Stratégie combinée de renversement de dynamique et de moyenne mobile


Date de création: 2023-11-24 10:23:36 Dernière modification: 2023-11-24 10:23:36
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Stratégie combinée de renversement de dynamique et de moyenne mobile

Aperçu

Cette stratégie utilise plusieurs indices de la moyenne en combinaison pour identifier la tendance. Plus précisément, cette stratégie utilise à la fois un groupe de moyenne rapide et un groupe de moyenne lente, le groupe de moyenne rapide est composé d’une EMA de 5 jours et une WMA de 25 jours, et le groupe de moyenne lente est composé d’une EMA de 28 jours et une WMA de 72 jours.

Principe de stratégie

  1. Utilisation de la double ligne d’équilibre pour déterminer la direction de la tendance
    • Combinaison moyenne rapide: 5 jours EMA, 25 jours WMA
    • Combinaison de la ligne moyenne lente: 28 jours EMA, 72 jours WMA
    • Lorsque la moyenne rapide traverse la moyenne lente, un signal d’achat est généré.
    • Lorsque la ligne moyenne rapide traverse la ligne moyenne lente, un signal de vente est généré
  2. L’indicateur RSI aide à déterminer le moment d’acheter ou de vendre
    • RSI bas: un signal d’achat est généré lorsque le RSI est inférieur à 35
    • Le RSI est à la hausse et le RSI est à la baisse. Le RSI est à la hausse et le RSI à la baisse.
  3. Utilisation de mécanismes de suivi des tendances, y compris les arrêts mobiles et les arrêts mobiles
    • Stop-loss mobile: pour suivre les prix les plus élevés et les plus bas afin de prévenir l’expansion des pertes
    • Arrêt mobile: suivi des prix les plus élevés et les plus bas, arrêt en temps opportun

Analyse des avantages

  1. L’utilisation d’une ligne moyenne double pour juger de la tendance, la combinaison de la ligne moyenne rapide et lente permet d’identifier efficacement les points de basculement de la tendance
  2. L’aide au jugement de l’indicateur RSI peut éviter que la courbe n’affiche un faux signal
  3. Le stop loss mobile permet de contrôler efficacement les pertes de chaque transaction déficitaire
  4. Le dispositif mobile anti-retour permet de bloquer les bénéfices et d’éviter le retour des bénéfices

Analyse des risques

  1. Les jugements en double équilibre sont plus susceptibles d’échouer et de donner de faux signaux.
  2. Les paramètres RSI mal réglés peuvent vous faire manquer une opportunité de trading
  3. Le seuil de stop loss est trop élevé et peut entraîner des pertes inutiles.
  4. La marge de freinage est trop faible et pourrait entraîner une réduction des bénéfices

Direction d’optimisation

  1. Les paramètres de la moyenne rapide et de la moyenne lente peuvent être optimisés pour trouver la meilleure combinaison de paramètres
  2. Les paramètres du RSI peuvent également être optimisés pour trouver de meilleures lignes de survente
  3. Tester différentes amplitudes de stop-loss pour trouver le point d’équilibre entre minimiser les pertes et éviter les signaux virtuels
  4. Essayez de vous adapter à la stratégie de stop-loss pour que la marge de stop-loss s’ajuste automatiquement aux fluctuations du marché

Résumer

Cette stratégie permet de capturer et de suivre les tendances en utilisant la direction de la tendance de la ligne de parité, l’indicateur RSI pour aider à déterminer le moment de la tendance et la méthode mobile de stop-loss. Les meilleurs résultats peuvent être obtenus en optimisant les paramètres de la ligne de parité et du RSI ainsi que les paramètres de stop-loss.

Code source de la stratégie
/*backtest
start: 2023-11-16 00:00:00
end: 2023-11-23 00:00:00
period: 3m
basePeriod: 1m
exchanges: [{"eid":"Futures_Binance","currency":"BTC_USDT"}]
*/

//@version=3
strategy(title="[WAI GUA]", shorttitle="[EOS] 1.0", overlay=false )

//study(title="[WAI GUA]", shorttitle="[EOS] 1.0", overlay=true)



