LibVPrfLibrary "LibVPrf"
This library provides an object-oriented framework for volume
profile analysis in Pine Script®. It is built around the `VProf`
User-Defined Type (UDT), which encapsulates all data, settings,
and statistical metrics for a single profile, enabling stateful
analysis with on-demand calculations.
Key Features:
1. **Object-Oriented Design (UDT):** The library is built around
the `VProf` UDT. This object encapsulates all profile data
and provides methods for its full lifecycle management,
including creation, cloning, clearing, and merging of profiles.
2. **Volume Allocation (`AllotMode`):** Offers two methods for
allocating a bar's volume:
- **Classic:** Assigns the entire bar's volume to the close
price bucket.
- **PDF:** Distributes volume across the bar's range using a
statistical price distribution model from the `LibBrSt` library.
3. **Buy/Sell Volume Splitting (`SplitMode`):** Provides methods
for classifying volume into buying and selling pressure:
- **Classic:** Classifies volume based on the bar's color (Close vs. Open).
- **Dynamic:** A specific model that analyzes candle structure
(body vs. wicks) and a short-term trend factor to
estimate the buy/sell share at each price level.
4. **Statistical Analysis (On-Demand):** Offers a suite of
statistical metrics calculated using a "Lazy Evaluation"
pattern (computed only when requested via `get...` methods):
- **Central Tendency:** Point of Control (POC), VWAP, and Median.
- **Dispersion:** Value Area (VA) and Population Standard Deviation.
- **Shape:** Skewness and Excess Kurtosis.
- **Delta:** Cumulative Volume Delta, including its
historical high/low watermarks.
5. **Structural Analysis:** Includes a parameter-free method
(`getSegments`) to decompose a profile into its fundamental
unimodal segments, allowing for modality detection (e.g.,
identifying bimodal profiles).
6. **Dynamic Profile Management:**
- **Auto-Fitting:** Profiles set to `dynamic = true` will
automatically expand their price range to fit new data.
- **Manipulation:** The resolution, price range, and Value Area
of a dynamic profile can be changed at any time. This
triggers a resampling process that uses a **linear
interpolation model** to re-bucket existing volume.
- **Assumption:** Non-dynamic profiles are fixed and will throw
a `runtime.error` if `addBar` is called with data
outside their initial range.
7. **Bucket-Level Access:** Provides getter methods for direct
iteration and analysis of the raw buy/sell volume and price
boundaries of each individual price bucket.
---
**DISCLAIMER**
This library is provided "AS IS" and for informational and
educational purposes only. It does not constitute financial,
investment, or trading advice.
The author assumes no liability for any errors, inaccuracies,
or omissions in the code. Using this library to build
trading indicators or strategies is entirely at your own risk.
As a developer using this library, you are solely responsible
for the rigorous testing, validation, and performance of any
scripts you create based on these functions. The author shall
not be held liable for any financial losses incurred directly
or indirectly from the use of this library or any scripts
derived from it.
create(buckets, rangeUp, rangeLo, dynamic, valueArea, allot, estimator, cdfSteps, split, trendLen)
Construct a new `VProf` object with fixed bucket count & range.
Parameters:
buckets (int) : series int number of price buckets ≥ 1
rangeUp (float) : series float upper price bound (absolute)
rangeLo (float) : series float lower price bound (absolute)
dynamic (bool) : series bool Flag for dynamic adaption of profile ranges
valueArea (int) : series int Percentage of total volume to include in the Value Area (1..100)
allot (series AllotMode) : series AllotMode Allocation mode `classic` or `pdf` (default `classic`)
estimator (series PriceEst enum from AustrianTradingMachine/LibBrSt/1) : series LibBrSt.PriceEst PDF model when `model == PDF`. (deflault = 'uniform')
cdfSteps (int) : series int even #sub-intervals for Simpson rule (default 20)
split (series SplitMode) : series SplitMode Buy/Sell determination (default `classic`)
trendLen (int) : series int Look‑back bars for trend factor (default 3)
Returns: VProf freshly initialised profile
method clone(self)
Create a deep copy of the volume profile.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object to copy
Returns: VProf A new, independent copy of the profile
method clear(self)
Reset all bucket tallies while keeping configuration intact.
Namespace types: VProf
Parameters:
self (VProf) : VProf profile object
Returns: VProf cleared profile (chaining)
method merge(self, srcABuy, srcASell, srcRangeUp, srcRangeLo, srcCvd, srcCvdHi, srcCvdLo)
Merges volume data from a source profile into the current profile.
If resizing is needed, it performs a high-fidelity re-bucketing of existing
volume using a linear interpolation model inferred from neighboring buckets,
preventing aliasing artifacts and ensuring accurate volume preservation.
