877 lines
35 KiB
C#
877 lines
35 KiB
C#
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//-------------------------------------------------------------
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// <copyright company=<3D>Microsoft Corporation<6F>>
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// Copyright <20> Microsoft Corporation. All Rights Reserved.
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// </copyright>
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//-------------------------------------------------------------
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// @owner=alexgor, deliant
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//=================================================================
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// File: TechGeneralIndicators.cs
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//
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// Namespace: System.Web.UI.WebControls[Windows.Forms].Charting.Formulas
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//
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// Classes: TechGeneralIndicators
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//
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// Purpose: This class is used for calculations of
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// general technical analyses indicators.
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//
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// Reviewed: GS - August 7, 2002
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// AG - August 7, 2002
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//
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//===================================================================
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using System;
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using System.Globalization;
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#if Microsoft_CONTROL
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namespace System.Windows.Forms.DataVisualization.Charting.Formulas
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#else
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namespace System.Web.UI.DataVisualization.Charting.Formulas
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#endif
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{
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/// <summary>
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/// This class is used for calculations of general
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/// technical analyses indicators.
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/// </summary>
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internal class GeneralTechnicalIndicators : PriceIndicators
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{
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#region Properties
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/// <summary>
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/// Formula Module name
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/// </summary>
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override public string Name { get { return SR.FormulaNameGeneralTechnicalIndicators; } }
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#endregion
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#region Formulas
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/// <summary>
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/// Standard Deviation is a statistical measure of volatility.
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/// Standard Deviation is typically used as a component of
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/// other indicators, rather than as a stand-alone indicator.
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/// For example, Bollinger Bands are calculated by adding
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/// a security's Standard Deviation to a moving average.
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/// High Standard Deviation values occur when the data item
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/// being analyzed (e.g., prices or an indicator) is changing
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/// dramatically. Similarly, low Standard Deviation values
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/// occur when prices are stable.
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/// ---------------------------------------------------------
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/// Input:
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/// - 1 Y value.
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/// Output:
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/// - 1 Y value Standard Deviation
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/// Parameters:
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/// - Periods for standard deviation ( used for moving average )
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/// Extra Parameters:
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/// -
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/// </summary>
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/// <param name="inputValues">Arrays of doubles - Input values</param>
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/// <param name="outputValues">Arrays of doubles - Output values</param>
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/// <param name="parameterList">Array of strings - Parameters</param>
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/// <param name="extraParameterList">Array of strings - Extra parameters</param>
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private void StandardDeviation(double [][] inputValues, out double [][] outputValues, string [] parameterList, string [] extraParameterList)
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{
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int length = inputValues.Length;
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// Period for standard deviation ( used for moving average )
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int period;
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try
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{period = int.Parse( parameterList[0], System.Globalization.CultureInfo.InvariantCulture );}
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catch( Exception e )
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{
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if (e.Message == SR.ExceptionObjectReferenceIsNull)
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throw new InvalidOperationException(SR.ExceptionPriceIndicatorsPeriodMissing);
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else
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throw new InvalidOperationException(SR.ExceptionPriceIndicatorsPeriodMissing + e.Message);
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}
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if( period <= 0 )
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throw new InvalidOperationException(SR.ExceptionPeriodParameterIsNegative);
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// Starting average from the first data point or after period.
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bool startFromFirst = bool.Parse( extraParameterList[0] );
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// There is no enough series
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if( length != 2 )
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throw new ArgumentException(SR.ExceptionPriceIndicatorsFormulaRequiresOneArray);
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// Different number of x and y values
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if( inputValues[0].Length != inputValues[1].Length )
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throw new ArgumentException(SR.ExceptionPriceIndicatorsSameXYNumber);
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// Not enough values for moving average in Standard deviation.
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if( inputValues[0].Length < period )
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throw new ArgumentException(SR.ExceptionPriceIndicatorsNotEnoughPoints);
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outputValues = new double [2][];
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StandardDeviation( inputValues[1], out outputValues[1], period, startFromFirst );
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// Set X values
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outputValues[0] = new double [outputValues[1].Length];
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for( int index = 0; index < outputValues[1].Length; index++ )
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{
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if( startFromFirst )
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outputValues[0][index] = inputValues[0][index];
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else
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outputValues[0][index] = inputValues[0][index+period-1];
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}
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}
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/// <summary>
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/// The Average True Range ("ATR") is a measure of volatility. It was introduced
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/// by Welles Wilder in his book, New Concepts in Technical Trading Systems, and
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/// has since been used as a component of many indicators and trading systems. Wilder
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/// has found that high ATR values often occur at market bottoms following a "panic"
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/// sell-off. Low Average True Range values are often found during extended sideways
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/// periods, such as those found at tops and after consolidation periods. The Average
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/// True Range can be interpreted using the same techniques that are used with
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/// the other volatility indicators.
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/// ---------------------------------------------------------
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/// Input:
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/// - 3 Y values ( High, Low, Close ).