//
// Use Alternate Anchor TF for MAs 
uRenko    = input(true, title="IS This a RENKO Chart")
//
anchor     = input(0,minval=0,maxval=1440,title="Alternate TimeFrame Multiplier (0=none)")
//
src          = close //input(close, title="EMA Source")
showRibbons  = input(false,title="Show Coloured MA Ribbons")
showAvgs     = input(false,title="Show Ribbon Median MA Lines")

//
// Fast Ribbon MAs
// Lower MA - type, length
typeF1    = input(defval="EMA", title="FAST MA Ribbon Type: ", options=["SMA", "EMA", "WMA", "VWMA", "SMMA", "DEMA", "TEMA", "LAGMA", "HullMA", "ZEMA", "TMA", "SSMA"])
lenF1     = input(defval=5, title="FAST Ribbon Lower MA Length", minval=1)
gammaF1   = 0.33 //input(defval=0.33,title="Fast MA - Gamma for LAGMA")

// Upper MA - type, length
typeF11   = typeF1 //input(defval="WMA", title="FAST Ribbon Upper MA Type: ", options=["SMA", "EMA", "WMA", "VWMA", "SMMA", "DEMA", "TEMA", "LAGMA", "HullMA", "ZEMA", "TMA", "SSMA"])
lenF11    = input(defval=25, title="FAST Ribbon Upper Length", minval=2)
gammaF11  = 0.77 //input(defval=0.77,title="Slow MA - Gamma for LAGMA")

// Slow Ribbon MAs
// Lower MA - type, length
typeS1   = input(defval="EMA", title="SLOW MA Ribbon Type: ", options=["SMA", "EMA", "WMA", "VWMA", "SMMA", "DEMA", "TEMA", "LAGMA", "HullMA", "ZEMA", "TMA", "SSMA"])
lenS1    = input(defval=28, title="SLOW Ribbon Lower MA Length", minval=1)
gammaS1  = 0.33 //input(defval=0.33,title="Fast MA - Gamma for LAGMA")

// Upper MA - type, length
typeS16   = typeS1 //input(defval="WMA", title="SLOW Ribbon Upper MA Type: ", options=["SMA", "EMA", "WMA", "VWMA", "SMMA", "DEMA", "TEMA", "LAGMA", "HullMA", "ZEMA", "TMA", "SSMA"])
lenS16    = input(defval=72, title="SLOW Ribbon Upper Length", minval=2)
gammaS16  = 0.77 //input(defval=0.77,title="Slow MA - Gamma for LAGMA")

// - Constants
gold = #FFD700

// - FUNCTIONS
// - variant(type, src, len, gamma)
// 返回MA输入选择变量,默认为SMA,如果空白或键入。

// SuperSmoother filter
variant_supersmoother(src,len) =>
    a1 = exp(-1.414*3.14159 / len)
    b1 = 2*a1*cos(1.414*3.14159 / len)
    c2 = b1
    c3 = (-a1)*a1
    c1 = 1 - c2 - c3
    v9 = 0.0
    v9 := c1*(src + nz(src[1])) / 2 + c2*nz(v9[1]) + c3*nz(v9[2])
    v9
    
variant_smoothed(src,len) =>
    v5 = 0.0
    v5 := na(v5[1]) ? sma(src, len) : (v5[1] * (len - 1) + src) / len
    v5

variant_zerolagema(src,len) =>
    ema1 = ema(src, len)
    ema2 = ema(ema1, len)
    v10 = ema1+(ema1-ema2)
    v10
    
variant_doubleema(src,len) =>
    v2 = ema(src, len)
    v6 = 2 * v2 - ema(v2, len)
    v6

variant_tripleema(src,len) =>
    v2 = ema(src, len)
    v7 = 3 * (v2 - ema(v2, len)) + ema(ema(v2, len), len)               // Triple Exponential
    v7
    
//calc Laguerre
variant_lag(p,g) =>
    L0 = 0.0
    L1 = 0.0
    L2 = 0.0
    L3 = 0.0
    L0 := (1 - g)*p+g*nz(L0[1])
    L1 := -g*L0+nz(L0[1])+g*nz(L1[1])
    L2 := -g*L1+nz(L1[1])+g*nz(L2[1])
    L3 := -g*L2+nz(L2[1])+g*nz(L3[1])
    f = (L0 + 2*L1 + 2*L2 + L3)/6
    f

