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Common/DTS.Common.Utilities/Math.Iso.Differentiation.cs

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+/*
+Math.Iso.Differentiation.cs
+
+24 November 2009 - Adapted from old Dave codebase to generic DTS utility, with 
+                   appropriate name change.
+ 
+$Log: Math.Iso.ChannelDifferentiation.cs,v $
+Revision 1.3  2007/04/20 17:40:42  Paul Hrissikopoulos
+Fixed bad range checking in sample rate property set accessor.
+
+Revision 1.2  2007/02/05 17:17:08  Paul Hrissikopoulos
+Finished installing generic channel math framework + basic calculus operations.
+
+Revision 1.1  2007/02/02 22:34:09  Paul Hrissikopoulos
+Added framework for DAVE channel math operators.
+
+Copyright © 2007
+Diversified Technical Systems, Inc.
+All Rights Reserved
+*/
+
+using System;
+using System.Collections.Generic;
+using System.Text;
+using DTS.Common.Utilities;
+using DTS.Common.Utilities.DotNetProgrammingConstructs;
+
+namespace DTS.Common.Utilities.Math.Iso
+{
+    ////////////////////////////////////////////////////////////////////////////////
+    /// <summary>
+    /// Representation of the ISO-based differentiation
+    /// System.Collections.Generic.IList of <see cref="double"/>
+    /// -based operation.
+    /// </summary>
+    public class Differentiation : DoubleListOperation
+    {
+        ////////////////////////////////////////////////////////////////////////////////
+        /// <summary>
+        /// Get/set the <see cref="double"/> time resolution of this differentiation.
+        /// Should probably be the length of one "sample" of digital data seeing as
+        /// we're trying to approximate a continuous domain.
+        /// </summary>
+        public double SampleRate
+        {
+            get => _SampleRate.Value;
+            set => _SampleRate.Value = value;
+        }
+        private Property<double> _SampleRate
+            = new Property<double>(
+                typeof(Differentiation).FullName + ".SampleRate",
+                0.0,
+                false
+            );
+        ////////////////////////////////////////////////////////////////////////////////
+
+        ////////////////////////////////////////////////////////////////////////////////
+        /// <summary>
+        /// Initialize an instance of the Differentiation class.
+        /// </summary>
+        /// 
+        /// <param name="domain">
+        /// The System.Collection.Generic.IList of <see cref="double"/>s
+        /// domain for this operation.
+        /// </param>
+        /// 
+        public Differentiation(IList<double> domain)
+            : base(domain)
+        {
+        }
+        ////////////////////////////////////////////////////////////////////////////////
+
+        ////////////////////////////////////////////////////////////////////////////////
+        /// <summary>
+        /// Initialize an instance of the Iso.ChannelDifferentiation class.
+        /// </summary>
+        ///
+        /// <param name="domain">
+        /// The System.Collections.Generic.IList of <see cref="double"/>s
+        /// domain for this operation.
+        /// </param>
+        /// 
+        /// <param name="sampleRate">
+        /// The <see cref="double"/> sample rate of the data to be differentiated.
+        /// </param>
+        /// 
+        public Differentiation(IList<double> domain, double sampleRate)
+            : this(domain)
+        {
+            try { SampleRate = sampleRate; }
+            catch (System.Exception ex)
+            {
+                throw new Exception("encountered problem constructing " + GetType().FullName, ex);
+            }
+        }
+        ////////////////////////////////////////////////////////////////////////////////
+
+        ////////////////////////////////////////////////////////////////////////////////
+        /// <summary>
+        /// Get the result of the operation on the
+        /// System.Collections.Generic.IList of <see cref="double"/>s
+        /// domain representation.
+        /// </summary>
+        public override IList<double> Range
+        {
+            get
+            {
+                try
+                {
+                    if (null == Domain)
+                        throw new ArgumentNullException("attempted to differentiate null domain reference");
+
+                    else if (0 >= SampleRate)
+                        throw new ArgumentOutOfRangeException("attempted to differentiate with sample rate <= zero");
+
+                    else if (!(Domain is ICloneable))
+                        throw new InvalidCastException("the domain type for " + typeof(Differentiation).FullName + " must be ICloneable");
+
+                    else
+                    {
+                        var IndexOfLastDomainValue = Domain.Count - 1;
+                        var range = ((ICloneable)Domain).Clone() as double[];
+                        var deltaT = SampleRate / 12.0;
+
+                        for (var t = 2; t <= IndexOfLastDomainValue - 2; t++)
+                            range[t] = ((Domain[t + 1] - Domain[t - 1]) * 8
+                                                        - Domain[t + 2] + Domain[t - 2]) * deltaT;
+                        Domain[IndexOfLastDomainValue - 1] = 0;
+                        Domain[IndexOfLastDomainValue] = 0;
+                        Domain[0] = 0;
+                        Domain[1] = 0;
+
+                        return range;
+                    }
+                }
+
+                catch (System.Exception ex)
+                {
+                    throw new Exception("encountered problem doing " + GetType().FullName + " operation", ex);
+                }
+            }
+        }
+        ////////////////////////////////////////////////////////////////////////////////
+    }
+    ////////////////////////////////////////////////////////////////////////////////
+}