feat: Implement ADX Indicator with Quantower integration

This commit is contained in:
Miha Kralj
2025-12-14 20:32:01 -08:00
parent 78775c1da0
commit 016c10b68a
9 changed files with 830 additions and 202 deletions
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# Good Indicator Guidelines
This document defines the strict standards for creating high-quality technical indicators in the QuanTAlib library. All new indicators MUST adhere to these rules to ensure consistency, performance, and reliability.
## 1. Architecture & Design Principles
* **Source Material:** The algorithm and markdown documentation foundation should be sourced from [https://github.com/mihakralj/pinescript/blob/main/indicators/](PineScript).
* **Zero Allocation:** The core calculation loop must not allocate memory on the heap. Use `stackalloc`, `Span<T>`, and pinned memory where possible.
* **O(1) Complexity:** Streaming updates must be O(1) whenever mathematically possible. Use running sums/products or circular buffers to avoid re-iterating over history.
* **Dual API:** Provide both a stateful object-oriented API (`Update`) and a stateless static vector API (`Calculate`).
* **Bar Correction:** Support intra-bar updates via the `isNew` parameter. The indicator must be able to rollback the last update and apply a new value for the same timestamp.
* **Robustness:** Handle `NaN` and `Infinity` gracefully using last-valid-value substitution. Never propagate invalid values.
* **Reactive:** Implement `ITValuePublisher` to support event-driven architectures.
* **Time Handling:** Always use `DateTime.UtcNow` instead of `DateTime.Now` to ensure consistent time handling across timezones.
## 2. File Structure
Each indicator resides in its own directory such as `lib/trends/`, `lib/indicators/`, or `lib/oscillators/`.
**Directory:** `lib/[category]/[name]/`
| File | Purpose | Naming Convention |
|------|---------|-------------------|
| **Source** | Main implementation | `[Name].cs` (e.g., `Sma.cs`) |
| **Tests** | Unit tests | `[Name].Tests.cs` |
| **Validation** | Cross-library validation | `[Name].Validation.Tests.cs` |
| **Docs** | User documentation | `[Name].md` |
| **Quantower** | Quantower adapter | `[Name].Quantower.cs` |
| **Quantower Tests** | Quantower adapter tests | `[Name].Quantower.Tests.cs` |
## 3. Implementation Rules (`[Name].cs`)
### Class Definition
* **Namespace:** `QuanTAlib`
* **Attributes:** `[SkipLocalsInit]` for performance.
* **Modifiers:** `public sealed class`
* **Interface:** Implements `ITValuePublisher`
### State Management
* **Scalar State:** Use a `private record struct State` to group all scalar state variables. This ensures value semantics, automatic `IEquatable` implementation, and cleaner rollback logic.
* **State Variables:** Maintain `private State _state;` (current) and `private State _p_state;` (previous valid state).
* **Buffers:** Use `RingBuffer` for sliding window data.
* **Resync:** Implement a periodic full recalculation (e.g., every 1000 ticks) to prevent floating-point drift in running sums.
### Constructor
* Validate all parameters (throw `ArgumentException` for invalid values).
* Initialize `Name` property (e.g., `$"Sma({period})"`);
* Support chaining: `public [Name](ITValuePublisher source, ...)`
### Update Method
* **Signature:** `public TValue Update(TValue input, bool isNew = true)`
* **Attribute:** `[MethodImpl(MethodImplOptions.AggressiveInlining)]`
* **Logic:**
1. **State Rollback:**
```csharp
if (isNew) {
_p_state = _state;
// ... update state (e.g. counters) ...
} else {
_state = _p_state;
// ... update state ...
}
```
2. **Input Validation:** Check `double.IsFinite`. If not, use `_lastValidValue` (stored in `State`).
3. **Calculation:** Perform the math.
4. **Publish:** Update `Last` property, invoke `Pub` event, return `Last`.
### Update Method (TSeries)
* **Signature:** `public TSeries Update(TSeries source)`
* **Placement:** Must be adjacent to the `Update(TValue)` method.
* **Logic:**
1. Create output series.
2. Call static `Calculate(Span)` for performance.
3. Restore internal state by replaying the last `Period` bars (or full series if recursive).
### Static Calculate (TSeries)
* Create a new instance of the indicator.
* Iterate through the source series.
* Return the resulting `TSeries`.
### Static Calculate (Span) - **Critical for Performance**
* **Signature:** `public static void Calculate(ReadOnlySpan<double> source, Span<double> output, ...)`
* **Attribute:** `[MethodImpl(MethodImplOptions.AggressiveInlining)]`
* **Optimization:**
* Check for SIMD support (`Avx2.IsSupported`).
* Use `stackalloc` for small buffers (threshold ~256) and for internal state buffers in recursive algorithms where SIMD is not applicable.
* Implement a scalar fallback path that handles `NaN` safely.
* Implement a SIMD path for large, clean datasets (optional but recommended for simple averages).
## 4. Testing Standards
### Unit Tests (`[Name].Tests.cs`)
* **Framework:** xUnit
* **Data Generation:** Use `GBM` (Geometric Brownian Motion) for generating realistic test data. Avoid using `System.Random` directly.
