Moving Averages With Continuous Periods [macp]This script reimagines traditional moving averages by introducing floating-point period calculations, allowing for fractional lengths rather than being constrained to whole numbers. At its core, it provides SMA, WMA, and HMA variants that can work with any decimal length, which proves especially valuable when creating dynamic indicators or fine-tuning existing strategies.
The most significant improvement lies in the Hull Moving Average implementation. By properly handling floating-point mathematics throughout the calculation chain, this version reduces the overshoot tendencies that often plague integer-based HMAs. The result is a more responsive yet controlled indicator that better captures price action without excessive whipsaw.
The visual aspect incorporates a trend gradient system that can adapt to different trading styles. Rather than using fixed coloring, it offers several modes ranging from simple solid colors to more nuanced three-tone gradients that help identify trend transitions. These gradients are normalized against ATR to provide context-aware visual feedback about trend strength.
From a practical standpoint, the floating-point approach eliminates the subtle discontinuities that occur when integer-based moving averages switch periods. This makes the indicator particularly useful in systems where the MA period itself is calculated from market conditions, as it can smoothly transition between different lengths without artificial jumps.
At the heart of this implementation lies the concept of continuous weights rather than discrete summation. Traditional moving averages treat each period as a distinct unit with integer indexing. However, when we move to floating-point periods, we need to consider how fractional periods should behave. This leads us to some interesting mathematical considerations.
Consider the Weighted Moving Average kernel. The weight function is fundamentally a slope: -x + length where x represents the position in the averaging window. The normalization constant is calculated by integrating (in our discrete case, summing) this slope across the window. What makes this implementation special is how it handles the fractional component - when the length isn't a whole number, the final period gets weighted proportionally to its fractional part.
For the Hull Moving Average, the mathematics become particularly intriguing. The standard HMA formula HMA = WMA(2*WMA(price, n/2) - WMA(price, n), sqrt(n)) is preserved, but now each WMA calculation operates in continuous space. This creates a smoother cascade of weights that better preserves the original intent of the Hull design - to reduce lag while maintaining smoothness.
The Simple Moving Average's treatment of fractional periods is perhaps the most elegant. For a length like 9.7, it weights the first 9 periods fully and the 10th period at 0.7 of its value. This creates a natural transition between integer periods that traditional implementations miss entirely.
The Gradient Mathematics
The trend gradient system employs normalized angular calculations to determine color transitions. By taking the arctangent of price changes normalized by ATR, we create a bounded space between 0 and 1 that represents trend intensity. The formula (arctan(Δprice/ATR) + 90°)/180° maps trend angles to this normalized space, allowing for smooth color transitions that respect market volatility context.
This mathematical framework creates a more theoretically sound foundation for moving averages, one that better reflects the continuous nature of price movement in financial markets. The implementation recognizes that time in markets isn't truly discrete - our sampling might be, but the underlying process we're trying to measure is continuous. By allowing for fractional periods, we're creating a better approximation of this continuous reality.
This floating-point moving average implementation offers tangible benefits for traders and analysts who need precise control over their indicators. The ability to fine-tune periods and create smooth transitions makes it particularly valuable for automated systems where moving average lengths are dynamically calculated from market conditions. The Hull Moving Average calculation now accurately reflects its mathematical formula while maintaining responsiveness, making it a practical choice for both systematic and discretionary trading approaches. Whether you're building dynamic indicators, optimizing existing strategies, or simply want more precise control over your moving averages, this implementation provides the mathematical foundation to do so effectively.
Color
ToClrToStrContains functions for conversion of color to string and vice versa:
method toClr( string this ) - converts string reperesentation of color (in hex format) to color
method toHex( color this ) - converts color to string (hex form)
method toRgb( color this ) - converts color to string ("rgb(11,11,11,0)" form)
Thanks to @ImmortalFreedom for his `color_tostring()` function from "RGB Color Fiddler"
Triple EMA Distance IndicatorTriple EMA Distance Indicator
The Triple EMA Distance indicator comprises two sets of triple exponential moving averages (EMAs). One set uses the same smoothing length for all EMAs, while the other set doubles the length for the last EMA. This indicator provides visual cues based on the relationship between these EMAs and candlestick patterns.
Blue Condition:
Indicates when the fast EMA is above the slow EMA.
The distance between the two EMAs is increasing.
Candlesticks and EMAs are colored light blue.
Orange Condition:
Activates when the fast EMA is below the slow EMA.
The distance between the two EMAs is increasing.
Candlesticks and EMAs are colored orange.
Beige Condition:
Occurs when the fast EMA is below the slow EMA.
The distance between the two EMAs is decreasing.
Candlesticks and EMAs are colored beige.