// return variant, defaults to SMA 
variant(type, src, len, g) =>
    type=="EMA"     ? ema(src,len) : 
      type=="WMA"   ? wma(src,len): 
      type=="VWMA"  ? vwma(src,len) : 
      type=="SMMA"  ? variant_smoothed(src,len) : 
      type=="DEMA"  ? variant_doubleema(src,len): 
      type=="TEMA"  ? variant_tripleema(src,len): 
      type=="LAGMA" ? variant_lag(src,g) :
      type=="HullMA"? wma(2 * wma(src, len / 2) - wma(src, len), round(sqrt(len))) :
      type=="SSMA"  ? variant_supersmoother(src,len) : 
      type=="ZEMA"  ? variant_zerolagema(src,len) : 
      type=="TMA"   ? sma(sma(src,len),len) : 
                      sma(src,len)

// - /variant 

// If have anchor specified, calculate the base multiplier.
//mult  = isintraday ? anchor==0 or interval<=0 or interval>=anchor or anchor>1440? 1 : round(anchor/interval) : 1
//mult := isdwm?  1 : mult  // Only available Daily or less
mult = anchor>0 ? anchor : 1 

//
high_  = uRenko? max(close,open) : high
low_   = uRenko? min(close,open) : low


//用锚乘器调整MA长度

//Fast MA Ribbon
emaF1 = variant(typeF1, src, lenF1*mult, gammaF1)
emaF11 = variant(typeF11, src, lenF11*mult,gammaF11)
emafast = (emaF1+emaF11)/2 // Average of Upper and Lower MAs
//
//Slow MA Ribbon
emaS1 = variant(typeS1,src, lenS1*mult,gammaS1)
emaS16 = variant(typeS16, src, lenS16*mult, gammaS16)
emaslow = (emaS1+emaS16)/2 // Average of Upper and Lower MAs
//
// Count crossover candles
xup = 0
xdn = 0
fup = 0
fdn = 0
sup = 0
sdn = 0
// 
xup := (emafast-emaslow)>0 and (emafast-emaslow)>(emafast[1]-emaslow[1]) ? nz(xup[1])+1 : 0
xdn := (emafast-emaslow)<0 and (emafast-emaslow)<(emafast[1]-emaslow[1]) ? nz(xdn[1])+1 : 0
fup := (emaF1-emaF11)>0 and (emaF1-emaF11)>(emaF1[1]-emaF11[1]) ? nz(fup[1])+1 : 0
fdn := (emaF1-emaF11)<0 and (emaF1-emaF11)<(emaF1[1]-emaF11[1]) ? nz(fdn[1])+1 : 0
sup := (emaS1-emaS16)>0 and (emaS1-emaS16)>(emaS1[1]-emaS16[1]) ? nz(sup[1])+1 : 0
sdn := (emaS1-emaS16)<0 and (emaS1-emaS16)<(emaS1[1]-emaS16[1]) ? nz(sdn[1])+1 : 0

//Fast EMA Final Color Rules
colFinal = fup>=2 ? aqua : fdn>=2 ? blue : gray
//Slow EMA Final Color Rules
colFinal2 = sup>=2 ? lime : sdn>=2 ? red : gray

//Fast EMA Plots
p1=plot(showRibbons?emaF1:na, title="Fast Ribbon Lower MA", style=line, linewidth=1, color=colFinal,transp=10)
p2=plot(showRibbons?emaF11:na, title="Fast Ribbon Upper MA", style=line, linewidth=1, color=colFinal,transp=10)
plot(showAvgs?emafast:na, title="Fast Ribbon Avg MA", style=circles,join=true, linewidth=1, color=gold,transp=10)

//
//fill(p1,p2,color=colFinal, transp=90)

//Slow EMA Plots
p3=plot(showRibbons?emaS1:na, title="Slow Ribbon Lower MA", style=line, linewidth=1, color=colFinal2,transp=10)
p4=plot(showRibbons?emaS16:na, title="Slow Ribbon Upper MA", style=line, linewidth=1, color=colFinal2,transp=10)
plot(showAvgs?emaslow:na, title="Slow Ribbon Avg MA", style=circles,join=true, linewidth=1, color=fuchsia,transp=10)
//
//fill(p3,p4, color=colFinal2, transp=90)