Namespace types: VProf
Parameters:
self (VProf) : VProf The target profile object to merge into.
srcABuy (array) : array The source profile's buy volume bucket array.
srcASell (array) : array The source profile's sell volume bucket array.
srcRangeUp (float) : series float The upper price bound of the source profile.
srcRangeLo (float) : series float The lower price bound of the source profile.
srcCvd (float) : series float The final Cumulative Volume Delta (CVD) value of the source profile.
srcCvdHi (float) : series float The historical high-water mark of the CVD from the source profile.
srcCvdLo (float) : series float The historical low-water mark of the CVD from the source profile.
Returns: VProf `self` (chaining), now containing the merged data.
method addBar(self, offset)
Add current bar’s volume to the profile (call once per realtime bar).
classic mode: allocates all volume to the close bucket and classifies
by `close >= open`. PDF mode: distributes volume across buckets by the
estimator’s CDF mass. For `split = dynamic`, the buy/sell share per
price is computed via context-driven piecewise s(u).
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object
offset (int) : series int To offset the calculated bar
Returns: VProf `self` (method chaining)
method setBuckets(self, buckets)
Sets the number of buckets for the volume profile.
Behavior depends on the `isDynamic` flag.
- If `dynamic = true`: Works on filled profiles by re-bucketing to a new resolution.
- If `dynamic = false`: Only works on empty profiles to prevent accidental changes.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object
buckets (int) : series int The new number of buckets
Returns: VProf `self` (chaining)
method setRanges(self, rangeUp, rangeLo)
Sets the price range for the volume profile.
Behavior depends on the `dynamic` flag.
- If `dynamic = true`: Works on filled profiles by re-bucketing existing volume.
- If `dynamic = false`: Only works on empty profiles to prevent accidental changes.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object
rangeUp (float) : series float The new upper price bound
rangeLo (float) : series float The new lower price bound
Returns: VProf `self` (chaining)
method setValueArea(self, valueArea)
Set the percentage of volume for the Value Area. If the value
changes, the profile is finalized again.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object
valueArea (int) : series int The new Value Area percentage (0..100)
Returns: VProf `self` (chaining)
method getBktBuyVol(self, idx)
Get Buy volume of a bucket.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object
idx (int) : series int Bucket index
Returns: series float Buy volume ≥ 0
method getBktSellVol(self, idx)
Get Sell volume of a bucket.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object
idx (int) : series int Bucket index
Returns: series float Sell volume ≥ 0
method getBktBnds(self, idx)
Get Bounds of a bucket.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object
idx (int) : series int Bucket index
Returns:
up series float The upper price bound of the bucket.
lo series float The lower price bound of the bucket.
method getPoc(self)
Get POC information.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object
Returns:
pocIndex series int The index of the Point of Control (POC) bucket.
pocPrice. series float The mid-price of the Point of Control (POC) bucket.
method getVA(self)
Get Value Area (VA) information.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object
Returns:
vaUpIndex series int The index of the upper bound bucket of the Value Area.
vaUpPrice series float The upper price bound of the Value Area.
vaLoIndex series int The index of the lower bound bucket of the Value Area.
vaLoPrice series float The lower price bound of the Value Area.
method getMedian(self)
Get the profile's median price and its bucket index. Calculates the value on-demand if stale.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object.
Returns:
medianIndex series int The index of the bucket containing the Median.
medianPrice series float The Median price of the profile.
method getVwap(self)
Get the profile's VWAP and its bucket index. Calculates the value on-demand if stale.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object.
Returns:
vwapIndex series int The index of the bucket containing the VWAP.
vwapPrice series float The Volume Weighted Average Price of the profile.
method getStdDev(self)
Get the profile's volume-weighted standard deviation. Calculates the value on-demand if stale.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object.
Returns: series float The Standard deviation of the profile.
method getSkewness(self)
Get the profile's skewness. Calculates the value on-demand if stale.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object.
Returns: series float The Skewness of the profile.
method getKurtosis(self)
Get the profile's excess kurtosis. Calculates the value on-demand if stale.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object.
Returns: series float The Kurtosis of the profile.
method getSegments(self)
Get the profile's fundamental unimodal segments. Calculates on-demand if stale.
Uses a parameter-free, pivot-based recursive algorithm.
Namespace types: VProf
Parameters:
self (VProf) : VProf The profile object.
Returns: matrix A 2-column matrix where each row is an pair.
method getCvd(self)
Cumulative Volume Delta (CVD) like metric over all buckets.
Namespace types: VProf
Parameters:
self (VProf) : VProf Profile object.
Returns:
cvd series float The final Cumulative Volume Delta (Total Buy Vol - Total Sell Vol).
cvdHi series float The running high-water mark of the CVD as volume was added.
cvdLo series float The running low-water mark of the CVD as volume was added.
VProf
VProf Bucketed Buy/Sell volume profile plus meta information.