* **Coverage:**
* Constructor validation (invalid params).
* Basic calculation correctness (compare against manual calc).
* `isNew=true` vs `isNew=false` behavior (bar correction).
* `Reset()` functionality.
* `IsHot` property behavior.
* `NaN` / `Infinity` handling (must not crash, must return finite values).
* Consistency between Object API, Static TSeries API, and Static Span API.
* Edge cases: Period=1, empty input, single input.
### Validation Tests (`[Name].Validation.Tests.cs`)
* **Purpose:** Verify accuracy against **ALL** available external libraries (Skender, TA-Lib, Tulip, OoplesFinance, Python libraries, etc.) where the indicator is implemented. You must actively search for existing implementations to validate against.
* **Data:** Use `GBM` (Geometric Brownian Motion) to generate realistic test data.
* **Scenarios:**
* Batch processing.
* Streaming processing.
* Span/Vector processing.
* **Tolerance:** Typically `1e-6` or `1e-9` depending on the algorithm.
## 5. Documentation Standards (`[Name].md`)
Follow the standard template and ensure strict adherence to Markdownlint rules, specifically:
* **MD030:** Ensure exactly one space after list markers (e.g., `* Item`, not `*Item` or `* Item`).
* **MD032:** Ensure lists are surrounded by blank lines (one blank line before the first item and one after the last item).
* **No Issues:** Ensure that markdownlint shows no issues for the file.
Template structure:
1. **Title & Overview:** What is it? What does it do?
2. **Core Concepts:** Key features (e.g., equal weighting, noise reduction).
3. **Parameters:** Table of constructor parameters.
4. **Formula:** LaTeX formatted math ($$...$$).
5. **C# Implementation:** Code examples for:
* Standard usage.
* Span API (high performance).
* Bar correction (`isNew`).
* Eventing.
6. **Interpretation:** How to use it in trading.
7. **References:** Books or papers.
## 6. Quantower Adapter
* **Implementation:** Create a wrapper class in `[Name].Quantower.cs` that adapts the QuanTAlib indicator for the Quantower platform.
* **Tests:** Create unit tests in `[Name].Quantower.Tests.cs` to verify the adapter's functionality using mocks where necessary.
## 7. Code Review
* **Tool:** Run CodeRabbit on the changes.
* **Requirement:** Address and fix **ALL** issues identified by the CodeRabbit review before considering the task complete.
## 8. Performance Guidelines
* **Inlining:** Use `[MethodImpl(MethodImplOptions.AggressiveInlining)]` on all hot path methods (`Update`, `Calculate`).
* **Locals Init:** Use `[SkipLocalsInit]` on the class to skip zero-initialization of locals.
* **Loops:** Prefer `for` loops over `foreach` for arrays/spans.
* **Math:** Use `System.Math` or `System.Numerics`. Avoid LINQ in hot paths.
* **Memory:** **NEVER** use `new` inside the `Update` method. Pre-allocate everything in the constructor.
## 9. Checklist for New Indicators
* [ ] **Source Material:** Sourced algorithm and docs from `mihakralj/pinescript` or `mihakralj/quantalib`?
* [ ] **File Structure:** Created all 6 required files?
* [ ] **Constructor:** Validates inputs? Sets `Name`?
* [ ] **Update:** Handles `isNew` correctly? Handles `NaN`? O(1)?
* [ ] **Static API:** Implemented `Calculate(Span)`?
* [ ] **Tests:** Unit tests pass? `NaN` tests included?
* [ ] **Validation:** Matches **ALL** available external libraries?
* [ ] **Docs:** Markdown file created with formula and examples? Linted (MD030, MD032)?
* [ ] **Quantower:** Adapter created in `[Name].Quantower.cs`?
* [ ] **Quantower Tests:** Adapter tests created in `[Name].Quantower.Tests.cs`?
* [ ] **Code Review:** Ran CodeRabbit and fixed all issues?
* [ ] **Index:** Added to category `_index.md` with link and description?
* [ ] **Performance:** No allocations in `Update`? `[SkipLocalsInit]` used?
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@@ -26,6 +26,17 @@ We do not store objects in lists. We store primitive arrays.
* `TSeries`: The primary data structure for time series.
* `ITValuePublisher`: The interface for reactive data flow.
### Design Principles
* **Source Material:** The algorithm and markdown documentation foundation should be sourced from [https://github.com/mihakralj/pinescript/blob/main/indicators/](PineScript).
* **Zero Allocation:** The core calculation loop must not allocate memory on the heap. Use `stackalloc`, `Span<T>`, and pinned memory where possible.
* **O(1) Complexity:** Streaming updates must be O(1) whenever mathematically possible. Use running sums/products or circular buffers to avoid re-iterating over history.
* **Dual API:** Provide both a stateful object-oriented API (`Update`) and a stateless static vector API (`Calculate`).
* **Bar Correction:** Support intra-bar updates via the `isNew` parameter. The indicator must be able to rollback the last update and apply a new value for the same timestamp.
* **Robustness:** Handle `NaN` and `Infinity` gracefully using last-valid-value substitution. Never propagate invalid values.
