golang 最短路径实现通过djistra,spfa,递归

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我是靠谱客的博主害怕宝马，这篇文章主要介绍golang 最短路径实现通过djistra,spfa,递归，现在分享给大家，希望可以做个参考。

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:IP707|BD806:IP710|BD711A:S91|BD701:S31|BD515:S25|BD515:S24|BD515:S20|BD515:S21|BD515:BDIP2|BD515:BDIP2|BD515:BD501|BD515:BD501|BD515:BD501|BD515:BD501|BD515:S10|BD515:S11|BD515:BDFR1|BD515:BDFR1|BD514:BDFR1|BD514:BDFR1|BD514:BD512|BD514:BD512|BD516:S149|BD516:S148|BD516:S255|BD516:BD501|BD516:BD501|BD516:BD510|BD516:BD510|BD516:BD511|BD516:BD511|BD516:S14|BD516:S15|BD516:BDFL1|BD516:BDFL1|BD516:BDFL1|BD516:BDFL1|BD109:S258|BD109:S258|BD109:S118|BD109:S119|BD110:BDFB1|BD110:BDFB1|BD110:BDFB1|BD110:BDFB1|BD110:BDFB1|BD110:BDFB1|BD110:BDFB1|BD110:BDFB1|BD723:S107|BD723:S106|BD723:S295|BD723:S295|BD723:S223|BD723:BDFB2|BD723:S223|BD723:S214|BD602:S27|BD602:S30|BD602:S29|BD602:S29|BD602:BDFB3|BD602:S56|BD602:BDIP6|BD602:BDIP6|BD602:BDIP4|BD602:BDIP4|BD602:S33|BD602:BDIP6|BD602:BDFB3|BD602:S264|BD602:BD605|BD602:BD106|BD602:S267|BD602:BDIP6|BD708:IP710|BD708:S94|BD601:S163|BD601:S35|BD601:BDFB2|BD601:S34|BD601:S34|BD601:BDFB1|BD601:BDFB1|BD601:BDFB1|BD601:S162|BD601:BD105|BD601:BDIP6|BD601:S52|BD601:S46|BD601:BDFB1|BD601:BD605|BD601:S31|BD601:S32|BD601:S35|BD601:BD402|BD601:BDIP6|BD601:BD105|BD601:BD105|BD601:BD105|BD601:S137|BD601:S136|BD601:S27|BD601:S27|BD601:S30|BD601:S29|BD601:S29|BD601:S56|BD601:BDFB2|BD601:BDFB2|BD601:BDIP6|BD601:BD105|BD601:BD105|BD601:S32|S75:BD721B|S75:BD721A|S75:BDIP2|S246:BD721A|S246:BD721A|S246:S188|S102:BD721B|S102:BD721B|S102:S188|BD721A:BDFB1|BD721A:BDFB1|BD721B:S130|BD721B:BD606|BD721B:S109|BD721B:S158|BD721B:S120|BD721B:S121|BD721B:S131|BD721B:BD606|BD721B:S108|BD721B:S189|BD721B:S191|BD721B:S167|BD721B:BD606|BD402:BD903C|BD401:BD416|BD401:BD416|BD401:BD417|BD401:BD417|BD401:S117|BD401:BDFB1|BD401:BDFB1|BD401:BDIP1|BD401:BDIP1|BD401:BD904B|BD401:S116|BD401:BDFB1|BD401:BDFB1|BD401:BDIP1|BD401:BDIP1|BD401:BD605|BD301:BDIP6|BD301:BDIP6|BD301:S70|BD301:S69|BD703:S261|BD703:S199|BD703:S198|BD508:S20|BD508:S21|BDRL1B:BDFL1|BDRL1B:BDRR1B|BDRL1B:BD502|BDRL1B:S82|BDRL1B:IP711|BDRL1B:S79|BDRL1B:S78|BDRL1B:IP710|BDRL1B:IP709|BDRL1B:IP708|BDRL1B:S44|BDRL1B:S45|BDRL1B:S103|BDRL1A:S21|BDRL1A:S20|BDRR1B:S82|BDRR1B:IP711|BDRR1B:S79|BDRR1B:S78|BDRR1B:IP711|BDRR1B:IP709|BDRR1B:IP708|BDRR1B:S44|BDRR1B:S45|BDRR1B:BDFR1|BDRR1B:S103|BDRR1B:BD502|BDRR1A:S24|BDRR1A:S25|BDRR1A:S233|IP711:BDIP2|IP711:BDFL1|IP711:BDFB4|IP711:BDFL1|IP711:BD710|IP711:BDFL1|IP711:BDFL1|IP711:BDIP2|IP711:BDFL1|IP711:BDFR1|IP711:BDFB4|IP711:BDFL1|IP711:S49|IP711:S82|IP711:BDIP1|IP711:BDFR1|IP711:BDIP6|IP711:BDIP1|IP711:BDIP1|IP711:BDFB4|IP711:BDFR1|IP711:BD710|IP711:BDFR1|IP711:BDFL1|IP711:BDIP2|IP711:BDFL1|IP711:BDFR1|IP711:BD903B|IP711:BDFL1|IP711:BD716|IP710:BDFL1|IP710:BDFL1|IP710:BDFR1|IP710:BDFR1|IP710:BDFL1|IP710:BDFR1|IP710:S101|IP710:BD716|IP710:S78|IP710:BDFL1|IP710:BDFL1|IP710:BDFL1|IP710:BDIP1|IP710:BDIP1|IP710:S79|IP710:BD716|IP710:BDIP3|IP709:BDFB4|IP709:BDIP1|IP709:BDFB4|IP709:BDFB4|IP709:BDIP1|IP709:BD716|IP709:BDFB4|IP709:BDIP1|IP709:BDFR1|IP709:BDFB4|IP709:S255|IP709:BDIP1|IP709:BDIP3|IP709:BDIP1|IP709:BDFL1|IP709:BDIP1|IP709:BDIP1|IP709:BDFL1|IP709:S218|IP709:S33|IP709:S217|IP709:BDIP1|BD903C:S294|BD903B:S79|BD904B:S224|BD904A:S224|BD904A:BDFB1|BD706A:BD706|BD706A:BD706|BD706A:BD706|BD706A:BD706|BD719:S123|BD719:BDFB2|BD719:BDFB2|BD719:BDFB2|BD719:S266|BD719:S306|BD719:S122|BD505:BD721|BD505:BD721|BD505:BD721|BD505:BD721|BD504:BD506|BD504:S161|BD504:S160|BD504:S250|BD504:S235|BDIP2:S15|BDIP2:S13|BDIP2:S188|BDIP2:BD724|BDIP2:S82|BDIP2:S255|BDIP2:S225|BDIP2:S183|BDIP2:S14|BDIP2:S184|BDIP2:S12|BDIP3:BD706|BDIP3:BD721|BDIP3:BD721|BDIP3:BD706|BDIP3:S198|BDIP3:S199|BDIP3:BD720|BDIP3:BD720|BDIP3:BD721|BDIP3:BD721|BDIP3:BD721|BD718:S96|BD718:S94|BD715:S92|BD715:S90|BD717:S94|BD717:S96|BD702:S199|BD702:S198|BD702:S261|BD606:S121|BD606:S120|BD606:S130|BD606:S131|BD605:S267|BD716:S94|BD716:S225|BD716:S82|BD506:BD502|BD506:BD502|BD506:BD502|BD705:S78|BD705:S251|BDIP1:S222|BDIP1:IP707|BDIP1:IP706|BDIP1:IP706|BDIP1:IP708|BDIP1:IP708|BDIP1:IP708|BDIP1:IP708|BD106:S266|BD106:S33|S36:S267|S225:IP706|S15:BDFL1|S14:BDFL1|S49:BDFL1|S49:BDFR1|S44:BDFL1|S44:BDFR1|S44:IP708|S122:S116|S122:S124|S123:S117|S123:S125|S303:S135|S303:S163|S302:BD202|S302:S162|S116:S148|S117:S149|S45:BDFL1|S45:BDFR1|S45:IP708|S219:S52|S219:S159|S220:S46|S220:S166|S130:BDFB1|S130:BDIP4|S131:BDFB1|S131:BDIP4|S96:IP706|S207:S209|S206:S208|S177:S61|S305:S46|S304:S52|S3:BD204|S3:BD204|S3:S61|S4:BD204|S4:BD204|S2:BDFB1|S265:BD204|S114:S106|S114:S112|S94:S222|S214:BDFB3|S148:S119|S149:S118|S118:S106|S119:S107|S13:BD501|S13:BDFL1|S12:BD501|S12:BDFL1|S309:BDFL1|S309:BDFR1|S309:IP707|S310:BDFL1|S310:BDFR1|S310:IP707|S222:IP707|S312:IP707|S312:BDFB3|S312:BDFL1|S82:BDFL1|S82:BDFR1|S80:BDFL1|S80:BDFR1|S80:IP708|S78:BDFL1|S78:BDFR1|S79:BDFL1|S79:BDFR1|S124:S217|S125:S218|S21:BD501|S20:BD501|S209:BDFB2|S208:BDFB2|S89:IP707|S142:BDFB1|S143:BDFB1|S113:S111|S112:S110|S53:BDFL1|S53:BDFR1|S306:BD724|S306:BDFB1|S31:BDFB2|S32:BDFB2|S34:BDFB2|S35:BDFB3|S33:BDFB3|S111:S108|S111:BD724|S110:S109|S110:BD724|S25:BD501|S25:BD509|S24:BD501|S24:BD509|S108:BDFB2|S109:BDFB2|S70:BD302|S70:BDIP4|S69:BD302|S69:BDIP4|S186:S184|S186:BDFB1|S185:S183|S185:BDFB1|S166:S158|S159:S167|S182:BDFB1|S181:BDFB1|S17:BD501|S17:BDIP4|S17:BDFR1|S16:BD501|S16:BDFR1|S16:BDIP4|S233:BDFB1|S233:BDFR1|S11:BDFR1|S11:BDIP4|S10:BDFR1|S10:BDIP4|S221:BDFR1|S221:IP707|S221:BDFB3|S191:BDFB3|S189:BDFB3|S135:BD720|S135:BDIP6|S103:BD502|S103:BDFR1|S160:S144|S160:BDIP4|S161:S147|S161:BDIP4|S158:BDFB3|S167:BDFB3|S235:BDFB1|S144:BD502|S144:S138|S250:BD720|S250:BD706|S250:BD501|S147:BD502|S147:S140|S140:BD706|S140:BD720|S138:BD706|S138:BD720|BD706:BDFB4|IP708:BDFB4|IP708:BDFB4|IP708:BDFB4|IP707:BDFB4|IP707:BDFB3|IP707:BDFB4|IP707:BDFB3|IP707:BDFB4|IP707:BDFB4|BD724:BDFR1|BD302:BDIP4|BD302:BDIP4|BD302:BDIP4|BDFR1:BD502|IP706:BDFB3|IP706:BDFB3|BD503:BD721|BD503:BD721|BD707:BD721|BD707:BD721|BD720:BDFB2|BD720:BDFB2|BD720:BDFB3|BD720:BDFB3|BD720:BDIP4|BD720:BDIP4|BD720:BDIP6|BDFB1:BD501|BDFB1:BD501|BDFB2:BDIP4|BDFB2:BDIP4

