rts-sim-testing-service/third_party/can_btm/balise_detection.go

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package can_btm
import (
"fmt"
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"joylink.club/bj-rtsts-server/dto/state_proto"
"joylink.club/bj-rtsts-server/third_party/btm_vobc"
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"joylink.club/rtsssimulation/component"
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"joylink.club/rtsssimulation/fi"
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"joylink.club/rtsssimulation/repository"
"joylink.club/rtsssimulation/repository/model/proto"
"math"
"sort"
"sync"
"time"
)
//通过提前预测来实现BTM天线扫描应答器的实时性
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//根据当前列车运行信息预测出列车前方应答器被扫描到的时刻
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// BtmAntennaRunningInfo 车载BTM天线中心点位置运行信息
// BTM天线一般在第一车轴后某个位置
type BtmAntennaRunningInfo struct {
Up bool //车载BTM天线中心点运行方向
LinkId string //车载BTM天线中心点所在轨道的id
LinkOffset int64 //车载BTM天线中心点所在轨道上的偏移mm
Speed float32 //列车运行速度m/s
Acceleration float32 //加速度(m/s^2)
}
const (
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//BtmAntennaOffsetHead = int64(1000) //车载BTM天线距车头端点的距离mm
BtmAntennaOffsetHead = int64(0) //车载BTM天线距车头端点的距离mm
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)
// TrainHeadPositionInfo 列车车头运行位置信息
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type TrainHeadPositionInfo = fi.TrainHeadPositionInfo
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type BtmAntennaToBaliseInfo struct {
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Distance int64 //BTM天线中心到应答器的距离mm
BaliseId string //应答器id
BaliseType proto.Transponder_Type //应答器类型
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}
type BtmAntennaScanningBaliseInfo struct {
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BaliseId string //应答器id
Time time.Time //应答器预计被BTM天线激活的时刻
active bool //true-激活过,即列车扫过
telegram []byte //应答器用户报文
telegram128 []byte //应答器报文
Distance int64 //BTM天线中心到应答器的距离mm
BaliseType proto.Transponder_Type //应答器类型
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IsSend bool
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}
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// BaliseDetector 车载BTM天线应答器探测器
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type BaliseDetector struct {
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eq [3]*BtmAntennaScanningBaliseInfo //预测将被BTM天线扫描的应答器队列左边为头
eqLock sync.Mutex
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//车载应答器天线功率放大器开关true-开false-关
powerAmplifierSwitch bool
//天线此时是否在应答器上方
aboveBalise bool
//应答器计数(每过一个应答器加一,在同一个应答器内不变)
baliseCounter int
//报文计数器(每解出一个应答器报文加一,应答器报文长度830bits
messageCounter int
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//BTM所在列车id
trianId string
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}
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// 由于同一时间只能有一辆列车与CAN BTM绑定
// 当检测到重新绑定列车时,重置相关数据
func (t *BaliseDetector) tryRebind(th *TrainHeadPositionInfo) {
if th.TrainId != t.trianId {
t.trianId = th.TrainId
t.clearExpectedBalise()
t.baliseCounter = 0
t.messageCounter = 0
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//slog.Debug(fmt.Sprintf("列车[%s]与CAN-BTM绑定", t.trianId))
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}
}
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func (t *BaliseDetector) detect2(wd *component.WorldData, repo *repository.Repository, th, th2 *TrainHeadPositionInfo, vobcBtm *state_proto.VobcBtmState) {
t.tryRebind(th)
//BTM天线中心点运行信息
curAntennaRi := t.createBtmAntennaRunningInfo(wd, repo, th) //目前车头
curAntennaRi2 := t.createBtmAntennaRunningInfo(wd, repo, th2) //上次车头
var startBalises []*repository.Transponder
var endBalises []*repository.Transponder
//startBalises = t.searchBalisesFromBetweenLinkPosition(repo, th.Up, curAntennaRi2.LinkId, th2.LinkOffset, th.LinkOffset)
