Deviation Trend Profile indicator

1. Introduction

The Deviation Trend Profile indicator, developed by BigBeluga, merges trend analysis via a simple moving average (SMA) with a distribution profile based on ATR-scaled deviations. Its purpose is to highlight trend changes and zones of high or low price concentration, offering a visual map of volatility accumulation since the last market inflection.

2. What Is Deviation Trend Profile?

Deviation Trend Profile is a dual-purpose tool:

Trend: Plots an SMA whose color reflects momentum, and marks the exact bars where bullish or bearish turns begin.
Volatility & Distribution: Overlays six deviation lines (±1, ±2, ±3 ATR multiples) around the SMA, and generates a side histogram showing how many closes have fallen into each of a configurable number of bins between the maximum and minimum deviation levels.

This hybrid approach makes it easy to see when price deviates significantly from its mean and how those deviations are distributed over time.

3. How It Works

3.1. Calculation of SMA and ATR

SMA: Simple moving average of closes over a user-set period (smaLength, default 50).
ATR: 200-bar Average True Range, serving as the volatility baseline for scaling deviations.

3.2. Standard Deviation Levels

Six horizontal lines are drawn around the SMA:

Positive levels:
- +1 = SMA + ATR × mult1
- +2 = SMA + ATR × mult2
- +3 = SMA + ATR × mult3
Negative levels:
- –1 = SMA – ATR × mult1
- –2 = SMA – ATR × mult2
- –3 = SMA – ATR × mult3

These lines help distinguish “normal” price territory (±1 ATR) from stronger expansion zones (±2 and ±3 ATR).

3.3. Trend Change Detection

The indicator computes a normalized momentum:

A cross above +0.1 signals the start of a bullish trend; a cross below –0.1 signals the start of a bearish trend.

Each turn is marked with a point on the SMA.

4. Deep Dive into the Distribution Profile (Histogram)

This advanced feature works as follows:

Initialize bins
Create an array $bin of length bins (default 50), filled with zeros.
Populate bins with closes
For each bar since the last trend change (startIndex):
- Compute the dynamic range: profileRange = maxDev − minDev.
- Compute each bin’s width: step = profileRange / bins.
- Determine which bin a close c falls into by comparing it against lower = minDev + step × i and upper = lower + step, then increment $bin[i].
Determine color scaling
Find maxVal, the highest frequency among all bins. This value is used to set each rectangle’s transparency proportionally (val / maxVal).
Draw rectangles
- Position the histogram to the right by profileOffset bars.
- For each bin with val > 0, draw a rectangle from upper down to lower, with width proportional to val, filled semi-transparently in the current trend color.

The result is a lateral histogram showing price-close concentration since the last turn, highlighting potential dynamic support/resistance zones.

5. Parameter Configuration

Parameter	Description	Default
`smaLength`	Period of the simple moving average	50
`mult1`	ATR multiplier for ±1 deviation	1
`mult2`	ATR multiplier for ±2 deviation	2
`mult3`	ATR multiplier for ±3 deviation	3
`showTp`	Show distribution profile (1 = yes, 0 = no)	1
`bins`	Number of histogram bins	50
`profileOffset`	Horizontal offset (bars) for the histogram	30
`colUpR/G/B`	RGB channels for bullish trend color	18/209/235
`colDnR/G/B`	RGB channels for bearish trend color	250/40/86

6. Default Values and Recommendations

SMA (50) & ATR (200): a balanced medium-term setting.
Deviations 1–3: distinguish consolidation (±1) from strong expansions (±2, ±3).
Bins (50): balance detail and performance; reduce to 30–40 for faster charts, or increase to 70–100 for finer analysis.
Offset (30 bars): keeps the profile clear of price action; adjust to fit your chart width.
Colors: customize to match your template, ensuring good contrast against candles and other studies.