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/// Output:
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/// - 1 Y value AverageTrueRange
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/// Parameters:
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/// - Periods (Default 14) = is used to configure the number of periods to calculate the ATR
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/// </summary>
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/// <param name="inputValues">Arrays of doubles - Input values</param>
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/// <param name="outputValues">Arrays of doubles - Output values</param>
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/// <param name="parameterList">Array of strings - Parameters</param>
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private void AverageTrueRange(double [][] inputValues, out double [][] outputValues, string [] parameterList)
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{
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// There is no enough input series
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if( inputValues.Length != 4 )
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throw new ArgumentException( SR.ExceptionPriceIndicatorsFormulaRequiresThreeArrays);
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// Different number of x and y values
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CheckNumOfValues( inputValues, 3 );
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// Period
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int period;
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if (parameterList.Length < 1 ||
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!int.TryParse(parameterList[0], NumberStyles.Any, CultureInfo.InvariantCulture, out period))
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{
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period = 14;
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}
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if( period <= 0 )
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throw new InvalidOperationException(SR.ExceptionPeriodParameterIsNegative);
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// The distance from today's high to today's low
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double distanceOne;
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// The distance from yesterday's close to today's high
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double distanceTwo;
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// The distance from yesterday's close to today's low
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double distanceTree;
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double [] trueRange = new double [inputValues[0].Length - 1];
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// True Range
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for( int index = 1; index < inputValues[0].Length; index++ )
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{
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// The distance from today's high to today's low
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distanceOne = Math.Abs( inputValues[1][index] - inputValues[2][index] );
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// The distance from yesterday's close to today's high
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distanceTwo = Math.Abs( inputValues[3][index-1] - inputValues[1][index] );
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// The distance from yesterday's close to today's low
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distanceTree = Math.Abs( inputValues[3][index-1] - inputValues[2][index] );
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// True Range
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trueRange[index-1] = Math.Max( Math.Max( distanceOne, distanceTwo ), distanceTree );
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}
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outputValues = new double [2][];
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outputValues[0] = new double [inputValues[0].Length-period];
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// Moving average of true range
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MovingAverage( trueRange, out outputValues[1], period, false );
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// Set X values
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for( int index = period; index < inputValues[0].Length; index++ )
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{
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outputValues[0][index-period] = inputValues[0][index];
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}
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}
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/// <summary>
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/// The Ease of Movement indicator shows the relationship between volume and price
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/// change. This indicator shows how much volume is required to move prices. The Ease
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/// of Movement indicator was developed Richard W. Arms, Jr., the creator of Equivolume.
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/// High Ease of Movement values occur when prices are moving upward on lightStyle volume.
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/// Low Ease of Movement values occur when prices are moving downward on lightStyle volume.
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/// If prices are not moving, or if heavy volume is required to move prices, then
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/// indicator will also be near zero.
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/// ---------------------------------------------------------
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/// Input:
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/// - 3 Y values ( High, Low, Volume ).
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/// Output:
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/// - 1 Y value Ease Of Movement
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/// </summary>
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/// <param name="inputValues">Arrays of doubles - Input values</param>
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/// <param name="outputValues">Arrays of doubles - Output values</param>
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private void EaseOfMovement(double [][] inputValues, out double [][] outputValues)
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{
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// There is no enough input series
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if( inputValues.Length != 4 )
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throw new ArgumentException( SR.ExceptionPriceIndicatorsFormulaRequiresThreeArrays);
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// Different number of x and y values
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CheckNumOfValues( inputValues, 3 );
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double MidPointMove;
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double BoxRattio;
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outputValues = new double [2][];
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outputValues[0] = new double [inputValues[0].Length - 1];
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outputValues[1] = new double [inputValues[0].Length - 1];
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// Ease Of Movement
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for( int index = 1; index < inputValues[0].Length; index++ )
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{
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// Set X values
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outputValues[0][index - 1] = inputValues[0][index];
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// Calculate the Mid-point Move for each day:
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MidPointMove = ( inputValues[1][index] + inputValues[2][index] ) / 2 - ( inputValues[1][index - 1] + inputValues[2][index - 1] ) / 2;
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// The Box Ratio determines the ratio between height and width of the Equivolume box:
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BoxRattio = ( inputValues[3][index] ) / (( inputValues[1][index] - inputValues[2][index] ) );
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// Ease of Movement is then calculated as:
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outputValues[1][index - 1] = MidPointMove / BoxRattio;
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}
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}
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/// <summary>
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/// The Mass Index was designed to identify trend reversals by measuring the narrowing
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/// and widening of the range between the high and low prices. As this range widens, the
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/// Mass Index increases; as the range narrows the Mass Index decreases.
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/// The Mass Index was developed by Donald Dorsey. According to Mr. Dorsey, the most
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/// significant pattern to watch for is a "reversal bulge." A reversal bulge occurs when
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/// a 25-period Mass Index rises above 27.0 and subsequently falls below 26.5. A reversal
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/// in price is then likely. The overall price trend (i.e., trending or trading range)
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/// is unimportant.
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/// ---------------------------------------------------------
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/// Input:
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/// - 2 Y values ( High, Low ).
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/// Output:
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/// - 1 Y value Mass Index
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/// Parameters:
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/// - Period = is used to calculate the accumulation, By default this property is set to 25.
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/// - AveragePeriod = is used to calculate Simple Moving Avg, By default this property is set to 9.