给定的测试数据如下，图和起始点通过;号隔开，起始点通过 | 隔开：

处理函数如下：

复制代码

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func parseBody(body string) (string,string){
	params := strings.Split(body, ";")
	graphInfo := params[0]
	evaluateInfo := params[1]
	return graphInfo,evaluateInfo
}

处理函数如下将图解析进入:

复制代码

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type Graphs map[string]map[string]map[string]float64

func (g *Graphs) getChildByKey(key string) map[string]float64 {
	return (*g)["graph"][key]
}

func (g *Graphs) getLengthByKeys(key1, key2 string) float64 {
	return (*g)["graph"][key1][key2]
}


//解析json
func  parseGraph(graphStr string) (Graphs, error) {
	graphMap := make(Graphs)
	err := json.Unmarshal([]byte(graphStr), &graphMap)
	if err != nil {
		fmt.Println(err)
		return graphMap, err
	}
	if _, ok := graphMap["graph"]; !ok {
		return graphMap, errors.New("请传入graph")
	}
	return graphMap, nil
}

将 map 转换为邻接矩阵（此处处理的不是很好，暂时先用的）:

复制代码

func  mapToSlice(graphMap Graphs) ([][]float64, map[string]int, map[int]string, error) {
	var vertex [][]float64
	//顶点对应的下标
	Key2Index := make(map[string]int)
	//下标对应的顶点
	Index2Key := make(map[int]string)

for k, v := range graphMap["graph"] {
		Key2Index[k] = 0
		for k1 := range v {
			Key2Index[k1] = 0
		}
	}
	i := 0
	//每个节点映射一个下标，由于map的乱序性每次给同样的key给的下标都不一样
	keys := make([]string, 0)
	for k := range Key2Index {
		keys = append(keys, k)
	}
	sort.Strings(keys)
	for _, v := range keys {
		Key2Index[v] = i
		Index2Key[i] = v
		i++
	}
	//初始化分配二维数组
	for i := 0; i < len(Key2Index); i++ {
		tmp := make([]float64, len(Key2Index))
		vertex = append(vertex, tmp)
	}
	//给每个点赋值无穷大
	for i := 0; i < len(Key2Index); i++ {
		for j := 0; j < len(Key2Index); j++ {
			vertex[i][j] = math.MaxFloat64
		}