Fields:
buckets (series int) : int Number of price buckets (granularity ≥1)
rangeUp (series float) : float Upper price range (absolute)
rangeLo (series float) : float Lower price range (absolute)
dynamic (series bool) : bool Flag for dynamic adaption of profile ranges
valueArea (series int) : int Percentage of total volume to include in the Value Area (1..100)
allot (series AllotMode) : AllotMode Allocation mode `classic` or `pdf`
estimator (series PriceEst enum from AustrianTradingMachine/LibBrSt/1) : LibBrSt.PriceEst Price density model when `model == PDF`
cdfSteps (series int) : int Simpson integration resolution (even ≥2)
split (series SplitMode) : SplitMode Buy/Sell split strategy per bar
trendLen (series int) : int Look‑back length for trend factor (≥1)
maxBkt (series int) : int User-defined number of buckets (unclamped)
aBuy (array) : array Buy volume per bucket
aSell (array) : array Sell volume per bucket
cvd (series float) : float Final Cumulative Volume Delta (Total Buy Vol - Total Sell Vol).
cvdHi (series float) : float Running high-water mark of the CVD as volume was added.
cvdLo (series float) : float Running low-water mark of the CVD as volume was added.
poc (series int) : int Index of max‑volume bucket (POC). Is `na` until calculated.
vaUp (series int) : int Index of upper Value‑Area bound. Is `na` until calculated.
vaLo (series int) : int Index of lower value‑Area bound. Is `na` until calculated.
median (series float) : float Median price of the volume distribution. Is `na` until calculated.
vwap (series float) : float Profile VWAP (Volume Weighted Average Price). Is `na` until calculated.
stdDev (series float) : float Standard Deviation of volume around the VWAP. Is `na` until calculated.
skewness (series float) : float Skewness of the volume distribution. Is `na` until calculated.
kurtosis (series float) : float Excess Kurtosis of the volume distribution. Is `na` until calculated.
segments (matrix) : matrix A 2-column matrix where each row is an pair. Is `na` until calculated.
Udt
FvgTypes█ OVERVIEW
This library serves as a foundational module for Pine Script™ projects focused on Fair Value Gaps (FVGs). Its primary purpose is to define and centralize custom data structures (User-Defined Types - UDTs) and enumerations that are utilized across various components of an FVG analysis system. By providing standardized types for FVG characteristics and drawing configurations, it promotes code consistency, readability, and easier maintenance within a larger FVG indicator or strategy.
█ CONCEPTS
The library introduces several key data structures (User-Defined Types - UDTs) and an enumeration to organize Fair Value Gap (FVG) related data logically. These types are central to the functioning of FVG analysis tools built upon this library.
Timeframe Categorization (`tfType` Enum)
To manage and differentiate FVGs based on their timeframe of origin, the `tfType` enumeration is defined. It includes:
`LTF`: Low Timeframe (typically the current chart).
`MTF`: Medium Timeframe.
`HTF`: High Timeframe.
This allows for distinct logic and visual settings to be applied depending on the FVG's source timeframe.
FVG Data Encapsulation (`fvgObject` UDT)
The `fvgObject` is a comprehensive UDT designed to encapsulate all pertinent information and state for an individual Fair Value Gap throughout its lifecycle. Instead of listing every field, its conceptual structure can be understood as holding:
Core Definition: The FVG's fundamental price levels (top, bottom) and its formation time (`startTime`).
Classification Attributes: Characteristics such as its direction (`isBullish`) and whether it qualifies as a Large Volume FVG (`isLV`), along with its originating timeframe category (`tfType`).
Lifecycle State: Current status indicators including full mitigation (`isMitigated`, `mitigationTime`), partial fill levels (`currentTop`, `currentBottom`), midline interaction (`isMidlineTouched`), and overall visibility (`isVisible`).
Drawing Identifiers: References (`boxId`, `midLineId`, `mitLineLabelId`, etc.) to the actual graphical objects drawn on the chart to represent the FVG and its components.
Optimization Cache: Previous-bar state values (`prevIsMitigated`, `prevCurrentTop`, etc.) crucial for optimizing drawing updates by avoiding redundant operations.
This comprehensive structure facilitates easy access to all FVG-related information through a single object, reducing code complexity and improving manageability.
Drawing Configuration (`drawSettings` UDT)
The `drawSettings` UDT centralizes all user-configurable parameters that dictate the visual appearance of FVGs across different timeframes. It's typically populated from script inputs and conceptually groups settings for:
General Behavior: Global FVG classification toggles (e.g., `shouldClassifyLV`) and general display rules (e.g., `shouldHideMitigated`).
FVG Type Specific Colors: Colors for standard and Large Volume FVGs, both active and mitigated (e.g., `lvBullColor`, `mitigatedBearBoxColor`).
Timeframe-Specific Visuals (LTF, MTF, HTF): Detailed parameters for each timeframe category, covering FVG boxes (visibility, colors, extension, borders, labels), midlines (visibility, style, color), and mitigation lines (visibility, style, color, labels, persistence after mitigation).
Contextual Information: The current bar's time (`currentTime`) for accurate positioning of time-dependent drawing elements and timeframe display strings (`tfString`, `mtfTfString`, `htfTfString`).
This centralized approach allows for extensive customization of FVG visuals and simplifies the management of drawing parameters within the main script. Such centralization also enhances the maintainability of the visual aspects of the FVG system.
