최단거리 구하기(1)

테스트 환경

vue.js : 3.2.13

 

 

네이버 맵을 기반으로 하여서 최적 해를 구하는 코드입니다. 

주소를 gps좌표 변환 api도 네이버를 이용하였습니다. 

네이버랑 아무 관계없고.. 단지.. 그냥... 네이버 활용하였습니다. 

최단거리(최적 해)를 구하는 것이... 결론만 말하면.. 

모든 지점간 거리를 알고 있어야 하고, AI는 아무 것도 모르지만... 

AI도 내가 생각한 것과 동일하게 각 지점간 모든 거리를 알고 계산하는게 아닌가 싶네요. 

혹시 아니라고 하시는 분들 댓글 남겨주시면, 공부 하겠습니다. 

아무리 생각해도 이건... 다 알지 않고서는 어디가 최단거리인지 알수가 없네요. 

지금은 직선 거리로 최단거리를 코드를 알려드리지만, 

이후에 추가 되는 글에는 네이버 네비게이션 상의 최단 거리를 구하는 코드로 올라갈 예정입니다. 

물론, 네이버 뿐아니라, T맵도 동일하게 가능할 것으로 보입니다. 

 

아래 동영상 설명.

1. 시작 주소 저장 버튼 클릭 -> 시작 주소를 시작점으로 나머지 주소를 검색.

2.목적지 주소 검색 버튼 클릭 -> 목적지 주소의 GPS상 좌표를 구해야 하기 때문에 시작 주소와 구분함

   *이유: 비동기 호출이라.. 순서가 달라짐. 먼저 보냈다고 해서 먼저 오지 않음.

3. 경로 조회 버튼 클릭-> 최단 거리를 구하는 로직을 실행함.

   *목적지 주소 검색 api가 비동기인 관계로... 끝나는 시점을 계산 해야되는데... 시작 주소 저장 이벤트와 같은

    로직을 실행 하는 관계로 별도로 만듬. 

 

 

 

 