* **Reactive:** Implement `ITValuePublisher` to support event-driven architectures.
* **Time Handling:** Always use `DateTime.UtcNow` instead of `DateTime.Now` to ensure consistent time handling across timezones.
### Performance Rules
1. **Zero Allocation**: The `Update` method MUST NOT allocate memory on the heap. Use `stackalloc` or pre-allocated buffers.
@@ -44,13 +55,33 @@ Directory: `lib/[category]/[name]/` (e.g., `lib/trends/sma/`)
| File | Naming | Purpose |
|------|--------|---------|
| **Source** | `[Name].cs` | Main logic. `public sealed class`. |
| **Source** | `[Name].cs` | Main implementation. `public sealed class`. |
| **Tests** | `[Name].Tests.cs` | xUnit tests (correctness, edge cases). |
| **Validation** | `[Name].Validation.Tests.cs` | Compare against TA-Lib, Skender, etc. |
| **Docs** | `[Name].md` | User documentation with formulas. |
| **Adapter** | `[Name].Quantower.cs` | Quantower platform integration. |
| **Adapter Tests** | `[Name].Quantower.Tests.cs` | Tests for the adapter. |
### Class Definition
* **Namespace:** `QuanTAlib`
* **Attributes:** `[SkipLocalsInit]` for performance.
* **Modifiers:** `public sealed class`
* **Interface:** Implements `ITValuePublisher`
### State Management
* **Scalar State:** Use a `private record struct State` to group all scalar state variables. This ensures value semantics, automatic `IEquatable` implementation, and cleaner rollback logic.
* **State Variables:** Maintain `private State _state;` (current) and `private State _p_state;` (previous valid state).
* **Buffers:** Use `RingBuffer` for sliding window data.
* **Resync:** Implement a periodic full recalculation (e.g., every 1000 ticks) to prevent floating-point drift in running sums.
### Constructor
* Validate all parameters (throw `ArgumentException` for invalid values).
* Initialize `Name` property (e.g., `$"Sma({period})"`);
* Support chaining: `public [Name](ITValuePublisher source, ...)`
### The `Update` Method Contract
The `Update` method is the heart of the indicator.
@@ -59,35 +90,94 @@ The `Update` method is the heart of the indicator.
public TValue Update(TValue input, bool isNew = true)
```
* **`isNew = true`**: A new bar has arrived. Save current state to history (or `_p_` variables), then calculate.
* **`isNew = false`**: The current bar is updating (tick data). Restore state from history (or `_p_` variables), then recalculate.
* **NaN Handling**: If input is `NaN` or `Infinity`, use the last valid value. Never propagate `NaN`.
* **Attribute:** `[MethodImpl(MethodImplOptions.AggressiveInlining)]`
* **Logic:**
1. **State Rollback:**
### State Management
```csharp
if (isNew) {
_p_state = _state;
// ... update state (e.g. counters) ...
} else {
_state = _p_state;
// ... update state ...
}
```
* **Scalar State:** Use a `private record struct State` to group all scalar state variables. This ensures value semantics, automatic `IEquatable` implementation, and cleaner rollback logic.
* **State Variables:** Maintain `private State _state;` (current) and `private State _p_state;` (previous valid state).
* **Buffers:** Use `RingBuffer` for sliding windows.
* **Resync:** Periodically recalculate running sums to prevent floating-point drift.
2. **Input Validation:** Check `double.IsFinite`. If not, use `_lastValidValue` (stored in `State`).
3. **Calculation:** Perform the math.
4. **Publish:** Update `Last` property, invoke `Pub` event, return `Last`.
### Dual API Requirement
### Update Method (TSeries)
1. **Stateful (Streaming)**: `Update(TValue)` for live data.
2. **Stateless (Vector)**: `static void Calculate(ReadOnlySpan<double> src, Span<double> dst)` for batch history.
* **Signature:** `public TSeries Update(TSeries source)`
* **Placement:** Must be adjacent to the `Update(TValue)` method.
* **Logic:**
1. Create output series.
2. Call static `Calculate(Span)` for performance.
3. Restore internal state by replaying the last `Period` bars (or full series if recursive).
### Static Calculate (TSeries)
* Create a new instance of the indicator.
* Iterate through the source series.
* Return the resulting `TSeries`.
### Static Calculate (Span) - **Critical for Performance**
* **Signature:** `public static void Calculate(ReadOnlySpan<double> source, Span<double> output, ...)`
* **Attribute:** `[MethodImpl(MethodImplOptions.AggressiveInlining)]`
* **Optimization:**
* Check for SIMD support (`Avx2.IsSupported`).
* Use `stackalloc` for small buffers (threshold ~256) and for internal state buffers in recursive algorithms where SIMD is not applicable.
* Implement a scalar fallback path that handles `NaN` safely.
* Implement a SIMD path for large, clean datasets (optional but recommended for simple averages).
## 4. Testing Protocol
### Unit Tests (`[Name].Tests.cs`)
* Use `GBM` (Geometric Brownian Motion) for data generation.
* Test `isNew=true` vs `isNew=false` consistency.
* Test `Reset()` and `IsHot` (warmup).
* Test edge cases: `NaN` inputs, empty series, period=1.