█ NOTES
User-Defined Types (UDTs): This library extensively uses UDTs (`fvgObject`, `drawSettings`) to group related data. This improves code organization and makes it easier to pass complex data between functions and libraries.
Mutability and Reference Behavior of UDTs: When UDT instances are passed to functions or methods in other libraries (like `fvgObjectLib`), those functions might modify the fields of the passed object if they are not explicitly designed to return new instances. This is because UDTs are passed by reference and are mutable in Pine Script™. Users should be aware of this standard behavior to prevent unintended side effects.
Optimization Fields: The `prev_*` fields in `fvgObject` are crucial for performance optimization in the drawing logic. They help avoid unnecessary redrawing of FVG elements if their state or relevant settings haven't changed.
No Direct Drawing Logic: `FvgTypes` itself does not contain any drawing logic. It solely defines the data structures. The actual drawing and manipulation of these objects are handled by other libraries (e.g., `fvgObjectLib`).
Centralized Definitions: By defining these types in a separate library, any changes to the structure of FVG data or settings can be made in one place, ensuring consistency across all dependent scripts and libraries.
█ EXPORTED TYPES
fvgObject
fvgObject Represents a Fair Value Gap (FVG) object.
Fields:
top (series float) : The top price level of the FVG.
bottom (series float) : The bottom price level of the FVG.
startTime (series int) : The start time (timestamp) of the bar where the FVG formed.
isBullish (series bool) : Indicates if the FVG is bullish (true) or bearish (false).
isLV (series bool) : Indicates if the FVG is a Large Volume FVG.
tfType (series tfType) : The timeframe type (LTF, MTF, HTF) to which this FVG belongs.
isMitigated (series bool) : Indicates if the FVG has been fully mitigated.
mitigationTime (series int) : The time (timestamp) when the FVG was mitigated.
isVisible (series bool) : The current visibility status of the FVG, typically managed by drawing logic based on filters.
isMidlineTouched (series bool) : Indicates if the price has touched the FVG's midline (50% level).
currentTop (series float) : The current top level of the FVG after partial fills.
currentBottom (series float) : The current bottom level of the FVG after partial fills.
boxId (series box) : The drawing ID for the main FVG box.
mitigatedBoxId (series box) : The drawing ID for the box representing the partially filled (mitigated) area.
midLineId (series line) : The drawing ID for the FVG's midline.
mitLineId (series line) : The drawing ID for the FVG's mitigation line.
boxLabelId (series label) : The drawing ID for the FVG box label.
mitLineLabelId (series label) : The drawing ID for the mitigation line label.
testedBoxId (series box) : The drawing ID for the box of a fully mitigated (tested) FVG, if kept visible.
keptMitLineId (series line) : The drawing ID for a mitigation line that is kept after full mitigation.
prevIsMitigated (series bool) : Stores the isMitigated state from the previous bar for optimization.
prevCurrentTop (series float) : Stores the currentTop value from the previous bar for optimization.
prevCurrentBottom (series float) : Stores the currentBottom value from the previous bar for optimization.
prevIsVisible (series bool) : Stores the visibility status from the previous bar for optimization (derived from isVisibleNow passed to updateDrawings).
prevIsMidlineTouched (series bool) : Stores the isMidlineTouched status from the previous bar for optimization.
drawSettings
drawSettings A structure containing settings for drawing FVGs.
Fields:
shouldClassifyLV (series bool) : Whether to classify FVGs as Large Volume (LV) based on ATR.
shouldHideMitigated (series bool) : Whether to hide FVG boxes once they are fully mitigated.
currentTime (series int) : The current bar's time, used for extending drawings.
lvBullColor (series color) : Color for Large Volume Bullish FVGs.
mitigatedLvBullColor (series color) : Color for mitigated Large Volume Bullish FVGs.
lvBearColor (series color) : Color for Large Volume Bearish FVGs.
mitigatedLvBearColor (series color) : Color for mitigated Large Volume Bearish FVGs.
shouldShowBoxes (series bool) : Whether to show FVG boxes for the LTF.
bullBoxColor (series color) : Color for LTF Bullish FVG boxes.
mitigatedBullBoxColor (series color) : Color for mitigated LTF Bullish FVG boxes.
bearBoxColor (series color) : Color for LTF Bearish FVG boxes.
mitigatedBearBoxColor (series color) : Color for mitigated LTF Bearish FVG boxes.
boxLengthBars (series int) : Length of LTF FVG boxes in bars (if not extended).
shouldExtendBoxes (series bool) : Whether to extend LTF FVG boxes to the right.
shouldShowCurrentTfBoxLabels (series bool) : Whether to show labels on LTF FVG boxes.
shouldShowBoxBorder (series bool) : Whether to show a border for LTF FVG boxes.
boxBorderWidth (series int) : Border width for LTF FVG boxes.
boxBorderStyle (series string) : Border style for LTF FVG boxes (e.g., line.style_solid).
boxBorderColor (series color) : Border color for LTF FVG boxes.
shouldShowMidpoint (series bool) : Whether to show the midline (50% level) for LTF FVGs.
midLineWidthInput (series int) : Width of the LTF FVG midline.
midpointLineStyleInput (series string) : Style of the LTF FVG midline.
midpointColorInput (series color) : Color of the LTF FVG midline.
shouldShowMitigationLine (series bool) : Whether to show the mitigation line for LTF FVGs.
