. It's the only module that reads a configuration file.

Parameters (usually not needed):

  • xyswap

    interchange the X and Y co-ordinates -- no longer used or needed if the linear calibration utility ts_calibrate is used.

  • pressure_offset

    offset applied to the pressure value. Default: 0

  • pressure_mul

    factor to multiply the pressure value with. Default: 1.

  • pressure_div

    value to divide the pressure value by. Default: 1.

Example: module linear

module: invert

Invert values in X and/or Y direction around the given value. There are no default values. If specified, a value has to be set. If one axis is not specified, it's simply untouched.

Parameters:

  • x0

    X-axis (horizontal) value around which to invert.

  • y0

    Y-axis (vertical) value around which to invert.

Example: module invert y0=640 (Y-axis inverted for 640 screen height, X-axis untouched)

module: median

The median filter reduces noise in the samples' coordinate values. It is able to filter undesired single large jumps in the signal. For some theory, see Wikipedia

Parameters:

  • depth

    Number of samples to apply the median filter to. Default: 3.

Example: module median depth=5

module: pthres

Pressure threshold filter. Given a release is always pressure 0 and a press is always >= 1, this discards samples below / above the specified pressure threshold.

Parameters:

  • pmin

    Minimum pressure value for a sample to be valid. Default: 1.

  • pmax

    Maximum pressure value for a sample to be valid. Default: (INT_MAX).

Example: pthres pmin=10

module: iir

Infinite impulse response filter. This is a smoothing filter to remove low-level noise. There is a trade-off between noise removal (smoothing) and responsiveness. The parameters N and D specify the level of smoothing in the form of a fraction (N/D).

Wikipedia has some theory.

Parameters:

  • N

    numerator of the smoothing fraction. Default: 0.

  • D

    denominator of the smoothing fraction. Default: 1.

Example: module iir N=6 D=10

module: dejitter

Removes jitter on the X and Y co-ordinates. This is achieved by applying a weighted smoothing filter. The latest samples have most weight; earlier samples have less weight. This allows to achieve 1:1 input->output rate. See Wikipedia for some theory.

Parameters:

  • delta

    Squared distance between two samples ((X2-X1)^2 + (Y2-Y1)^2) that defines the 'quick motion' threshold. If the pen moves quick, it is not feasible to smooth pen motion, besides quick motion is not precise anyway; so if quick motion is detected the module just discards the backlog and simply copies input to output. Default: 100.

Example: module dejitter delta=100

module: debounce

Simple debounce mechanism that drops input events for the specified time after a touch gesture stopped. Wikipedia has more theory.

Parameters:

  • drop_threshold

    drop events up to this number of milliseconds after the last release event. Default: 0.

Example: module debounce drop_threshold=40

module: skip

Skip nhead samples after press and ntail samples before release. This should help if for the device the first or last samples are unreliable.

Parameters:

  • nhead

    Number of events to drop after pressure. Default: 1.

  • ntail

    Number of events to drop before release. Default: 1.

Example: module skip nhead=2 ntail=1

module: lowpass

Simple lowpass exponential averaging filtering module.

Parameters:

  • factor

    floating point value between 0 and 1; for example 0.2 for more smoothing or 0.8 for less. Default: 0.4.

  • threshold

    x or y minimum distance between two samples to start applying the filter. Default: 2.

Example: module lowpass factor=0.5 threshold=1

module: variance

Variance filter. Tries to do it's best in order to filter out random noise coming from touchscreen ADC's. This is achieved by limiting the sample movement speed to some value (e.g. the pen is not supposed to move quicker than some threshold).

There is no multitouch support for this filter (yet). ts_read_mt() will limit your input to one slot when this filter is used. Try using the median filter instead.

Parameters:

  • delta

    Set the squared distance in touchscreen units between previous and current pen position (e.g. (X2-X1)^2 + (Y2-Y1)^2). This defines the criteria for determining whenever two samples are 'near' or 'far' to each other.

    Now if the distance between previous and current sample is 'far', the sample is marked as 'potential noise'. This doesn't mean yet that it will be discarded; if the next reading will be close to it, this will be considered just a regular 'quick motion' event, and it will sneak to the next layer. Also, if the sample after the 'potential noise' is 'far' from both previously discussed samples, this is also considered a 'quick motion' event and the sample sneaks into the output stream.