}
	for k, v := range graphMap["graph"] {
		for k1, v := range v {
			vertex[Key2Index[k]][Key2Index[k1]] = v
			vertex[Key2Index[k1]][Key2Index[k]] = v
		}

}
	return vertex, Key2Index, Index2Key, nil
}

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func  mapToSlice(graphMap Graphs) ([][]float64, map[string]int, map[int]string, error) {
	var vertex [][]float64
	//顶点对应的下标
	Key2Index := make(map[string]int)
	//下标对应的顶点
	Index2Key := make(map[int]string)

	for k, v := range graphMap["graph"] {
		Key2Index[k] = 0
		for k1 := range v {
			Key2Index[k1] = 0
		}
	}
	i := 0
	//每个节点映射一个下标，由于map的乱序性每次给同样的key给的下标都不一样
	keys := make([]string, 0)
	for k := range Key2Index {
		keys = append(keys, k)
	}
	sort.Strings(keys)
	for _, v := range keys {
		Key2Index[v] = i
		Index2Key[i] = v
		i++
	}
	//初始化分配二维数组
	for i := 0; i < len(Key2Index); i++ {
		tmp := make([]float64, len(Key2Index))
		vertex = append(vertex, tmp)
	}
	//给每个点赋值无穷大
	for i := 0; i < len(Key2Index); i++ {
		for j := 0; j < len(Key2Index); j++ {
			vertex[i][j] = math.MaxFloat64
		}

	}
	for k, v := range graphMap["graph"] {
		for k1, v := range v {
			vertex[Key2Index[k]][Key2Index[k1]] = v
			vertex[Key2Index[k1]][Key2Index[k]] = v
		}

	}
	return vertex, Key2Index, Index2Key, nil
}

狄杰斯特拉算法：

复制代码

type Dis struct {
	Path    string
	Length  float64
	Visited bool
}

var dis = []Dis{}
var datas = []string{} //此处由于需要并发处理声明了全局变量并且加了锁

//起点，终点，矩阵，矩阵中索引与json中key的对应
func getShortPathByDijkstra(startNode, endNode int,
	vertex [][]float64, Index2Key map[int]string) {

var TablePathMin float64 //存放dis中,未遍历的最小结点的值
	defer wg.Done()
	//记录结点是否已经找到v0到vx的最小路径
	dis = make([]Dis, len(vertex))
	 获取v0这一行的权值数组
	for i := 0; i < len(vertex); i++ {
		dis[i].Length = vertex[startNode][i]
		dis[i].Path = Index2Key[startNode] + "->" + Index2Key[i]
	}
	dis[startNode].Length = 0
	dis[startNode].Visited = true
	for v := 1; v < len(vertex); v++ {
		TablePathMin = math.MaxFloat64
		//找出dis中,未遍历的最小结点的值
		Vx := 0 //存放dis中,未遍历的最小结点的下标
		for w := 0; w < len(vertex); w++ {
			if !dis[w].Visited && dis[w].Length < TablePathMin {
				Vx = w
				TablePathMin = dis[w].Length
			}
		}
		dis[Vx].Visited = true
		for j := 0; j < len(vertex); j++ {
			if !dis[j].Visited && dis[Vx].Length+vertex[Vx][j] < dis[j].Length {
				dis[j].Length = dis[Vx].Length + vertex[Vx][j
				dis[j].Path = dis[Vx].Path + "->" + Index2Key[j]

}
		}
	}

path := c.getDijstraCadPath(dis[endNode], Index2Key[startNode], Index2Key[endNode])
	datas = append(datas, path)
}

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type Dis struct {
	Path    string
	Length  float64
	Visited bool
}

var dis = []Dis{}
var datas = []string{} //此处由于需要并发处理声明了全局变量并且加了锁

//起点，终点，矩阵，矩阵中索引与json中key的对应
func getShortPathByDijkstra(startNode, endNode int,
	vertex [][]float64, Index2Key map[int]string) {

	var TablePathMin float64 //存放dis中,未遍历的最小结点的值
	defer wg.Done()
	//记录结点是否已经找到v0到vx的最小路径
	dis = make([]Dis, len(vertex))
	 获取v0这一行的权值数组
	for i := 0; i < len(vertex); i++ {
		dis[i].Length = vertex[startNode][i]
		dis[i].Path = Index2Key[startNode] + "->" + Index2Key[i]
	}
	dis[startNode].Length = 0
	dis[startNode].Visited = true
	for v := 1; v < len(vertex); v++ {
		TablePathMin = math.MaxFloat64
		//找出dis中,未遍历的最小结点的值
		Vx := 0 //存放dis中,未遍历的最小结点的下标
		for w := 0; w < len(vertex); w++ {
			if !dis[w].Visited && dis[w].Length < TablePathMin {
				Vx = w
				TablePathMin = dis[w].Length
			}
		}
		dis[Vx].Visited = true
		for j := 0; j < len(vertex); j++ {
			if !dis[j].Visited && dis[Vx].Length+vertex[Vx][j] < dis[j].Length {
				dis[j].Length = dis[Vx].Length + vertex[Vx][j
				dis[j].Path = dis[Vx].Path + "->" + Index2Key[j]

			}
		}
	}

	path := c.getDijstraCadPath(dis[endNode], Index2Key[startNode], Index2Key[endNode])
	datas = append(datas, path)
}

SPFA:

复制代码

type Path struct {
	StartNode string
	EndNode   string
	Path      string
	Value     float64
}
//s起点索引 e终点索引 n矩阵长度 vert矩阵 Index2Key矩阵中索引对应json中的key
func  SPFA(s, e, n int, p *Path, Vert [][]float64, Index2Key map[int]string) []float64 {

dis := make([]float64, n) //
	vis := make([]bool, n)
	num := make([]int, n)
	path := make([]int, n)
	disMap := make(map[string]float64)
	q := queue.New()
	for i := 0; i < n; i++ {
		dis[i] = math.MaxFloat64
	}
	dis[s] = 0
	vis[s] = true
	num[s] = 1
	q.Add(s)
	p.StartNode = Index2Key[s]
	p.EndNode = Index2Key[e]
	for q.Length() != 0 {
		a := q.Get(0)
		u := a.(int)

q.Remove()
		vis[u] = false
		for v := 0; v < n; v++ {
			if dis[v] > dis[u]+Vert[u][v] {
				dis[v] = dis[u] + Vert[u][v]
				disMap[Index2Key[v]] = dis[u] + Vert[u][v]
				path[v] = u
				if !vis[v] {
					q.Add(v)
					vis[v] = true
					num[v]++
					if num[v] >= n {
						goto no
					}
				}
			}
		}