* **Framework:** xUnit
* **Data Generation:** Use `GBM` (Geometric Brownian Motion) for generating realistic test data. Avoid using `System.Random` directly.
* **Coverage:**
* Constructor validation (invalid params).
* Basic calculation correctness (compare against manual calc).
* `isNew=true` vs `isNew=false` behavior (bar correction).
* `Reset()` functionality.
* `IsHot` property behavior.
* `NaN` / `Infinity` handling (must not crash, must return finite values).
* Consistency between Object API, Static TSeries API, and Static Span API.
* Edge cases: Period=1, empty input, single input.
### Validation Tests (`[Name].Validation.Tests.cs`)
* **Mandatory**: You MUST validate against at least one external authority (TA-Lib, Skender, Tulip, OoplesFinance, Python libs).
* **Tolerance**: Typically `1e-6` to `1e-9`.
* **Data**: Use `ValidationTestData` class which wraps `GBM` (Geometric Brownian Motion) to generate realistic test data and provides pre-calculated Skender quotes.
#### External Library Usage Guide
* **Skender.Stock.Indicators:**
* Use `_data.SkenderQuotes.Get[Indicator](...)`.
* Compare using `ValidationHelper.VerifyData`.
* **TA-Lib (TALib.NETCore):**
* Namespace: `using TALib;`
* Method: `TALib.Functions.[Indicator]<double>(...)`.
* Check `Assert.Equal(Core.RetCode.Success, retCode)`.
* Use `ValidationHelper.VerifyData` with `outRange` and `lookback`.
* **Tulip (Tulip.NETCore):**
* Namespace: `using Tulip;`
* Method: `Tulip.Indicators.[indicator].Run(...)`.
* Handle lookback/offset manually (Tulip output is shorter than input).
* Use `ValidationHelper.VerifyData` with `lookback`.
* **OoplesFinance.StockIndicators:**
* Namespace: `using OoplesFinance.StockIndicators;`
* Convert data: `_data.SkenderQuotes.Select(q => new TickerData { ... }).ToList()`.
* Use `new StockData(ooplesData).Calculate[Indicator](...)`.
* Compare using `ValidationHelper.VerifyData`.
## 5. Documentation Standards
@@ -95,8 +185,20 @@ public TValue Update(TValue input, bool isNew = true)
* **Content**: Title, Description, Parameters, Formula (LaTeX), C# Usage Examples.
* **Index**: Add the new indicator to the category index (e.g., `lib/trends/_index.md`).
* **Linting**: Ensure that markdownlint shows no issues for the file.
* **MD030:** Ensure exactly one space after list markers.
* **MD032:** Ensure lists are surrounded by blank lines.
## 6. Development Checklist
## 6. Quantower Adapter
* **Implementation:** Create a wrapper class in `[Name].Quantower.cs` that adapts the QuanTAlib indicator for the Quantower platform.
* **Tests:** Create unit tests in `[Name].Quantower.Tests.cs` to verify the adapter's functionality using mocks where necessary.
## 7. Code Review
* **Tool:** Run CodeRabbit on the changes.
* **Requirement:** Address and fix **ALL** issues identified by the CodeRabbit review before considering the task complete.
## 8. Development Checklist
When creating a new indicator, you are **DONE** only when:
@@ -108,9 +210,10 @@ When creating a new indicator, you are **DONE** only when:
* [ ] Unit tests pass (including edge cases).
* [ ] Validation tests pass against external libs.
* [ ] Documentation is complete and linked in `_index.md`.
* [ ] Quantower adapter and tests are implemented.
* [ ] CodeRabbit review issues are resolved.
## 7. Forbidden Actions
## 9. Forbidden Actions
* **DO NOT** use LINQ in hot paths (`Update` or `Calculate`).
* **DO NOT** use `new` inside `Update`.
@@ -118,7 +221,7 @@ When creating a new indicator, you are **DONE** only when:
* **DO NOT** remove `[SkipLocalsInit]` or `[MethodImpl]` attributes.
* **DO NOT** ignore `NaN` inputs; handle them safely.
## 8. Context & Resources
## 10. Context & Resources
* **Time**: Use `DateTime.UtcNow`.
* **Math**: Use `System.Math` or `System.Numerics`.