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startBalises = t.searchBalisesFromBetweenLinkPosition(repo, th.Up, curAntennaRi2.LinkId, curAntennaRi2.LinkOffset, curAntennaRi.LinkOffset)
//endBalises = t.searchBalisesFromBetweenLinkPosition(repo, !th.Up, curAntennaRi.LinkId, curAntennaRi.LinkOffset, curAntennaRi2.LinkOffset)
/* if th.Up {
startBalises = t.searchBalisesFromBetweenLinkPosition(repo, th.Up, curAntennaRi2.LinkId, curAntennaRi2.LinkOffset, curAntennaRi.LinkOffset)
endBalises = t.searchBalisesFromBetweenLinkPosition(repo, !th.Up, curAntennaRi.LinkId, curAntennaRi.LinkOffset, curAntennaRi2.LinkOffset)
} else {
startBalises = t.searchBalisesFromBetweenLinkPosition(repo, th.Up, curAntennaRi2.LinkId, curAntennaRi.LinkOffset, curAntennaRi2.LinkOffset)
endBalises = t.searchBalisesFromBetweenLinkPosition(repo, !th.Up, curAntennaRi.LinkId, curAntennaRi2.LinkOffset, curAntennaRi.LinkOffset)
}*/
balises := make([]*repository.Transponder, 0)
for _, balise := range startBalises {
find := false
for _, transponder := range balises {
if transponder.Id() == balise.Id() {
find = true
break
}
}
if !find {
balises = append(balises, balise)
//slog.Info(fmt.Sprintf("start baliseId:%v,Distance:%v,up:%v", balisecodec.Id(), balisecodec.LinkPosition(), curAntennaRi.Up))
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}
}
for _, balise := range endBalises {
find := false
for _, transponder := range balises {
if transponder.Id() == balise.Id() {
find = true
break
}
}
if !find {
//slog.Info(fmt.Sprintf("end baliseId:%v,Distance:%v,up:%v", balisecodec.Id(), balisecodec.LinkPosition(), curAntennaRi.Up))
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balises = append(balises, balise)
}
}
if len(balises) > 0 {
balise := balises[0]
baliseInfo := &BtmAntennaScanningBaliseInfo{BaliseId: balise.Id(), BaliseType: balise.BaliseType()}
/*uuid := uuid2.NewString()
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for _, transponder := range balises {
slog.Info(fmt.Sprintf("uid :%v,baliseId:%v,Distance:%v,up:%v", uuid, transponder.Id(), baliseInfo.Distance, curAntennaRi.Up))
}*/
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telegram, utel := t.rcvTelegram2(wd, balise.Id())
if utel != nil && t.addExpectedBalise(baliseInfo) {
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t.baliseCounterAdd1() //应答器计数器
if len(telegram) > 0 {
baliseInfo.telegram = utel
baliseInfo.telegram128 = telegram
t.baliseMessageCounterAdd1() //报文计数器
}
}
t.aboveBalise = true
} else {
t.aboveBalise = false
}
/* curAntennaRi2 := t.createBtmAntennaRunningInfo(wd, repo, &TrainHeadPositionInfo{TrainId: th.TrainId,
Up: !th.Up,
Link: th.Link,
LinkOffset: th.LinkOffset,
Speed: th.Speed,
Acceleration: th.Acceleration})
curExpect2 := t.timeScanNearestBalise(curTime, wd, repo, curAntennaRi2)
if curExpect2 != nil && curExpect2.Distance > 20 {
btm_vobc.Default().UpdateTrainLeave(vobcBtm, curExpect2.BaliseId, curTime.UnixMilli())
}*/
}
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func (t *BaliseDetector) detect(wd *component.WorldData, repo *repository.Repository, th *TrainHeadPositionInfo, vobcBtm *state_proto.VobcBtmState) {
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t.tryRebind(th)
//if !t.powerAmplifierSwitch { //天线功率放大器未开启,不进行探测
// return
//}
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curTime := time.Now()
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//BTM天线中心点运行信息
curAntennaRi := t.createBtmAntennaRunningInfo(wd, repo, th)
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//预测BTM天线到最近一个应答器的时刻
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curExpect := t.timeScanNearestBalise(curTime, wd, repo, curAntennaRi)
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if curExpect != nil && curExpect.Time.UnixMilli()-curTime.UnixMilli() < 20 { //20ms
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//if curExpect != nil && curExpect.Distance < 80 { //20ms
