New version merge

This commit is contained in:
Miha Kralj
2024-09-22 17:31:24 -07:00
parent 1b719fa94e
commit d475bcd19a
405 changed files with 56573 additions and 12440 deletions
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namespace QuanTAlib;
/// <summary>
/// Provides a base implementation for financial indicators in the QuanTAlib library.
/// This abstract class implements the iTValue interface and defines common properties
/// and methods used by inheriting indicator types.
/// </summary>
public abstract class AbstractBase : iTValue
{
public DateTime Time { get; set; }
public double Value { get; set; }
public bool IsNew { get; set; }
public bool IsHot { get; set; }
public TValue Input { get; set; }
public String Name { get; set; } = "";
public int WarmupPeriod { get; set; }
public TValue Tick => new(Time, Value, IsNew, IsHot); // Stores the current value of indicator
public event ValueSignal Pub = delegate { }; // Publisher of generated values
protected int _index; //tracking the position of output
protected double _lastValidValue;
// other _internal vars defined here
protected AbstractBase()
{ //add parameters into constructor
}
/// <summary>
/// Subscribes to a data source and triggers calculations on new data.
/// </summary>
/// <param name="source">The class publishing the data.</param>
/// <param name="args">The argument containing the new data point.</param>
public void Sub(object source, in ValueEventArgs args) => Calc(args.Tick);
public virtual void Init()
{
_index = 0;
_lastValidValue = 0;
}
/// <summary>
/// Calculates the indicator value based on the input; calls specific Calculation() method
/// where implementation is
/// </summary>
/// <param name="input">The input value for the calculation.</param>
/// <returns>A TValue representing the calculated indicator value.</returns>
public virtual TValue Calc(TValue input)
{
Input = input;
if (double.IsNaN(input.Value) || double.IsInfinity(input.Value))
{
return Process(new TValue(input.Time, GetLastValid(), input.IsNew, input.IsHot));
}
this.Value = Calculation();
return Process(new TValue(Time: Input.Time, Value: this.Value, IsNew: Input.IsNew, IsHot: this.IsHot));
}
protected virtual double GetLastValid()
{
return this.Value;
}
protected abstract void ManageState(bool isNew);
protected abstract double Calculation();
/// <summary>
/// Processes the calculated value, updates the indicator's own state,
/// and publishes the result through an event.
/// </summary>
/// <param name="value">The calculated TValue to process.</param>
/// <returns>The processed TValue.</returns>
protected virtual TValue Process(TValue value)
{
this.Time = value.Time;
this.Value = value.Value;
this.IsNew = value.IsNew;
this.IsHot = value.IsHot;
Pub?.Invoke(this, new ValueEventArgs(value));
return value;
}
}
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using System.Collections;
using System.Runtime.CompilerServices;
using System.Numerics;
namespace QuanTAlib;
public class CircularBuffer : IEnumerable<double>
{
private readonly double[] _buffer;
private int _start = 0;
private int _size = 0;
public int Capacity { get; }
public int Count => _size;
public CircularBuffer(int capacity)
{
Capacity = capacity;
_buffer = GC.AllocateArray<double>(capacity, pinned: true);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Add(double item, bool isNew = true)
{
if (_size == 0 || isNew)
{
if (_size < Capacity)
{
_buffer[(_start + _size) % Capacity] = item;
_size++;
}
else
{
_buffer[_start] = item;
_start = (_start + 1) % Capacity;
}
}
else
{
_buffer[(_start + _size - 1) % Capacity] = item;
}
}
public double this[Index index]
{
[MethodImpl(MethodImplOptions.AggressiveInlining)]
get
{
int actualIndex = index.IsFromEnd ? _size - index.Value : index.Value;
actualIndex = Math.Clamp(actualIndex, 0, _size - 1);
return _buffer[(_start + actualIndex) % Capacity];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
set
{
int actualIndex = index.IsFromEnd ? _size - index.Value : index.Value;
actualIndex = Math.Clamp(actualIndex, 0, _size - 1);
_buffer[(_start + actualIndex) % Capacity] = value;
}
}
[MethodImpl(MethodImplOptions.NoInlining)]
private static void ThrowArgumentOutOfRangeException()
{
throw new ArgumentOutOfRangeException("index", "Index is out of range.");
