数据结构——栈

栈的定义：栈(stack)是限定仅在表尾进行插入或者删除的线性表。对于栈来说，表尾端称为栈顶（top），表头端称为栈低（bottom）。不含元素的空表称为空栈。因为栈限定在表尾进行插入或者删除，所以栈又被称为后进先出的线性表（简称LIFO:Last in, First out.结构）。

数据结构——栈

先看老师代码

#include 
#include 

#define STACK_MAX_SIZE 10


typedef struct CharStack {
    int top;

    int data[STACK_MAX_SIZE]; //The maximum length is fixed.
} *CharStackPtr;


void outputStack(CharStackPtr paraStack) {
    for (int i = 0; i <= paraStack->top; i ++) {
        printf("%c ", paraStack->data[i]);
    }// Of for i
    printf("rn");
}// Of outputStack


CharStackPtr charStackInit() {
	CharStackPtr resultPtr = (CharStackPtr)malloc(sizeof(CharStack));
	resultPtr->top = -1;

	return resultPtr;
}//Of charStackInit


void push(CharStackPtr paraStackPtr, int paraValue) {
    // Step 1. Space check.
    if (paraStackPtr->top >= STACK_MAX_SIZE - 1) {
        printf("Cannot push element: stack full.rn");
        return;
    }//Of if

    // Step 2. Update the top.
	paraStackPtr->top ++;

	// Step 3. Push element.
    paraStackPtr->data[paraStackPtr->top] = paraValue;
}// Of push


char pop(CharStackPtr paraStackPtr) {
    // Step 1. Space check.
    if (paraStackPtr->top < 0) {
        printf("Cannot pop element: stack empty.rn");
        return '';
    }//Of if

    // Step 2. Update the top.
	paraStackPtr->top --;

	// Step 3. Push element.
    return paraStackPtr->data[paraStackPtr->top + 1];
}// Of pop


void pushPopTest() {
    printf("---- pushPopTest begins. ----rn");

	// Initialize.
    CharStackPtr tempStack = charStackInit();
    printf("After initialization, the stack is: ");
	outputStack(tempStack);

	// Pop.
	for (char ch = 'a'; ch < 'm'; ch ++) {
		printf("Pushing %c.rn", ch);
		push(tempStack, ch);
		outputStack(tempStack);
	}//Of for i

	// Pop.
	for (int i = 0; i < 3; i ++) {
		ch = pop(tempStack);
		printf("Pop %c.rn", ch);
		outputStack(tempStack);
	}//Of for i

    printf("---- pushPopTest ends. ----rn");
}// Of pushPopTest


void main() {
	pushPopTest();
}// Of main

运行结果为

---- pushPopTest begins. ----
After initialization, the stack is:
Pushing a.
a
Pushing b.
a b
Pushing c.
a b c
Pushing d.
a b c d
Pushing e.
a b c d e
Pushing f.
a b c d e f
Pushing g.
a b c d e f g
Pushing h.
a b c d e f g h
Pushing i.
a b c d e f g h i
Pushing j.
a b c d e f g h i j
Pushing k.
Cannot push element: stack full.
a b c d e f g h i j
Pushing l.
Cannot push element: stack full.
a b c d e f g h i j
Pop j.
a b c d e f g h i
Pop i.
a b c d e f g h
Pop h.
a b c d e f g
---- pushPopTest ends. ----
Press any key to continue

自己写的代码：

1.定义结构体

typedef struct stack {
	int top;
	int data[STAKE_MAX];
}*StackPtr;

2.输出函数

void printStake(StackPtr parastack)
{
	int i;
	for (i = 0; i <= parastack->top; i++)
	{
		printf("%c ", parastack->data[i]);
	}
	printf("rn");
}

3.初始化栈

StackPtr initStake()
{
	StackPtr resultPtr = (StackPtr)malloc(sizeof(struct stack));
	resultPtr->top = -1;

	return resultPtr;
}

4.入栈函数

void push(StackPtr parastackPtr, int e)
{
	if (parastackPtr->top >= STAKE_MAX - 1)
	{
		printf("Cannot push element: stack full.rn");
		return;
	}
	
	parastackPtr->top++;
	parastackPtr->data[parastackPtr->top] = e;
}

5.出栈函数

char  pop(StackPtr parastackPtr)
{
	if (parastackPtr->top < 0)
	{
		printf("Cannot pop element: stack empty.rn");
		return '';
	}

	parastackPtr->top--;

	return parastackPtr->data[parastackPtr->top + 1];

}

6.测试函数

void pushAndpopText()
{
	StackPtr tempStack = initStake();
	printf("The stake is:");
	printStake(tempStack);
	//PUSH
	int i;
	char ch='a';
	for (i = 0; i < 7; i++)
	{
		printf("Push %cn", ch + i);
		push(tempStack, ch+i);
	}
	printStake(tempStack);

	//POP
	for (i = 0; i < 3; i++)
	{
		ch = pop(tempStack);
		printf("POP %crn", ch);
		printStake(tempStack);
	}
	printf("END");
}

完整代码

#include
#include

#define STAKE_MAX 10

typedef struct stack {
	int top;
	int data[STAKE_MAX];
}*StackPtr;

StackPtr initStake()
{
	StackPtr resultPtr = (StackPtr)malloc(sizeof(struct stack));
	resultPtr->top = -1;

	return resultPtr;
}

void printStake(StackPtr parastack)
{
	int i;
	for (i = 0; i <= parastack->top; i++)
	{
		printf("%c ", parastack->data[i]);
	}
	printf("rn");
}

void push(StackPtr parastackPtr, int e)
{
	if (parastackPtr->top >= STAKE_MAX - 1)
	{
		printf("Cannot push element: stack full.rn");
		return;
	}
	
	parastackPtr->top++;
	parastackPtr->data[parastackPtr->top] = e;
}

char  pop(StackPtr parastackPtr)
{
	if (parastackPtr->top < 0)
	{
		printf("Cannot pop element: stack empty.rn");
		return '';
	}

	parastackPtr->top--;

	return parastackPtr->data[parastackPtr->top + 1];

}

void pushAndpopText()
{
	StackPtr tempStack = initStake();
	printf("The stake is:");
	printStake(tempStack);
	//PUSH
	int i;
	char ch='a';
	for (i = 0; i < 7; i++)
	{
		printf("Push %cn", ch + i);
		push(tempStack, ch+i);
	}
	printStake(tempStack);

	//POP
	for (i = 0; i < 3; i++)
	{
		ch = pop(tempStack);
		printf("POP %crn", ch);
		printStake(tempStack);
	}
	printf("END");
}

void main()
{
	pushAndpopText();
}

运行结果

The stake is:
Push a
Push b
Push c
Push d
Push e
Push f
Push g
a b c d e f g
POP g
a b c d e f
POP f
a b c d e
POP e
a b c d
END
C:Users86183sourcerepos栈x64Debug栈.exe (进程 23504)已退出，代码为 0。
按任意键关闭此窗口. . .

总结：栈的特点是先进后出，后进先出，也叫作LIFO表，只能在栈顶添加和删除元素。栈的结构和功能都很简单，可以用数组或链表来实现。虽然看似栈是以前落后的东西，但现在学懂之后对顺序表又有了不一样的理解，将栈运用好对我们学习数据结构也会有不小的帮助

数据结构——栈

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