}
	//以上是spfa的主要算法内容以下为业务操作内容
	fmt.Println("开始路径封装")
	goto ok
no:

p.Path = "存在负权回路"
	p.Value = math.MaxFloat64
	fmt.Println("结束路径封装", p.Path)
	return dis
ok:
	buf := bytes.Buffer{}
	tmpE := e
	buf.WriteString(Index2Key[tmpE])
	for s != tmpE {
		prv := path[tmpE]
		buf.WriteString("<-" + Index2Key[prv])
		if prv == tmpE {
			break
		}
		tmpE = prv
	}
	p.Path = c.reversePath(buf.String())
	p.Value = disMap[Index2Key[e]]
	fmt.Println("结束路径封装", p.Path)
	return dis
}

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type Path struct {
	StartNode string
	EndNode   string
	Path      string
	Value     float64
}
//s起点索引 e终点索引 n矩阵长度 vert矩阵 Index2Key矩阵中索引对应json中的key
func  SPFA(s, e, n int, p *Path, Vert [][]float64, Index2Key map[int]string) []float64 {

	dis := make([]float64, n) //
	vis := make([]bool, n)
	num := make([]int, n)
	path := make([]int, n)
	disMap := make(map[string]float64)
	q := queue.New()
	for i := 0; i < n; i++ {
		dis[i] = math.MaxFloat64
	}
	dis[s] = 0
	vis[s] = true
	num[s] = 1
	q.Add(s)
	p.StartNode = Index2Key[s]
	p.EndNode = Index2Key[e]
	for q.Length() != 0 {
		a := q.Get(0)
		u := a.(int)

		q.Remove()
		vis[u] = false
		for v := 0; v < n; v++ {
			if dis[v] > dis[u]+Vert[u][v] {
				dis[v] = dis[u] + Vert[u][v]
				disMap[Index2Key[v]] = dis[u] + Vert[u][v]
				path[v] = u
				if !vis[v] {
					q.Add(v)
					vis[v] = true
					num[v]++
					if num[v] >= n {
						goto no
					}
				}
			}
		}

	}
	//以上是spfa的主要算法内容以下为业务操作内容
	fmt.Println("开始路径封装")
	goto ok
no:

	p.Path = "存在负权回路"
	p.Value = math.MaxFloat64
	fmt.Println("结束路径封装", p.Path)
	return dis
ok:
	buf := bytes.Buffer{}
	tmpE := e
	buf.WriteString(Index2Key[tmpE])
	for s != tmpE {
		prv := path[tmpE]
		buf.WriteString("<-" + Index2Key[prv])
		if prv == tmpE {
			break
		}
		tmpE = prv
	}
	p.Path = c.reversePath(buf.String())
	p.Value = disMap[Index2Key[e]]
	fmt.Println("结束路径封装", p.Path)
	return dis
}

复制代码

//起点，终点，路径字符串(用来拼接路径) ,传入一个paths map用来记录所有的路径及其长度最终递归执行完，遍历此map即可
func  getAllPath(startNode, endNode, path string,
	graph Graphs, paths map[string]float64, length float64) (string, float64) {
	NextNodesMap := graph.getChildByKey(startNode)
	if startNode == endNode || len(NextNodesMap) == 0 {
		return path, length
	}

curPath := path
	curLength := length
	for key := range NextNodesMap {
		//判断key在中间，在开头，在结尾
		if checkNodeIsPath(path, key) {
			continue
		}
		//获取到当前节点的路径
		addKey(&path, key)
		//计算到当前节点的距离
		calculatePath(≤ngth, startNode, key, graph)
		lastPath, lastLength := getAllPath(key, endNode, path, graph, paths, length)
		//当遍历完当前节点的路径后重置path,length为当前path,length
		path = curPath
		length = curLength
		if strings.Contains(lastPath, startNode) && strings.Contains(lastPath, endNode){
			paths[lastPath] = lastLength
		}

}
	return curPath, curLength
}

func  addKey(s *string, key string) {
	var build strings.Builder
	build.WriteString(*s)
	build.WriteString("->")
	build.WriteString(key)
	*s = build.String()
}

func calculatePath(length *float64, preNode, curNode string, graph Graphs) {
	*length += graph.getLengthByKeys(preNode, curNode)
}

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//起点，终点，路径字符串(用来拼接路径) ,传入一个paths map用来记录所有的路径及其长度最终递归执行完，遍历此map即可
func  getAllPath(startNode, endNode, path string,
	graph Graphs, paths map[string]float64, length float64) (string, float64) {
	NextNodesMap := graph.getChildByKey(startNode)
	if startNode == endNode || len(NextNodesMap) == 0 {
		return path, length
	}

	curPath := path
	curLength := length
	for key := range NextNodesMap {
		//判断key在中间，在开头，在结尾
		if checkNodeIsPath(path, key) {
			continue
		}
		//获取到当前节点的路径
		addKey(&path, key)
		//计算到当前节点的距离
		calculatePath(≤ngth, startNode, key, graph)
		lastPath, lastLength := getAllPath(key, endNode, path, graph, paths, length)
		//当遍历完当前节点的路径后重置path,length为当前path,length
		path = curPath
		length = curLength
		if strings.Contains(lastPath, startNode) && strings.Contains(lastPath, endNode){
			paths[lastPath] = lastLength
		}

	}
	return curPath, curLength
}


func  addKey(s *string, key string) {
	var build strings.Builder
	build.WriteString(*s)
	build.WriteString("->")
	build.WriteString(key)
	*s = build.String()
}

func calculatePath(length *float64, preNode, curNode string, graph Graphs) {
	*length += graph.getLengthByKeys(preNode, curNode)
}

递归全遍历：

全部代码：

复制代码

/**
 * @Author: xiaoxiao
 * @Description:
 * @File:  CaclService
 * @Version: 1.0.0
 * @Date: 4/11/20 8:06 下午
 */
package service

import (
	"bytes"
	"encoding/json"
	"errors"
	"fmt"
	"github.com/spf13/cast"
	"github.com/xhaoxiong/util/cad"
	"gopkg.in/eapache/queue.v1"
	"math"
	"sort"
	"strings"
	"sync"
)

type CacService struct{}

func NewCacService() *CacService {
	return &CacService{}
}

/*Dijkstra使用*/
type Dis struct {
	Path    string
	Length  float64
	Visited bool
}

var dis = []Dis{}

type Graphs map[string]map[string]map[string]float64

var datas = []string{}
var mutex sync.Mutex

/*SPFA使用*/
type Path struct {
	StartNode string
	EndNode   string
	Path      string
	Value     float64
}

func (g *Graphs) getChildByKey(key string) map[string]float64 {
	return (*g)["graph"][key]
}

func (g *Graphs) getLengthByKeys(key1, key2 string) float64 {
	return (*g)["graph"][key1][key2]
}

