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markov

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This commit is contained in:
Esiur Project
2023-03-28 00:59:26 +03:00
parent 5a9abe4084
commit 1c440adf43
8 changed files with 255 additions and 14 deletions
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34
Esiur.Analysis.Test/FGraph.Designer.cs generated
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@@ -28,19 +28,49 @@
/// </summary>
private void InitializeComponent()
{
this.button1 = new System.Windows.Forms.Button();
this.pbDraw = new System.Windows.Forms.PictureBox();
((System.ComponentModel.ISupportInitialize)(this.pbDraw)).BeginInit();
this.SuspendLayout();
//
// button1
//
this.button1.Location = new System.Drawing.Point(468, 409);
this.button1.Name = "button1";
this.button1.Size = new System.Drawing.Size(75, 23);
this.button1.TabIndex = 0;
this.button1.Text = "Step";
this.button1.UseVisualStyleBackColor = true;
this.button1.Click += new System.EventHandler(this.button1_Click);
//
// pbDraw
//
this.pbDraw.BorderStyle = System.Windows.Forms.BorderStyle.FixedSingle;
this.pbDraw.Location = new System.Drawing.Point(36, 40);
this.pbDraw.Name = "pbDraw";
this.pbDraw.Size = new System.Drawing.Size(639, 345);
this.pbDraw.TabIndex = 1;
this.pbDraw.TabStop = false;
this.pbDraw.Paint += new System.Windows.Forms.PaintEventHandler(this.pbDraw_Paint);
//
// FGraph
//
this.AutoScaleDimensions = new System.Drawing.SizeF(8F, 20F);
this.AutoScaleDimensions = new System.Drawing.SizeF(7F, 15F);
this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font;
this.ClientSize = new System.Drawing.Size(838, 494);
this.ClientSize = new System.Drawing.Size(729, 459);
this.Controls.Add(this.pbDraw);
this.Controls.Add(this.button1);
this.Margin = new System.Windows.Forms.Padding(3, 2, 3, 2);
this.Name = "FGraph";
this.Text = "FGraph";
((System.ComponentModel.ISupportInitialize)(this.pbDraw)).EndInit();
this.ResumeLayout(false);
}
#endregion
private Button button1;
private PictureBox pbDraw;
}
}

88
Esiur.Analysis.Test/FGraph.cs
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@@ -1,4 +1,5 @@
using System;
using Esiur.Analysis.Graph;
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
@@ -12,9 +13,94 @@ namespace Esiur.Analysis.Test
{
public partial class FGraph : Form
{
DirectedGraph<decimal> graph;
int step = 0;
public FGraph()
{
graph = new DirectedGraph<decimal>();
var n1 = graph.AddNode(1, "1", 80, 120);
var n2 = graph.AddNode(2, "2", 300, 120);
graph.Link(n1, n2, (decimal)0.5, "1->2");
graph.Link(n1, n1, (decimal)0.5, "1->1");
graph.Link(n2, n1, (decimal)0.2, "2->1");
graph.Link(n2, n2, (decimal)0.8, "2->2");
graph.Build();
InitializeComponent();
}
private void button1_Click(object sender, EventArgs e)
{
graph.Step();
step++;
pbDraw.Refresh();
}
private void pbDraw_Paint(object sender, PaintEventArgs e)
{
var pen = new Pen(Brushes.Red, 4);
var g = e.Graphics;
g.FillRectangle(Brushes.White, 0, 0, pbDraw.Width, pbDraw.Height);
// update label
foreach (var edge in graph.Edges)
{
DrawArcBetweenTwoPoints(g, pen, new PointF(edge.SourceNode.X, edge.SourceNode.Y),
new PointF(edge.DestinationNode.X, edge.DestinationNode.Y), edge.Label + " " + Math.Round( edge.Weight, 4));
}
foreach (var node in graph.Nodes)
{
g.FillEllipse(Brushes.LightGreen, node.X - 30, node.Y - 30, 60, 60);
g.DrawString(node.Label, new Font("Arial", 26), Brushes.Blue, node.X - 15, node.Y - 20);
}
g.DrawString("Step " + step, new Font("Arial", 26), Brushes.Orange, new PointF(20, pbDraw.Height - 50));
g.Flush();
}
public void DrawArcBetweenTwoPoints(Graphics g, Pen pen, PointF a, PointF b, string label)
{
if (a.X == b.X && a.Y == b.Y)
{
var c = new PointF(a.X, a.Y - 60);
// draw
g.DrawString(label, new Font("Arial", 14), Brushes.Black, new PointF(c.X, c.Y - 25));
g.DrawCurve(pen, new PointF[] { a, new PointF(a.X - 30, a.Y - 30), c, new PointF(a.X + 30, a.Y - 30), a });
}
else
{
if (b.X > a.X)
{
var c = new PointF(a.X + ((b.X - a.X) / 2), a.Y - 20);
g.DrawCurve(pen, new PointF[] { a, c, b });
g.DrawString(label, new Font("Arial", 14), Brushes.Black, new PointF( c.X - 30, c.Y - 25));
}
else
{
var c = new PointF(b.X + ((a.X - b.X) / 2), b.Y + 20);
g.DrawCurve(pen, new PointF[] { b, c, a });
g.DrawString(label, new Font("Arial", 14), Brushes.Black, new PointF(c.X - 30, c.Y + 5));
}
}
}
}
}