(Line always extends if shown)
mitLineWidthInput (series int) : Width of the LTF FVG mitigation line.
mitigationLineStyleInput (series string) : Style of the LTF FVG mitigation line.
mitigationLineColorInput (series color) : Color of the LTF FVG mitigation line.
shouldShowCurrentTfMitLineLabels (series bool) : Whether to show labels on LTF FVG mitigation lines.
currentTfMitLineLabelOffsetX (series float) : The horizontal offset value for the LTF mitigation line's label.
shouldKeepMitigatedLines (series bool) : Whether to keep showing mitigation lines of fully mitigated LTF FVGs.
mitigatedMitLineColor (series color) : Color for kept mitigation lines of mitigated LTF FVGs.
tfString (series string) : Display string for the LTF (e.g., "Current TF").
shouldShowMtfBoxes (series bool) : Whether to show FVG boxes for the MTF.
mtfBullBoxColor (series color) : Color for MTF Bullish FVG boxes.
mtfMitigatedBullBoxColor (series color) : Color for mitigated MTF Bullish FVG boxes.
mtfBearBoxColor (series color) : Color for MTF Bearish FVG boxes.
mtfMitigatedBearBoxColor (series color) : Color for mitigated MTF Bearish FVG boxes.
mtfBoxLengthBars (series int) : Length of MTF FVG boxes in bars (if not extended).
shouldExtendMtfBoxes (series bool) : Whether to extend MTF FVG boxes to the right.
shouldShowMtfBoxLabels (series bool) : Whether to show labels on MTF FVG boxes.
shouldShowMtfBoxBorder (series bool) : Whether to show a border for MTF FVG boxes.
mtfBoxBorderWidth (series int) : Border width for MTF FVG boxes.
mtfBoxBorderStyle (series string) : Border style for MTF FVG boxes.
mtfBoxBorderColor (series color) : Border color for MTF FVG boxes.
shouldShowMtfMidpoint (series bool) : Whether to show the midline for MTF FVGs.
mtfMidLineWidthInput (series int) : Width of the MTF FVG midline.
mtfMidpointLineStyleInput (series string) : Style of the MTF FVG midline.
mtfMidpointColorInput (series color) : Color of the MTF FVG midline.
shouldShowMtfMitigationLine (series bool) : Whether to show the mitigation line for MTF FVGs.
(Line always extends if shown)
mtfMitLineWidthInput (series int) : Width of the MTF FVG mitigation line.
mtfMitigationLineStyleInput (series string) : Style of the MTF FVG mitigation line.
mtfMitigationLineColorInput (series color) : Color of the MTF FVG mitigation line.
shouldShowMtfMitLineLabels (series bool) : Whether to show labels on MTF FVG mitigation lines.
mtfMitLineLabelOffsetX (series float) : The horizontal offset value for the MTF mitigation line's label.
shouldKeepMtfMitigatedLines (series bool) : Whether to keep showing mitigation lines of fully mitigated MTF FVGs.
mtfMitigatedMitLineColor (series color) : Color for kept mitigation lines of mitigated MTF FVGs.
mtfTfString (series string) : Display string for the MTF (e.g., "MTF").
shouldShowHtfBoxes (series bool) : Whether to show FVG boxes for the HTF.
htfBullBoxColor (series color) : Color for HTF Bullish FVG boxes.
htfMitigatedBullBoxColor (series color) : Color for mitigated HTF Bullish FVG boxes.
htfBearBoxColor (series color) : Color for HTF Bearish FVG boxes.
htfMitigatedBearBoxColor (series color) : Color for mitigated HTF Bearish FVG boxes.
htfBoxLengthBars (series int) : Length of HTF FVG boxes in bars (if not extended).
shouldExtendHtfBoxes (series bool) : Whether to extend HTF FVG boxes to the right.
shouldShowHtfBoxLabels (series bool) : Whether to show labels on HTF FVG boxes.
shouldShowHtfBoxBorder (series bool) : Whether to show a border for HTF FVG boxes.
htfBoxBorderWidth (series int) : Border width for HTF FVG boxes.
htfBoxBorderStyle (series string) : Border style for HTF FVG boxes.
htfBoxBorderColor (series color) : Border color for HTF FVG boxes.
shouldShowHtfMidpoint (series bool) : Whether to show the midline for HTF FVGs.
htfMidLineWidthInput (series int) : Width of the HTF FVG midline.
htfMidpointLineStyleInput (series string) : Style of the HTF FVG midline.
htfMidpointColorInput (series color) : Color of the HTF FVG midline.
shouldShowHtfMitigationLine (series bool) : Whether to show the mitigation line for HTF FVGs.