Light Blue Condition:
Represents when the fast EMA is above the slow EMA.
The distance between the two EMAs is decreasing.
Candlesticks and EMAs are colored light blue.
Material Design ColorsThis library provides a standard set of colors defined in Material Design 2.0.
🔵 API
Step 1: Import this library.
import algotraderdev/material/1
// remember to check the latest version of this library and replace the 1 above.
Step 2: Get the color you like. Check the source code or the screenshot above to see all the supported colors.
material.red()
Each color function (except for `black()` and `white()`) accepts an optional `variant` parameter. You can choose any of 50, 100, 200, 300, 400, 500, 600, 700, 800, and 900. By default, 500 is chosen if this parameter is not provided.
Gradient Value Overlay
This script helps with identifying certain conditions without cluttering too much of the candles.
Some use cases:
It helps identify rsi low and high values.
Directional price movement becoming difficult.
low and high volume.
it uses a percent rank to distinguish low and high values.
It then uses a gradient to match the percentile rank to heatmap type colors.
i.e. dark blue for lowest volume, white for highest volume.
Current options are:
max bars to use.
approximate color - This value will attempt to give an approximation of what the color might be for the candle close.
e.g. If you're on the 1-hour chart, and only 30 minutes have past, it will multiple the current volume by 1.5. As time passes, if no volume comes in eventually, it will multiply current volume by 1.
This approximate value is only set to work with volume-based options.
option - select the type of value you'd like to see the gradient for.
timeframe - get values from a different chart timeframe.
on/off - turns the gradient on or off.
Gradient type - color wheel or heatmap. Currently these are the only two gardient options.
color wheel's colors for low to high values:
color wheel's current colors:
dark blue
purple
pink
red
orange
yellow
green
teal
white
heatmap's current colors from low values to high values:
dark blue
purple
pink
red
orange
yellow
white
reverse gradient - will reverse the colors so dark blue will be the high value and white will be the low value. Some charts based on previous data; you might need to switch the gradient colors.
moving average length while inside timeframe - an exponential moving average is applied to the values. At 1, there is no moving average applied.
Use case for this is to smooth out the gradient.
An example use case - if your currently on the 1-hour chart, you can set the timeframe to 1 minute and then the moving average length inside timeframe to 60. You will then be seeing the color sixty 1-minute bars.
current timeframe moving average length - an exponential moving average applied to current gradient (helps with smoothing gradient).
Smooth, further smooths values.
There is no set rule for what moving average lengths to use. Adjust timeframe, and moving average lengths to get an insight.
Contrast Color LibraryThis lightweight library provides a utility method that analyzes any provided background color and automatically chooses the optimal black or white foreground color to ensure maximum visual contrast and readability.
🟠 Algorithm
The library utilizes the HSP Color Model to calculate the brightness of the background color. The formula for this calculation is as follows:
brightness = sqrt(0.299 * R^2 + 0.587 * G^2 + 0.114 * B^2 )
The library chooses black as the foreground color if the brightness exceeds the threshold (default 0.5), and white otherwise.
TICK Strength Background ShadeThis indicator shades the background of each candle based on the strength off the current TICK.US chart. User can define the strength levels, which are by default set to 1-299 (lightest), 300-599, and 600+ (darkest). Best used on lower timeframe charts to help identify whether or not to remain in a trend, or if a trend is possibly reversing when you start to see the opposite color begin to appear following a trend.
Plot background depending on Index EMA 10 and EMA 20This indicator gives the user an easy way to check the conditions of the market.
Up market should be good for breakout traders.
Down market should be good for breakdown shortsellers
The others should be good for pullback buyers.
This script automaticlly check which index should be used for the depending on which ticker is view. If no match is found indicator will use IXIC as reference.
The script works for Nordic and US stocks.
"OMXSPI"
"OBX"
"OMXSPI"
"OMXHPI"
"OMXCPI"
"IXIC"
It then alculated the EMA10 and EMA20 for the index and plots the background depending on 6 differnet conditions.
EMA10 below EMA20 and EMA10 and EMA20 is sloping down. //Down market
EMA10 above EMA20 and EMA10 and EMA20 is sloping up. //Up market
EMA10 below EMA20 and EMA10 sloping up and EMA20 is sloping down. //First indication by market to move up
EMA10 above EMA20 and EMA10 sloping down and EMA20 is sloping up. //First indication by market to move down
EMA10 below EMA20 and EMA10 sloping up and EMA20 is sloping up. //Possible MA cross over
EMA10 below EMA20 and EMA10 sloping down and EMA20 is sloping down. //Possible MA cross over
lib_colorLibrary "lib_color"
offset_mono(original, offset, transparency)
get offset color
Parameters:
original (simple color) : original color
offset (float) : offset for new color
transparency (float) : transparency for new color
Returns: offset color
lib_colorsLibrary "lib_colors"
offset_mono(original, offset, transparency)
get offset color
Parameters:
original (simple color) : original color
offset (float) : offset for new color
transparency (float) : transparency for new color
Returns: offset color
RGB Color Codes Chart█ OVERVIEW
This indicator is an educational indicator to make pine coders easier to input color code.