코드

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<template>     <table>         <tr>             <td>                 시작주소             </td>             <td>                 <DxTextBox placeholder="시작주소" :value="addressStart"  :width="500" />             </td>         </tr>         <tr>             <td>                 목적지 주소 목록             </td>             <td>                 <DxTextBox placeholder="주소" :value="addressList"  :width="500" />             </td>         </tr>     </table>     <DxButton  text="시작 주소 저장" :width="150" styling-mode="contained" type="default" @click="onClickStartAddressSearch()" />     <DxButton  text="목적지 주소 검색" :width="150" styling-mode="contained" type="default" @click="onAddressListSearch()" />     <DxButton  text="경로 조회" :width="100" styling-mode="contained" type="default" @click="onCalc()" />       <table>         <tr>             <td>                 <div id="map" style="width:600px;height:600px"></div>             </td>             <td style="vertical-align:text-top;">                 <span style="display: inline-block;">                     <DxDataGrid                         id="gridContainer"                         :data-source="orderByRanking"                         :column-auto-width="false"                         :show-borders="false"                         :row-alternation-enabled="true"                         key-expr="Rank"                         ref="grid"                         @row-click="onGridRowClick"                         >                         <DxColumnChooser :enabled="false"/><!-- 컬럼 감추기, 선택해서 보이게 우상단에 아이콘 하나 생김 -->                         <DxColumnFixing :enabled="false"/> <!--행고정시 다음 옵션 필수   :column-auto-width="false"  :fixed="true"  --->                         <DxScrolling mode="infinite"/><!--무한 스크롤-->                         <DxColumn :width="80" data-field="Rank"  :fixed="true" caption="Rank" data-type="int" alignment="center" :allow-sorting="false" />                         <DxColumn :width="150" data-field="route" caption="경로" data-type="string" alignment="center" :allow-sorting="false" />                         <DxColumn :width="100" data-field="distance" caption="거리" data-type="string" alignment="right" :allow-sorting="false" />                     </DxDataGrid>                 </span>                 <span style="display: inline-block;">                     <ul>                         <li v-for="item in markerLst" v-bind:key="item">                             {{ item.dong }} - {{ item.dongNo }}                         </li>                     </ul>                 </span>             </td>         </tr>         <tr>             <td>                 <ul>                     <li v-for="item in markerDistance" v-bind:key="item">                         start:{{ item.s }} - end:{{ item.e }} -거리: {{ item.distance }}                     </li>                 </ul>                   <ul>                     <li v-for=" (item, index) in orderByRanking" v-bind:key="item" @click="onDrawRouteLine(index)">                         {{ index + 1 }} -                         route:                         <span v-for = "r in item.route" v-bind:key="r">                             {{ r }}                         </span>                         , distance:{{ item.distance }}                     </li>                 </ul>             </td>             <td>                 <ul>                     <li v-for="item in routeDepth" v-bind:key="item">                         route:                         <span v-for = "r in item.route" v-bind:key="r">                             {{ r }}                         </span>                         level: {{ item.level }} - distance:{{ item.distance }}                     </li>                 </ul>             </td>         </tr>     </table>       </template> <script>     import { DxButton } from 'devextreme-vue/button'     import { DxTextBox } from "devextreme-vue/text-box"     import { DxDataGrid, DxColumn, DxColumnChooser, DxScrolling         //DxColumnFixing,         //DxScrolling     } from 'devextreme-vue/data-grid'       var nMap       export default {         name: 'NaverMap2'         , components: {             DxButton             , DxTextBox             , DxDataGrid             , DxColumn             , DxColumnChooser             , DxScrolling         }         , data() {             return {                 markerLst : []// {'dong' : dong, 'dongNo' : dongNo, 'road' : road,'roadNo' : roadNo, 'x' : x, 'y' : y }                 , markerDistance :[]//{s:0, e:1, distance:3}                 // {"s": 0,"e": 1,"distance": 1.3234723327641063e-8},                 // {"s": 0,"e": 2,"distance": 2.066463741484345e-8},                 // {"s": 0,"e": 3,"distance": 6.739547006524355e-8},                 // {"s": 0,"e": 4,"distance": 3.832084574747789e-8},                 , routeDepth :[]//{route:'0,1,2,3', level: 3, distance:3}                 //recursionCnt : 4 //시작점인 0을 빼면 4계층                 //  {"route":[0,1,2,3,4],"level":4,"distance":"7.93"}                 // ,{"route":[0,1,2,4,3],"level":4,"distance":"6.33"}                 // ,{"route":[0,1,3,2,4],"level":4,"distance":"5.79"}                 , orderByRanking : []                 // {"route":[0,1,3,4,2],"level":4,"distance":"5.27"}                 // ,{"route":[0,2,4,3,1],"level":4,"distance":"5.50"}                 , routeLine : undefined                   //주소 목록                 , addressList :'상록구 성포동 590,단원구 고잔동 767,단원구 고잔동 702,상록구 사동 1585,상록구 이동 693-4' //55개                 , addressStart :'단원구 초지동 741'                 , addressEnd :'상록구 이동 574-1'             }         }         , mounted() {               this.initMap()         }         , methods: {             initMap()             {                 var mapOptions = {                         scaleControl: true           //우하단 축척                     , logoControl: true            //네이버 로고 뭔지 모르겠음.                     , mapDataControl: true         //좌하단 네이버 로고                     , mapTypeControl: true         //지도 유형 컨트롤                     , zoom: 14                     , zoomControl: true            //줌 컨트롤                     // , zoomControlOptions: {     //줌 컨트롤 스타일                     //     style: naver.maps.ZoomControlStyle.SMALL,                     //     position: naver.maps.Position.TOP_RIGHT                     //     }                        //주석 풀면 우측에 +-로만 생김                     , maxZoom : 19                  //최대 줌 레벨                     , minZoom :6                    //최소 줌 레벨                     , disableDoubleClickZoom : false//더블 클릭해 지도를 확대하는 기능의 사용 여부                     , mapTypeId: naver.maps.MapTypeId.NORMAL//NORMAL SATELLITE HYBRID  지도의 초기 지도 유형 id입니다.                     , keyboardShortcuts : true      //키보드 방향 키를 이용한 지도 이동(패닝) 허용 여부입니다.                 }                   nMap = new naver.maps.Map('map', mapOptions)                   naver.maps.Event.addListener(nMap, 'click', this.mapClick)                 naver.maps.Event.addListener(nMap, 'rightclick', this.mapRightClick)                   nMap.setCenter(new naver.maps.LatLng(37.3089449, 126.8367496))             }               //#region event             , onCalc()             {                 this.PtoPDistance();                 this.drawMarker();                 this.totalDistance();                 this.ranking();             }               ,onClickStartAddressSearch()             {                 this.callNaverAddressService(this.addressStart)//시작 주소             }               //주소 목록 검색             ,onAddressListSearch()             {                 //1.주소 분할                 var addrList = this.addressList.split(',')                   //2.리스트 추가                 for(var i=0; i < addrList.length; i++)                     this.callNaverAddressService(addrList[i]);//시작 주소                   //4.마지막 주소는 별도 관리 일단 추후에 생각해 보기.             }                 //#region map event             , mapClick(e)             {                 alert('현좌표(left click)' + e.coord.x + '-' + e.coord.y)             }               , mapRightClick(e)             {                 naver.maps.Service.reverseGeocode({                     coords: new naver.maps.LatLng(e.coord.y, e.coord.x),                 }, function(status, response) {                     if (status !== naver.maps.Service.Status.OK) {                         return alert('Something wrong!');                     }                       var result = response.v2 // 검색 결과의 컨테이너                     //var items = result.results // 검색 결과의 배열                     //var address = result.address // 검색 결과로 만든 주소                       alert('현주소(rightClick) ' + result.address.jibunAddress)                   });             }             //#endregion               , onGridRowClick(e)             {                 //alert(e); //e.rowIndex                 this.drawRouteLine(e.rowIndex);             }             //#endregion                 //#region function             , drawMarker()             {                   //무료 아이콘                 //https://www.iconfinder.com/search?q=dog&price=free                 for(var arr in this.markerLst)                 {                      //이미지 마커                     var imageMarkerOptions = {                         position: new naver.maps.LatLng(this.markerLst[arr].y, this.markerLst[arr].x)                         , map: nMap                         , icon: {                                 url: require('@/images/' + (arr == 0 ? 'flags_4.svg' : 'flags_1.svg'))                                 //, size: new naver.maps.Size(24, 24)                                 //, origin: new naver.maps.Point(0, 0)                                 //, anchor: new naver.maps.Point(0, 0)                             }                         };                       var imageMarker = new naver.maps.Marker(imageMarkerOptions)                       //marker event                     naver.maps.Event.addListener(imageMarker, 'click', this.markerClick)                     // 이벤트는 폴리곤, 마커 등 각각 지원하는게 있고, 안하는 것이 있음. api 확인 할 것                     // 아래는 전체 이벤트                     // mousedown, mouseup, click, dblclick, rightclick, mouseover, mouseout, mousemove                     // dragstart, drag, dragend                     // touchstart, touchmove, touchend, pinchstart, pinch, pinchend, tap, longtap, twofingertap, doubletap                   }             }               //2점간 거리 계간             , PtoPDistance()             {                 var dist = 0;                 for(var i= 0; i < this.markerLst.length; i++ )                 {                     for(var j = i +1; j < this.markerLst.length; j++ )                     {                         dist = this.distance(this.markerLst[i].x, this.markerLst[i].y, this.markerLst[j].x, this.markerLst[j].y, 'KM');                         this.markerDistance.push({'s': i, 'e': j, 'distance' : dist.toFixed(2) })                     }                 }                   console.log(this.markerDistance)             }               /**              * 두 지점간의 거리 계산              *              * @param lat1 지점 1 위도              * @param lon1 지점 1 경도              * @param lat2 지점 2 위도              * @param lon2 지점 2 경도              * @param unit 거리 표출단위              * @return              */             , distance(lat1, lon1, lat2, lon2, unit)             {                 var theta = lon1 - lon2;                 var dist = Math.sin(this.deg2rad(lat1))* Math.sin(this.deg2rad(lat2)) + Math.cos(this.deg2rad(lat1)) * Math.cos(this.deg2rad(lat2)) * Math.cos(this.deg2rad(theta));                   dist = Math.acos(dist);                 dist = this.rad2deg(dist);                 dist = dist * 60 * 1.1515;                   if (unit == "KM") {                     dist = dist * 1.609344;                 } else if(unit == "M"){                     dist = dist * 1609.344;                 }                   return dist;             }               // This function converts decimal degrees to radians             , deg2rad(deg)             {                 return (deg * Math.PI / 180.0);             }               // This