(Line always extends if shown)
htfMitLineWidthInput (series int) : Width of the HTF FVG mitigation line.
htfMitigationLineStyleInput (series string) : Style of the HTF FVG mitigation line.
htfMitigationLineColorInput (series color) : Color of the HTF FVG mitigation line.
shouldShowHtfMitLineLabels (series bool) : Whether to show labels on HTF FVG mitigation lines.
htfMitLineLabelOffsetX (series float) : The horizontal offset value for the HTF mitigation line's label.
shouldKeepHtfMitigatedLines (series bool) : Whether to keep showing mitigation lines of fully mitigated HTF FVGs.
htfMitigatedMitLineColor (series color) : Color for kept mitigation lines of mitigated HTF FVGs.
htfTfString (series string) : Display string for the HTF (e.g., "HTF").
TUF_LOGICThe TUF_LOGIC library incorporates three-valued logic (also known as trilean logic) into Pine Script, enabling the representation of states beyond the binary True and False to include an 'Uncertain' state. This addition is particularly apt for financial market contexts where information may not always be black or white, accommodating scenarios of partial or ambiguous data.
Key Features:
Trilean Data Type: Defines a tri type, facilitating the representation of True (1), Uncertain (0), and False (-1) states, thus accommodating a more nuanced approach to logical evaluation.
Validation and Conversion: Includes methods like validate, to ensure trilean variables conform to expected states, and to_bool, for converting trilean to boolean values, enhancing interoperability with binary logic systems.
Core Logical Operations: Extends traditional logical operators (AND, OR, NOT, XOR, EQUALITY) to work within the trilean domain, enabling complex conditionals that reflect real-world uncertainties.
Specialized Logical Operations:
Implication Operators: Features IMP_K (Kleene's), IMP_L (Łukasiewicz's), and IMP_RM3, offering varied approaches to logical implication within the trilean framework.
Possibility, Necessity, and Contingency Operators: Implements MA ("it is possible that..."), LA ("it is necessary that..."), and IA ("it is unknown/contingent that..."), derived from Tarski-Łukasiewicz's modal logic attempts, enriching the library with modal logic capabilities.
Unanimity Functions: The UNANIMOUS operator assesses complete agreement among trilean values, useful for scenarios requiring consensus or uniformity across multiple indicators or conditions.
This library is developed to support scenarios in financial trading and analysis where decisions might hinge on more than binary outcomes. By incorporating modal logic aspects and providing a framework for handling uncertainty through the MA, LA, and IA operations, TUF_LOGIC bridges the gap between classical binary logic and the realities of uncertain information, making it a valuable tool for developing sophisticated trading strategies and analytical models.
Library "TUF_LOGIC"
3VL Implementation (TUF stands for True, Uncertain, False.)
method validate(self)
Ensures a valid trilean variable. This works by clamping the variable to the range associated with the trilean type.
Namespace types: tri
Parameters:
self (tri)
Returns: Validated trilean object.
method to_bool(self)
Converts a trilean object into a boolean object. True -> True, Uncertain -> na, False -> False.
Namespace types: tri
Parameters:
self (tri)
Returns: A boolean variable.
method NOT(self)
Negates the trilean object. True -> False, Uncertain -> Uncertain, False -> True
Namespace types: tri
Parameters:
self (tri)
Returns: Negated trilean object.
method AND(self, comparator)
Logical AND operation for trilean objects.
Namespace types: tri
Parameters:
self (tri) : The first trilean object.
comparator (tri) : The second trilean object to compare with.
Returns: `tri` Result of the AND operation as a trilean object.
method OR(self, comparator)
Logical OR operation for trilean objects.
Namespace types: tri
Parameters:
self (tri) : The first trilean object.
comparator (tri) : The second trilean object to compare with.
Returns: `tri` Result of the OR operation as a trilean object.
method EQUALITY(self, comparator)
Logical EQUALITY operation for trilean objects.
Namespace types: tri
Parameters:
self (tri) : The first trilean object.
comparator (tri) : The second trilean object to compare with.
Returns: `tri` Result of the EQUALITY operation as a trilean object, True if both are equal, False otherwise.
method XOR(self, comparator)
Logical XOR (Exclusive OR) operation for trilean objects.
Namespace types: tri
Parameters:
self (tri) : The first trilean object.
comparator (tri) : The second trilean object to compare with.
Returns: `tri` Result of the XOR operation as a trilean object.
method IMP_K(self, comparator)
Material implication using Kleene's logic for trilean objects.
Namespace types: tri
Parameters:
self (tri) : The antecedent trilean object.
comparator (tri) : The consequent trilean object.
Returns: `tri` Result of the implication operation as a trilean object.
method IMP_L(self, comparator)
Logical implication using Łukasiewicz's logic for trilean objects.
Namespace types: tri
Parameters:
self (tri) : The antecedent trilean object.
comparator (tri) : The consequent trilean object.
Returns: `tri` Result of the implication operation as a trilean object.
method IMP_RM3(self, comparator)
Logical implication using RM3 logic for trilean objects.