/**
Dijkstra算法求解
*/
func (c *CacService) GetAllPathsByDijkstra(KVs string, graph string) string {
	parseGraph, _ := c.parseGraph(graph)
	vertex, m, m2, _ := c.mapToSlice(parseGraph)
	kvs := strings.Split(KVs, "|")
	wg := &sync.WaitGroup{}
	datas = make([]string, len(kvs))
	for _, KV := range kvs {
		kv := strings.Split(KV, ":")
		startNode, endNode := kv[0], kv[1]
		wg.Add(1)
		c.getShortPathByDijkstra(wg, m[startNode], m[endNode], vertex, m2)
	}
	wg.Wait()
	return cad.GetCADSlice2Str(datas...)
}

func (c *CacService) parseGraph(graphStr string) (Graphs, error) {
	graphMap := make(Graphs)
	err := json.Unmarshal([]byte(graphStr), &graphMap)
	if err != nil {
		fmt.Println(err)
		return graphMap, err
	}
	if _, ok := graphMap["graph"]; !ok {
		return graphMap, errors.New("请传入graph")
	}
	return graphMap, nil
}

func (c *CacService) mapToSlice(graphMap Graphs) ([][]float64, map[string]int, map[int]string, error) {
	var vertex [][]float64
	//顶点对应的下标
	Key2Index := make(map[string]int)
	//下标对应的顶点
	Index2Key := make(map[int]string)

}
	for k, v := range graphMap["graph"] {
		for k1, v := range v {
			vertex[Key2Index[k]][Key2Index[k1]] = v
			vertex[Key2Index[k1]][Key2Index[k]] = v
		}

}
	return vertex, Key2Index, Index2Key, nil
}

func (c *CacService) getShortPathByDijkstra(wg *sync.WaitGroup, startNode, endNode int,
	vertex [][]float64, Index2Key map[int]string) {

var TablePathMin float64 //存放dis中,未遍历的最小结点的值
	defer wg.Done()
	//记录结点是否已经找到v0到vx的最小路径
	dis = make([]Dis, len(vertex))
	 获取v0这一行的权值数组
	for i := 0; i < len(vertex); i++ {
		dis[i].Length = vertex[startNode][i]
		dis[i].Path = Index2Key[startNode] + "->" + Index2Key[i]
	}
	dis[startNode].Length = 0
	dis[startNode].Visited = true
	for v := 1; v < len(vertex); v++ {
		TablePathMin = math.MaxFloat64
		//找出dis中,未遍历的最小结点的值
		Vx := 0 //存放dis中,未遍历的最小结点的下标
		for w := 0; w < len(vertex); w++ {
			if !dis[w].Visited && dis[w].Length < TablePathMin {
				Vx = w
				TablePathMin = dis[w].Length
			}
		}
		dis[Vx].Visited = true
		for j := 0; j < len(vertex); j++ {
			if !dis[j].Visited && dis[Vx].Length+vertex[Vx][j] < dis[j].Length {
				dis[j].Length = dis[Vx].Length + vertex[Vx][j]
				//end := j + 1
				//if j == len(vertex)-1 {
				//	end = j
				//}
				dis[j].Path = dis[Vx].Path + "->" + Index2Key[j]

}
		}
	}

path := c.getDijstraCadPath(dis[endNode], Index2Key[startNode], Index2Key[endNode])
	datas = append(datas, path)
	mutex.Unlock()
}

func (c *CacService) getDijstraCadPath(dis Dis,
	startNode, endNode string) string {
	if dis.Length == math.MaxFloat64 {
		minPath := cad.GetCADObject(cad.GetCADString("起点", startNode),
			cad.GetCADString("终点", endNode),
			cad.GetCADSpaceString("路径", getCADNoPath(startNode, endNode, "路径不通")),
			cad.GetCADString("长度", "0"))
		return minPath
	} else {
		minPath := cad.GetCADObject(cad.GetCADString("起点", startNode),
			cad.GetCADString("终点", endNode),
			cad.GetCADSpaceString("路径", getCADPath(dis.Path)),
			cad.GetCADString("长度", cast.ToString(dis.Length)),
		)
		return minPath
	}

}

/**
递归算法全路径遍历，然后找到最短的路径
*/

func (c *CacService) GetAllPathsByRecursive(KVs string, graph string) string {
	parseGraph, _ := c.parseGraph(graph)
	kvs := strings.Split(KVs, "|")
	wg := &sync.WaitGroup{}
	datas = make([]string, len(kvs))
	for _, KV := range kvs {
		kv := strings.Split(KV, ":")
		startNode, endNode := kv[0], kv[1]
		wg.Add(1)
		path, paths, length := startNode, make(map[string]float64), 0
		go func(wg *sync.WaitGroup, startNode, endNode, path string,
			graph Graphs, paths map[string]float64, length float64) {
			c.getMinPath(wg, startNode, endNode, path, graph, paths, length)
		}(wg, startNode, endNode, path, parseGraph, paths, float64(length))
	}
	wg.Wait()
	return cad.GetCADObject(datas...)
}

func (c *CacService) getAllPath(startNode, endNode, path string,
	graph Graphs, paths map[string]float64, length float64) (string, float64) {
	NextNodesMap := graph.getChildByKey(startNode)
	if startNode == endNode || len(NextNodesMap) == 0 {
		return path, length
	}

curPath := path
	curLength := length
	for key := range NextNodesMap {
		//判断key在中间，在开头，在结尾
		if c.checkNodeIsPath(path, key) {
			continue
		}
		//获取到当前节点的路径
		c.addKey(&path, key)
		//计算到当前节点的距离
		c.calculatePath(≤ngth, startNode, key, graph)
		lastPath, lastLength := c.getAllPath(key, endNode, path, graph, paths, length)
		//当遍历完当前节点的路径后重置path,length为当前path,length
		path = curPath
		length = curLength
		if strings.Contains(lastPath, startNode) && strings.Contains(lastPath, endNode) {
			paths[lastPath] = lastLength
		}