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public double Newest()
{
if (_size == 0)
return 0;
return _buffer[(_start + _size - 1) % Capacity];
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public double Oldest()
{
if (_size == 0)
ThrowInvalidOperationException();
return _buffer[_start];
}
[MethodImpl(MethodImplOptions.NoInlining)]
private static void ThrowInvalidOperationException()
{
throw new InvalidOperationException("Buffer is empty.");
}
public Enumerator GetEnumerator() => new(this);
IEnumerator<double> IEnumerable<double>.GetEnumerator() => GetEnumerator();
IEnumerator IEnumerable.GetEnumerator() => GetEnumerator();
public struct Enumerator : IEnumerator<double>
{
private readonly CircularBuffer _buffer;
private int _index;
private double _current;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
internal Enumerator(CircularBuffer buffer)
{
_buffer = buffer;
_index = -1;
_current = default;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public bool MoveNext()
{
if (_index + 1 >= _buffer._size)
return false;
_index++;
_current = _buffer[_index];
return true;
}
public double Current => _current;
object IEnumerator.Current => Current;
public void Reset()
{
_index = -1;
_current = default;
}
public void Dispose() { }
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void CopyTo(double[] destination, int destinationIndex)
{
if (_size == 0)
return;
if (_start + _size <= Capacity)
{
Array.Copy(_buffer, _start, destination, destinationIndex, _size);
}
else
{
int firstPartLength = Capacity - _start;
Array.Copy(_buffer, _start, destination, destinationIndex, firstPartLength);
Array.Copy(_buffer, 0, destination, destinationIndex + firstPartLength, _size - firstPartLength);
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ReadOnlySpan<double> GetSpan()
{
if (_size == 0)
return ReadOnlySpan<double>.Empty;
if (_start + _size <= Capacity)
{
return new ReadOnlySpan<double>(_buffer, _start, _size);
}
else
{
return new ReadOnlySpan<double>(ToArray());
}
}
public double[] InternalBuffer => _buffer;
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public ReadOnlySpan<double> GetInternalSpan() => _buffer.AsSpan();
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public void Clear()
{
Array.Clear(_buffer, 0, _buffer.Length);
_start = 0;
_size = 0;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public double Max()
{
if (_size == 0)
ThrowInvalidOperationException();
return MaxSimd();
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public double Min()
{
if (_size == 0)
ThrowInvalidOperationException();
return MinSimd();
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public double Sum()
{
return SumSimd();
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public double Average()
{
if (_size == 0)
ThrowInvalidOperationException();
return SumSimd() / _size;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private double MaxSimd()
{
var span = GetSpan();
var vectorSize = Vector<double>.Count;
var maxVector = new Vector<double>(double.MinValue);
int i = 0;
for (; i <= span.Length - vectorSize; i += vectorSize)
{
maxVector = Vector.Max(maxVector, new Vector<double>(span.Slice(i, vectorSize)));
}
double max = double.MinValue;
for (int j = 0; j < vectorSize; j++)
{
max = Math.Max(max, maxVector[j]);
}
for (; i < span.Length; i++)
{
max = Math.Max(max, span[i]);
}
return max;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private double MinSimd()
{
var span = GetSpan();
var vectorSize = Vector<double>.Count;
var minVector = new Vector<double>(double.MaxValue);
int i = 0;
for (; i <= span.Length - vectorSize; i += vectorSize)
{
minVector = Vector.Min(minVector, new Vector<double>(span.Slice(i, vectorSize)));
}
double min = double.MaxValue;
for (int j = 0; j < vectorSize; j++)
{
min = Math.Min(min, minVector[j]);
}
for (; i < span.Length; i++)
{
min = Math.Min(min, span[i]);
}
return min;
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
private double SumSimd()
{
var span = GetSpan();
var vectorSize = Vector<double>.Count;
var sumVector = Vector<double>.Zero;
int i = 0;
for (; i <= span.Length - vectorSize; i += vectorSize)
{
sumVector += new Vector<double>(span.Slice(i, vectorSize));
}
double sum = 0;
for (int j = 0; j < vectorSize; j++)
{
sum += sumVector[j];