7. ProBuilder Code

defparam drawonlastbaronly=true
//---------------------------------------------//
//PRC_Deviation Trend Profile [BigBeluga]
//version = 0
//05.07.24
//Iván González @ www.prorealcode.com
//Sharing ProRealTime knowledge
//---------------------------------------------//
//---------------------------------------------//
// INPUTS - VARIABLE CONFIGURATION
//---------------------------------------------//

// >> SMA and Deviation Parameters
smaLength = 50 // SMA Length
mult1 = 1 // Standart Deviation 1
mult2 = 2 // Standart Deviation 2
mult3 = 3 // Standart Deviation 3

// >> Distribution Profile Parameters
showTp = 1
bins = 50
profileOffset = 30

// >> Theme Colors
colUpR = 18
colUpG = 209
colUpB = 235

colDnR = 250
colDnG = 40
colDnB = 86

//---------------------------------------------//
// PERSISTENT VARIABLES
//---------------------------------------------//
ONCE startIndex = -1
ONCE trend = 0

//---------------------------------------------//
// MAIN CALCULATIONS
//---------------------------------------------//

// --- Moving Average and Volatility
avg = Average[smaLength](close)
atr = AverageTrueRange[200]

// --- Deviation Levels using ATR
stdv1 = avg + atr * mult1
stdv2 = avg + atr * mult2
stdv3 = avg + atr * mult3

stdv1m = avg - atr * mult1
stdv2m = avg - atr * mult2
stdv3m = avg - atr * mult3

maxDev = stdv3
minDev = stdv3m

// --- Trend Detection
avgDiff = avg - avg[5]

IF atr > 0 THEN
avgCol = avgDiff / atr
ELSE
avgCol = 0
ENDIF

// --- Trend Change Logic
IF avgCol CROSSES OVER 0.1 AND trend <> 1 THEN
trend = 1
startIndex = barindex
ENDIF

IF avgCol CROSSES UNDER -0.1 AND trend <> -1 THEN
trend = -1
startIndex = barindex
ENDIF

// --- SMA Color Based on Momentum
r = 128
g = 128
b = 128

IF avgDiff > 0 THEN
r = colUpR
g = colUpG
b = colUpB
ELSE
r = colDnR
g = colDnG
b = colDnB
ENDIF

//---------------------------------------------//
// DRAWING LOGIC
//---------------------------------------------//

IF IsLastBarUpdate THEN
   
// Draw deviation lines and labels
// Nivel +1
DRAWSEGMENT(barindex, stdv1, barindex + 5, stdv1) COLOURED(200,200,200)
DRAWTEXT("+1", barindex + 6, stdv1)
   
// Nivel +2
DRAWSEGMENT(barindex, stdv2, barindex + 5, stdv2) COLOURED(200,200,200)
DRAWTEXT("+2", barindex + 6, stdv2)
   
// Nivel +3
DRAWSEGMENT(barindex, stdv3, barindex + 5, stdv3) COLOURED(200,200,200)
DRAWTEXT("+3", barindex + 6, stdv3)
   
// Nivel -1
DRAWSEGMENT(barindex, stdv1m, barindex + 5, stdv1m) COLOURED(200,200,200)
DRAWTEXT("-1", barindex + 6, stdv1m)
   
// Nivel -2
DRAWSEGMENT(barindex, stdv2m, barindex + 5, stdv2m) COLOURED(200,200,200)
DRAWTEXT("-2", barindex + 6, stdv2m)
   
// Nivel -3
DRAWSEGMENT(barindex, stdv3m, barindex + 5, stdv3m) COLOURED(200,200,200)
DRAWTEXT("-3", barindex + 6, stdv3m)
   
// Draw central SMA line
DRAWSEGMENT(barindex, avg, barindex + 5, avg) COLOURED(r, g, b) STYLE(Line, 2)
   
// --- Distribution Profile Logic
IF showTp = 1 AND startIndex > -1 THEN
      
UNSET($bin)
      
loockback = barindex - startIndex
      

IF loockback > 0 THEN
         
profileRange = maxDev - minDev
step = profileRange / bins
         
FOR k = 0 TO bins - 1 DO
$bin[k] = 0
NEXT
         
FOR l = 0 TO loockback - 1 DO
c = close[l]
mi = minDev[l]
s = (maxDev[l] - mi) / bins
            