The following example setup

       |--------|       |-----|      |--------------|
x ---> | median | ----> | IIR | ---> | | ---> x'
|--------| -> |-----| | screen |
| | transform |
| | (calibrate) |
|--------| | |-----| | |
y ---> | median | ----> | IIR | ---> | | ---> y'
|--------| |-> |-----| |--------------|
|
|
|----------|
p ---------> | debounce | -------------------------------> p'
|----------|

would be achieved by the following ts.conf:

module_raw input
module debounce drop_threshold=40
module median depth=5
module iir N=6 D=10
module linear

while you are free to play with the parameter values.

screen rotation

The graphical tools support rotating the screen, see ts_calibrate --help or the man pages for the details. Note that this only rotates the framebuffer output. Rotating the input samples is a different task that has to be done by the linear filter module (re-calibrating or re-loading with different parameters).


the libts library

the libts API

The API is documented in our man pages in the doc directory. Check out our tests directory for examples how to use it.

ts_libversion()
ts_open()
ts_config()
ts_setup()
ts_close()
ts_reconfig()
ts_option()
ts_fd()
ts_load_module()
ts_read()
ts_read_raw()
ts_read_mt()
ts_read_raw_mt()
int (*ts_error_fn)(const char *fmt, va_list ap)
int (*ts_open_restricted)(const char *path, int flags, void *user_data)
void (*ts_close_restricted)(int fd, void *user_data)
ts_get_eventpath()

using libts

To use the library from C or C++, include the following preprocessor directive
in your source files:

#include <tslib.h>

To link with with library, specify -lts as an argument to the linker.

compiling using autoconf and pkg-config

On UNIX systems you can use pkg-config to automatically select the appropriate compiler and linker switches for libts. The PKG_CHECK_MODULES m4 macro may be used to automatically set the appropriate Makefile variables:

PKG_CHECK_MODULES([TSLIB], [tslib >= 1.10],,
AC_MSG_ERROR([libts 1.10 or newer not found.])
)

If you want to support tslib < 1.2, while still support multitouch and all recent versions of tslib, you'd do something like this:

#include <tslib.h>

#ifndef TSLIB_VERSION_MT
/* ts_read() as before (due to old tslib) */
#else
/* new ts_setup() and ret = ts_read_mt() */
if (ret == -ENOSYS)
/* ts_read() as before (due to user config) */
#endif

This is a complete example program, similar to ts_print_mt.c:

#include <stdio.h>
#include <stdint.h>
#include <stdlib.h>
#include <fcntl.h>
#include <sys/time.h>
#include <unistd.h> #include <tslib.h> #define SLOTS 5
#define SAMPLES 1 int main(int argc, char **argv)
{
struct tsdev *ts;
char *tsdevice = NULL;
struct ts_sample_mt **samp_mt = NULL;
struct input_absinfo slot;
int ret, i, j; ts = ts_setup(tsdevice, 0);
if (!ts) {
perror("ts_setup");
return -1;
} samp_mt = malloc(SAMPLES * sizeof(struct ts_sample_mt *));
if (!samp_mt) {
ts_close(ts);
return -ENOMEM;
}
for (i = 0; i < SAMPLES; i++) {
samp_mt[i] = calloc(SLOTS, sizeof(struct ts_sample_mt));
if (!samp_mt[i]) {
free(samp_mt);
ts_close(ts);
return -ENOMEM;
}
} while (1) {
ret = ts_read_mt(ts, samp_mt, SLOTS, SAMPLES);
if (ret < 0) {
perror("ts_read_mt");
ts_close(ts);
exit(1);
} for (j = 0; j < ret; j++) {
for (i = 0; i < SLOTS; i++) {
#ifdef TSLIB_MT_VALID
if (!(samp_mt[j][i].valid & TSLIB_MT_VALID)
continue;
#else
if (samp_mt[j][i].valid < 1)
continue;
#endif printf("%ld.%06ld: (slot %d) %6d %6d %6d\n",
samp_mt[j][i].tv.tv_sec,
samp_mt[j][i].tv.tv_usec,
samp_mt[j][i].slot,
samp_mt[j][i].x,
samp_mt[j][i].y,
samp_mt[j][i].pressure);
}
}
} ts_close(ts);
}