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@@ -4,6 +4,7 @@ Trend indicators help identify the direction and strength of a market trend. Mov
| Indicator | Full Name | Description |
| :--- | :--- | :--- |
| [ADX](adx/Adx.md) | Average Directional Index | Measures the strength of a trend, regardless of its direction. |
| ALLIGATOR | Williams Alligator | |
| [ALMA](alma/Alma.md) | Arnaud Legoux MA | Uses Gaussian distribution weights to balance smoothness and responsiveness. |
| AMAT | Archer Moving Averages Trends | |
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using Xunit;
using TradingPlatform.BusinessLayer;
using QuanTAlib;
namespace QuanTAlib.Tests;
public class AdxIndicatorTests
{
[Fact]
public void AdxIndicator_Constructor_SetsDefaults()
{
var indicator = new AdxIndicator();
Assert.Equal(14, indicator.Period);
Assert.True(indicator.ShowColdValues);
Assert.Equal("ADX - Average Directional Index", indicator.Name);
Assert.True(indicator.SeparateWindow);
Assert.True(indicator.OnBackGround);
}
[Fact]
public void AdxIndicator_MinHistoryDepths_EqualsPeriod()
{
var indicator = new AdxIndicator { Period = 20 };
Assert.Equal(20, indicator.MinHistoryDepths);
IWatchlistIndicator watchlistIndicator = indicator;
Assert.Equal(20, watchlistIndicator.MinHistoryDepths);
}
[Fact]
public void AdxIndicator_ShortName_IncludesParameters()
{
var indicator = new AdxIndicator { Period = 20 };
indicator.Initialize();
Assert.Contains("ADX", indicator.ShortName);
Assert.Contains("20", indicator.ShortName);
}
[Fact]
public void AdxIndicator_SourceCodeLink_IsValid()
{
var indicator = new AdxIndicator();
Assert.Contains("github.com", indicator.SourceCodeLink);
Assert.Contains("Adx.Quantower.cs", indicator.SourceCodeLink);
}
[Fact]
public void AdxIndicator_Initialize_CreatesInternalAdx()
{
var indicator = new AdxIndicator { Period = 14 };
// Initialize should not throw
indicator.Initialize();
// After init, line series should exist (ADX, +DI, -DI)
Assert.Equal(3, indicator.LinesSeries.Length);
}
[Fact]
public void AdxIndicator_ProcessUpdate_HistoricalBar_ComputesValue()
{
var indicator = new AdxIndicator { Period = 5 };
indicator.Initialize();
// Add historical data
var now = DateTime.UtcNow;
// Need enough bars for Period
for (int i = 0; i < 20; i++)
{
indicator.HistoricalData.AddBar(now.AddMinutes(i), 100 + i, 110 + i, 90 + i, 105 + i);
// Process update for each bar to simulate history loading
var args = new UpdateArgs(UpdateReason.HistoricalBar);
indicator.ProcessUpdate(args);
}
// Line series should have a value
double adx = indicator.LinesSeries[0].GetValue(0);
Assert.True(double.IsFinite(adx));
}
}
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using System.Drawing;
using TradingPlatform.BusinessLayer;
namespace QuanTAlib;
public class AdxIndicator : Indicator, IWatchlistIndicator
{
[InputParameter("Period", sortIndex: 1, 1, 1000, 1, 0)]
public int Period { get; set; } = 14;
[InputParameter("Show cold values", sortIndex: 21)]
public bool ShowColdValues { get; set; } = true;
private Adx? _adx;
protected LineSeries? AdxSeries;
protected LineSeries? DiPlusSeries;
protected LineSeries? DiMinusSeries;
public int MinHistoryDepths => Period;
int IWatchlistIndicator.MinHistoryDepths => MinHistoryDepths;
public override string ShortName => $"ADX {Period}";
public override string SourceCodeLink => "https://github.com/mihakralj/QuanTAlib/blob/main/lib/trends/adx/Adx.Quantower.cs";
public AdxIndicator()
{
OnBackGround = true;
SeparateWindow = true;
Name = "ADX - Average Directional Index";
Description = "Measures the strength of a trend";
AdxSeries = new(name: "ADX", color: Color.Blue, width: 2, style: LineStyle.Solid);
DiPlusSeries = new(name: "+DI", color: Color.Green, width: 1, style: LineStyle.Solid);
DiMinusSeries = new(name: "-DI", color: Color.Red, width: 1, style: LineStyle.Solid);
AddLineSeries(AdxSeries);
AddLineSeries(DiPlusSeries);
AddLineSeries(DiMinusSeries);
}
protected override void OnInit()
{
_adx = new Adx(Period);
base.OnInit();
}
protected override void OnUpdate(UpdateArgs args)
{
bool isNew = args.Reason == UpdateReason.NewBar || args.Reason == UpdateReason.HistoricalBar;
TBar bar = this.GetInputBar(args);
TValue result = _adx!.Update(bar, isNew);
if (!_adx.IsHot && !ShowColdValues)
{
return;
}
AdxSeries!.SetValue(result.Value);
DiPlusSeries!.SetValue(_adx.DiPlus.Value);
DiMinusSeries!.SetValue(_adx.DiMinus.Value);
}
}
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using Xunit;
namespace QuanTAlib.Tests;
public class AdxTests
{
private readonly GBM _gbm = new();
[Fact]
public void Constructor_ThrowsArgumentException_WhenPeriodIsInvalid()
{
Assert.Throws<ArgumentException>(() => new Adx(0));
Assert.Throws<ArgumentException>(() => new Adx(-1));
}
[Fact]
public void Update_ReturnsValidValues_WhenInputIsValid()
{
var adx = new Adx(14);
var bars = _gbm.Fetch(100, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1));
foreach (var bar in bars)
{
var result = adx.Update(bar);
Assert.True(double.IsFinite(result.Value));
}
}
[Fact]
public void Update_HandlesIsNewCorrectly()
{
var adx = new Adx(14);
// We need enough bars to warm up ADX (2 * Period)