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//slog.Debug("将要激活应答器", "BaliseId", curExpect.BaliseId, "ActiveTime", dt)
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//slog.Info(fmt.Sprintf("baliseId:%v,Distance:%v,up:%v", curExpect.BaliseId, curExpect.Distance, curAntennaRi.Up))
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telegram, utel := t.rcvTelegram(wd, curExpect.BaliseId)
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if curExpect.Distance <= 50 {
btm_vobc.Default().AppendBaliseMsgForTrain(vobcBtm, curExpect.BaliseId, telegram, curTime.UnixMilli())
}
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//记录即将经过的应答器
if t.addExpectedBalise(curExpect) {
t.baliseCounterAdd1() //应答器计数器
if len(telegram) > 0 {
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curExpect.telegram = utel
curExpect.telegram128 = telegram
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t.baliseMessageCounterAdd1() //报文计数器
}
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}
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//BTM天线即将经过应答器
t.aboveBalise = true
} else {
t.aboveBalise = false
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}
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curAntennaRi2 := t.createBtmAntennaRunningInfo(wd, repo, &TrainHeadPositionInfo{TrainId: th.TrainId,
Up: !th.Up,
Link: th.Link,
LinkOffset: th.LinkOffset,
Speed: th.Speed,
Acceleration: th.Acceleration})
curExpect2 := t.timeScanNearestBalise(curTime, wd, repo, curAntennaRi2)
if curExpect2 != nil && curExpect2.Distance > 20 {
btm_vobc.Default().UpdateTrainLeave(vobcBtm, curExpect2.BaliseId, curTime.UnixMilli())
}
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}
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// 应答器计数器加1[0,255]
func (t *BaliseDetector) baliseCounterAdd1() {
t.baliseCounter++
if t.baliseCounter > 255 {
t.baliseCounter = 0
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}
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}
// 报文计数器加1[0,255]
func (t *BaliseDetector) baliseMessageCounterAdd1() {
t.messageCounter++
if t.messageCounter > 255 {
t.messageCounter = 0
}
}
// BTM天线接收应答器报文(线程不安全)
func (t *BaliseDetector) rcvTelegram2(wd *component.WorldData, baliseId string) ([]byte, []byte) {
if entry, ok := wd.EntityMap[baliseId]; ok {
workedState := component.BaliseWorkStateType.Get(entry)
if !workedState.Work {
return nil, nil
}
//hasVar := entry.HasComponent(component.BaliseVariableTelegramType)
//hexFix := entry.HasComponent(component.BaliseFixedTelegramType)
if entry.HasComponent(component.BaliseVariableTelegramType) {
baliseVar := component.BaliseVariableTelegramType.Get(entry)
//slog.Info(fmt.Sprintf("find_baliseId:%v ,work:%v,var:%v,fix:%v,tel:%v,usertel:%v", baliseId, workedState.Work, hasVar, hexFix, hex.EncodeToString(baliseVar.Telegram), hex.EncodeToString(baliseVar.UserTelegram)))
return baliseVar.Telegram, baliseVar.UserTelegram
} else if entry.HasComponent(component.BaliseFixedTelegramType) {
fixBalise := component.BaliseFixedTelegramType.Get(entry)
//slog.Info(fmt.Sprintf("find_baliseId:%v ,work:%v,var:%v,fix:%v,tel:%v,usertel:%v", baliseId, workedState.Work, hasVar, hexFix, hex.EncodeToString(tel), hex.EncodeToString(utel)))
return fixBalise.Telegram, fixBalise.UserTelegram
}
}
return nil, nil
}
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// BTM天线接收应答器报文(线程不安全)
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func (t *BaliseDetector) rcvTelegram(wd *component.WorldData, baliseId string) ([]byte, []byte) {
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entry, ok := wd.EntityMap[baliseId]
if ok {
if component.BaliseWorkStateType.Get(entry).Work {
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tel := component.BaliseFixedTelegramType.Get(entry).Telegram
utel := component.BaliseFixedTelegramType.Get(entry).UserTelegram