// Generate Buy Sell signals, 
buy = 0
sell=0
//
buy  := xup>=2 and sup>=2 and fup>=2 ? nz(buy[1])>0?buy[1]+1  :1 : 0
sell := xdn>=2 and sdn>=2 and fdn>=2 ? nz(sell[1])>0?sell[1]+1 :1 : 0

////////////////////////
//* 反测试周期选择器 *//
////////////////////////

testStartYear = input(2018, "Backtest Start Year",minval=1980)
testStartMonth = input(1, "Backtest Start Month",minval=1,maxval=12)
testStartDay = input(1, "Backtest Start Day",minval=1,maxval=31)
testPeriodStart = timestamp(testStartYear,testStartMonth,testStartDay,0,0)

testStopYear = 9999 //input(9999, "Backtest Stop Year",minval=1980)
testStopMonth = 12 // input(12, "Backtest Stop Month",minval=1,maxval=12)
testStopDay = 31 //input(31, "Backtest Stop Day",minval=1,maxval=31)
testPeriodStop = timestamp(testStopYear,testStopMonth,testStopDay,0,0)

testPeriod() => time >= testPeriodStart and time <= testPeriodStop ? true : false


///////////////
//* RSI策略 *//
///////////////

//指示器 1
lowerpc = lowest(low, 21)
upperpc = highest(high, 21)
midpc = avg(upperpc, lowerpc)

//指示器 2
ma = sma(close, 50)
petd = ema(close,13)
rangema = ema(tr, 50)
upperkc = ma + rangema * 0.25
lowerkc = ma - rangema * 0.25

//指示器 3
up = rma(max(change(close), 0), 5)
down = rma(-min(change(close), 0), 5)
rsi = down == 0 ? 100 : up == 0 ? 0 : 100 - (100 / (1 + up / down))

// PET-D
petdcolor = close > petd ? green : red
barcolor (petdcolor)


//Slope
SlopeL = midpc > midpc[5]
SlopeS = midpc < midpc[5]

//条件
CL = SlopeL == 1 and close > lowerkc and close < midpc and rsi < 35 
CS = SlopeS == 1 and close < upperkc and close > midpc and rsi > 65 

//Setup
RsiSL = CL == 1 and CL[1] != 1
RsiSS = CS == 1 and CS[1] != 1

/////////////////////
//* RSA抛物线指标 *//
/////////////////////
start = input(0.02)
increment = input(0.02)
maximum = input(0.2)

psar = sar(start, increment, maximum)

RSALE = false
RSASE = false
if (psar > high)
    RSALE = true
else
    RSALE = false

if (psar < low)
    RSASE = true
else
    RSASE = false


////////////////
//* 策略组件 *//
////////////////

AQUA = #00FFFFFF
BLUE = #0000FFFF
RED  = #FF0000FF
LIME = #00FF00FF
GRAY = #808080FF
DARKRED   = #8B0000FF
DARKGREEN = #006400FF
//
fastExit  = input(false,title="Use Opposite Trade as a Close Signal")
clrBars   = input(true,title="Colour Candles to Trade Order state")
orderType = input("Longs+Shorts",title="What type of Orders", options=["Longs+Shorts","LongsOnly","ShortsOnly","Flip"])
//
isLong   = (orderType != "ShortsOnly")
isShort  = (orderType != "LongsOnly")

//////////////////////////
//* 贸易状态引擎 *//
//////////////////////////

// 追踪当前贸易状态
longClose = false, longClose := nz(longClose[1],false)
shortClose = false, shortClose := nz(shortClose[1],false)
tradeState = 0, tradeState := nz(tradeState[1])
tradeState := tradeState==0 ?   buy==1 and (barstate.isconfirmed or barstate.ishistory) and isLong and not longClose and not shortClose? 1 :
                               sell==1  and (barstate.isconfirmed or barstate.ishistory) and isShort and not longClose and not shortClose? -1 : 
                          tradeState : tradeState
                          
////////////////////////////////////
//* 在这里设置入口和特殊出口条件 *//
////////////////////////////////////

//进入状态,当状态改变方向时。
longCondition  = false
shortCondition = false
//longCondition  := longCondition != true ? change(tradeState) and tradeState==1 : true
//shortCondition := shortCondition != true ? change(tradeState) and tradeState==-1 : true
longCondition  := change(tradeState) and tradeState==1
shortCondition := change(tradeState) and tradeState==-1
if orderType=="Flip"
    temp = longCondition
    longCondition  := shortCondition
    shortCondition := temp
//end if