}
for (; i < span.Length; i++)
{
sum += span[i];
}
return sum;
}
public double[] ToArray()
{
double[] array = new double[_size];
CopyTo(array, 0);
return array;
}
public void ParallelOperation(Func<double[], int, int, double> operation)
{
const int MinimumPartitionSize = 1024;
if (_size < MinimumPartitionSize)
{
var span = GetSpan();
var array = span.ToArray();
operation(array, 0, array.Length);
return;
}
int partitionCount = Environment.ProcessorCount;
int partitionSize = _size / partitionCount;
if (partitionSize < MinimumPartitionSize)
{
partitionCount = Math.Max(1, _size / MinimumPartitionSize);
partitionSize = _size / partitionCount;
}
var buffer = ToArray();
var results = new double[partitionCount];
Parallel.For(0, partitionCount, i =>
{
int start = i * partitionSize;
int length = (i == partitionCount - 1) ? _size - start : partitionSize;
results[i] = operation(buffer, start, length);
});
}
}
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using Microsoft.DotNet.Interactive.Formatting;
using System.ComponentModel.DataAnnotations;
using System.Text;
namespace QuanTAlib;
public static class Formatters
{
const string smallfont = "smaller";
const string pad = "18";
public static void Initialize()
{
Formatter.Register<iTValue>((tick, writer) =>
{
var sb = new StringBuilder();
sb.Append("<table style='border-collapse: collapse; text-align: left;'><tr>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0; font-size: {smallfont};'>{tick.Time:yyyy-MM-dd HH:mm:ss}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{tick.Value:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{(tick.IsHot ? "🔥" : "")}</td>");
sb.Append("</tr></table>");
writer.Write(sb.ToString());
}, HtmlFormatter.MimeType);
Formatter.Register<TSeries>((series, writer) =>
{
var sb = new StringBuilder();
sb.Append("<table style='border-collapse: collapse; text-align: right;'></tr>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; text-align: left;'><b>{series.Name}</b></th>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; font-size: {smallfont};'><i>Index</i></th>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; font-size: {smallfont};'><i>Value</i></th>");
sb.Append("</tr>");
for (int i = 0; i < Math.Min(100, series.Count); i++)
{
TValue item = series[i];
sb.Append("<tr>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0; font-size: {smallfont};'>{item.Time:yyyy-MM-dd HH:mm:ss}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0; font-size: {smallfont};'>{i}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{item.Value:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{(item.IsHot ? "🔥" : "")}</td>");
sb.Append("</tr>");
}
sb.Append("</table>");
if (series.Count > 100)
{
sb.Append("<p>Showing first 100 items. Total items: " + series.Count + "</p>");
}
writer.Write(sb.ToString());
}, HtmlFormatter.MimeType);
Formatter.Register<TBar>((bar, writer) =>
{
var sb = new StringBuilder();
sb.Append("<table style='border-collapse: collapse; text-align: right;'><tr>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0; font-size: {smallfont};'>{bar.Time:yyyy-MM-dd HH:mm:ss}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{bar.Open:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{bar.High:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{bar.Low:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{bar.Close:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'> {bar.Volume:F2}</td>");
sb.Append("</tr></table>");
writer.Write(sb.ToString());
}, HtmlFormatter.MimeType);
Formatter.Register<TBarSeries>((series, writer) =>
{
var sb = new StringBuilder();
sb.Append("<table style='border-collapse: collapse; text-align: right;'></tr>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; text-align: left;'><b>{series.Name}</b></th>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; font-size: {smallfont};'><i>Index</i></th>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; font-size: {smallfont};'><i>Open</i></th>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; font-size: {smallfont};'><i>High</i></th>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; font-size: {smallfont};'><i>Low</i></th>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; font-size: {smallfont};'><i>Close</i></th>");