IF s > 0 THEN
for i=0 to bins-1 do
lower=mi+s*i
upper=lower+s
if c>=lower-s and c<=upper+s then
$bin[i]=$bin[i]+1
endif
next
ENDIF
NEXT
         
maxVal = 0
FOR m = 0 TO bins - 1 DO
IF $bin[m] > maxVal THEN
maxVal = $bin[m]
ENDIF
NEXT
         
profileStart = barindex + profileOffset
         
FOR j = 0 TO bins - 1 DO
val = $bin[j]
            
IF val > 0 THEN
lower = minDev + step * j
upper = lower + step
               
DRAWRECTANGLE(profileStart - val, upper, profileStart, lower) COLOURED(r, g, b, 50) BORDERCOLOR(r,g,b,150)
ENDIF
NEXT
ENDIF
ENDIF

for i=0 to barindex do
// Draw SMA and trend-change points on all bars
IF trend[i] = 1 AND trend[i+1] <> 1 THEN
drawpoint(barindex[i], avg[i],3) COLOURED(colUpR, colUpG, colUpB)
drawpoint(barindex[i], avg[i],5) COLOURED(colUpR, colUpG, colUpB,30)
ENDIF

IF trend[i] = -1 AND trend[i+1] <> -1 THEN
drawpoint(barindex[i], avg[i],3) COLOURED(colDnR, colDnG, colDnB)
drawpoint(barindex[i], avg[i],5) COLOURED(colDnR, colDnG, colDnB,30)
ENDIF
next
ENDIF

//---------------------------------------------//
RETURN avg COLOURED(r, g, b) STYLE(Line, 3) AS "SMA Trend"

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defparam drawonlastbaronly=true

//---------------------------------------------//

//PRC_Deviation Trend Profile [BigBeluga]

//version = 0

//05.07.24

//Iván González @ www.prorealcode.com

//Sharing ProRealTime knowledge

//---------------------------------------------//

// INPUTS - VARIABLE CONFIGURATION

//---------------------------------------------//

// >> SMA and Deviation Parameters

smaLength = 50 // SMA Length

mult1 = 1 // Standart Deviation 1

mult2 = 2 // Standart Deviation 2

mult3 = 3 // Standart Deviation 3

// >> Distribution Profile Parameters

showTp = 1

bins = 50

profileOffset = 30

// >> Theme Colors

colUpR = 18

colUpG = 209

colUpB = 235

colDnR = 250

colDnG = 40

colDnB = 86

//---------------------------------------------//

// PERSISTENT VARIABLES

//---------------------------------------------//

ONCE startIndex = -1

ONCE trend = 0

//---------------------------------------------//

// MAIN CALCULATIONS

//---------------------------------------------//

// --- Moving Average and Volatility

avg = Average[smaLength](close)

atr = AverageTrueRange[200]

// --- Deviation Levels using ATR

stdv1 = avg + atr * mult1

stdv2 = avg + atr * mult2

stdv3 = avg + atr * mult3

stdv1m = avg - atr * mult1

stdv2m = avg - atr * mult2

stdv3m = avg - atr * mult3

maxDev = stdv3

minDev = stdv3m

// --- Trend Detection

avgDiff = avg - avg[5]

IF atr > 0 THEN

avgCol = avgDiff / atr

ELSE

avgCol = 0

ENDIF

// --- Trend Change Logic

IF avgCol CROSSES OVER 0.1 AND trend <> 1 THEN

trend = 1

startIndex = barindex

ENDIF

IF avgCol CROSSES UNDER -0.1 AND trend <> -1 THEN

trend = -1

startIndex = barindex

ENDIF

// --- SMA Color Based on Momentum

r = 128

g = 128

b = 128

IF avgDiff > 0 THEN

r = colUpR

g = colUpG

b = colUpB

ELSE

r = colDnR

g = colDnG

b = colDnB

ENDIF

//---------------------------------------------//

// DRAWING LOGIC

//---------------------------------------------//

IF IsLastBarUpdate THEN

// Draw deviation lines and labels

// Nivel +1

DRAWSEGMENT(barindex, stdv1, barindex + 5, stdv1) COLOURED(200,200,200)