int count = 2 * 14 + 5;
var bars = _gbm.Fetch(count, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1));
// Feed all but last bar
for (int i = 0; i < count - 1; i++)
{
adx.Update(bars[i]);
}
// Update with last bar (isNew=true)
var result1 = adx.Update(bars[count - 1], true);
// Update with modified last bar (isNew=false)
var modifiedBar = new TBar(bars[count - 1].Time, bars[count - 1].Open, bars[count - 1].High + 1, bars[count - 1].Low - 1, bars[count - 1].Close, bars[count - 1].Volume);
var result2 = adx.Update(modifiedBar, false);
// The result should change because High/Low changed, affecting TR and DM
Assert.NotEqual(result1.Value, result2.Value);
}
[Fact]
public void Reset_ResetsState()
{
var adx = new Adx(14);
var bars = _gbm.Fetch(100, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); // Increased to 100
foreach (var bar in bars)
{
adx.Update(bar);
}
Assert.True(adx.IsHot);
adx.Reset();
Assert.False(adx.IsHot);
Assert.Equal(0, adx.Last.Value);
}
[Fact]
public void IsHot_BecomesTrue_AfterWarmup()
{
var adx = new Adx(14);
var bars = _gbm.Fetch(100, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1));
int i = 0;
for (; i < bars.Count; i++)
{
adx.Update(bars[i]);
if (adx.IsHot) break;
}
Assert.True(i < bars.Count);
Assert.True(adx.IsHot);
}
[Fact]
public void Update_HandlesNaN_Gracefully()
{
var adx = new Adx(14);
var bar = new TBar(DateTime.UtcNow, double.NaN, double.NaN, double.NaN, double.NaN, 0);
var result = adx.Update(bar);
// Should not throw and return finite value (likely 0 or last valid)
// Since it's the first value, it might be 0.
Assert.True(double.IsFinite(result.Value));
}
[Fact]
public void Update_TValue_ReturnsValidResult()
{
var adx = new Adx(14);
var val = new TValue(DateTime.UtcNow, 100);
var result = adx.Update(val);
Assert.True(double.IsFinite(result.Value));
}
}
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using System;
using System.Collections.Generic;
using System.Linq;
using Skender.Stock.Indicators;
using TALib;
using Xunit;
using QuanTAlib.Tests;
namespace QuanTAlib;
public class AdxValidationTests : IDisposable
{
private readonly ValidationTestData _data;
public AdxValidationTests()
{
_data = new ValidationTestData();
}
public void Dispose()
{
Dispose(true);
GC.SuppressFinalize(this);
}
protected virtual void Dispose(bool disposing)
{
if (disposing)
{
_data.Dispose();
}
}
[Fact]
public void MatchesSkender()
{
var adx = new Adx(14);
var results = new List<double>();
for (int i = 0; i < _data.Bars.Count; i++)
{
var res = adx.Update(_data.Bars[i]);
results.Add(res.Value);
}
var skenderResults = _data.SkenderQuotes.GetAdx(14).ToList();
ValidationHelper.VerifyData(results, skenderResults, x => x.Adx);
}
[Fact]
public void MatchesTalib()
{
var adx = new Adx(14);
var results = new List<double>();
for (int i = 0; i < _data.Bars.Count; i++)
{
var res = adx.Update(_data.Bars[i]);
results.Add(res.Value);
}
double[] hData = _data.Bars.High.Select(x => x.Value).ToArray();
double[] lData = _data.Bars.Low.Select(x => x.Value).ToArray();
double[] cData = _data.Bars.Close.Select(x => x.Value).ToArray();
double[] outReal = new double[_data.Bars.Count];
var retCode = TALib.Functions.Adx(hData, lData, cData, 0..^0, outReal, out var outRange, 14);
Assert.Equal(Core.RetCode.Success, retCode);
int lookback = TALib.Functions.AdxLookback(14);
ValidationHelper.VerifyData(results, outReal, outRange, lookback);
}
}
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using System.Runtime.CompilerServices;
namespace QuanTAlib;
/// <summary>
/// ADX: Average Directional Index
/// </summary>
/// <remarks>
/// ADX measures the strength of a trend, regardless of its direction.
/// It is derived from the Smoothed Directional Movement Index (DX).
///
/// Calculation:
/// 1. Calculate True Range (TR), +DM, and -DM
/// 2. Smooth TR, +DM, -DM using RMA (Wilder's Moving Average)
/// - First value is SMA of first Period values
/// - Subsequent values: Previous + (Input - Previous) / Period
/// 3. Calculate +DI = (+DM_smooth / TR_smooth) * 100
/// 4. Calculate -DI = (-DM_smooth / TR_smooth) * 100
/// 5. Calculate DX = |(+DI - -DI) / (+DI + -DI)| * 100
/// 6. ADX = RMA(DX)
/// - First value is SMA of first Period DX values
/// - Subsequent values: Previous + (Input - Previous) / Period
///
/// Sources:
/// https://www.investopedia.com/terms/a/adx.asp
/// "New Concepts in Technical Trading Systems" by J. Welles Wilder
/// </remarks>
[SkipLocalsInit]
public sealed class Adx : ITValuePublisher
{
private readonly int _period;
private TBar _prevBar;
private TBar _p_prevBar;
private bool _isInitialized;
// State for TR, +DM, -DM smoothing
private double _trSum, _dmPlusSum, _dmMinusSum;
private double _p_trSum, _p_dmPlusSum, _p_dmMinusSum;
private int _samples;
private int _p_samples;
private double _trSmooth, _dmPlusSmooth, _dmMinusSmooth;
private double _p_trSmooth, _p_dmPlusSmooth, _p_dmMinusSmooth;
// State for ADX smoothing
private double _dxSum;
private double _p_dxSum;
private int _dxSamples;
private int _p_dxSamples;
private double _adx;
private double _p_adx;
/// <summary>
/// Display name for the indicator.
