Descartes.java import java.util.ArrayList;import java.util.Arrays;import java.util.List;/** * 循环和递归两种方式实现未知维度集合的笛卡尔积 * Created on 2015-05-22 * @author luweijie */public class Descartes { /** * 递归
import java.util.ArrayList; import java.util.Arrays; import java.util.List; /** * 循环和递归两种方式实现未知维度集合的笛卡尔积 * Created on 2015-05-22 * @author luweijie */ public class Descartes { /** * 递归实现dimValue中的笛卡尔积,结果放在result中 * @param dimValue 原始数据 * @param result 结果数据 * @param layer dimValue的层数 * @param curList 每次笛卡尔积的结果 */ private static void recursive (List> dimValue, List
> result, int layer, List
curList) { if (layer < dimValue.size() - 1) { if (dimValue.get(layer).size() == 0) { recursive(dimValue, result, layer + 1, curList); } else { for (int i = 0; i < dimValue.get(layer).size(); i++) { List list = new ArrayList (curList); list.add(dimValue.get(layer).get(i)); recursive(dimValue, result, layer + 1, list); } } } else if (layer == dimValue.size() - 1) { if (dimValue.get(layer).size() == 0) { result.add(curList); } else { for (int i = 0; i < dimValue.get(layer).size(); i++) { List list = new ArrayList (curList); list.add(dimValue.get(layer).get(i)); result.add(list); } } } } /** * 循环实现dimValue中的笛卡尔积,结果放在result中 * @param dimValue 原始数据 * @param result 结果数据 */ private static void circulate (List > dimValue, List
> result) { int total = 1; for (List
list : dimValue) { total *= list.size(); } String[] myResult = new String[total]; int itemLoopNum = 1; int loopPerItem = 1; int now = 1; for (List list : dimValue) { now *= list.size(); int index = 0; int currentSize = list.size(); itemLoopNum = total / now; loopPerItem = total / (itemLoopNum * currentSize); int myIndex = 0; for (String string : list) { for (int i = 0; i < loopPerItem; i++) { if (myIndex == list.size()) { myIndex = 0; } for (int j = 0; j < itemLoopNum; j++) { myResult[index] = (myResult[index] == null? "" : myResult[index] + ",") + list.get(myIndex); index++; } myIndex++; } } } List stringResult = Arrays.asList(myResult); for (String string : stringResult) { String[] stringArray = string.split(","); result.add(Arrays.asList(stringArray)); } } /** * 程序入口 * @param args */ public static void main (String[] args) { List list1 = new ArrayList (); list1.add("1"); list1.add("2"); List list2 = new ArrayList (); list2.add("a"); list2.add("b"); List list3 = new ArrayList (); list3.add("3"); list3.add("4"); list3.add("5"); List list4 = new ArrayList (); list4.add("c"); list4.add("d"); list4.add("e"); List > dimValue = new ArrayList
>(); dimValue.add(list1); dimValue.add(list2); dimValue.add(list3); dimValue.add(list4); List
> recursiveResult = new ArrayList
>(); // 递归实现笛卡尔积 recursive(dimValue, recursiveResult, 0, new ArrayList
()); System.out.println("递归实现笛卡尔乘积: 共 " + recursiveResult.size() + " 个结果"); for (List list : recursiveResult) { for (String string : list) { System.out.print(string + " "); } System.out.println(); } List > circulateResult = new ArrayList
>(); circulate(dimValue, circulateResult); System.out.println("循环实现笛卡尔乘积: 共 " + circulateResult.size() + " 个结果"); for (List
list : circulateResult) { for (String string : list) { System.out.print(string + " "); } System.out.println(); } } }