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/// </summary>
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/// <param name="inputValues">Arrays of doubles - Input values</param>
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/// <param name="outputValues">Arrays of doubles - Output values</param>
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/// <param name="parameterList">Array of strings - Parameters</param>
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private void MassIndex(double [][] inputValues, out double [][] outputValues, string [] parameterList)
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{
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// There is no enough input series
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if( inputValues.Length != 3 )
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throw new ArgumentException( SR.ExceptionPriceIndicatorsFormulaRequiresTwoArrays);
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// Different number of x and y values
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CheckNumOfValues( inputValues, 2 );
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// Period
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int period;
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if (parameterList.Length < 1 ||
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!int.TryParse(parameterList[0], NumberStyles.Any, CultureInfo.InvariantCulture, out period))
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{
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period = 25;
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}
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if( period <= 0 )
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throw new InvalidOperationException(SR.ExceptionPeriodParameterIsNegative);
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// Average Period
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int averagePeriod;
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if (parameterList.Length < 2 ||
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!int.TryParse(parameterList[1], NumberStyles.Any, CultureInfo.InvariantCulture, out averagePeriod))
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{
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averagePeriod = 9;
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}
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if( period <= 0 )
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throw new InvalidOperationException(SR.ExceptionPeriodAverageParameterIsNegative);
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double [] highLow = new double [inputValues[0].Length];
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double [] average;
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double [] secondAverage;
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for( int index = 0; index < inputValues[0].Length; index++ )
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{
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highLow[index] = inputValues[1][index] - inputValues[2][index];
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}
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// Find exponential moving average
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ExponentialMovingAverage( highLow, out average, averagePeriod, false );
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// Find exponential moving average of exponential moving average
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ExponentialMovingAverage( average, out secondAverage, averagePeriod, false );
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outputValues = new double [2][];
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outputValues[0] = new double [secondAverage.Length - period + 1];
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outputValues[1] = new double [secondAverage.Length - period + 1];
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// Mass Index
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int outIndex = 0;
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double sum = 0;
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for( int index = 2 * averagePeriod - 3 + period; index < inputValues[0].Length; index++ )
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{
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// Set X values
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outputValues[0][outIndex] = inputValues[0][index];
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sum = 0;
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for( int indexSum = index - period + 1; indexSum <= index; indexSum++ )
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{
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sum += average[indexSum - averagePeriod + 1] / secondAverage[indexSum - 2 * averagePeriod + 2];
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}
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// Set Y values
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outputValues[1][outIndex] = sum;
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outIndex++;
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}
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}
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/// <summary>
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/// The Performance indicator displays a security's price performance as
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/// a percentage. This is sometimes called a "normalized" chart. The
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/// Performance indicator displays the percentage that the security
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/// has increased since the first period displayed. For example, if
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/// the Performance indicator is 10, it means that the security's
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/// price has increased 10% since the first period displayed on the
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|
|
/// left side of the chart. Similarly, a value of -10% means that
|
|||
|
|
/// the security's price has fallen by 10% since the first period
|
|||
|
|
/// displayed.
|
|||
|
|
/// ---------------------------------------------------------
|
|||
|
|
/// Input:
|
|||
|
|
/// - 1 Y value ( Close ).
|
|||
|
|
/// Output:
|
|||
|
|
/// - 1 Y value Performance
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="inputValues">Arrays of doubles - Input values</param>
|
|||
|
|
/// <param name="outputValues">Arrays of doubles - Output values</param>
|
|||
|
|
private void Performance(double [][] inputValues, out double [][] outputValues)
|
|||
|
|
{
|
|||
|
|
// There is no enough input series
|
|||
|
|
if( inputValues.Length != 2 )
|
|||
|
|
throw new ArgumentException(SR.ExceptionPriceIndicatorsFormulaRequiresOneArray);
|
|||
|
|
|
|||
|
|
// Different number of x and y values
|
|||
|
|
CheckNumOfValues( inputValues, 1 );
|
|||
|
|
|
|||
|
|
outputValues = new double [2][];
|
|||
|
|
|
|||
|
|
outputValues[0] = new double [inputValues[0].Length];
|
|||
|
|
outputValues[1] = new double [inputValues[0].Length];
|
|||
|
|
|
|||
|
|
// Performance indicator
|
|||
|
|
for( int index = 0; index < inputValues[0].Length; index++ )
|
|||
|
|
{
|
|||
|
|
// Set X values
|
|||
|
|
outputValues[0][index] = inputValues[0][index];
|
|||
|
|
|
|||
|
|
// Set Y values
|
|||
|
|
outputValues[1][index] = ( inputValues[1][index] - inputValues[1][0] ) / inputValues[1][0] * 100;
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Rate of Change is used to monitor momentum by making direct comparisons between current
|
|||
|
|
/// and past prices on a continual basis. The results can be used to determine the strength
|
|||
|
|
/// of price trends. Note: This study is the same as the Momentum except that Momentum uses
|
|||
|
|
/// subtraction in its calculations while Rate of Change uses division. The resulting lines
|
|||
|
|
/// of these two studies operated over the same data will look exactly the same - only the
|
|||
|
|
/// scale values will differ. The Price Rate-of-Change ("----") indicator displays the
|
|||
|
|
/// difference between the current price and the price x-time periods ago. The difference
|
|||
|
|
/// can be displayed in either points or as a percentage. The Momentum indicator displays
|
|||
|
|
/// the same information, but expresses it as a ratio. When the Rate-of-Change displays
|
|||
|
|
/// the price change in points, it subtracts the price x-time periods ago from today<61>s price.
|
|||
|
|
/// When the Rate-of-Change displays the price change as a percentage, it divides
|
|||
|
|
/// the price change by price x-time period<6F>s ago.