/// </summary>
public string Name { get; }
public event Action<TValue>? Pub;
/// <summary>
/// Current ADX value.
/// </summary>
public TValue Last { get; private set; }
/// <summary>
/// Current +DI value.
/// </summary>
public TValue DiPlus { get; private set; }
/// <summary>
/// Current -DI value.
/// </summary>
public TValue DiMinus { get; private set; }
/// <summary>
/// True if the ADX has warmed up and is providing valid results.
/// </summary>
public bool IsHot => _dxSamples >= _period;
/// <summary>
/// Creates ADX with specified period.
/// </summary>
/// <param name="period">Period for ADX calculation (must be > 0)</param>
public Adx(int period)
{
if (period <= 0)
throw new ArgumentException("Period must be greater than 0", nameof(period));
_period = period;
Name = $"Adx({period})";
_isInitialized = false;
}
/// <summary>
/// Resets the ADX state.
/// </summary>
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Reset()
{
_prevBar = default;
_p_prevBar = default;
_isInitialized = false;
_trSum = _dmPlusSum = _dmMinusSum = 0;
_p_trSum = _p_dmPlusSum = _p_dmMinusSum = 0;
_samples = _p_samples = 0;
_trSmooth = _dmPlusSmooth = _dmMinusSmooth = 0;
_p_trSmooth = _p_dmPlusSmooth = _p_dmMinusSmooth = 0;
_dxSum = _p_dxSum = 0;
_dxSamples = _p_dxSamples = 0;
_adx = _p_adx = 0;
Last = default;
DiPlus = default;
DiMinus = default;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public TValue Update(TBar input, bool isNew = true)
{
if (isNew)
{
_p_prevBar = _prevBar;
_p_trSum = _trSum;
_p_dmPlusSum = _dmPlusSum;
_p_dmMinusSum = _dmMinusSum;
_p_samples = _samples;
_p_trSmooth = _trSmooth;
_p_dmPlusSmooth = _dmPlusSmooth;
_p_dmMinusSmooth = _dmMinusSmooth;
_p_dxSum = _dxSum;
_p_dxSamples = _dxSamples;
_p_adx = _adx;
}
else
{
_prevBar = _p_prevBar;
_trSum = _p_trSum;
_dmPlusSum = _p_dmPlusSum;
_dmMinusSum = _p_dmMinusSum;
_samples = _p_samples;
_trSmooth = _p_trSmooth;
_dmPlusSmooth = _p_dmPlusSmooth;
_dmMinusSmooth = _p_dmMinusSmooth;
_dxSum = _p_dxSum;
_dxSamples = _p_dxSamples;
_adx = _p_adx;
}
if (!_isInitialized)
{
if (isNew)
{
_prevBar = input;
_isInitialized = true;
}
return new TValue(input.Time, 0);
}
// Calculate TR
double hl = input.High - input.Low;
double hpc = Math.Abs(input.High - _prevBar.Close);
double lpc = Math.Abs(input.Low - _prevBar.Close);
double tr = Math.Max(hl, Math.Max(hpc, lpc));
// Calculate DM
double dmPlus = 0;
double dmMinus = 0;
double upMove = input.High - _prevBar.High;
double downMove = _prevBar.Low - input.Low;
if (upMove > downMove && upMove > 0)
dmPlus = upMove;
if (downMove > upMove && downMove > 0)
dmMinus = downMove;
if (isNew)
{
_prevBar = input;
}
// Smooth TR, +DM, -DM
if (_samples < _period)
{
_trSum += tr;
_dmPlusSum += dmPlus;
_dmMinusSum += dmMinus;
_samples++;
if (_samples == _period)
{
// Wilder's initialization for TR, +DM, and -DM uses the un-averaged sum (scaled sum).
// Since +DI and -DI are ratios (+DM/TR and -DM/TR), the scaling factor (1/Period)
// cancels out mathematically. This differs from the ADX smoothing later, which
// explicitly uses a true SMA (sum / Period) for its initialization.
_trSmooth = _trSum;
_dmPlusSmooth = _dmPlusSum;
_dmMinusSmooth = _dmMinusSum;
}
}
else
{
// RMA: Previous + (Input - Previous) / Period
// Or: Previous * (1 - 1/Period) + Input * (1/Period)
// Or: (Previous * (Period - 1) + Input) / Period
// Wilder uses sums, but effectively it's RMA.