}
	return curPath, curLength
}

func (c *CacService) checkNodeIsPath(path, node string) bool {
	ps := strings.Split(path, "->")
	m := make(map[string]bool)
	for i := range ps {
		m[ps[i]] = true
	}
	return m[node]
}

func (c *CacService) addKey(s *string, key string) {
	var build strings.Builder
	build.WriteString(*s)
	build.WriteString("->")
	build.WriteString(key)
	*s = build.String()
}

func (c *CacService) calculatePath(length *float64, preNode, curNode string, graph Graphs) {
	*length += graph.getLengthByKeys(preNode, curNode)
}

func (c *CacService) getMinPath(wg *sync.WaitGroup, startNode, endNode, path string,
	graph Graphs, paths map[string]float64, length float64) {
	defer wg.Done()

c.getAllPath(startNode, endNode, path, graph, paths, length)
	//正常应该有多条最短路径，需求仅仅只需要返回一条
	minPaths := c.getShortPaths(paths, startNode, endNode)
	mutex.Lock()
	datas = append(datas, minPaths)
	mutex.Unlock()
}

func (c *CacService) getShortPaths(paths map[string]float64, startNode, endNode string) string {
	minLen := float64(0)
	minK := ""
	for k, v := range paths {
		if minLen == 0 {
			minLen = v
			minK = k
		}
		if minLen != 0 && v < minLen {
			minLen = v
			minK = k
		}
	}
	//这是存在最短路径
	if len(paths) > 0 {
		minPath := cad.GetCADObject(cad.GetCADString("起点", startNode),
			cad.GetCADString("终点", endNode),
			cad.GetCADSpaceString("路径", getCADPath(minK)),
			cad.GetCADString("长度", cast.ToString(minLen)),
		)
		return minPath
	} else {
		minPath := cad.GetCADObject(cad.GetCADString("起点", startNode),
			cad.GetCADString("终点", endNode),
			cad.GetCADSpaceString("路径", getCADNoPath(startNode, endNode, "路径不通")),
			cad.GetCADString("长度", cast.ToString(minLen)), )
		return minPath
	}

}

/**
SPFA算法
*/

func (c *CacService) GetAllPathBySPFA(KVs string, graph string) string {
	splits := strings.Split(KVs, "|")
	parseGraph, _ := c.parseGraph(graph)
	vert, Key2Index, Index2Key, _ := c.mapToSlice(parseGraph)
	Paths := make([]*Path, 0)
	for v := range splits {
		k := strings.Split(splits[v], ":")
		startNode := Key2Index[k[0]]
		endNode := Key2Index[k[1]]
		path := &Path{}
		c.SPFA(startNode, endNode, len(vert), path, vert, Index2Key)
		Paths = append(Paths, path)
	}
	datas := make([]string, 0)
	for _, p := range Paths {
		datas = append(datas, c.getSPFACADPath(p))
	}

return cad.GetCADSlice2Str(datas...)
}

func (c *CacService) SPFA(s, e, n int, p *Path, Vert [][]float64, Index2Key map[int]string) []float64 {

}
	//以上是spfa的主要算法内容以下为业务操作内容
	fmt.Println("开始路径封装")
	goto ok
no:

func (c *CacService) reversePath(path string) string {
	buf := bytes.Buffer{}
	pathSlice := strings.Split(path, "<-")
	for i, j := 0, len(pathSlice)-1; i < j; i, j = i+1, j-1 {
		pathSlice[i], pathSlice[j] = pathSlice[j], pathSlice[i]
	}
	node := ""
	for i := 0; i < len(pathSlice); i++ {
		if i != len(pathSlice)-1 {
			node = pathSlice[i] + "->"
		} else {
			node = pathSlice[i]
		}
		buf.WriteString(node)
	}
	return buf.String()
}

func (c *CacService) getSPFACADPath(p *Path) string {
	if p.Value == math.MaxFloat64 {
		minPath := cad.GetCADObject(cad.GetCADString("起点", p.StartNode),
			cad.GetCADString("终点", p.EndNode),
			cad.GetCADSpaceString("路径", getCADNoPath(p.StartNode, p.EndNode, p.Path)),
			cad.GetCADString("长度", "0"))
		return minPath
	} else {
		minPath := cad.GetCADObject(cad.GetCADString("起点", p.StartNode),
			cad.GetCADString("终点", p.EndNode),
			cad.GetCADSpaceString("路径", getCADPath(p.Path)),
			cad.GetCADString("长度", cast.ToString(p.Value)),
		)
		return minPath
	}
}

func getCADPath(path string) string {
	var build strings.Builder
	nodes := strings.Split(path, "->")
	for index, v := range nodes {
		build.WriteString(`"`)
		build.WriteString(v)
		if index == len(nodes)-1 {
			build.WriteString(`"`)
		} else {
			build.WriteString(`" `)
		}

}
	return build.String()
}

func getCADNoPath(startNode, endNode, path string) string {
	var build strings.Builder
	build.WriteString(` "`)
	build.WriteString(startNode)
	build.WriteString(`"`)

build.WriteString(` "`)
	build.WriteString(path)
	build.WriteString(`"`)

build.WriteString(` "`)
	build.WriteString(endNode)
	build.WriteString(`"`)

return build.String()
}

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/**
 * @Author: xiaoxiao
 * @Description:
 * @File:  CaclService
 * @Version: 1.0.0
 * @Date: 4/11/20 8:06 下午
 */
package service

import (
	"bytes"
	"encoding/json"
	"errors"
	"fmt"
	"github.com/spf13/cast"
	"github.com/xhaoxiong/util/cad"
	"gopkg.in/eapache/queue.v1"
	"math"
	"sort"
	"strings"
	"sync"
)

type CacService struct{}

func NewCacService() *CacService {
	return &CacService{}
}

/*Dijkstra使用*/
type Dis struct {
	Path    string
	Length  float64
	Visited bool
}

var dis = []Dis{}

type Graphs map[string]map[string]map[string]float64

var datas = []string{}
var mutex sync.Mutex

/*SPFA使用*/
type Path struct {
	StartNode string
	EndNode   string
	Path      string
	Value     float64
}

func (g *Graphs) getChildByKey(key string) map[string]float64 {
	return (*g)["graph"][key]
}

func (g *Graphs) getLengthByKeys(key1, key2 string) float64 {
	return (*g)["graph"][key1][key2]
}