sb.Append($"<th style='padding-left: {pad}px; padding-right: {pad}px; font-size: {smallfont};'><i>Volume</i></th>");
sb.Append("</tr>");
for (int i = 0; i < Math.Min(100, series.Count); i++)
{
TBar item = series[i];
sb.Append("<tr>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0; font-size: {smallfont};'>{item.Time:yyyy-MM-dd HH:mm:ss}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0; font-size: {smallfont};'>{i}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{item.Open:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{item.High:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{item.Low:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{item.Close:F2}</td>");
sb.Append($"<td style='padding-left: {pad}px; padding-right: {pad}px; line-height: 1.0;'>{item.Volume:F2}</td>");
sb.Append("</tr>");
}
sb.Append("</table>");
if (series.Count > 100)
{
sb.Append("<p>Showing first 100 items. Total items: " + series.Count + "</p>");
}
writer.Write(sb.ToString());
}, HtmlFormatter.MimeType);
}
}
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namespace QuanTAlib;
public interface iTBar
{
DateTime Time { get; }
double Open { get; }
double High { get; }
double Low { get; }
double Close { get; }
double Volume { get; }
bool IsNew { get; }
}
public readonly record struct TBar(DateTime Time, double Open, double High, double Low, double Close, double Volume, bool IsNew = true) : iTBar
{
public DateTime Time { get; init; } = Time;
public double Open { get; init; } = Open;
public double High { get; init; } = High;
public double Low { get; init; } = Low;
public double Close { get; init; } = Close;
public double Volume { get; init; } = Volume;
public bool IsNew { get; init; } = IsNew;
public double HL2 => (High + Low) * 0.5;
public double OC2 => (Open + Close) * 0.5;
public double OHL3 => (Open + High + Low) / 3;
public double HLC3 => (High + Low + Close) / 3;
public double OHLC4 => (Open + High + Low + Close) * 0.25;
public double HLCC4 => (High + Low + Close + Close) * 0.25;
public TBar() : this(DateTime.UtcNow, 0, 0, 0, 0, 0) { }
public TBar(double Open, double High, double Low, double Close, double Volume, bool IsNew = true) : this(DateTime.UtcNow, Open, High, Low, Close, Volume, IsNew) { }
// when TBar casts to double, it returns its Close
public static implicit operator double(TBar bar) => bar.Close;
public static implicit operator DateTime(TBar tv) => tv.Time;
// castings for sloppy people - a single double injected into a TBar, and a single TValue injected into a TBar
public TBar(double value) : this(Time: DateTime.UtcNow, Open: value, High: value, Low: value, Close: value, Volume: value, IsNew: true) { }
public TBar(TValue value) : this(Time: value.Time, Open: value.Value, High: value.Value, Low: value.Value, Close: value.Value, Volume: value.Value, IsNew: value.IsNew) { }
public override string ToString() => $"[{Time:yyyy-MM-dd HH:mm:ss}: O={Open:F2}, H={High:F2}, L={Low:F2}, C={Close:F2}, V={Volume:F2}]";
}
public delegate void BarSignal(object source, in TBarEventArgs args);
public class TBarEventArgs : EventArgs
{
public TBar Bar { get; }
public TBarEventArgs(TBar bar) { Bar = bar; }
}
public class TBarSeries : List<TBar>
{
private readonly TBar Default = new(DateTime.MinValue, double.NaN, double.NaN, double.NaN, double.NaN, double.NaN);
public TSeries Open;
public TSeries High;
public TSeries Low;
public TSeries Close;
public TSeries Volume;
public TBar Last => Count > 0 ? this[^1] : Default;
public TBar First => Count > 0 ? this[0] : Default;
public int Length => Count;
public string Name { get; set; }
public event BarSignal Pub = delegate { };
public TBarSeries()
{
this.Name = "Bar";
Open = new();
High = new();
Low = new();
Close = new();
Volume = new();
}
public TBarSeries(object source) : this()
{
var pubEvent = source.GetType().GetEvent("Pub");
pubEvent?.AddEventHandler(source, new BarSignal(Sub));
}
public new virtual void Add(TBar bar)
{
if (bar.IsNew) { base.Add(bar); } else { this[^1] = bar; }
Pub?.Invoke(this, new TBarEventArgs(bar));
Open.Add(bar.Time, bar.Open, IsNew: bar.IsNew, IsHot: true);
High.Add(bar.Time, bar.High, IsNew: bar.IsNew, IsHot: true);
Low.Add(bar.Time, bar.Low, IsNew: bar.IsNew, IsHot: true);
Close.Add(bar.Time, bar.Close, IsNew: bar.IsNew, IsHot: true);