// 卖出信号退出
longExitC  =  (emafast[1]<emaslow[1] and open<emaslow[1]) ? 1 : 0
shortExitC = (emafast[1]>emaslow[1] and open>emaslow[1]) ? 1 : 0

// change退出条件。
longExit = change(longExitC) and longExitC==1 and tradeState==1
shortExit = change(shortExitC) and shortExitC==1 and tradeState==-1

// -- debugs
//plotchar(tradeState,"tradeState at Event",location=location.bottom, color=#FF0000FF)
//plotchar(longCondition, title="longCondition",color=#FF0000FF)
//plotchar(shortCondition, title="shortCondition",color=#FF0000FF)
//plotchar(tradeState, title="tradeState",color=#006400FF)
// -- /debugs

////////////////////////////////
//======[ 交易入门价格 ]======//
////////////////////////////////

last_open_longCondition = na
last_open_shortCondition = na
last_open_longCondition := longCondition ? close : nz(last_open_longCondition[1])
last_open_shortCondition := shortCondition ? close : nz(last_open_shortCondition[1])

////////////////////////////
//======[ 位置状态 ]======//
////////////////////////////

in_longCondition  = tradeState == 1 
in_shortCondition = tradeState == -1

////////////////////////
//======[ 尾停 ]======//
////////////////////////

isTS = input(true, "Trailing Stop")
ts = input(3.0, "Trailing Stop (%)", minval=0,step=0.1, type=float) /100

last_high = na
last_low = na
last_high_short = na
last_low_long = na
last_high := not in_longCondition ? na : in_longCondition and (na(last_high[1]) or high_ > nz(last_high[1])) ? high_ : nz(last_high[1])
last_high_short := not in_shortCondition ? na : in_shortCondition and (na(last_high[1]) or high_ > nz(last_high[1])) ? high_ : nz(last_high[1])
last_low := not in_shortCondition ? na : in_shortCondition and (na(last_low[1]) or low_ < nz(last_low[1])) ? low_ : nz(last_low[1])
last_low_long := not in_longCondition ? na : in_longCondition and (na(last_low[1]) or low_ < nz(last_low[1])) ? low_ : nz(last_low[1])

long_ts =  isTS and in_longCondition and not na(last_high) and (low_ <= last_high - last_high * ts) //and (last_high >= last_open_longCondition + last_open_longCondition * tsi)
short_ts = isTS and in_shortCondition and not na(last_low) and (high_ >= last_low + last_low * ts) //and (last_low <= last_open_shortCondition - last_open_shortCondition * tsi)


////////////////////////
//======[ 获利 ]======//
////////////////////////

isTP = input(true, "Take Profit")
tp = input(3.0, "Take Profit (%)",minval=0,step=0.1,type=float) / 100
ttp = input(1.0, "Trailing Profit (%)",minval=0,step=0.1,type=float) / 100
ttp := ttp>tp ? tp : ttp

long_tp =  isTP and in_longCondition  and (last_high >= last_open_longCondition + last_open_longCondition * tp)   and (low_ <= last_high - last_high * ttp)
short_tp = isTP and in_shortCondition and (last_low <= last_open_shortCondition - last_open_shortCondition * tp) and (high_ >= last_low + last_low * ttp)

////////////////////////////
//======[ 停止损耗 ]======//
////////////////////////////

isSL = input(false, "Stop Loss")
sl = input(3.0, "Stop Loss (%)", minval=0,step=0.1, type=float) / 100
long_sl =  isSL and in_longCondition and (low_ <= last_open_longCondition - last_open_longCondition * sl)
short_sl = isSL and in_shortCondition and (high_ >= last_open_shortCondition + last_open_shortCondition * sl)

////////////////////////
//======[ 对峙 ]======//
////////////////////////

//注:短出口信号不重漆,无需用力,如果锥体继续进行。
long_sos = (fastExit or (not isTS and not isSL)) and longExit and in_longCondition
short_sos = (fastExit or (not isTS and not isSL)) and shortExit and in_shortCondition 

////////////////////////////
//======[ 关闭信号 ]======//
////////////////////////////