/**
Dijkstra算法求解
*/
func (c *CacService) GetAllPathsByDijkstra(KVs string, graph string) string {
	parseGraph, _ := c.parseGraph(graph)
	vertex, m, m2, _ := c.mapToSlice(parseGraph)
	kvs := strings.Split(KVs, "|")
	wg := &sync.WaitGroup{}
	datas = make([]string, len(kvs))
	for _, KV := range kvs {
		kv := strings.Split(KV, ":")
		startNode, endNode := kv[0], kv[1]
		wg.Add(1)
		c.getShortPathByDijkstra(wg, m[startNode], m[endNode], vertex, m2)
	}
	wg.Wait()
	return cad.GetCADSlice2Str(datas...)
}

func (c *CacService) parseGraph(graphStr string) (Graphs, error) {
	graphMap := make(Graphs)
	err := json.Unmarshal([]byte(graphStr), &graphMap)
	if err != nil {
		fmt.Println(err)
		return graphMap, err
	}
	if _, ok := graphMap["graph"]; !ok {
		return graphMap, errors.New("请传入graph")
	}
	return graphMap, nil
}

func (c *CacService) mapToSlice(graphMap Graphs) ([][]float64, map[string]int, map[int]string, error) {
	var vertex [][]float64
	//顶点对应的下标
	Key2Index := make(map[string]int)
	//下标对应的顶点
	Index2Key := make(map[int]string)

	for k, v := range graphMap["graph"] {
		Key2Index[k] = 0
		for k1 := range v {
			Key2Index[k1] = 0
		}
	}
	i := 0
	//每个节点映射一个下标，由于map的乱序性每次给同样的key给的下标都不一样
	keys := make([]string, 0)
	for k := range Key2Index {
		keys = append(keys, k)
	}
	sort.Strings(keys)
	for _, v := range keys {
		Key2Index[v] = i
		Index2Key[i] = v
		i++
	}
	//初始化分配二维数组
	for i := 0; i < len(Key2Index); i++ {
		tmp := make([]float64, len(Key2Index))
		vertex = append(vertex, tmp)
	}
	//给每个点赋值无穷大
	for i := 0; i < len(Key2Index); i++ {
		for j := 0; j < len(Key2Index); j++ {
			vertex[i][j] = math.MaxFloat64
		}

	}
	for k, v := range graphMap["graph"] {
		for k1, v := range v {
			vertex[Key2Index[k]][Key2Index[k1]] = v
			vertex[Key2Index[k1]][Key2Index[k]] = v
		}

	}
	return vertex, Key2Index, Index2Key, nil
}

func (c *CacService) getShortPathByDijkstra(wg *sync.WaitGroup, startNode, endNode int,
	vertex [][]float64, Index2Key map[int]string) {

	var TablePathMin float64 //存放dis中,未遍历的最小结点的值
	defer wg.Done()
	//记录结点是否已经找到v0到vx的最小路径
	dis = make([]Dis, len(vertex))
	 获取v0这一行的权值数组
	for i := 0; i < len(vertex); i++ {
		dis[i].Length = vertex[startNode][i]
		dis[i].Path = Index2Key[startNode] + "->" + Index2Key[i]
	}
	dis[startNode].Length = 0
	dis[startNode].Visited = true
	for v := 1; v < len(vertex); v++ {
		TablePathMin = math.MaxFloat64
		//找出dis中,未遍历的最小结点的值
		Vx := 0 //存放dis中,未遍历的最小结点的下标
		for w := 0; w < len(vertex); w++ {
			if !dis[w].Visited && dis[w].Length < TablePathMin {
				Vx = w
				TablePathMin = dis[w].Length
			}
		}
		dis[Vx].Visited = true
		for j := 0; j < len(vertex); j++ {
			if !dis[j].Visited && dis[Vx].Length+vertex[Vx][j] < dis[j].Length {
				dis[j].Length = dis[Vx].Length + vertex[Vx][j]
				//end := j + 1
				//if j == len(vertex)-1 {
				//	end = j
				//}
				dis[j].Path = dis[Vx].Path + "->" + Index2Key[j]

			}
		}
	}

	path := c.getDijstraCadPath(dis[endNode], Index2Key[startNode], Index2Key[endNode])
	datas = append(datas, path)
	mutex.Unlock()
}

func (c *CacService) getDijstraCadPath(dis Dis,
	startNode, endNode string) string {
	if dis.Length == math.MaxFloat64 {
		minPath := cad.GetCADObject(cad.GetCADString("起点", startNode),
			cad.GetCADString("终点", endNode),
			cad.GetCADSpaceString("路径", getCADNoPath(startNode, endNode, "路径不通")),
			cad.GetCADString("长度", "0"))
		return minPath
	} else {
		minPath := cad.GetCADObject(cad.GetCADString("起点", startNode),
			cad.GetCADString("终点", endNode),
			cad.GetCADSpaceString("路径", getCADPath(dis.Path)),
			cad.GetCADString("长度", cast.ToString(dis.Length)),
		)
		return minPath
	}

}

/**
递归算法全路径遍历，然后找到最短的路径
*/

func (c *CacService) GetAllPathsByRecursive(KVs string, graph string) string {
	parseGraph, _ := c.parseGraph(graph)
	kvs := strings.Split(KVs, "|")
	wg := &sync.WaitGroup{}
	datas = make([]string, len(kvs))
	for _, KV := range kvs {
		kv := strings.Split(KV, ":")
		startNode, endNode := kv[0], kv[1]
		wg.Add(1)
		path, paths, length := startNode, make(map[string]float64), 0
		go func(wg *sync.WaitGroup, startNode, endNode, path string,
			graph Graphs, paths map[string]float64, length float64) {
			c.getMinPath(wg, startNode, endNode, path, graph, paths, length)
		}(wg, startNode, endNode, path, parseGraph, paths, float64(length))
	}
	wg.Wait()
	return cad.GetCADObject(datas...)
}

func (c *CacService) getAllPath(startNode, endNode, path string,
	graph Graphs, paths map[string]float64, length float64) (string, float64) {
	NextNodesMap := graph.getChildByKey(startNode)
	if startNode == endNode || len(NextNodesMap) == 0 {
		return path, length
	}

	curPath := path
	curLength := length
	for key := range NextNodesMap {
		//判断key在中间，在开头，在结尾
		if c.checkNodeIsPath(path, key) {
			continue
		}
		//获取到当前节点的路径
		c.addKey(&path, key)
		//计算到当前节点的距离
		c.calculatePath(≤ngth, startNode, key, graph)
		lastPath, lastLength := c.getAllPath(key, endNode, path, graph, paths, length)
		//当遍历完当前节点的路径后重置path,length为当前path,length
		path = curPath
		length = curLength
		if strings.Contains(lastPath, startNode) && strings.Contains(lastPath, endNode) {
			paths[lastPath] = lastLength
		}