|
|||
|
|
/// ---------------------------------------------------------
|
|||
|
|
/// Input:
|
|||
|
|
/// - 1 Y value ( Close ).
|
|||
|
|
/// Output:
|
|||
|
|
/// - 1 Y value Rate of Change
|
|||
|
|
/// Parameters:
|
|||
|
|
/// - Periods = is used to configure the number of periods to calculate the rate of Change. By default the Periods property is set to 10.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="inputValues">Arrays of doubles - Input values</param>
|
|||
|
|
/// <param name="outputValues">Arrays of doubles - Output values</param>
|
|||
|
|
/// <param name="parameterList">Array of strings - Parameters</param>
|
|||
|
|
private void RateOfChange(double [][] inputValues, out double [][] outputValues, string [] parameterList)
|
|||
|
|
{
|
|||
|
|
// There is no enough input series
|
|||
|
|
if( inputValues.Length != 2 )
|
|||
|
|
throw new ArgumentException(SR.ExceptionPriceIndicatorsFormulaRequiresOneArray);
|
|||
|
|
|
|||
|
|
// Different number of x and y values
|
|||
|
|
CheckNumOfValues( inputValues, 1 );
|
|||
|
|
|
|||
|
|
// Period
|
|||
|
|
int period;
|
|||
|
|
if (parameterList.Length < 1 ||
|
|||
|
|
!int.TryParse(parameterList[0], NumberStyles.Any, CultureInfo.InvariantCulture, out period))
|
|||
|
|
{
|
|||
|
|
period = 10;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
if( period <= 0 )
|
|||
|
|
throw new InvalidOperationException(SR.ExceptionPeriodParameterIsNegative);
|
|||
|
|
|
|||
|
|
outputValues = new double [2][];
|
|||
|
|
|
|||
|
|
outputValues[0] = new double [inputValues[0].Length - period];
|
|||
|
|
outputValues[1] = new double [inputValues[0].Length - period];
|
|||
|
|
|
|||
|
|
// Rate Of Change
|
|||
|
|
for( int index = period; index < inputValues[0].Length; index++ )
|
|||
|
|
{
|
|||
|
|
// Set X values
|
|||
|
|
outputValues[0][index - period] = inputValues[0][index];
|
|||
|
|
|
|||
|
|
// Set Y values
|
|||
|
|
outputValues[1][index - period] = ( inputValues[1][index] - inputValues[1][index - period] ) / inputValues[1][index - period] * 100;
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// This indicator was developed by Welles Wilder Jr. Relative Strength is often
|
|||
|
|
/// used to identify price tops and bottoms by keying on specific levels
|
|||
|
|
/// (usually "30" and "70") on the RSI chart which is scaled from from 0-100.
|
|||
|
|
/// The study is also useful to detect the following:
|
|||
|
|
/// - Movement which might not be as readily apparent on the bar chart
|
|||
|
|
/// - Failure swings above 70 or below 30 which can warn of coming reversals
|
|||
|
|
/// - Support and resistance levels
|
|||
|
|
/// - Divergence between the RSI and price which is often a useful reversal indicator
|
|||
|
|
/// ---------------------------------------------------------
|
|||
|
|
/// Input:
|
|||
|
|
/// - 1 Y value ( Close ).
|
|||
|
|
/// Output:
|
|||
|
|
/// - 1 Y value RelativeStrengthIndex
|
|||
|
|
/// Parameters:
|
|||
|
|
/// - Periods = is used to configure the number of periods to calculate the RSI indicator. By default the Periods property is set to 10.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="inputValues">Arrays of doubles - Input values</param>
|
|||
|
|
/// <param name="outputValues">Arrays of doubles - Output values</param>
|
|||
|
|
/// <param name="parameterList">Array of strings - Parameters</param>
|
|||
|
|
private void RelativeStrengthIndex(double [][] inputValues, out double [][] outputValues, string [] parameterList)
|
|||
|
|
{
|
|||
|
|
// There is no enough input series
|
|||
|
|
if( inputValues.Length != 2 )
|
|||
|
|
throw new ArgumentException(SR.ExceptionPriceIndicatorsFormulaRequiresOneArray);
|
|||
|
|
|
|||
|
|
// Different number of x and y values
|
|||
|
|
CheckNumOfValues( inputValues, 1 );
|
|||
|
|
|
|||
|
|
// Period
|
|||
|
|
int period;
|
|||
|
|
if (parameterList.Length < 1 ||
|
|||
|
|
!int.TryParse(parameterList[0], NumberStyles.Any, CultureInfo.InvariantCulture, out period))
|
|||
|
|
{
|
|||
|
|
period = 10;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
if( period <= 0 )
|
|||
|
|
throw new InvalidOperationException(SR.ExceptionPeriodParameterIsNegative);
|
|||
|
|
|
|||
|
|
double [] upward = new double[inputValues[0].Length-1];
|
|||
|
|
double [] downward = new double[inputValues[0].Length-1];
|
|||
|
|
|
|||
|
|
for( int index = 1; index < inputValues[0].Length; index++ )
|
|||
|
|
{
|
|||
|
|
// Upward - price is going up
|
|||
|
|
if( inputValues[1][index - 1] < inputValues[1][index] )
|
|||
|
|
{
|
|||
|
|
upward[index-1] = inputValues[1][index] - inputValues[1][index - 1];
|
|||
|
|