// 为所有不同的关闭条件创建一个单独的关闭,这里的所有条件都不重漆。
longClose :=  isLong and (long_tp or long_sl or long_ts or long_sos) and not longCondition
shortClose := isShort and (short_tp or short_sl or short_ts or short_sos) and not shortCondition
////////////////////////////
//======[ 情节色彩 ]======//
////////////////////////////

longCloseCol = na
shortCloseCol = na
longCloseCol := long_tp ? green : long_sl ? maroon : long_ts ? purple : long_sos ? orange :longCloseCol[1]
shortCloseCol := short_tp ? green : short_sl ? maroon : short_ts ? purple : short_sos ? orange : shortCloseCol[1]
//
tpColor = isTP and in_longCondition ? lime : isTP and in_shortCondition ? lime : na
slColor = isSL and in_longCondition ? red : isSL and in_shortCondition ? red : na


//////////////////////////////////
//======[ 策略图 ]======//
//////////////////////////////////

plot(isTS and in_longCondition?
     last_high - last_high * ts : na, "Long Trailing", fuchsia, style=2, linewidth=2,offset=1)
plot(isTP and in_longCondition and last_high < last_open_longCondition + last_open_longCondition * tp ? 
     last_open_longCondition + last_open_longCondition * tp : na, "Long TP Active", tpColor, style=3,join=false, linewidth=2,offset=1)
plot(isTP and in_longCondition and last_high >= last_open_longCondition +  last_open_longCondition * tp ? 
     last_high - last_high * ttp : na, "Long Trailing", black, style=2, linewidth=2,offset=1)
plot(isSL and in_longCondition and last_low_long > last_open_longCondition - last_open_longCondition * sl ? 
     last_open_longCondition - last_open_longCondition * sl : na, "Long SL", slColor, style=3,join=false, linewidth=2,offset=1)

plot(isTS and in_shortCondition?
     last_low + last_low * ts : na, "Short Trailing", fuchsia, style=2, linewidth=2,offset=1)
plot(isTP and in_shortCondition and last_low > last_open_shortCondition - last_open_shortCondition * tp ? 
     last_open_shortCondition - last_open_shortCondition * tp : na, "Short TP Active", tpColor, style=3,join=false, linewidth=2,offset=1)
plot(isTP and in_shortCondition and last_low <= last_open_shortCondition -  last_open_shortCondition * tp ? 
     last_low + last_low * ttp : na, "Short Trailing", black, style=2, linewidth=2,offset=1)
plot(isSL and in_shortCondition and last_high_short < last_open_shortCondition + last_open_shortCondition * sl ? 
     last_open_shortCondition + last_open_shortCondition * sl : na, "Short SL", slColor, style=3,join=false, linewidth=2,offset=1)

bclr = not clrBars ? na : tradeState==0 ? GRAY : 
                          in_longCondition ? close<last_open_longCondition? DARKGREEN : LIME :
                          in_shortCondition ? close>last_open_shortCondition? DARKRED : RED : GRAY
barcolor(bclr,title="Trade State Bar Colouring")


//////////////////////////////////
//======[ 战略进入与退出 ]======//
//////////////////////////////////

if testPeriod() and isLong
    strategy.entry("Long", 1, when=longCondition)
    strategy.close("Long", when=longClose )

if testPeriod() and isShort
    strategy.entry("Short", 0,  when=shortCondition)
    strategy.close("Short", when=shortClose )
    
// --- Debugs
//plotchar(longExit,title="longExit",location=location.bottom,color=na)
//plotchar(longCondition,title="longCondition",location=location.bottom,color=na)
//plotchar(in_longCondition,title="in_longCondition",location=location.bottom,color=na)
//plotchar(longClose,title="longClose",location=location.bottom,color=na,color=na)
//plotchar(buy,title="buy",location=location.bottom,color=na)
// --- /Debugs
//开单时改变背景
bgcolor( in_longCondition ? lime : na, transp=90)
bgcolor( in_shortCondition ? red : na, transp=90)

////////////////////////////
//======[ 重置变量 ]======//
////////////////////////////


if longClose or not in_longCondition
    last_high := na
    last_high_short := na
    
if shortClose or not in_shortCondition
    last_low := na
    last_low_long := na
    
if longClose or shortClose
    tradeState := 0
    in_longCondition := false
    in_shortCondition := false

    
//plotchar(tradeState,"tradeState at EOF",location=location.bottom, color=na)
// EOF