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2015-06-01 22:30 363 查看
http://www.cnblogs.com/mycoding/archive/2011/07/07/2099878.html

工作中有遇到一些抽奖的活动,但是你懂得,抽奖物品的概率肯定不是一样,你会发现好的东西很难抽到,经常抽到一些垃圾的东西,嘿嘿,这就是本文要说的,我们要控制抽奖物品的概率。还有顺便说一句,网上这种小程序几乎没有,很多都是等概率的抽奖balabala…

需求很简单,为了更加形象,这里我们列一个表格来显示我们抽奖的物品和对应的概率(没有边框,大家凑合着看看吧,不想改造Octopress的样式了)
序号物品名称物品ID抽奖概率
1物品1P10.2
2物品2P20.1
3物品3P30.4
4物品4P40.3
5物品5P50.0
6物品6P6-0.1
7物品7P70.008
数据很简单,那么就直接看代码了

VO类,具体对应就是上面表格里的内容
(Gift.java)download

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package org.usc.usc.lottery;

public class Gift {
private int index;
private String gitfId;
private String giftName;
private double probability;

public Gift(int index, String gitfId, String giftName, double probability) {
this.index = index;
this.gitfId = gitfId;
this.giftName = giftName;
this.probability = probability;
}

public int getIndex() {
return index;
}

public void setIndex(int index) {
this.index = index;
}

public String getGitfId() {
return gitfId;
}

public void setGitfId(String gitfId) {
this.gitfId = gitfId;
}

public String getGiftName() {
return giftName;
}

public void setGiftName(String giftName) {
this.giftName = giftName;
}

public double getProbability() {
return probability;
}

public void setProbability(double probability) {
this.probability = probability;
}

@Override
public String toString() {
return "Gift [index=" + index + ", gitfId=" + gitfId + ", giftName=" + giftName + ", probability=" + probability + "]";
}

}

工具类,真正的不同概率的抽奖就在这里
(LotteryUtil.java)download

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package org.usc.usc.lottery;

import java.util.ArrayList;
import java.util.Collections;
import java.util.List;

/**
* 不同概率抽奖工具包
*
* @author Shunli
*/
public class LotteryUtil {
/**
* 抽奖
*
* @param orignalRates
*            原始的概率列表,保证顺序和实际物品对应
* @return
*         物品的索引
*/
public static int lottery(List<Double> orignalRates) {
if (orignalRates == null || orignalRates.isEmpty()) {
return -1;
}

int size = orignalRates.size();

// 计算总概率,这样可以保证不一定总概率是1
double sumRate = 0d;
for (double rate : orignalRates) {
sumRate += rate;
}

// 计算每个物品在总概率的基础下的概率情况
List<Double> sortOrignalRates = new ArrayList<Double>(size);
Double tempSumRate = 0d;
for (double rate : orignalRates) {
tempSumRate += rate;
sortOrignalRates.add(tempSumRate / sumRate);
}

// 根据区块值来获取抽取到的物品索引
double nextDouble = Math.random();
sortOrignalRates.add(nextDouble);
Collections.sort(sortOrignalRates);

return sortOrignalRates.indexOf(nextDouble);
}
}

测试类,测试上面的抽奖是否成功,n次抽奖看抽奖结果
(LotteryTest.java)download

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package org.usc.usc.lottery;

import java.util.ArrayList;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;

/**
* 不同概率抽奖
*
* @author ShunLi
*/
public class LotteryTest {
public static void main(String[] args) {
List<Gift> gifts = new ArrayList<Gift>();
// 序号==物品Id==物品名称==概率
gifts.add(new Gift(1, "P1", "物品1", 0.2d));
gifts.add(new Gift(2, "P2", "物品2", 0.2d));
gifts.add(new Gift(3, "P3", "物品3", 0.4d));
gifts.add(new Gift(4, "P4", "物品4", 0.3d));
gifts.add(new Gift(5, "P5", "物品5", 0d));
gifts.add(new Gift(6, "P6", "物品6", -0.1d));
gifts.add(new Gift(7, "P7", "物品7", 0.008d));

List<Double> orignalRates = new ArrayList<Double>(gifts.size());
for (Gift gift : gifts) {
double probability = gift.getProbability();
if (probability < 0) {
probability = 0;
}
orignalRates.add(probability);
}

// // test
// for (int i = 0; i < 10000; i++) {
// try {
// Gift tuple = gifts.get(LotteryUtil.lottery(orignalRates));
// System.out.println(tuple);
// } catch (Exception e) {
// System.out.println("lottery failed, please check it!");
// }
// }

// statistics
Map<Integer, Integer> count = new HashMap<Integer, Integer>();
double num = 1000000;
for (int i = 0; i < num; i++) {
int orignalIndex = LotteryUtil.lottery(orignalRates);

Integer value = count.get(orignalIndex);
count.put(orignalIndex, value == null ? 1 : value + 1);
}

for (Entry<Integer, Integer> entry : count.entrySet()) {
System.out.println(gifts.get(entry.getKey()) + ", count=" + entry.getValue() + ", probability=" + entry.getValue() / num);
}
}