downward[index-1] = 0.0;
|
|||
|
|
}
|
|||
|
|
// Downward - price is going down
|
|||
|
|
if( inputValues[1][index - 1] > inputValues[1][index] )
|
|||
|
|
{
|
|||
|
|
upward[index-1] = 0.0;
|
|||
|
|
downward[index-1] = inputValues[1][index - 1] - inputValues[1][index];
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
double [] averageUpward = new double[inputValues[0].Length];
|
|||
|
|
double [] averageDownward = new double[inputValues[0].Length];
|
|||
|
|
|
|||
|
|
ExponentialMovingAverage(downward, out averageDownward, period, false );
|
|||
|
|
ExponentialMovingAverage(upward, out averageUpward, period, false );
|
|||
|
|
|
|||
|
|
outputValues = new double [2][];
|
|||
|
|
|
|||
|
|
outputValues[0] = new double [averageDownward.Length];
|
|||
|
|
outputValues[1] = new double [averageDownward.Length];
|
|||
|
|
|
|||
|
|
// Find RSI
|
|||
|
|
for( int index = 0; index < averageDownward.Length; index++ )
|
|||
|
|
{
|
|||
|
|
// Set X values
|
|||
|
|
outputValues[0][index] = inputValues[0][index + period];
|
|||
|
|
|
|||
|
|
// Calculate the Relative Strength Index (RSI):
|
|||
|
|
outputValues[1][index] = 100 - 100 / ( 1 + averageUpward[index] / averageDownward[index] );
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// TripleExponentialMovingAverage is a momentum indicator that displays the percent rate-of-change of a triple
|
|||
|
|
/// exponentially smoothed moving average of the security's closing price. It is designed
|
|||
|
|
/// to keep you in trends equal to or shorter than the number of periods you specify.
|
|||
|
|
/// The TripleExponentialMovingAverage indicator oscillates around a zero line. Its triple exponential smoothing is
|
|||
|
|
/// designed to filter out "insignificant" cycles (i.e., those that are shorter than
|
|||
|
|
/// the number of periods you specify). Trades should be placed when the indicator changes
|
|||
|
|
/// direction (i.e., buy when it turns up and sell when it turns down). You may want to
|
|||
|
|
/// plot a 9-period moving average of the TripleExponentialMovingAverage to create a "signal" line (similar to the
|
|||
|
|
/// MovingAverageConvergenceDivergence indicator, and then buy when the TripleExponentialMovingAverage rises above its signal, and sell when it
|
|||
|
|
/// falls below its signal. Divergences between the security and the TripleExponentialMovingAverage can also help
|
|||
|
|
/// identify turning points.
|
|||
|
|
/// ---------------------------------------------------------
|
|||
|
|
/// Input:
|
|||
|
|
/// - 1 Y values ( Close ).
|
|||
|
|
/// Output:
|
|||
|
|
/// - 1 Y value ( TripleExponentialMovingAverage ).
|
|||
|
|
/// Parameters:
|
|||
|
|
/// - Period = is used to calculate the Exponential Moving Avg, By default this property is set to 12.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="inputValues">Arrays of doubles - Input values</param>
|
|||
|
|
/// <param name="outputValues">Arrays of doubles - Output values</param>
|
|||
|
|
/// <param name="parameterList">Array of strings - Parameters</param>
|
|||
|
|
private void Trix(double [][] inputValues, out double [][] outputValues, string [] parameterList)
|
|||
|
|
{
|
|||
|
|
// There is no enough input series
|
|||
|
|
if( inputValues.Length != 2 )
|
|||
|
|
throw new ArgumentException(SR.ExceptionPriceIndicatorsFormulaRequiresOneArray);
|
|||
|
|
|
|||
|
|
// Different number of x and y values
|
|||
|
|
CheckNumOfValues( inputValues, 1 );
|
|||
|
|
|
|||
|
|
// Period
|
|||
|
|
int period;
|
|||
|
|
if (parameterList.Length < 1 ||
|
|||
|
|
!int.TryParse(parameterList[0], NumberStyles.Any, CultureInfo.InvariantCulture, out period))
|
|||
|
|
{
|
|||
|
|
period = 12;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
if( period <= 0 )
|
|||
|
|
throw new InvalidOperationException(SR.ExceptionPeriodParameterIsNegative);
|
|||
|
|
|
|||
|
|
double [] exp1; // Exponential Moving average of input values
|
|||
|
|
double [] exp2; // Exponential Moving average of exp1
|
|||
|
|
double [] exp3; // Exponential Moving average of exp2
|
|||
|
|
|
|||
|
|
// Find exponential moving average
|
|||
|
|
ExponentialMovingAverage( inputValues[1], out exp1, period, false );
|
|||
|
|
|
|||
|
|
// Find exponential moving average
|
|||
|
|
ExponentialMovingAverage( exp1, out exp2, period, false );
|
|||
|
|
|
|||
|
|
// Find exponential moving average
|
|||
|
|
ExponentialMovingAverage( exp2, out exp3, period, false );
|
|||
|
|
|
|||
|
|
outputValues = new double [2][];
|
|||
|
|
|
|||
|
|
outputValues[0] = new double [inputValues[0].Length - period * 3 + 2];
|
|||
|
|
outputValues[1] = new double [inputValues[0].Length - period * 3 + 2];
