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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|S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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：
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:
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）:
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：
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:
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
}
//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：
/**
* @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()
}