// Standard formula:
// Smooth = Smooth - (Smooth / Period) + Input
_trSmooth = _trSmooth - (_trSmooth / _period) + tr;
_dmPlusSmooth = _dmPlusSmooth - (_dmPlusSmooth / _period) + dmPlus;
_dmMinusSmooth = _dmMinusSmooth - (_dmMinusSmooth / _period) + dmMinus;
}
// Calculate DI and DX
double diPlus = 0;
double diMinus = 0;
double dx = 0;
if (_samples >= _period)
{
if (_trSmooth > 1e-10)
{
diPlus = (_dmPlusSmooth / _trSmooth) * 100.0;
diMinus = (_dmMinusSmooth / _trSmooth) * 100.0;
}
double diSum = diPlus + diMinus;
if (diSum > 1e-10)
{
dx = (Math.Abs(diPlus - diMinus) / diSum) * 100.0;
}
// Smooth DX to get ADX
if (_dxSamples < _period)
{
_dxSum += dx;
_dxSamples++;
if (_dxSamples == _period)
{
_adx = _dxSum / _period; // First ADX is SMA of DX
}
}
else
{
// ADX = (Prior ADX * (Period - 1) + Current DX) / Period
_adx = ((_adx * (_period - 1)) + dx) / _period;
}
}
DiPlus = new TValue(input.Time, diPlus);
DiMinus = new TValue(input.Time, diMinus);
Last = new TValue(input.Time, _adx);
Pub?.Invoke(Last);
return Last;
}
public TValue Update(TValue input, bool isNew = true)
{
return Update(new TBar(input.Time, input.Value, input.Value, input.Value, input.Value, 0), isNew);
}
public TSeries Update(TBarSeries source)
{
var t = new List<long>(source.Count);
var v = new List<double>(source.Count);
Reset();
for (int i = 0; i < source.Count; i++)
{
var val = Update(source[i], true);
t.Add(val.Time);
v.Add(val.Value);
}
return new TSeries(t, v);
}
public static TSeries Calculate(TBarSeries source, int period)
{
var adx = new Adx(period);
return adx.Update(source);
}
}
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# ADX - Average Directional Index
The Average Directional Index (ADX) is a technical analysis indicator used to determine the strength of a trend. The trend can be either up or down, and this is shown by two accompanying indicators, the Negative Directional Indicator (-DI) and the Positive Directional Indicator (+DI). Therefore, ADX consists of three separate lines.
## Core Concepts
- **Trend Strength:** ADX measures the strength of the trend, not the direction.
- **Directional Movement:** +DI and -DI show the direction of the trend.
- **Range:** ADX values range from 0 to 100. Values above 25 usually indicate a strong trend.
## Parameters
| Parameter | Type | Default | Description |
|-----------|------|---------|-------------|
| Period | int | 14 | The number of periods used for the calculation. |
## Formula
1. **Calculate True Range (TR), +DM, and -DM:**
$$TR = \max(High - Low, |High - PreviousClose|, |Low - PreviousClose|)$$
$$+DM = \text{if } (High - PreviousHigh) > (PreviousLow - Low) \text{ and } (High - PreviousHigh) > 0 \text{ then } (High - PreviousHigh) \text{ else } 0$$
$$-DM = \text{if } (PreviousLow - Low) > (High - PreviousHigh) \text{ and } (PreviousLow - Low) > 0 \text{ then } (PreviousLow - Low) \text{ else } 0$$
2. **Smooth TR, +DM, -DM:**
Using Wilder's Moving Average (RMA) over `Period`.
$$TR_{smooth} = RMA(TR, Period)$$
$$+DM_{smooth} = RMA(+DM, Period)$$
$$-DM_{smooth} = RMA(-DM, Period)$$
3. **Calculate +DI and -DI:**
$$+DI = \frac{+DM_{smooth}}{TR_{smooth}} \times 100$$
$$-DI = \frac{-DM_{smooth}}{TR_{smooth}} \times 100$$
4. **Calculate DX:**
$$DX = \frac{|+DI - -DI|}{+DI + -DI} \times 100$$
5. **Calculate ADX:**
$$ADX = RMA(DX, Period)$$
## C# Implementation
### Standard Usage
```csharp
// Create ADX with period 14
var adx = new Adx(14);
// Update with TBar
var result = adx.Update(new TBar(time, open, high, low, close, volume));
Console.WriteLine($"ADX: {result.Value}");
```
### Streaming with TBarSeries
```csharp
var adx = new Adx(14);
var series = new TBarSeries();
// ... populate series ...
var results = adx.Update(series);
```
### Static Calculation
```csharp
var results = Adx.Calculate(series, 14);
```
## Interpretation
- **ADX < 20:** Weak trend or non-trending market.
- **ADX > 25:** Strong trend.
- **ADX > 40:** Very strong trend.
- **ADX > 50:** Extremely strong trend.
Traders typically use ADX to determine whether to use a trend-following system or a range-trading system. When ADX is high, trend-following strategies are preferred. When ADX is low, range-trading strategies are preferred.
## References
- [Investopedia - Average Directional Index (ADX)](https://www.investopedia.com/terms/a/adx.asp)
- Wilder, J. Welles. *New Concepts in Technical Trading Systems*. Trend Research, 1978.