26
Esiur.Analysis.Test/Program.cs
View File

@@ -3,6 +3,7 @@ using System.Net.Sockets;
using System.Text;
using Esiur.Analysis.Coding;
using Esiur.Analysis.DSP;
using Esiur.Analysis.Graph;
using Esiur.Analysis.Signals;
/*
@@ -31,6 +32,7 @@ SOFTWARE.
using Esiur.Analysis.Signals.Codes;
using Esiur.Data;
using Esiur.Resource;
using ScottPlot.Statistics.Interpolation;
namespace Esiur.Analysis.Test
{
@@ -45,6 +47,28 @@ namespace Esiur.Analysis.Test
static void Main()
{
var graph = new DirectedGraph<double>();
var n1 = graph.AddNode(1, "1", 10, 10);
var n2 = graph.AddNode(2, "2", 20, 10);
graph.Link(n1, n2, 0.5, "1->2");
graph.Link(n1, n1, 0.5, "1->1");
graph.Link(n2, n1, 0.2, "2->1");
graph.Link(n2, n2, 0.8, "2->2");
var matrix = new Matrix<double>(new double[,] { { 0.5, 0.5 }, { 0.2, 0.8 } });
var m = matrix;
for(var i = 0; i < 3; i++)
{
m = m * m;
Console.WriteLine(m);
}
var msg = Encoding.ASCII.GetBytes("A_DEAD_DAD_CEDED_A_BAD_BABE_A_BEADED_ABACA_BED").Select(x => CodeWord<Base2>.FromByte(x)).ToArray();// <Base2>());
// convert msg to codewords
@@ -78,7 +102,7 @@ namespace Esiur.Analysis.Test
// To customize application configuration such as set high DPI settings or default font,
// see https://aka.ms/applicationconfiguration.
ApplicationConfiguration.Initialize();
Application.Run(new FSoft());
Application.Run(new FGraph());
}
}
}

6
Esiur.Analysis/Esiur.Analysis.csproj
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@@ -1,4 +1,4 @@
<Project Sdk="Microsoft.NET.Sdk">
<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<TargetFramework>netstandard2.1</TargetFramework>
@@ -20,6 +20,10 @@
<None Include="Fuzzy\FuzzyRule.cs" />
</ItemGroup>
<ItemGroup>
<PackageReference Include="Microsoft.CSharp" Version="4.7.0" />
</ItemGroup>
<ItemGroup>
<ProjectReference Include="..\Esiur\Esiur.csproj" />
</ItemGroup>