|
|||
|
|
|
|||
|
|
// Calculate TripleExponentialMovingAverage
|
|||
|
|
int outIndex = 0;
|
|||
|
|
for( int index = period * 3 - 2; index < inputValues[0].Length; index++ )
|
|||
|
|
{
|
|||
|
|
// set X value
|
|||
|
|
outputValues[0][outIndex] = inputValues[0][index];
|
|||
|
|
|
|||
|
|
// set Y value
|
|||
|
|
outputValues[1][outIndex] = ( exp3[outIndex+1] - exp3[outIndex] ) / exp3[outIndex];
|
|||
|
|
|
|||
|
|
outIndex++;
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// The MovingAverageConvergenceDivergence is used to determine overbought or oversold conditions in the market. Written
|
|||
|
|
/// for stocks and stock indices, MovingAverageConvergenceDivergence can be used for commodities as well. The MovingAverageConvergenceDivergence line
|
|||
|
|
/// is the difference between the long and short exponential moving averages of the chosen
|
|||
|
|
/// item. The signal line is an exponential moving average of the MovingAverageConvergenceDivergence line. Signals are
|
|||
|
|
/// generated by the relationship of the two lines. As with RSI and Stochastics,
|
|||
|
|
/// divergences between the MovingAverageConvergenceDivergence and prices may indicate an upcoming trend reversal. The MovingAverageConvergenceDivergence
|
|||
|
|
/// is a trend following momentum indicator that shows the relationship between two
|
|||
|
|
/// moving averages of prices. The MovingAverageConvergenceDivergence is the difference between a 26-day and 12-day
|
|||
|
|
/// exponential moving average. A 9-day exponential moving average, called the "signal"
|
|||
|
|
/// (or "trigger") line is plotted on top of the MovingAverageConvergenceDivergence to show buy/sell opportunities. The
|
|||
|
|
/// MovingAverageConvergenceDivergence is calculated by subtracting the value of a 26-day exponential moving average
|
|||
|
|
/// from a 12-day exponential moving average. A 9-day dotted exponential moving average of
|
|||
|
|
/// the MovingAverageConvergenceDivergence (the "signal" line) is then plotted on top of the MovingAverageConvergenceDivergence.
|
|||
|
|
/// ---------------------------------------------------------
|
|||
|
|
/// Input:
|
|||
|
|
/// - 1 Y value ( Close ).
|
|||
|
|
/// Output:
|
|||
|
|
/// - 1 Y value ( MovingAverageConvergenceDivergence ).
|
|||
|
|
/// Parameters:
|
|||
|
|
/// - ShortPeriod = is used to configure the short Exponential Moving Average, By default this property is set to 12.
|
|||
|
|
/// - LongPeriod = is used to configure the Int64 Exponential Moving Average, By default this property is set to 26.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="inputValues">Arrays of doubles - Input values</param>
|
|||
|
|
/// <param name="outputValues">Arrays of doubles - Output values</param>
|
|||
|
|
/// <param name="parameterList">Array of strings - Parameters</param>
|
|||
|
|
private void Macd(double [][] inputValues, out double [][] outputValues, string [] parameterList)
|
|||
|
|
{
|
|||
|
|
// There is no enough input series
|
|||
|
|
if( inputValues.Length != 2 )
|
|||
|
|
throw new ArgumentException(SR.ExceptionPriceIndicatorsFormulaRequiresOneArray);
|
|||
|
|
|
|||
|
|
// Different number of x and y values
|
|||
|
|
CheckNumOfValues( inputValues, 1 );
|
|||
|
|
|
|||
|
|
// Short Period
|
|||
|
|
int shortPeriod;
|
|||
|
|
if (parameterList.Length < 1 ||
|
|||
|
|
!int.TryParse(parameterList[0], NumberStyles.Any, CultureInfo.InvariantCulture, out shortPeriod))
|
|||
|
|
{
|
|||
|
|
shortPeriod = 12;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
if( shortPeriod <= 0 )
|
|||
|
|
throw new InvalidOperationException(SR.ExceptionPeriodShortParameterIsNegative);
|
|||
|
|
|
|||
|
|
// Int64 Period
|
|||
|
|
int longPeriod;
|
|||
|
|
if (parameterList.Length < 2 ||
|
|||
|
|
!int.TryParse(parameterList[1], NumberStyles.Any, CultureInfo.InvariantCulture, out longPeriod))
|
|||
|
|
{
|
|||
|
|
longPeriod = 26;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
if( longPeriod <= 0 )
|
|||
|
|
throw new InvalidOperationException(SR.ExceptionPeriodLongParameterIsNegative);
|
|||
|
|
|
|||
|
|
if( longPeriod <= shortPeriod )
|
|||
|
|
throw new InvalidOperationException(SR.ExceptionIndicatorsLongPeriodLessThenShortPeriod);
|
|||
|
|
|
|||
|
|
double [] longAverage; // Int64 Average
|
|||
|
|
double [] shortAverage; // Short Average
|
|||
|
|
|
|||
|
|
// Find Int64 exponential moving average
|
|||
|
|
ExponentialMovingAverage( inputValues[1], out longAverage, longPeriod, false );
|
|||
|
|
|
|||
|
|
// Find Short exponential moving average
|
|||
|
|
ExponentialMovingAverage( inputValues[1], out shortAverage, shortPeriod, false );