return tel, utel
//return component.BaliseFixedTelegramType.Get(entry).Telegram
}
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}
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return nil, nil
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}
// true-新增false-更新
func (t *BaliseDetector) addExpectedBalise(curExpect *BtmAntennaScanningBaliseInfo) bool {
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//
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t.eqLock.Lock()
defer t.eqLock.Unlock()
////更新,去重
//for i, e := range t.eq {
// if e != nil && e.BaliseId == curExpect.BaliseId {
// t.eq[i].Time = curExpect.Time
// return false
// }
//}
//检查是否已经记录过
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for _, tt := range t.eq {
if tt != nil && tt.BaliseId == curExpect.BaliseId {
return false
}
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}
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/* eq := t.eq[len(t.eq)-1]
if eq != nil && eq.BaliseId == curExpect.BaliseId {
return false
}*/
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//左移
for i := 1; i < len(t.eq); i++ {
t.eq[i-1] = t.eq[i]
}
//存入队尾
t.eq[len(t.eq)-1] = curExpect
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return true
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}
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func (t *BaliseDetector) clearExpectedBalise() {
//
t.eqLock.Lock()
defer t.eqLock.Unlock()
//
for i := 0; i < len(t.eq); i++ {
t.eq[i] = nil
}
}
func (t *BaliseDetector) doScan() *BtmAntennaScanningBaliseInfo {
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//
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t.eqLock.Lock()
defer t.eqLock.Unlock()
//
var rt *BtmAntennaScanningBaliseInfo
for i := 0; i < len(t.eq); i++ {
if t.eq[i] != nil && !t.eq[i].active {
rt = t.eq[i]
t.eq[i].active = true
break
}
}
return rt
}
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// 计算列车在当前运行状态下,预测到最近一个应答器的时刻
func (t *BaliseDetector) timeScanNearestBalise(curTime time.Time, wd *component.WorldData, repo *repository.Repository, ba *BtmAntennaRunningInfo) *BtmAntennaScanningBaliseInfo {
expectedBalise := t.findBaliseWillScanByBtmAntenna(wd, repo, ba)
if expectedBalise != nil {
curV := float64(ba.Speed)
curAc := float64(ba.Acceleration)
s := float64(expectedBalise.Distance) / 1000
st, ok := t.calculateBtmAntennaScanNextBaliseTime(curTime, curV, curAc, s)
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if ok {
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return &BtmAntennaScanningBaliseInfo{BaliseId: expectedBalise.BaliseId, Time: st, Distance: expectedBalise.Distance, BaliseType: expectedBalise.BaliseType}
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}
}
return nil
}
// 预测BTM天线到运行方向的最近应答器的时刻
// curV-当前时刻BTM天线速度,m/s
// curAc-当前时刻BTM天线加速度,m/s^2
// s-BTM天线从当前时刻所处位置到运行方向最近一个应答器的位移,m
func (t *BaliseDetector) calculateBtmAntennaScanNextBaliseTime(curTime time.Time, curV float64, curAc float64, s float64) (time.Time, bool) {
a := 0.5 * curAc
b := curV
c := -s
//nt 单位秒
nt, ok := t.calculateQuadratic(a, b, c)
if ok {
return curTime.Add(time.Millisecond * time.Duration(nt*1000)), true
}
return curTime, false
}
// 获取车载BTM天线中心点运行方向最近的1个应答器
func (t *BaliseDetector) findBaliseWillScanByBtmAntenna(wd *component.WorldData, repo *repository.Repository, ba *BtmAntennaRunningInfo) *BtmAntennaToBaliseInfo {
//BTM天线中心点所在轨道
baLink := repo.FindLink(ba.LinkId)
rs1 := t.searchBalisesFromLinkPosition(repo, ba.LinkId, ba.Up, ba.LinkOffset)
if ba.Up {
if len(rs1) > 0 {
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rs := rs1[0]
return &BtmAntennaToBaliseInfo{BaliseId: rs.Id(), Distance: rs.LinkPosition().Offset() - ba.LinkOffset, BaliseType: rs.BaliseType()}
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} else {
nextLinkPort := t.getNextLink(wd, repo, ba.LinkId, ba.Up)
if nextLinkPort != nil {