66
Esiur.Analysis/Graph/DirectedGraph.cs
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@@ -1,15 +1,75 @@
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace Esiur.Analysis.Graph
{
public class DirectedGraph <T>: IGraph
public class DirectedGraph <T>: IGraph where T:struct
{
public Node<T>[] Nodes { get; set; }
public Edge<T>[] Edges { get; set; }
public List<Node<T>> Nodes { get;} = new List<Node<T>>();
public List<Edge<T>> Edges { get; }= new List<Edge<T>>();
public void Link(Node<T> source, Node<T> destination , T weight, string label)
{
var edge = new Edge<T>() { SourceNode = source, DestinationNode = destination, Weight = weight, Label = label };
Edges.Add(edge);
source.Destinations.Add(edge);
destination.Sources.Add(edge);
}
public Node<T> AddNode(T value, string label, int x, int y)
{
var n = new Node<T>() { Value = value, Label = label, X = x, Y = y };
Nodes.Add(n);
return n;
}
public Matrix<T> TransitionMatrix { get; private set; }
public Matrix<T> CurrentStep { get; private set; }
public Edge<T>[,] EdgesMatrix { get; private set; }
public void Build()
{
// create matrix
var m = new T[Nodes.Count, Nodes.Count];
var e = new Edge<T>[Nodes.Count, Nodes.Count];
for(var i = 0; i < Nodes.Count; i++)
{
for(var j = 0; j < Nodes.Count; j++)
{
var link = Edges.FirstOrDefault(x => x.SourceNode == Nodes[i] && x.DestinationNode == Nodes[j]);
if (link == null)
m[i, j] = default(T);
else
{
m[i, j] = link.Weight;
e[i, j] = link;
}
}
}
TransitionMatrix = new Matrix<T>(m);
CurrentStep = TransitionMatrix;
EdgesMatrix = e;
}
public void Step()
{
CurrentStep *= CurrentStep;
// update weights
for(var i = 0; i < CurrentStep.Rows; i++)
for(var j = 0; j < CurrentStep.Columns; j++)
{
if (EdgesMatrix[i, j] != null)
EdgesMatrix[i, j].Weight = CurrentStep[i, j];
}
}
}
}

8
Esiur.Analysis/Graph/Edge.cs
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@@ -6,7 +6,11 @@ namespace Esiur.Analysis.Graph
{
public class Edge<T>
{
public T SourceNode { get; set; }
public T DestinationNode { get; set; }
public Node<T> SourceNode { get; set; }
public Node<T> DestinationNode { get; set; }
public T Weight { get; set; }
public string Label { get; set; }
}
}

34
Esiur.Analysis/Graph/TransitionMatrix.cs → Esiur.Analysis/Graph/Matrix.cs
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@@ -1,7 +1,6 @@
using System;
using System.Collections.Generic;
using System.Reflection.Metadata.Ecma335;
using System.Security.Cryptography.X509Certificates;
using System.Data.Common;
using System.Text;
namespace Esiur.Analysis.Graph
@@ -20,6 +19,33 @@ namespace Esiur.Analysis.Graph
this.value = value;
}
public static Matrix<T> operator *(Matrix<T> a, Matrix<T> b)
=> Multiply(a, b);
public Matrix<T> Pow(int power)
{
var rt = this;
for (var i = 1; i < power; i++)
rt = rt * rt;
return rt;
}
public override string ToString()
{
var rt = "";
for (var i = 0; i < Rows; i++)
{
rt += "|";
for (var j = 0; j < Columns - 1; j++)
rt += value[i, j] + ",";
rt += value[i, Columns - 1] + "|";
}
return rt;
}
public static Matrix<T> Multiply<T>(Matrix<T> a, Matrix<T> b) where T : struct
{
@@ -36,7 +62,9 @@ namespace Esiur.Analysis.Graph
{ // bColumn
for (int k = 0; k < a.Columns; k++)
{ // aColumn
rt[i, j] += a[i, k] * b[k, j];
dynamic aValue = a[i, k];
dynamic bValue = b[k, j];
rt[i, j] += aValue * bValue;// a[i, k] * b[k, j];
}
}
}

5
Esiur.Analysis/Graph/Node.cs
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@@ -10,5 +10,10 @@ namespace Esiur.Analysis.Graph
public int X { get; set; }
public int Y { get; set; }
public string Label { get; set; }
public List<Edge<T>> Destinations { get; } = new List<Edge<T>>();
public List<Edge<T>> Sources { get; } = new List<Edge<T>>();
}
}