}

结果

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Gift [index=1, gitfId=P1, giftName=物品1, probability=0.2], count=199139, probability=0.199139
Gift [index=2, gitfId=P2, giftName=物品2, probability=0.1], count=99328, probability=0.099328
Gift [index=3, gitfId=P3, giftName=物品3, probability=0.4], count=396575, probability=0.396575
Gift [index=4, gitfId=P4, giftName=物品4, probability=0.3], count=296997, probability=0.296997
Gift [index=7, gitfId=P7, giftName=物品7, probability=0.0080], count=7961, probability=0.007961

不同概率的抽奖原理很简单

就是把0到1的区间分块,而分块的依据就是物品占整个的比重,再根据随机数种子来产生0-1中间的某个数,来判断这个数是落在哪个区间上,而对应的就是抽到了那个物品。随机数理论上是概率均等的,产生的每个数理论上也应该概率均等,那么相应的区间所含数的多少就体现了抽奖物品概率的不同。(p.s. 当然数目是数不清楚的,具体抽象话了点)

这个实例的数据可以说明

1. 概率可以是负数和0,当然实际上中应该不会(p.s. 正常情况下可能真的有0,比如抽个iphone5,当然是抽不到的了,这个时候,构建礼物(List gifts)的时候最好就不要加这个进去),还有可以把负数的处理放到抽奖工具类(LotteryUtil)中;

2. 所有礼物加起来的概率可以不是1,可以认为这里的概率是一个权重;

小小分享了,倒是觉得大家可以自己先想想,如果你来写这样的小程序,如何来写,有没有其它的创意和想法?如果有什么建议或问题的话,可以通过微博 http://weibo.com/lishunli 联系到我,大家一起交流学习。

// 计算每个物品在总概率的基础下的概率情况

List<Double> sortOrignalRates = new ArrayList<Double>(size);

Double tempSumRate = 0d;

for (double rate : orignalRates) {

tempSumRate += rate;

sortOrignalRates.add(tempSumRate / sumRate);

}

在上述的代码中sumRate值是固定的,tempSumRate值是逐渐增大的,所以sortOrgnalRates中的值已经是排好序了的。所以不需要再用下面的代码去排序选出索引。

// 根据区块值来获取抽取到的物品索引

double nextDouble = Math.random();

sortOrignalRates.add(nextDouble);

Collections.sort(sortOrignalRates);

return sortOrignalRates.indexOf(nextDouble);

可以改成

double nextDouble = Math.random();

Double tempSumRate = 0d;

int i;

for (i = 0; i < orignalRates.size(); i++) {

tempSumRate += rate;

if (nextDouble <= tempSumRate) {

break;

}

sortOrignalRates.add(tempSumRate / sumRate);

}

return i;

-------------------------------------------

<!DOCTYPE html>

<html lang="en">

<head>
<!-- The jQuery library is a prerequisite for all jqSuite products -->
<script type="text/ecmascript" src="js/jquery-1.11.0.min.js"></script>
<!-- We support more than 40 localizations -->
<script type="text/ecmascript" src="js/i18n/grid.locale-en.js"></script>
<!-- This is the Javascript file of jqGrid -->
<script type="text/ecmascript" src="js/jquery.jqGrid.min.js"></script>
<!-- This is the localization file of the grid controlling messages, labels, etc.
<!-- A link to a jQuery UI ThemeRoller theme, more than 22 built-in and many more custom -->
<link rel="stylesheet" type="text/css" media="screen" href="css/ui.jqgrid.css" />
<!-- The link to the CSS that the grid needs -->
<link rel="stylesheet" type="text/css" media="screen" href="css/ui.jqgrid-bootstarp.css" />
<meta charset="utf-8" />
<title>jqGrid Loading Data - Million Rows from a REST service</title>
</head>
<body>

<table id="jqGrid"></table>

<script type="text/javascript">
$(document).ready(function () {
$("#jqGrid").jqGrid({
url: 'http://trirand.com/blog/phpjqgrid/examples/jsonp/getjsonp.php?callback=?&qwery=longorders',
mtype: "GET",
datatype: "jsonp",
colModel: [
{ label: 'OrderID', name: 'OrderID', key: true, width: 75 },
{ label: 'Customer ID', name: 'CustomerID', width: 150 },
{ label: 'Order Date', name: 'OrderDate', width: 150 },
{ label: 'Freight', name: 'Freight', width: 150 },
{ label:'Ship Name', name: 'ShipName', width: 150 }
],
viewrecords: true,
width: 480,
height: 150,
rowNum: 20,
pager: "#jqGridPager",
gridComplete: function () {

var div = $('#jqGrid').closest('.ui-jqgrid-bdiv')[0]//////////////
, scrollHeight = div.scrollHeight, scrollTop = 0;
var timer= setInterval(function () {
scrollTop += 5;
div.scrollTop = scrollTop;
if (scrollTop >= scrollHeight) scrollTop=0;//设置滚动头为0,重新开始就行了
}, 100);
}
});
});

</script>

</body>
</html
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