|
|||
|
|
|
|||
|
|
outputValues = new double [2][];
|
|||
|
|
|
|||
|
|
outputValues[0] = new double [inputValues[0].Length - longPeriod + 1];
|
|||
|
|
outputValues[1] = new double [inputValues[0].Length - longPeriod + 1];
|
|||
|
|
|
|||
|
|
// Calculate MovingAverageConvergenceDivergence
|
|||
|
|
int outIndex = 0;
|
|||
|
|
for( int index = longPeriod - 1; index < inputValues[0].Length; index++ )
|
|||
|
|
{
|
|||
|
|
// set X value
|
|||
|
|
outputValues[0][outIndex] = inputValues[0][index];
|
|||
|
|
|
|||
|
|
// set Y value
|
|||
|
|
outputValues[1][outIndex] = shortAverage[ outIndex + longPeriod - shortPeriod ] - longAverage[outIndex];
|
|||
|
|
|
|||
|
|
outIndex++;
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// The CCI is a timing system that is best applied to commodity contracts which
|
|||
|
|
/// have cyclical or seasonal tendencies. CCI does not determine the length of
|
|||
|
|
/// cycles - it is designed to detect when such cycles begin and end through
|
|||
|
|
/// the use of a statistical analysis which incorporates a moving average and a divisor
|
|||
|
|
/// reflecting both the possible and actual trading ranges. Although developed primarily
|
|||
|
|
/// for commodities, the CCI could conceivably be used to analyze stocks as well. The
|
|||
|
|
/// Commodity Channel Index ("CCI") measures the variation of a security<74>s price from
|
|||
|
|
/// its statistical mean. High values show that prices are unusually high compared to
|
|||
|
|
/// average prices whereas low values indicate that prices are unusually low.
|
|||
|
|
/// 1. Calculate today's Typical Price (TP) = (H+L+C)/3 where H = high; L = low, and C = close.
|
|||
|
|
/// 2. Calculate today's 20-day Simple Moving Average of the Typical Price (SMATP).
|
|||
|
|
/// 3. Calculate today's Mean Deviation. First, calculate the absolute value of the difference
|
|||
|
|
/// between today's SMATP and the typical price for each of the past 20 days.
|
|||
|
|
/// Add all of these absolute values together and divide by 20 to find the Mean Deviation.
|
|||
|
|
/// 4. The final step is to apply the Typical Price (TP), the Simple Moving Average of the
|
|||
|
|
/// Typical Price (SMATP), the Mean Deviation and a Constant (.015).
|
|||
|
|
/// ---------------------------------------------------------
|
|||
|
|
/// Input:
|
|||
|
|
/// - 3 Y values ( Hi, Low, Close ).
|
|||
|
|
/// Output:
|
|||
|
|
/// - 1 Y value ( CCI ).
|
|||
|
|
/// Parameters:
|
|||
|
|
/// - Periods = is used to configure the number of periods to calculate the CCI. By default the Periods property is set to 10.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="inputValues">Arrays of doubles - Input values</param>
|
|||
|
|
/// <param name="outputValues">Arrays of doubles - Output values</param>
|
|||
|
|
/// <param name="parameterList">Array of strings - Parameters</param>
|
|||
|
|
private void CommodityChannelIndex(double [][] inputValues, out double [][] outputValues, string [] parameterList)
|
|||
|
|
{
|
|||
|
|
// There is no enough input series
|
|||
|
|
if( inputValues.Length != 4 )
|
|||
|
|
throw new ArgumentException( SR.ExceptionPriceIndicatorsFormulaRequiresThreeArrays);
|
|||
|
|
|
|||
|
|
// Different number of x and y values
|
|||
|
|
CheckNumOfValues( inputValues, 3 );
|
|||
|
|
|
|||
|
|
// Period
|
|||
|
|
int period;
|
|||
|
|
if (parameterList.Length < 1 ||
|
|||
|
|
!int.TryParse(parameterList[0], NumberStyles.Any, CultureInfo.InvariantCulture, out period))
|
|||
|
|
{
|
|||
|
|
period = 10;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
if( period <= 0 )
|
|||
|
|
throw new InvalidOperationException(SR.ExceptionPeriodParameterIsNegative);
|
|||
|
|
|
|||
|
|
// Typical Price
|
|||
|
|
double [] typicalPrice = new double[inputValues[0].Length];
|
|||
|
|
|
|||
|
|
// Typical Price loop
|
|||
|
|
for( int index = 0; index < inputValues[0].Length; index++ )
|
|||
|
|
{
|
|||
|
|
typicalPrice[index] = ( inputValues[1][index] + inputValues[2][index] + inputValues[3][index] ) / 3.0;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
// Moving Average
|
|||
|
|
double [] movingAverage;
|
|||
|
|
|
|||
|
|
// Simple Moving Average of the Typical Price
|
|||
|
|
MovingAverage( typicalPrice, out movingAverage, period, false );
|
|||
|
|
|
|||
|
|
// Calculate today's Mean Deviation. First, calculate the absolute value
|
|||
|
|
// of the difference between today's SMATP and the typical price for each
|
|||
|
|
// of the past 20 days. Add all of these absolute values together and
|
|||
|
|
// divide by 20 to find the Mean Deviation.