if nextLinkPort.IsPortA() {
rs2 := t.searchBalisesFromLinkPosition(repo, nextLinkPort.Link().Id(), true, 0)
if len(rs2) > 0 {
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rs := rs2[0]
return &BtmAntennaToBaliseInfo{BaliseId: rs.Id(), Distance: baLink.Length() - ba.LinkOffset + rs.LinkPosition().Offset(), BaliseType: rs.BaliseType()}
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}
} else {
rs2 := t.searchBalisesFromLinkPosition(repo, nextLinkPort.Link().Id(), false, nextLinkPort.Link().Length())
if len(rs2) > 0 {
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rs := rs2[0]
return &BtmAntennaToBaliseInfo{BaliseId: rs.Id(), Distance: baLink.Length() - ba.LinkOffset + nextLinkPort.Link().Length() - rs.LinkPosition().Offset(), BaliseType: rs.BaliseType()}
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}
}
}
}
} else {
if len(rs1) > 0 {
return &BtmAntennaToBaliseInfo{BaliseId: rs1[0].Id(), Distance: ba.LinkOffset - rs1[0].LinkPosition().Offset()}
} else {
nextLinkPort := t.getNextLink(wd, repo, ba.LinkId, ba.Up)
if nextLinkPort != nil {
if nextLinkPort.IsPortA() {
rs2 := t.searchBalisesFromLinkPosition(repo, nextLinkPort.Link().Id(), true, 0)
if len(rs2) > 0 {
return &BtmAntennaToBaliseInfo{BaliseId: rs2[0].Id(), Distance: ba.LinkOffset + rs2[0].LinkPosition().Offset()}
}
} else {
rs2 := t.searchBalisesFromLinkPosition(repo, nextLinkPort.Link().Id(), false, nextLinkPort.Link().Length())
if len(rs2) > 0 {
return &BtmAntennaToBaliseInfo{BaliseId: rs2[0].Id(), Distance: ba.LinkOffset + nextLinkPort.Link().Length() - rs2[0].LinkPosition().Offset()}
}
}
}
}
}
return nil
}
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func (t *BaliseDetector) searchBalisesFromBetweenLinkPosition(repo *repository.Repository, up bool, linkId string, fromOffset int64, toOffset int64) []*repository.Transponder {
rs := repo.ResponderListByLink(linkId)
balises := make([]*repository.Transponder, 0)
if up {
sort.SliceStable(rs, func(i, j int) bool {
return rs[i].LinkPosition().Offset() < rs[j].LinkPosition().Offset()
})
for _, r := range rs {
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if r.LinkPosition().Offset() >= fromOffset && r.LinkPosition().Offset() <= toOffset {
//slog.Info(fmt.Sprintf("up id:%v,offset:%v,from:%v,to:%v", r.Id(), r.LinkPosition().Offset(), fromOffset, toOffset))
balises = append(balises, r)
}
}
} else {
sort.SliceStable(rs, func(i, j int) bool {
return rs[j].LinkPosition().Offset() < rs[i].LinkPosition().Offset()
})
for _, r := range rs {
if r.LinkPosition().Offset() <= toOffset {
cha := int64(math.Abs(float64(toOffset - fromOffset)))
cha2 := int64(math.Abs(float64(toOffset - r.LinkPosition().Offset())))
if cha2 <= cha {
balises = append(balises, r)
}
}
}
}
return balises
}
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// up-在轨道上的搜索方向
func (t *BaliseDetector) searchBalisesFromLinkPosition(repo *repository.Repository, linkId string, up bool, fromOffset int64) []*repository.Transponder {
rs := repo.ResponderListByLink(linkId)
if up {
sort.SliceStable(rs, func(i, j int) bool {
return rs[i].LinkPosition().Offset() < rs[j].LinkPosition().Offset()
})
//
for i, r := range rs {
if r.LinkPosition().Offset() >= fromOffset {
return rs[i:]
}
}
} else {
sort.SliceStable(rs, func(i, j int) bool {
return rs[j].LinkPosition().Offset() < rs[i].LinkPosition().Offset()
})
for i, r := range rs {
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//slog.Info(fmt.Sprintf("id:%v,offset:%v,from:%v", r.Id(), r.LinkPosition().Offset(), fromOffset))
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if r.LinkPosition().Offset() <= fromOffset {
return rs[i:]
}
}
}
return nil
}
// 列车车头端点运行信息转换为车载BTM天线中心点运行信息
func (t *BaliseDetector) createBtmAntennaRunningInfo(wd *component.WorldData, repo *repository.Repository, head *TrainHeadPositionInfo) *BtmAntennaRunningInfo {
headLink := repo.FindLink(head.Link)