If you know how many slots your device can handle, you could avoid malloc:

struct ts_sample_mt TouchScreenSamples[SAMPLES][SLOTS];

struct ts_sample_mt (*pTouchScreenSamples)[SLOTS] = TouchScreenSamples;
struct ts_sample_mt *ts_samp[SAMPLES];
for (i = 0; i < SAMPLES; i++)
ts_samp[i] = pTouchScreenSamples[i];

and call ts_read_mt() like so

ts_read_mt(ts, ts_samp, SLOTS, SAMPLES);

ABI - Application Binary Interface

Wikipedia has background information.

libts Soname versions

Usually, and every time until now, libts does not break the ABI and your application can continue using libts after upgrading. Specifically this is indicated by the libts library version's major number, which should always stay the same. According to our versioning scheme, the major number is incremented only if we break backwards compatibility. The second or third minor version will increase with releases. In the following example

libts.so -> libts.so.0.7.0
libts.so.0 -> libts.so.0.7.0
libts.so.0.7.0

use libts.so for using tslib unconditionally and libts.so.0 to make sure your current application never breaks.

If a release includes changes like added features, the second number is incremented and the third is set to zero. If a release includes mostly just bugfixes, only the third number is incremented.

tslib package version

A tslib tarball version number doesn't tell you anything about it's backwards compatibility.

dependencies

  • libc (with libdl only when building dynamically linked)
  • libsdl2-dev (only when using --with-sdl2 for SDL2 graphical applications)

related libraries

libts users

This lists the programs for the every day use of tslib, facing the outside world. For testing purposes there are tools like ts_test_mt too.

shipped as part of tslib

  • ts_calibrate - graphical calibration tool. Configures the linear filter module.
  • ts_uinput - userspace evdev driver for the tslib-filtered samples.

third party applications

  • xf86-input-tslib - direct tslib input driver for X11
  • qtslib - direct Qt5 tslib input plugin
  • enlightenment - A Window Manager (direct support in framebuffer mode, X11 via xf86-input-tslib)
  • DirectFB - Graphics library on top of framebuffer

tslib module API

struct tslib_module_info
struct tslib_vars
struct tslib_ops
tslib_parse_vars(struct tslib_module_info *,const struct tslib_vars *, int, const char *);

tslib modules (filter or driver/raw module) in the plugins directory need to
implement mod_init(). If the module takes parameters, it has to declare a
const struct tslib_vars and pass that, it's lengths and the params string
that is passed to mod_init to tslib_parse_vars() during mod_init().

Furthermore a const struct tslib_ops has to be declared, with it's members
pointing to the module's implementation of module-operations like read_mt
that get called in the chain of filters.

Symbols in Versions

Name Introduced
TSLIB_VERSION_MT 1.10
TSLIB_VERSION_OPEN_RESTRICTED 1.13
TSLIB_VERSION_EVENTPATH 1.15
TSLIB_MT_VALID 1.13
TSLIB_MT_VALID_TOOL 1.13
ts_libversion 1.10
ts_close 1.0
ts_config 1.0
ts_reconfig 1.3
ts_setup 1.4
ts_error_fn 1.0
ts_open_restricted 1.13
ts_close_restricted 1.13
ts_fd 1.0
ts_load_module 1.0
ts_open 1.0
ts_option 1.1
ts_read 1.0
ts_read_mt 1.3
ts_read_raw 1.0
ts_read_raw_mt 1.3
tslib_parse_vars 1.0
ts_get_eventpath 1.15

building tslib

shared vs. static builds

libts can be built to fit your needs. Use the configure script to enable only
the modules you need. By default, libts is built as a shared library, with
each module being a shared library object itself. You can, however, configure
tslib to build libts statically linked, and the needed modules compiled inside
of libts. Here's an example for this:

./configure --enable-static --disable-shared --enable-input=static --enable-linear=static --enable-iir=static

This should result in a libts.a of roughly 50 kilobytes, ready for using calibration (linear filter) and the infinite impulse response filter in ts.conf.

portable ts_calibrate and ts_test_mt using SDL2

In case you cannot draw to the framebuffer directly, there is an experimental implentation of the necessary graphical tools using SDL2. They are more portable but require more resources to run. To use them, make sure you have SDL2 and the development headers installed and use ./configure --with-sdl2.

portability

tslib is cross-platform; you should be able to build it on a large variety of operating systems.

libts and filter plugins (module)

This is the hardware independent core part: libts and all filter modules as shared libraries, build on the following operating systems and probably more.