|
|||
|
|
|
|||
|
|
// Mean Deviation
|
|||
|
|
double [] meanDeviation = new double[movingAverage.Length];
|
|||
|
|
|
|||
|
|
double sum =0;
|
|||
|
|
for( int index = 0; index < movingAverage.Length; index++ )
|
|||
|
|
{
|
|||
|
|
sum = 0;
|
|||
|
|
for( int indexSum = index; indexSum < index + period; indexSum++ )
|
|||
|
|
{
|
|||
|
|
sum += Math.Abs( movingAverage[index] - typicalPrice[indexSum] );
|
|||
|
|
}
|
|||
|
|
meanDeviation[index] = sum / period;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
outputValues = new double [2][];
|
|||
|
|
|
|||
|
|
outputValues[0] = new double [meanDeviation.Length];
|
|||
|
|
outputValues[1] = new double [meanDeviation.Length];
|
|||
|
|
|
|||
|
|
|
|||
|
|
for( int index = 0; index < meanDeviation.Length; index++ )
|
|||
|
|
{
|
|||
|
|
// Set X values
|
|||
|
|
outputValues[0][index] = inputValues[0][index + period - 1];
|
|||
|
|
|
|||
|
|
// Set Y values
|
|||
|
|
outputValues[1][index] = ( typicalPrice[index + period - 1] - movingAverage[index] ) / ( 0.015 * meanDeviation[index] );
|
|||
|
|
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
#endregion
|
|||
|
|
|
|||
|
|
#region Methods
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// Default constructor
|
|||
|
|
/// </summary>
|
|||
|
|
public GeneralTechnicalIndicators()
|
|||
|
|
{
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/// <summary>
|
|||
|
|
/// The first method in the module, which converts a formula
|
|||
|
|
/// name to the corresponding private method.
|
|||
|
|
/// </summary>
|
|||
|
|
/// <param name="formulaName">String which represent a formula name</param>
|
|||
|
|
/// <param name="inputValues">Arrays of doubles - Input values</param>
|
|||
|
|
/// <param name="outputValues">Arrays of doubles - Output values</param>
|
|||
|
|
/// <param name="parameterList">Array of strings - Formula parameters</param>
|
|||
|
|
/// <param name="extraParameterList">Array of strings - Extra Formula parameters from DataManipulator object</param>
|
|||
|
|
/// <param name="outLabels">Array of strings - Used for Labels. Description for output results.</param>
|
|||
|
|
override public void Formula( string formulaName, double [][] inputValues, out double [][] outputValues, string [] parameterList, string [] extraParameterList, out string [][] outLabels )
|
|||
|
|
{
|
|||
|
|
string name;
|
|||
|
|
outputValues = null;
|
|||
|
|
|
|||
|
|
name = formulaName.ToUpper(System.Globalization.CultureInfo.InvariantCulture);
|
|||
|
|
|
|||
|
|
// Not used for these formulas.
|
|||
|
|
outLabels = null;
|
|||
|
|
|
|||
|
|
try
|
|||
|
|
{
|
|||
|
|
switch( name )
|
|||
|
|
{
|
|||
|
|
case "STANDARDDEVIATION":
|
|||
|
|
StandardDeviation( inputValues, out outputValues, parameterList, extraParameterList );
|
|||
|
|
break;
|
|||
|
|
case "AVERAGETRUERANGE":
|
|||
|
|
AverageTrueRange( inputValues, out outputValues, parameterList );
|
|||
|
|
break;
|
|||
|
|
case "EASEOFMOVEMENT":
|
|||
|
|
EaseOfMovement( inputValues, out outputValues );
|
|||
|
|
break;
|
|||
|
|
case "MASSINDEX":
|
|||
|
|
MassIndex( inputValues, out outputValues, parameterList );
|
|||
|
|
break;
|
|||
|
|
case "PERFORMANCE":
|
|||
|
|
Performance( inputValues, out outputValues );
|
|||
|
|
break;
|
|||
|
|
case "RATEOFCHANGE":
|
|||
|
|
RateOfChange( inputValues, out outputValues, parameterList );
|
|||
|
|
break;
|
|||
|
|
case "RELATIVESTRENGTHINDEX":
|
|||
|
|
RelativeStrengthIndex( inputValues, out outputValues, parameterList );
|
|||
|
|
break;
|
|||
|
|
case "TRIPLEEXPONENTIALMOVINGAVERAGE":
|
|||
|
|
Trix( inputValues, out outputValues, parameterList );
|
|||
|
|
break;
|
|||
|
|
case "MOVINGAVERAGECONVERGENCEDIVERGENCE":
|
|||
|
|
Macd( inputValues, out outputValues, parameterList );
|
|||
|
|
break;
|
|||
|
|
case "COMMODITYCHANNELINDEX":
|
|||
|
|
CommodityChannelIndex( inputValues, out outputValues, parameterList );
|
|||
|
|
break;
|
|||
|
|
default:
|
|||
|
|
outputValues = null;
|
|||
|
|
break;
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
catch( IndexOutOfRangeException )
|
|||
|
|
{
|
|||
|
|
throw new InvalidOperationException( SR.ExceptionFormulaInvalidPeriod( name ) );
|
|||
|
|
}
|
|||
|
|
catch( OverflowException )
|
|||
|
|
{
|
|||
|
|
throw new InvalidOperationException( SR.ExceptionFormulaNotEnoughDataPoints( name ) );
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
#endregion
|
|||
|
|
}
|
|||
|
|
}
|