if head.Up {
if head.LinkOffset >= BtmAntennaOffsetHead { //车头与BTM天线在同一个轨道上
return &BtmAntennaRunningInfo{Up: head.Up, LinkId: head.Link, LinkOffset: head.LinkOffset - BtmAntennaOffsetHead, Speed: head.Speed, Acceleration: head.Acceleration}
} else { //车头与BTM天线在同一个轨道上
nextLinkPort := t.getNextLink(wd, repo, head.Link, !head.Up)
nextLink := nextLinkPort.Link()
if nextLinkPort.IsPortA() {
return &BtmAntennaRunningInfo{Up: false, LinkId: nextLink.Id(), LinkOffset: BtmAntennaOffsetHead - head.LinkOffset, Speed: head.Speed, Acceleration: head.Acceleration}
} else {
return &BtmAntennaRunningInfo{Up: true, LinkId: nextLink.Id(), LinkOffset: nextLink.Length() - (BtmAntennaOffsetHead - head.LinkOffset), Speed: head.Speed, Acceleration: head.Acceleration}
}
}
} else {
if headLink.Length()-head.LinkOffset >= BtmAntennaOffsetHead { //车头与BTM天线在同一个轨道上
return &BtmAntennaRunningInfo{Up: head.Up, LinkId: head.Link, LinkOffset: head.LinkOffset + BtmAntennaOffsetHead, Speed: head.Speed, Acceleration: head.Acceleration}
} else {
nextLinkPort := t.getNextLink(wd, repo, head.Link, !head.Up)
nextLink := nextLinkPort.Link()
if nextLinkPort.IsPortA() {
return &BtmAntennaRunningInfo{Up: false, LinkId: nextLink.Id(), LinkOffset: BtmAntennaOffsetHead - headLink.Length() + head.LinkOffset, Speed: head.Speed, Acceleration: head.Acceleration}
} else {
return &BtmAntennaRunningInfo{Up: true, LinkId: nextLink.Id(), LinkOffset: nextLink.Length() - (BtmAntennaOffsetHead - headLink.Length() + head.LinkOffset), Speed: head.Speed, Acceleration: head.Acceleration}
}
}
}
}
func (t *BaliseDetector) getNextLink(wd *component.WorldData, repo *repository.Repository, curLinkId string, searchDirection bool) *repository.LinkPort {
var nextLinkPort *repository.LinkPort
curLink := repo.FindLink(curLinkId)
if searchDirection {
bDc := curLink.BRelation()
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if bDc == nil || bDc.Turnout() == nil {
return nil
}
//
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bDcDw := t.turnoutPosition(wd, bDc.Turnout().Id())
switch bDc.Port() {
case proto.Port_A: //link-b连接turnout-A
if bDcDw {
nextLinkPort = bDc.Turnout().FindLinkByPort(proto.Port_B)
} else {
nextLinkPort = bDc.Turnout().FindLinkByPort(proto.Port_C)
}
case proto.Port_B: //link-b连接turnout-B
fallthrough
case proto.Port_C: //link-b连接turnout-C
nextLinkPort = bDc.Turnout().FindLinkByPort(proto.Port_A)
}
} else {
aDc := curLink.ARelation()
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if aDc == nil || aDc.Turnout() == nil {
return nil
}
//
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aDcDw := t.turnoutPosition(wd, aDc.Turnout().Id())
switch aDc.Port() {
case proto.Port_A: //link-a连接turnout-A
if aDcDw {
nextLinkPort = aDc.Turnout().FindLinkByPort(proto.Port_B)
} else {
nextLinkPort = aDc.Turnout().FindLinkByPort(proto.Port_C)
}
case proto.Port_B: //link-a连接turnout-B
fallthrough
case proto.Port_C: //link-a连接turnout-C
nextLinkPort = aDc.Turnout().FindLinkByPort(proto.Port_A)
}
}
//
return nextLinkPort
}
// 获取道岔实际位置(线程不安全)
func (t *BaliseDetector) turnoutPosition(wd *component.WorldData, id string) bool {
entry, ok := wd.EntityMap[id]
if ok {
return component.TurnoutPositionType.Get(entry).Dw
} else {
panic(fmt.Sprintf("道岔[%s]的实体不存在", id))
}
}
// 解 ax²+bx+c=0
func (t *BaliseDetector) calculateQuadratic(a, b, c float64) (float64, bool) {
//D=b²-4ac
d := b*b - 4*a*c
if d < 0 {
return 0, false
} else if d == 0 { //若D=0则计算它的重根x=-b/2a
return -(b / (2 * a)), true
} else { //若D>0则计算它的两个根x1=(-b+√D)/2ax2=(-b-√D)/2a
sqrtD := math.Sqrt(d)
ax2 := 2 * a
//选择正直输出
x1 := (-b + sqrtD) / ax2
x2 := (-b - sqrtD) / ax2
if x1 >= 0 && x2 >= 0 {
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//panic("x1 >= 0 && x2 >= 0")
return 0, false
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}
if x1 >= 0 {
return x1, true
}
if x2 >= 0 {
return x2, true
}
}
return 0, false
}