  • GNU / Linux
  • Android / Linux
  • FreeBSD
  • GNU / Hurd
  • Haiku
  • Windows
  • Mac OS X

input plugins (module_raw)

This makes the thing usable in the real world because it accesses your device. See hardware support for the currently possible configuration for your platform.

The libts default configuration currently has the following input modules disabled:

  • cy8mrln-palmpre
  • dmc_dus3000
  • galax
  • arctic2
  • corgi
  • collie
  • dmc
  • h3600
  • mk712
  • ucb1x00

Please note that this list may grow over time. If you rely on a particular input plugin, you should enable it explicitely. On Linux you should only need input though.

  • GNU / Linux - all (most importantly input)

    • ./configure
  • Android / Linux - all (most importantly input)
    • ./configure
  • FreeBSD - almost all (most importantly input)
    • ./configure --disable-waveshare
  • GNU / Hurd - some, see hardware support
    • ./configure --disable-input --disable-waveshare
  • Haiku - some, see hardware support
    • ./configure --disable-input --disable-touchkit --disable-waveshare
  • Windows - no tslib module for the Windows touchscreen API (yet)
    • ./configure --with-sdl2 --disable-tatung --disable-input --disable-touchkit --disable-waveshare

Writing your own plugin is quite easy, in case an existing one doesn't fit.

test programs and tools

  • GNU / Linux - all
  • Android / Linux - all (?)
  • FreeBSD - all (?)
  • GNU / Hurd - ts_print_mt, ts_print, ts_print_raw, ts_finddev
  • Haiku - ts_print_mt, ts_print, ts_print_raw, ts_finddev
  • Windows - ts_print.exe, ts_print_raw.exe ts_print_mt.exe ts_test_mt.exe ts_calibrate.exe

download binaries?

For GNU/Linux all architectures are very well covered, thanks to Debian or Arch Linux or others.

If you're lucky, you'll find some unofficial testing builds for Windows or other platforms here.

Please help porting missing programs!

touchscreen hardware support

TL;DR: On Linux, use module_raw input

For mostly historical reasons, tslib includes device specific module_raw userspace drivers. The ts.conf man page has details on the available module_raw drivers; not all of them are listed in the default etc/ts.conf config file. Those are to be considered workarounds and may get disabled in the default configuration in the future. If you use one of those, please ./configure --enable-... it explicitely.

It is strongly recommended to have a real device driver for your system and use a generic access module_raw of tslib. For Linux (evdev) this is called input.

Tslib触摸屏官网【转】的更多相关文章

  1. 千呼万唤始出来,微软Power BI简体中文版官网终于上线了,中文文档也全了。。

    前几个月时间,研究微软Power BI技术,由于没有任何文档和资料,只能在英文官网瞎折腾,同时也发布了英文文档的相关文章:系列文章,刚好上周把文章发布完,结果简体中文版上线了.哈哈,心里有苦啊,早知道 ...

  2. Yeoman 官网教学案例:使用 Yeoman 构建 WebApp

    STEP 1:设置开发环境 与yeoman的所有交互都是通过命令行.Mac系统使用terminal.app,Linux系统使用shell,windows系统可以使用cmder/PowerShell/c ...

  3. 一键生成APP官网

    只需要输入苹果下载地址,安卓市场下载地址,或者内测下载地址,就能一键生成APP的官网,方便在网上推广. 好推APP官网 www.hotapp.cn/app

  4. RavenDB官网文档翻译系列第一

    本系列文章主要翻译自RavenDB官方文档,有些地方做了删减,有些内容整合在一起.欢迎有需要的朋友阅读.毕竟还是中文读起来更亲切吗.下面进入正题. 起航 获取RavenDB RavenDB可以通过Nu ...