DRAWTEXT("+1", barindex + 6, stdv1)

// Nivel +2

DRAWSEGMENT(barindex, stdv2, barindex + 5, stdv2) COLOURED(200,200,200)

DRAWTEXT("+2", barindex + 6, stdv2)

// Nivel +3

DRAWSEGMENT(barindex, stdv3, barindex + 5, stdv3) COLOURED(200,200,200)

DRAWTEXT("+3", barindex + 6, stdv3)

// Nivel -1

DRAWSEGMENT(barindex, stdv1m, barindex + 5, stdv1m) COLOURED(200,200,200)

DRAWTEXT("-1", barindex + 6, stdv1m)

// Nivel -2

DRAWSEGMENT(barindex, stdv2m, barindex + 5, stdv2m) COLOURED(200,200,200)

DRAWTEXT("-2", barindex + 6, stdv2m)

// Nivel -3

DRAWSEGMENT(barindex, stdv3m, barindex + 5, stdv3m) COLOURED(200,200,200)

DRAWTEXT("-3", barindex + 6, stdv3m)

// Draw central SMA line

DRAWSEGMENT(barindex, avg, barindex + 5, avg) COLOURED(r, g, b) STYLE(Line, 2)

// --- Distribution Profile Logic

IF showTp = 1 AND startIndex > -1 THEN

UNSET($bin)

loockback = barindex - startIndex

IF loockback > 0 THEN

profileRange = maxDev - minDev

step = profileRange / bins

FOR k = 0 TO bins - 1 DO

$bin[k] = 0

FOR l = 0 TO loockback - 1 DO

c = close[l]

mi = minDev[l]

s = (maxDev[l] - mi) / bins

IF s > 0 THEN

for i=0 to bins-1 do

lower=mi+s*i

upper=lower+s

if c>=lower-s and c<=upper+s then

$bin[i]=$bin[i]+1

endif

ENDIF

maxVal = 0

FOR m = 0 TO bins - 1 DO

IF $bin[m] > maxVal THEN

maxVal = $bin[m]

ENDIF

profileStart = barindex + profileOffset

FOR j = 0 TO bins - 1 DO

val = $bin[j]

IF val > 0 THEN

lower = minDev + step * j

upper = lower + step

DRAWRECTANGLE(profileStart - val, upper, profileStart, lower) COLOURED(r, g, b, 50) BORDERCOLOR(r,g,b,150)

ENDIF

for i=0 to barindex do

// Draw SMA and trend-change points on all bars

IF trend[i] = 1 AND trend[i+1] <> 1 THEN

drawpoint(barindex[i], avg[i],3) COLOURED(colUpR, colUpG, colUpB)

drawpoint(barindex[i], avg[i],5) COLOURED(colUpR, colUpG, colUpB,30)

ENDIF

IF trend[i] = -1 AND trend[i+1] <> -1 THEN

drawpoint(barindex[i], avg[i],3) COLOURED(colDnR, colDnG, colDnB)

drawpoint(barindex[i], avg[i],5) COLOURED(colDnR, colDnG, colDnB,30)

ENDIF

//---------------------------------------------//

RETURN avg COLOURED(r, g, b) STYLE(Line, 3) AS "SMA Trend"

ATR sma trend

Risk disclosure:

No information on this site is investment advice or a solicitation to buy or sell any financial instrument. Past performance is not indicative of future results. Trading may expose you to risk of loss greater than your deposits and is only suitable for experienced investors who have sufficient financial means to bear such risk.

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verdi55 Is there such a thing as a free lunch ?

maceng Thanks Nicolas for this great work! I would like to understand the math behind it in order t...

Nicolas Sorry I have no time to provide assistance for python programmers. Have a good day.

Maz Hi all, firstly happy to know that this is helping you. I look into updating it for PRT11 wh...

