Problem solving in Karel
Decomposition
The Idea of an algorithm
1. 翻山越岭的Karl
Karl爬山，不管是百步梯还是千步梯，类似图1
图 1
这个范例主要学习将问题分解成一个个简单的模块，化繁为简，逐步求精。
思路：
1> Karel来到山脚下（爬山当然要先到山边，没有自驾车，没有景区bus，没有。。。，只有2条腿；）。
2> 开始爬山，就是上楼梯，下楼梯；
3> 离开（爬山结束，该干嘛干嘛去，反正不能堵了山门干收费的勾当）。
1>和3>好说，Karel够单一，认准一个方向（east）直走，碰到墙就停下。
2>应该可以再分为3步：上山、登顶、下山。
上山：只要前面有楼梯（墙）就上，也就是左转 –> 移动 –> 右转 –> 移动；如此循环，就登顶了。
登顶：好不容易爬上来，会当临决定，总要做些啥，不管是插旗还是撒尿都可以表达到此一游，Karel只能放个方块表示。
下山：应该类似上山，只要前面为空（悬崖，别抬杠），就前进 –> 右转 –> 前进 –> 左转，如此循环，直到下到山脚。
分析到这里，似乎一切都ok，敲代码验证就完事儿了。但是，假设山是名山，修得特标准，上下都是一级级的台阶，但人就不同了，形形色色，四面八方，借问Karel一句：施主从何而来，又向何而去？ Karel当然说：俺从西边来，向东边去。至于来有多近，去有多远。Karel就不操心了，按照指令走就是。这时，在看看上面的算法，似乎都ok，对应图1，下山也没问题，但要是环境变为11格，希望Karel走的更远，Karel就会撞地上了。悲催！
所以，下山的步骤就需要修改下：前面的问题就在于Karel不晓得自己是否已下到山脚，所以下山的条件是脚下是空的才能下，
下山：前进 –> 脚下是否为空（是 –> 右转 –> 前进 –> 左转 –> 看前面还有路否？（是 –> 前进）） 如此循环。
代码：
1 /*
2 * File: MountainKarel7.java
3 * -------------------------
4 * The MountainKarel7 subclass gets Karel to climb a simple
5 * mountain, plant a flag, and descend to the ground. This
6 * version generalizes the program so that it can climb a
7 * stair-step mountain of any size.
8 */
9
10 import stanford.karel.*;
11
12 /* Main program */
13
14 public class MountainKarel7 extends SuperKarel {
15
16 /**
17 * Runs the program.
18 */
19 public void run() {
20 moveToWall();
21 climbMountain();
22 moveToWall();
23 }
24
25 /**
26 * Purports to climb up and down a stair-step mountain of
27 * any size. This code is considerably better than the
28 * last attempt, but still has a small bug.
29 */
30 private void climbMountain() {
31 while (frontIsBlocked()) {
32 stepUp();
33 }
34 putBeeper();
35 move();
36 while (rightIsClear()) {
37 dropDown();
38 }
39 }
40
41 /**
42 * Send Karel up the step ahead of it.
43 */
44 private void stepUp() {
45 turnLeft();
46 move();
47 turnRight();
48 move();
49 }
50
51 /**
52 * Drops down from the midair position just past a
53 * descending step.
54 */
55 private void dropDown() {
56 turnRight();
57 move();
58 turnLeft();
59 if (frontIsClear()) {
60 move();
61 }
62 }
63
64 /**
65 * Moves Karel forward until it is blocked by a wall.
66 */
67 private void moveToWall() {
68 while (frontIsClear()) {
69 move();
70 }
71 }
72 }
2. “种树”的Karel
春寒料峭，Stanford校园里的树都光秃秃的（啥，怎没有冬青树），Karel从西向东闲逛。路见秃树，就想把其装饰下，装饰前后的效果如图2、3.
图 2
图 3
Karel不知道树有多高，多远。只确定有足够的方块装饰每棵树。
算法分析：
Karel要做的就是找到树，装饰它。
找树简单，就好比碰到墙就停下。
装饰树：爬树 –> 放树叶 –> 下树。
爬树：左转 –> 只要右边有树（墙）就前进 –> 右转。
放树叶：按图3所示放4个方块 –> 前进 –> 右转。
放4个方块：放1个方块 –> 前进 –> 左转 （循环4次）。
下树：类似上树，只要没碰到地就一直前进。
代码：
1 /*
2 * File: BanishWinter.java
3 * -----------------------
4 * The BanishWinter subclass gets Karel adorn a series
5 * of trees with a cluster of beeper leaves.
6 */
7
8 import stanford.karel.*;
9
10 public class BanishWinter extends SuperKarel {
11
12 /* Main program */
13
14 public void run() {
15 while (beepersInBag()) {
16 findTree();
17 addLeavesToTree();
18 }
19 moveToWall();
20
21 }
22
23 /*
24 * Moves Karel up to the next tree.
25 *
26 * Programming style note: Since a tree is simply a wall,
27 * this method can simply call moveToWall. You could
28 * therefore replace the findTree call in the main program
29 * with moveToWall, but the program might then be harder to
30 * read because it violates the "tree" metaphor used at the
31 * level of the main program.
32 */
33 private void findTree() {
34 moveToWall();
35 }
36
37 /*
38 * Adorns a single tree with a cluster of leaves. The
39 * precondition is that Karel must be immediately
40 * west of the tree, facing east; the postcondition is
41 * that Karel is at the bottom of the other side of the
42 * tree, facing east.
43 */
44 private void addLeavesToTree() {
45 turnLeft();
46 climbTree();
47 addLeaves();
48 descendToGround();
49 turnLeft();
50 }
51
52 /*
53 * Climbs to the top of the tree.
54 */
55 private void climbTree() {
56 while (rightIsBlocked()) {
57 move();
58 }
59 }
60
61 /*
62 * Moves Karel back to the ground. Both the pre- and
63 * postconditions have Karel facing south.
64 */
65 private void descendToGround() {
66 moveToWall();
67 }
68
69 /*
70 * Creates the cluster of leaves at the top of a tree.
71 * The precondition is that Karel must be facing north at
72 * the top of the tree; the postcondition is that Karel
73 * is still at the top, but on the other side of the
74 * trunk, facing south.
75 */
76 private void addLeaves() {
77 turnRight();
78 createBeeperSquare();
79 move();
80 turnRight();
81 }
82
83 /*
84 * Moves Karel forward until it is blocked by a wall.
85 */
86 private void moveToWall() {
87 while (frontIsClear()) {
88 move();
89 }
90 }
91
92 /*
93 * Creates a square of four beepers, leaving Karel in its
94 * original orientation. The resulting square is positioned
95 * ahead and to the left of Karel's starting position.
96 */
97 private void createBeeperSquare() {
98 for (int i = 0; i < 4; i++) {
99 putBeeper();
100 move();
101 turnLeft();
102 }
103 }
104
105 }
106
107
PS：这个代码里假定只有4棵树，所以Karel的包里有20个方块，如果编辑方块的数量多于20，就会出错，因为Karel不能区别墙和树。
3. 闯迷宫的Karel
无它，右手法则，盲人摸象般，贴着右手的墙走，不通就左转。
代码：
1 public class karelMazeSolver extens SuperKarel {
2 public void run() {
3 while (noBeepersPresent()) {
4 if (rightIsClear()) {
5 turnRight();
6 } else {
7 while (frontIsBlocked()) {
8 turnLeft();
9 }
10 }
11 move();
12 }
13 }
14 }