	}
	return curPath, curLength
}

func (c *CacService) checkNodeIsPath(path, node string) bool {
	ps := strings.Split(path, "->")
	m := make(map[string]bool)
	for i := range ps {
		m[ps[i]] = true
	}
	return m[node]
}

func (c *CacService) addKey(s *string, key string) {
	var build strings.Builder
	build.WriteString(*s)
	build.WriteString("->")
	build.WriteString(key)
	*s = build.String()
}

func (c *CacService) calculatePath(length *float64, preNode, curNode string, graph Graphs) {
	*length += graph.getLengthByKeys(preNode, curNode)
}

func (c *CacService) getMinPath(wg *sync.WaitGroup, startNode, endNode, path string,
	graph Graphs, paths map[string]float64, length float64) {
	defer wg.Done()

	c.getAllPath(startNode, endNode, path, graph, paths, length)
	//正常应该有多条最短路径，需求仅仅只需要返回一条
	minPaths := c.getShortPaths(paths, startNode, endNode)
	mutex.Lock()
	datas = append(datas, minPaths)
	mutex.Unlock()
}

func (c *CacService) getShortPaths(paths map[string]float64, startNode, endNode string) string {
	minLen := float64(0)
	minK := ""
	for k, v := range paths {
		if minLen == 0 {
			minLen = v
			minK = k
		}
		if minLen != 0 && v < minLen {
			minLen = v
			minK = k
		}
	}
	//这是存在最短路径
	if len(paths) > 0 {
		minPath := cad.GetCADObject(cad.GetCADString("起点", startNode),
			cad.GetCADString("终点", endNode),
			cad.GetCADSpaceString("路径", getCADPath(minK)),
			cad.GetCADString("长度", cast.ToString(minLen)),
		)
		return minPath
	} else {
		minPath := cad.GetCADObject(cad.GetCADString("起点", startNode),
			cad.GetCADString("终点", endNode),
			cad.GetCADSpaceString("路径", getCADNoPath(startNode, endNode, "路径不通")),
			cad.GetCADString("长度", cast.ToString(minLen)), )
		return minPath
	}

}

/**
SPFA算法
*/

func (c *CacService) GetAllPathBySPFA(KVs string, graph string) string {
	splits := strings.Split(KVs, "|")
	parseGraph, _ := c.parseGraph(graph)
	vert, Key2Index, Index2Key, _ := c.mapToSlice(parseGraph)
	Paths := make([]*Path, 0)
	for v := range splits {
		k := strings.Split(splits[v], ":")
		startNode := Key2Index[k[0]]
		endNode := Key2Index[k[1]]
		path := &Path{}
		c.SPFA(startNode, endNode, len(vert), path, vert, Index2Key)
		Paths = append(Paths, path)
	}
	datas := make([]string, 0)
	for _, p := range Paths {
		datas = append(datas, c.getSPFACADPath(p))
	}

	return cad.GetCADSlice2Str(datas...)
}

func (c *CacService) SPFA(s, e, n int, p *Path, Vert [][]float64, Index2Key map[int]string) []float64 {

	dis := make([]float64, n) //
	vis := make([]bool, n)
	num := make([]int, n)
	path := make([]int, n)
	disMap := make(map[string]float64)
	q := queue.New()
	for i := 0; i < n; i++ {
		dis[i] = math.MaxFloat64
	}
	dis[s] = 0
	vis[s] = true
	num[s] = 1
	q.Add(s)
	p.StartNode = Index2Key[s]
	p.EndNode = Index2Key[e]
	for q.Length() != 0 {
		a := q.Get(0)
		u := a.(int)

		q.Remove()
		vis[u] = false
		for v := 0; v < n; v++ {
			if dis[v] > dis[u]+Vert[u][v] {
				dis[v] = dis[u] + Vert[u][v]
				disMap[Index2Key[v]] = dis[u] + Vert[u][v]
				path[v] = u
				if !vis[v] {
					q.Add(v)
					vis[v] = true
					num[v]++
					if num[v] >= n {
						goto no
					}
				}
			}
		}

	}
	//以上是spfa的主要算法内容以下为业务操作内容
	fmt.Println("开始路径封装")
	goto ok
no:

	p.Path = "存在负权回路"
	p.Value = math.MaxFloat64
	fmt.Println("结束路径封装", p.Path)
	return dis
ok:
	buf := bytes.Buffer{}
	tmpE := e
	buf.WriteString(Index2Key[tmpE])
	for s != tmpE {
		prv := path[tmpE]
		buf.WriteString("<-" + Index2Key[prv])
		if prv == tmpE {
			break
		}
		tmpE = prv
	}
	p.Path = c.reversePath(buf.String())
	p.Value = disMap[Index2Key[e]]
	fmt.Println("结束路径封装", p.Path)
	return dis
}

func (c *CacService) reversePath(path string) string {
	buf := bytes.Buffer{}
	pathSlice := strings.Split(path, "<-")
	for i, j := 0, len(pathSlice)-1; i < j; i, j = i+1, j-1 {
		pathSlice[i], pathSlice[j] = pathSlice[j], pathSlice[i]
	}
	node := ""
	for i := 0; i < len(pathSlice); i++ {
		if i != len(pathSlice)-1 {
			node = pathSlice[i] + "->"
		} else {
			node = pathSlice[i]
		}
		buf.WriteString(node)
	}
	return buf.String()
}

func (c *CacService) getSPFACADPath(p *Path) string {
	if p.Value == math.MaxFloat64 {
		minPath := cad.GetCADObject(cad.GetCADString("起点", p.StartNode),
			cad.GetCADString("终点", p.EndNode),
			cad.GetCADSpaceString("路径", getCADNoPath(p.StartNode, p.EndNode, p.Path)),
			cad.GetCADString("长度", "0"))
		return minPath
	} else {
		minPath := cad.GetCADObject(cad.GetCADString("起点", p.StartNode),
			cad.GetCADString("终点", p.EndNode),
			cad.GetCADSpaceString("路径", getCADPath(p.Path)),
			cad.GetCADString("长度", cast.ToString(p.Value)),
		)
		return minPath
	}
}

func getCADPath(path string) string {
	var build strings.Builder
	nodes := strings.Split(path, "->")
	for index, v := range nodes {
		build.WriteString(`"`)
		build.WriteString(v)
		if index == len(nodes)-1 {
			build.WriteString(`"`)
		} else {
			build.WriteString(`" `)
		}

	}
	return build.String()
}

func getCADNoPath(startNode, endNode, path string) string {
	var build strings.Builder
	build.WriteString(` "`)
	build.WriteString(startNode)
	build.WriteString(`"`)

	build.WriteString(` "`)
	build.WriteString(path)
	build.WriteString(`"`)

	build.WriteString(` "`)
	build.WriteString(endNode)
	build.WriteString(`"`)

	return build.String()
}