Namespace types: tri
Parameters:
self (tri) : The antecedent trilean object.
comparator (tri) : The consequent trilean object.
Returns: `tri` Result of the RM3 implication as a trilean object.
method MA(self)
Evaluates to True if the trilean object is either True or Uncertain, False otherwise.
Namespace types: tri
Parameters:
self (tri) : The trilean object to evaluate.
Returns: `tri` Result of the operation as a trilean object.
method LA(self)
Evaluates to True if the trilean object is True, False otherwise.
Namespace types: tri
Parameters:
self (tri) : The trilean object to evaluate.
Returns: `tri` Result of the operation as a trilean object.
method IA(self)
Evaluates to True if the trilean object is Uncertain, False otherwise.
Namespace types: tri
Parameters:
self (tri) : The trilean object to evaluate.
Returns: `tri` Result of the operation as a trilean object.
UNANIMOUS(self, comparator)
Evaluates the unanimity between two trilean values.
Parameters:
self (tri) : The first trilean value.
comparator (tri) : The second trilean value.
Returns: `tri` Returns True if both values are True, False if both are False, and Uncertain otherwise.
method UNANIMOUS(self)
Evaluates the unanimity among an array of trilean values.
Namespace types: array
Parameters:
self (array) : The array of trilean values.
Returns: `tri` Returns True if all values are True, False if all are False, and Uncertain otherwise.
tri
Three Value Logic (T.U.F.), or trilean. Can be True (1), Uncertain (0), or False (-1).
Fields:
v (series int) : Value of the trilean variable. Can be True (1), Uncertain (0), or False (-1).
Simple Ultimate Oscillator█ OVERVIEW
This indicator as an educational and showcase the usage of user-defined types (UDT) or objects for Ultimate Oscillator.
█ CREDITS
TradingView
█ FEATURES
1. Color of plot is based on contrast color of chart background.
2. Plot fill of overbought and oversold.
3. Support Multi Timeframe.
Simple Ichimoku Kinko Hyo Cloud█ OVERVIEW
This indicator as an educational and showcase the usage of user-defined types or objects (UDT) for Ichimoku Kinko Hyo or Ichimoku Cloud.
█ CREDITS
TradingView
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
Simple Zigzag UDT█ OVERVIEW
This indicator displays zigzag based on high and low, which is using user-defined types (UDT) or objects .
█ CREDITS
LonesomeTheBlue
█ FEATURES
1. Label can be resized.
2. Label can be display either short (Eg : HH, LL, H, L, etc) and long (Eg : Higher Low, etc)
3. Color can be customized either contrast color of chart background, trend color or customized color.
█ EXAMPLES / USAGES
Motion▮ FEATURES
Now as library version :)
String-based transition-effects
Performance optimization. Reduced memory consumption up to >90% by kicking the output to the "stdout".
Use marquee- or loader-effect on any possible string location.
Example: UI Price-Ticker
----------------------------------------------------------------------------
Library "Motion"
_getStringMono(_len, _str, _sep)
Parameters:
_len
_str
_sep
marquee(this, _extern, _ws, _subLen, _subStart)
Parameters:
this
_extern
_ws
_subLen
_subStart
transition(this, _subLen, _subStart)
Parameters:
this
_subLen
_subStart
hold(this)
Parameters:
this
keyframe
keyframe A keyframe object.
Fields:
seq
intv
step
length
update_no
frame_no
ltr
hold
Sort array alphabetically - educational🔶 OVERVIEW
• This educational script will sort an array of tickers alphabetically and place these values in an table , together with the according current price value next to each ticker .
🔶 SORT ALPHABETICALLY
🔹 I. We make a User Defined Type (UDT) obj , with:
· ticker - the string name of the ticker
· price - the current price (close)
• From this UDT we make an object obj.new() for each ticker
🔹 II. 2 array's are made:
• array of objects aObj , containing obj type obj.new() for every ticker
• array of strings sort , the ticker part of each object obj.new()
🔹 III. Now we make an object of each ticker with the createObject(sym ) function
object_1 = createObject("TICKER")
• the object object_1 consists off:
· ticker -> "TICKER"
· price -> current Daily close through request.security("TICKER") (non-repainting)
• object_1 will be added to the aObj array
• "TICKER" ( string ticker part of object ) will be added to the sort array
🔹 IV. The latter array is sorted alphabetically by using array.sort_indices()
EXAMPLE
originalArray = array.from("B", "A", "C")
indicesArray = // sorted indices
array.get(originalArray, 1) -> "A"
array.get(originalArray, 0) -> "B"
array.get(originalArray, 2) -> "C"
IMPORTANT
Alphabetically sorting is case sensitive , just like Java compareTo(String anotherString) !
• The comparison is based on the Unicode value of each character in the string, the lowest "Dec" values are sorted first in line.
• Comparing the "Dec" values at unicodelookup explains why default CAPITAL lettres will be sorted first,
• Default you would get this (A= 65, B= 66, a= 97, b= 98)
Aa
Ba
ab
bb
• Adding str.lower(string) in the toLowerCase() function will result to the following:
Aa
ab
Ba
bb
• (A= 65 is transformed to a= 97, ...)