  5. FineUI(开源版)v4.2.2发布(8年125个版本,官网示例突破300个)!

    开源版是 FineUI 的基石,从 2008 年至今已经持续发布了 120 多个版本,拥有会员 15,000 多位,捐赠会员达到 1,200 多位.   FineUI(开源版)v4.2.2 是 8 年 ...

  6. [干货]Chloe官网及基于NFine的后台源码毫无保留开放

    扯淡 经过不少日夜的赶工,Chloe 的官网于上周正式上线.上篇博客中LZ说过要将官网以及后台源码都会开放出来,为了尽快兑现我说过的话,趁周末,我稍微整理了一下项目的源码,就今儿毫无保留的开放给大家, ...

  7. React.js 官网入门教程 分离文件 操作无法正常显示HelloWord

    对着React官网的教程练习操作,在做到分离文件练习时,按照官网步骤来却怎么也无法正常显示HelloWord. 经测试,html文件中内容改为: <!DOCTYPE html><ht ...

  8. 学记:spring boot使用官网推荐以外的其他数据源druid

    虽然spring boot提供了4种数据源的配置,但是如果要使用其他的数据源怎么办?例如,有人就是喜欢druid可以监控的强大功能,有些人项目的需要使用c3p0,那么,我们就没办法了吗?我们就要编程式 ...

  9. maven向本地仓库导入jar包(处理官网没有的jar包)

    对于官网没有的jar包,maven向本地仓库导入jar包用如下命令 mvn install:install-file -DgroupId=包名 -DartifactId=项目名 -Dversion=版 ...

随机推荐

  1. Android应用流量测试

    工具 GT(中文产品名称:随身调):是腾讯出品的开源调试工具,本次测试中用其进行手机的流量统计和抓包.请在Android手机上安装GT应用(可以通过官网或应用宝下载). Wireshark:抓包的分析 ...

  2. iOS-开发者账号与证书

    0.开发者账号的申请 1.iOS-证书相关 2.iOS-证书申请 3.iOS-APNS证书申请与使用 4.iOS-App发布证书的申请与使用

  3. Hadoop RPC protocol description--转

    原文地址:https://spotify.github.io/snakebite/hadoop_rpc.html Snakebite currently implements the followin ...

  4. 【bzoj3518】点组计数 欧拉函数(欧拉反演)

    题目描述 平面上摆放着一个n*m的点阵(下图所示是一个3*4的点阵).Curimit想知道有多少三点组(a,b,c)满足以a,b,c三点共线.这里a,b,c是不同的3个点,其顺序无关紧要.(即(a,b ...

  5. 洛谷 P1344 [USACO4.4]追查坏牛奶Pollutant Control

    题目描述 你第一天接手三鹿牛奶公司就发生了一件倒霉的事情:公司不小心发送了一批有三聚氰胺的牛奶.很不幸,你发现这件事的时候,有三聚氰胺的牛奶已经进入了送货网.这个送货网很大,而且关系复杂.你知道这批牛 ...

  6. 【刷题】洛谷 P2675 《瞿葩的数字游戏》T3-三角圣地

    题目背景 国王1带大家到了数字王国的中心:三角圣地. 题目描述 不是说三角形是最稳定的图形嘛,数字王国的中心便是由一个倒三角构成.这个倒三角的顶端有一排数字,分别是1 ~ N.1 ~ N可以交换位置. ...

  7. JAVA实现Excel批量导入

    一.模板下载: 先将模板放在项目WebRoot下的download文件夹下: /** * @Title: downloadFile * @Description: 模板下载 (网络地址) * @par ...

  8. Codeforces243A The Brand New Function

    A. The Brand New Function time limit per test 2 seconds memory limit per test 256 megabytes input st ...

  9. BNU-2017.7.3排位赛1总结

    比赛链接:https://www.bnuoj.com/v3/contest_show.php?cid=9146#info A题 国际象棋棋盘,黑白相间染色. B题 最大值只取决于每个连通块的大小,一个 ...

  10. redis 配置和使用(C++)

    一.Redis简介: Redis为非关系型数据库,Redis是一个Key-Value存储系统.它支持存储的value类型有:string(字符串),list(链表), set(无序集合),zset(s ...