Nicolas just use 3 times a linear regression channel code you will find in the library.

leederbyshire Here's the link to alternative linear regression channel indicator Nicolas is referring to t...

julien1978 The ADR value that is plotted intraday does not match the value of the regular ATR indicator...

Fab666 I've tried to get a fix for this also but no luck, it doesn't print the correct data as far ...

Seabiscuit Hi! With the new PRT update, this indicator does not work anymore

Wing Yes, investigate as much as you want. For more insight, you can view the linet1, linet2 etc....

CKW Hi Wing, Thanks for your sharing. I am still trying to breakdown & understand your code...

Wing Hello CKW. No, the parameter, 7 in this case, is used when calling the RSI indicator to ide...

Nicolas Je vais faire l'indicateur et expliquer comment en même temps dans un sujet de forum. Plus s...

gregus merci nicolas toute ma gratitude est pour toi sa sera bien pratique car je pense ne pas etre...

Nicolas Ok merci donc d'ouvrir un sujet spécifique pour cette demande donc :)

algotrader This indicator looks coolBut on attempt to use it for a strategy dev'I get an error.."The in...

dajvop @algotrader if you at the bottom of the code add: RETURN Buffer1 as "up", Buffer2 as "down",...

Bateson Si cela peut servir, l'indicateur Sadukey a été créé en utilisant un générateur de filtre ap...

Guibourse Hi ! I am asking once again for your help : would it be possible to use the ATR as a "take p...

Tradingrob Many thanks for the indicator, however if the price is below the indicator, then the indicat...

aldtrading Merci pour ton travail ! J'ai de bons résultats en utilisant cet indicateur

Arnaud HALVICK Great indicator, thank you!

JMat45 Hi Nicolas, just reviewing this indicator and noticed that you have double assigned the vari...

Nicolas That would not make any difference because the code is read from top to bottom.

Nicolas Use the wrench of the price chart! Upper left of the window

Dymjohn The wrench shows options for the components of the indicator not how to show in the main cha...

Nicolas http://www.prorealcode.com/topic/overlapping-indicators/

MikeGC I don't know if you have used the variables a and b to optimise the parameters for the Super...

gianpiero75 I have not optimized, I multiplied the parameters for 6 (5,8), to use them on the 4 hoursTF...

bertrandpinoy bonjour Mike j utilise TrendChaser V2.0 et quand il prend position cela ne programme pas le ...

eisi If i switch between different Markets, the Backgroundcolour will appear where it should not...

datageek How can I get alerts on colour change?

NAMBO40 Hello, I would like to add a 25 period SMA moving average. It's possible?

Fabio Anthony Terrenzio this strategy works only in a well defined trend

brosly Good afternoon I am trying to get the complete code of lex strategy made by adolfo since I s...

dreif123 hi Adolfo, is Alex Auto Trading Botindex working on DAX as well ? if so , can you post the...

Doctrading I forgot to write at the beginning : a = 50 b = 50 These are intermediate levels Sorry

DerPat Thank you. This one could be an aid in my current research on stochastics.

Pelayo it is possible that in line 12 we should put seuilinf=-b, thaks for all

GraHal Hi Nicolas I like this and would like to understand it fully so please forgive the (maybe) d...

Nicolas Hi GraHal, the Factor parameter is only a multiplier of the ATR that is added or subtracted ...

GraHal Nicolas, thank you for your useful and informative response. Yes I optimise using ProBackte...

GraHal Hi Nicolas Britains .itf file didn't work for me ... I had to change h to hh at line 13 and...

Nicolas Thank you GraHal for pointing this error, i have corrected the code in the file. The code in...

PeterClothier Hi, I downloaded this indicator and imported it. I tried adding it to a chart , and it hasn'...

Nicolas Don't add it on the price, so just don't use the price setting to add the indicator.

PeterClothier Thanks

1. Introduction

2. What Is Deviation Trend Profile?

3. How It Works

3.1. Calculation of SMA and ATR

3.2. Standard Deviation Levels

3.3. Trend Change Detection

4. Deep Dive into the Distribution Profile (Histogram)

5. Parameter Configuration

6. Default Values and Recommendations

7. ProBuilder Code

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