Color code displayed either in hex or rgb code or both.
█ INSPIRATIONS
RGB Color Codes Chart
Table Color For Pairing Black And White
█ FEATURES
Hover table cell to see all properties of color such as Hex code and RGB code via tooltip.
Cell can be show either Full, HEX, RGB, R, G, B or na.
█ LIMITATION
This code does not consider usage of color.new()
█ CONSIDERATION
Code consideration to be used such as color.r(), color.g(), color.b() and color.rgb()
█ EXAMPLE OF USAGE / EXPLAINATION
Volume Candlesticks [cajole]
This script lets you create the equivalent of "volume candlesticks" in TradingView.
"Volume candlesticks" normally vary their width according to the bar's volume. This script varies COLOUR instead of WIDTH.
Bar charts are also supported.
Candles/Bars are coloured by their distance from the average volume. You can also add a "huge volume" colour to further highlight the most extremely-high volume bars.
Note that volume is extrapolated for incomplete bars by default. So, if the average volume of the past 10 days is 5M shares, and 5M shares trade in the first 10% of today's session, that bar will be coloured as though 50M shares have traded. Set the "Extrapolate" option to 1.0 to disable this.
For this script to work properly, you should set TradingView's default candle/bar colours to be at least 20% transparent. By default, TradingView tends to overlay its own bars on top of indicators.
Nerdy details:
The script works best on a dark background, because it is easier to change the hue of white bars than of black bars. If you find a set of colours that work for white backgrounds, please comment with them!
The geometric mean is used instead of the arithmetic mean, to keep the 'average' from being strongly influenced by spikes. Bars are
then coloured by assuming a normal probability distribution and highlighting outliers. (This means that the first high-volume bars are coloured differently to later ones.)
toolsLibrary "tools"
A library of many helper methods, plus a comprehensive print method and a printer object.
This is a newer version of the helpers library. This script uses pinescripts v5 latest objects and methods.
Ignition Cha Cha ChaIgnition Cha Cha Cha (ICCC) is a 3 color coded moving average indicator which numerically quantify the angle of their trends. I have labeled them as fast, medium and slow. The trend colors are Green for bullish, Red for bearish and Grey for sideways. The sideways movement can be user defined for all 3 in the settings under Threshold. If you regard for example anything under 10º as sideways then place 10 in the corresponding threshold and any angle under 10º will give a grey moving average and a grey labeled text. I use this chart in several ways. If you don't want moving averages all over your Chartistic Masterpiece you can turn off the plots and leave the numeric angles which will give you an overview of the trend. Conversely if you want to make the ultimate trend chart you can setup a 4 chart layout, Weekly, Daily, 12 hour and 4 hour and add the indicator with 200/50/25 moving averages and look for confluence. I find the best way for this is turn off the candles and use the moving averages with the numeric labels. You also have the ability to turn off and on different aspects of the indicator so that there is good control over its look. Also I have given the indicator lots of Alert presets for all 3 of the moving averages so you can avoid demented screen-stairing. Please forgive the name, my mother made me do Ballroom dancing lessons as a kid.
Colorize Large Candles// I have written a Pine Script to re-paint large candles in a different Color.
// You can set the value that you want to use to define what is 'Large', and the script will re-paint any candle whose size is equal to or greater than your value.
// The number can be an integer (8) or a decimal (7.5).
// You can enable the size measurement to be done in one of two ways: 1) either on the Body (Open-to-Close); 2) or on the Wicks (High-to-Low) of the candle.
// The color of the re-painted candle can be set independently for Up and for Down candles. You can also set any Opacity that you want for these candles.
// I usually set the limit for the Visibility to the Second- and Minute-timeframes, as the Script produces too many Colorized Bars when using the Hour- or Day- timeframes.
ColorUtility for working with colors.
Get the luminosity of a color and determine the optimal (black or white) foreground color.