Volume.Add(bar.Time, bar.Volume, IsNew: bar.IsNew, IsHot: true);
}
public void Add(DateTime Time, double Open, double High, double Low, double Close, double Volume, bool IsNew = true) =>
this.Add(new TBar(Time, Open, High, Low, Close, Volume, IsNew));
public void Add(double Open, double High, double Low, double Close, double Volume, bool IsNew = true) =>
this.Add(new TBar(DateTime.Now, Open, High, Low, Close, Volume, IsNew));
public void Add(TBarSeries series)
{
if (series == this)
{
// If adding itself, create a copy to avoid modification during enumeration
var copy = new TBarSeries { Name = this.Name };
copy.AddRange(this);
AddRange(copy);
}
else
{
AddRange(series);
}
}
public new virtual void AddRange(IEnumerable<TBar> collection)
{
foreach (var item in collection)
{
Add(item);
}
}
public void Sub(object source, in TBarEventArgs args)
{
Add(args.Bar);
}
}
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namespace QuanTAlib;
public interface iTValue
{
DateTime Time { get; }
double Value { get; }
bool IsNew { get; }
bool IsHot { get; }
}
public readonly record struct TValue(DateTime Time, double Value, bool IsNew = true, bool IsHot = true) : iTValue
{
public DateTime Time { get; init; } = Time;
public double Value { get; init; } = Value;
public bool IsNew { get; init; } = IsNew;
public bool IsHot { get; init; } = IsHot;
public DateTime t => Time;
public double v => Value;
public TValue() : this(DateTime.UtcNow, 0) { }
public TValue(double value, bool isNew = true, bool isHot = true) : this(DateTime.UtcNow, value, IsNew: isNew, IsHot: isHot) { }
public static implicit operator double(TValue tv) => tv.Value;
public static implicit operator DateTime(TValue tv) => tv.Time;
public static implicit operator TValue(double value) => new TValue(DateTime.UtcNow, value);
public override string ToString() => $"[{Time:yyyy-MM-dd HH:mm:ss}, {Value:F2}, IsNew: {IsNew}, IsHot: {IsHot}]";
}
public delegate void ValueSignal(object source, in ValueEventArgs args);
public class ValueEventArgs : EventArgs
{
public TValue Tick { get; }
public ValueEventArgs(TValue value) { Tick = value; }
}
public class TSeries : List<TValue>
{
private readonly TValue Default = new(DateTime.MinValue, double.NaN);
public IEnumerable<DateTime> t => this.Select(item => item.t);
public IEnumerable<double> v => this.Select(item => item.v);
public TValue Last => Count > 0 ? this[^1] : Default;
public TValue First => Count > 0 ? this[0] : Default;
public int Length => Count;
public string Name { get; set; }
public event ValueSignal Pub = delegate { };
public TSeries() { this.Name = "Data"; }
public TSeries(object source) : this()
{
var pubEvent = source.GetType().GetEvent("Pub");
if (pubEvent != null)
{
/*
var nameProperty = source.GetType().GetProperty("Name");
if (nameProperty != null) {
Name = nameProperty.GetValue(nameProperty)?.ToString()!;
}
*/
pubEvent.AddEventHandler(source, new ValueSignal(Sub));
}
}
public static explicit operator List<double>(TSeries series) => series.Select(item => item.Value).ToList();
public static explicit operator double[](TSeries series) => series.Select(item => item.Value).ToArray();
public new virtual void Add(TValue tick)
{
if (tick.IsNew) { base.Add(tick); }
else { this[^1] = tick; }
Pub?.Invoke(this, new ValueEventArgs(tick));
}
public virtual void Add(DateTime Time, double Value, bool IsNew = true, bool IsHot = true) => this.Add(new TValue(Time, Value, IsNew, IsHot));
public virtual void Add(double Value, bool IsNew = true, bool IsHot = true) => this.Add(new TValue(DateTime.UtcNow, Value, IsNew, IsHot));
public void Add(IEnumerable<double> values)
{
var valueList = values.ToList();
int count = valueList.Count;
DateTime startTime = DateTime.UtcNow - TimeSpan.FromHours(count);
for (int i = 0; i < count; i++)
{
this.Add(startTime, valueList[i]);
startTime = startTime.AddHours(1);
}
}
public void Add(TSeries series)
{
if (series == this)
{
// If adding itself, create a copy to avoid modification during enumeration
var copy = new TSeries { Name = this.Name };
copy.AddRange(this);
AddRange(copy);
}
else
{
AddRange(series);
}
}
public new virtual void AddRange(IEnumerable<TValue> collection)
{
foreach (var item in collection)
{
Add(item);
}
}
public void Sub(object source, in ValueEventArgs args) { Add(args.Tick); }
}