• As a side note, should you write "AMZN" as "ÀMZN" this would be placed at the end, even after transforming to lower case the "Dec" values are higher (À= 192, à= 224).
• You can toggle "To Lower Case" to verify.
🔹 V. Values are placed in a table , using these sorted indices.
• With the usage of UDTs and objects , the current price has the same index in the aObj as their ticker ,
giving the advantage it is fairly easy to place every value correctly next to each other.
• The same can be done by make 2 separate arrays , 1 for the current price , the other for "TICKER" .
🔶 OTHER TECHNIQUES USED
• Alternative technique for adding comment
Instead of
// this is a comment
You can also do this:
_=" this is a comment "
• Alternate colour
· During a loop , alternate colour when i is even or odd , using the modulo operation (%) .
· This is the remainder when dividing.
EXAMPLE
· 3 % 2 = 1 -> 3 / 2 -> 1 * 2, 1 left (remainder)
· 4 % 2 = 0 -> 4 / 2 -> 2 * 2, 0 left (remainder)
· 5 % 2 = 1 -> 5 / 2 -> 2 * 2, 1 left (remainder)
for i = 0 to 10
even = i % 2 == 0
col = even ? thisColor : otherColor
• Adjust colour in script by using colour picker
Cheers!
Multiple Divergences (UDTs - objects) - Educational█ OVERVIEW
This script highlights the usage of User-defined Types (UDTs) and objects , and bullish /bearish divergences.
Pivotpoints are used to find divergences, the result of this script will be different against other public multiple divergences scripts.
FOR Pine Script™ CODERS
Besides the information found in CONCEPTS , the comments in the script will, hopefully ), guide you through my thought process.
█ CONCEPTS
The main principle of this script are bullish /bearish divergences, this with 3 different oscillators ( RSI , CCI , MFI )
If you want to know more about divergences, have a look at some Education and Research idea's .
On every bar, an object HLs is made, containing bar_index , high , low , and 2 bool variables ( isPh , isPl ).
On every bar, an object Osc is made, containing bar_index , o (oscillator value), and 2 bool variables ( isPh , isPl ).
If a pivothigh (ph ) is found, isPh will be true on that bar, false otherwise.
If a pivotlow (pl) is found, isPl will be true on that bar, false otherwise.
These objects are added to an array, with limited size.
If a ph is found, the script draws a testline from that ph to every previous ph , found in the array.
Then every high in between these 2 points are checked if they don't pierce the testline .
If the testline isn't broken, the Reg_Div_Piv() function will give 4 values, 1 check (not pierced) variable and the 4 points of the line.
The testline is deleted.
Once a positive check is found, the script will perform the same, but now with the Osc objects.
The script will ONLY compare Osc pivots which are maximum 1 bar away from the high/low pivot .
If everything is confirmed, a line is drawn, visible on the chart.
█ REMARKS
A label will be visible with a number, this is the amount of divergences found with the according oscillator .
EXAMPLE
Div with RSI and CCI -> 2
Div with MFI alone -> 1
Div with RSI and CCI and MFI -> 3
...
Divergences should only be used when confirmed, this is after bar close .
As an aid, lines that are not confirmed will be dotted , if confirmed, they will be solid .
The divergence check start when a ph/pl is found, after which oscillator pivot are checked.
Optionally the same can be done, when a oscillator pivot is found and then check the ph/pl ,
this should give more results, although it can make the script slower.
█ SETTINGS
Left - amount of bars at the left which needs to be lower/higher
Right - amount of bars at the right which needs to be lower/higher
Max values - maximum values in array of objects
3 oscillator settings with
• ON/OFF
• Length
• color bullish divergence
• color bearish divergence
Have FUN !
WelcomeUDT█ OVERVIEW
This is a simplest example of user-defined types (UDT) or objects , which simplify as alternative to hello world.
█ CREDITS
Tradingview
█ USAGE
These are the types used during initializations, commonly variables.
export type Settings
int bar
float price
string phrase
...
Example of library function to print out label.
export printLabel(Settings setup) =>
if setup.variable
var label lab = na
label.delete(lab)
lab := label.new(setup.bar, setup.price, setup.phrase, color = setup.bg)
else
label.new(setup.bar, setup.price, setup.phrase, color = setup.bg)
Usage of types
Settings setup = Settings.new(bar_index , priceInput, phraseInput, colorInput, variableInput)
Alternative way to write types
Settings setup = Settings.new(
bar = bar_index ,
price = priceInput,
phrase = phraseInput,
variable = variableInput)
Usage of types into custom function / library function.
printLabel(setup)
printLabel(Settings)
Print out label
Parameters:
Settings : types
Returns: Label object
Settings
Initialize type values
Fields:
bar : X position for label
price : Y position for label
phrase : Text for label
bg : Color for label
variable : Boolean for enable new line and delete line