function converts radians to decimal degrees             , rad2deg(rad) {                 return (rad * 180 / Math.PI);             }               //최단 거리 구하기             , totalDistance()             {                 var data;                 var depthLevel = 0;                 var route;                 var distance = 0;                   //기준점(시작점) 0에서 시작                 for(var i= 1;  i < this.markerLst.length; i++)                 {                     //재귀를 돌아야 됨.                     depthLevel = 1;                     route = new Array();                     route.push(0);                     route.push(i);                       //거리계산                     for(var j = 0; j < this.markerDistance.length; j++)                     {                         if((0 == this.markerDistance[j].s && i == this.markerDistance[j].e))                         {                             distance = Number(this.markerDistance[j].distance);                         }                     }                       data = {'route': route, 'level' : depthLevel + 1, 'distance' : distance};                     this.recursionRoute(data, depthLevel);                 }             }               , recursionRoute(data, depthLevel)             {                 var rData                 var level = depthLevel + 1                 var s, e                   if(level < this.markerLst.length)                 {                     for(var i= 1;  i < this.markerLst.length; i++)                     {                         if(!data.route.includes(i))//포함되어 있는지 체크                         {                             rData = JSON.parse(JSON.stringify(data))//객체 복사 문제 생김.                             //rData = data                             rData.route.push(i)                             rData.level = level                               //거리계산                             //2가지 경우, se, e,s로 해서 더할 것.                             s = rData.route[rData.route.length-2]//-1로 할 경우 route.push(i) 앞에 있어야 됨.                             e = i                             for(var j = 0; j < this.markerDistance.length; j++)                             {                                 if((s == this.markerDistance[j].s && e == this.markerDistance[j].e) || (e == this.markerDistance[j].s && s == this.markerDistance[j].e))                                 {                                     //이렇게 해주면,,, 일부 데이터가 소수점 이하 16자리까지 나옴. 이유는 모르겠음.                                     //5.7700000000000005 toFixed(2)를 해주면 정상적으로 나옴. 실 데이터는 문제가 없음.??? 왜지?? 연산 오류?                                     //rData.distance = (Number( rData.distance) + Number(this.markerDistance[j].distance))                                     rData.distance = (Number( rData.distance) + Number(this.markerDistance[j].distance)).toFixed(2)                                     //console.log(rData.distance)                                 }                             }                               this.recursionRoute(rData, level)                               //if(level == this.markerLst - 1 ){                                 if(level == this.markerLst.length -1 ){                                 //console.log(rData)                                 this.routeDepth.push(rData)                             }                         }                     }                 }             }               //swap             , ranking()             {                 var data = JSON.parse(JSON.stringify(this.routeDepth))                   data.sort(function(a,b) {                       //a-b는 오름차순                     //b-a는 내림차순                     return parseFloat(a.distance) - parseFloat(b.distance);                 });                     for(var i = 0; i< data.length; i++)                     data[i].Rank = i + 1;                   this.orderByRanking = data;             }               //draw route line             , drawRouteLine(index)             {                 var routeRow = this.orderByRanking[index];                 var polyLinePath= [];                   for(var i = 0; i< routeRow.route.length; i++)                     polyLinePath.push(new naver.maps.LatLng(this.markerLst[routeRow.route[i]].y, this.markerLst[routeRow.route[i]].x));                   if(this.routeLine != undefined)                     this.routeLine.setMap(null);                   //routeLine                 var polyline = new naver.maps.Polyline({                     path: polyLinePath,                     strokeColor: '#00CA00',                     strokeOpacity: 0.8,                     strokeWeight: 3,                     zIndex: 1,                     clickable: true,                     map: nMap                 });                   this.routeLine = polyline             }             //#endregion               //#region service               //주소로 좌표 불러오기             ,callNaverAddressService(address)             {                 var that = this;                   naver.maps.Service.geocode({query:address},function(status, response){                       if (status !== naver.maps.Service.Status.OK)                         return alert('Something wrong!');                       var dong = response.v2.addresses[0].addressElements[2].longName;//동                     var dongNo = response.v2.addresses[0].addressElements[7].longName;//지번                     var road = response.v2.addresses[0].addressElements[4].longName;//도로명 주소                     var roadNo = response.v2.addresses[0].addressElements[5].longName;//도로명 지번                     var x = response.v2.addresses[0].x;//126.8620435                     var y = response.v2.addresses[0].y;//37.3047594                         //주소 목록은 저장{dong:'', dongNo:'', road:'',roadNo='', x:, y: }                     that.markerLst.push({'dong' : dong, 'dongNo' : dongNo, 'road' : road,'roadNo' : roadNo, 'x' : x, 'y' : y })                   })             }               //#endregion         }     }   </script> <style scoped> #gridContainer {   height: 600px;   width:400px; } </style>

 

네이버 맵에서 실제 경로(네비게이션 상 경로)로 구현한 코드는 추후 올라 감.