HSV and HSL gradient Tools ( Built-in Drop-in replacement )Library "hsvColor"
HSV and HSL Gradient Tool Alternatives and helpers. Demo'd is built-in in the middle with HSL/HSV gradients on top/bottom
TODO: Solve for #000000 issue
rgbhsv(_col)
RGB Color to HSV Values
Parameters:
_col : Color input (#abc012 or color.name or color.rgb(0,0,0,0))
Returns: values
rgbhsv(_r, _g, _b, _t)
RGB Color to HSV Values
Parameters:
_r : Red 0 - 255
_g : Green 0 - 255
_b : Blue 0 - 255
_t : Transp 0 - 100
Returns: values
hsv(_h, _s, _v, _a)
HSV colors, Auto fix if past boundaries
Parameters:
_h : Hue Input (-360 - 360) or further
_s : Saturation 0.- 1.
_v : Value 0.- 1.
_a : Alpha 0.- 1.
Returns: Color output
hue(_col)
returns 0-359 hue on color wheel
Parameters:
_col :
Returns: 360 degree hue value
hsv_gradient(signal, _startVal, _endVal, _startCol, _endCol)
Color Gradient Replacement Function for HSV calculated Gradents
Parameters:
signal : Control signal
_startVal : start color limit
_endVal : end color limit
_startCol : start color
_endCol : end color
Returns: HSV calculated gradient
hsl_gradient(signal, _startVal, _endVal, _startCol, _endCol)
Color Gradient Replacement Function for HSV calculated Gradents
Parameters:
signal : Control signal
_startVal : start color limit
_endVal : end color limit
_startCol : start color
_endCol : end color
Returns: HSV calculated gradient
Consolidation Breakout [Indian Market Timing]OK let's get started ,
A Day Trading (Intraday) Consolidation Breakout Indication Strategy that explains time condition for Indian Markets .
The commission is also included in the strategy .
The basic idea is ,
1) Price crosses above upper band , indicated by a color change (green) is the Long condition .
2) Price crosses below lower band , indicated by a color change (red) is the Short condition .
3) ATR is used for trailing after entry
// ═══════════════════════════════//
// ————————> TIME CONDITION <————————— //
// ═══════════════════════════════//
The Indian Markets open at 9:15am and closes at 3:30pm.
The time_condition specifies the time at which Entries should happen .
"Close All" function closes all the trades at 2:57pm.
All open trades get closed at 2:57pm , because some brokers dont allow you to place fresh intraday orders after 3pm.
NSE:NIFTY1!
// ═══════════════════════════════════════════════ //
// ————————> BACKTEST RESULTS ( 114 CLOSED TRADES )<————————— //
// ═══════════════════════════════════════════════ //
LENGTH , MULT (factor) and ATR can be changed for better backtest results.
The strategy applied to NIFTY (3 min Time-Frame and contract size 5) gives us 60% profitability , as shown below
It was tested for a period a 8 months with a Profit Factor of 2.2 , avg Trade of 6000Rs profit and Sharpe Ratio : 0.67
The graph has a Linear Curve with consistent profits.
NSE:NIFTY1!
Save it favorites.
Apply it to your charts Now !!
Thank me later ;)
RSI mid partition color changeWhen RSI is above 50 our default bias is on buy side and when below 50 our bias is on sell side.
Therefore created 2 zones for easy identification.
Intraday Background Time RangesThis simple script was written for studying recurring intraday behaviours of financial instruments. With it, you can highlight up to 13 customizable time ranges on your chart, filling the corresponding background space with colors you prefer. You can then write a note for each range and it will be shown in the optional related table.
The experience shows that every financial instrument has its own personality. With this in mind, the script can be useful to study intraday charts with the purpose of discovering recurring behaviours of specific instruments over a certain time range and under specific circumstances (normal days, earnings days, days with catalysts, etc.) This can help the trader to deeply understand the instrument personality, and therefore also to decide whether to enter or exit the market if its behaviour meets or not his expectations.
Please note that this script only works on minute/hourly charts.
Background ZonesThis script provides up to 5 zones to apply background colors. This is especially useful for applying to indices such as USI:TICK , USI:ADD , and USI:VOLD , where certain levels provides significant meaning to market sentiment and directions. This script will give you the visual cue to help with your trading.
All levels and colors are fully customizable.
Enjoy~!!
Example:
Color Library: Rainbow Index & Simplest Return ColorLibrary "Color Library!"
To help with large projects that need colors!
If you guys make the library bigger, share it so we can all have tons of colors!
2 Functions
Uppercase and Lowercase, because why not?
import library as color
1.) color.this("Brown") // or color.this("brown") both work
2.) color.rainbow(1) //Returns first index of Rainbow
this(x)
TODO: color.this(Brown)
Parameters:
x : TODO: String Color Name
Returns: TODO: Color
rainbow(x)
TODO: Return Rainbow Index
Parameters:
x : TODO: Number is index of Rainbow :)
Returns: TODO: Color
