Adds curvature for backwards edges in Tikz

MainWindow.xaml.cs

@@ -272,7 +272,7 @@ namespace FlowForge
             }
         }
         
-        private string GenerateTikzCode()
+        private string GenerateTikzCode_Curved()
 {
     if (_flowGraph == null)
         throw new InvalidOperationException("Flow graph is not initialized.");
@@ -305,7 +305,17 @@ namespace FlowForge
     foreach (var edge in _flowGraph.GetEdges())
     {
         string label = $"{edge.Residual}/{edge.MaxFlow}";
-                tikzBuilder.AppendLine($"\\path[every node/.style={{font=\\tiny}}] ({edge.Source.Id}) edge node {{\\texttt{{{label}}}}} ({edge.Target.Id});");
+
+        if (edge.IsBackwards)
+        {
+            // Reverse edge styling (curved, dashed, different color)
+            tikzBuilder.AppendLine($"\\path[every node/.style={{font=\\tiny}},bend right,dashed,red] ({edge.Source.Id}) edge [pos=0.5,sloped] node {{\\texttt{{{label}}}}} ({edge.Target.Id});");
+        }
+        else
+        {
+            // Normal edge styling
+            tikzBuilder.AppendLine($"\\path[every node/.style={{font=\\tiny}}] ({edge.Source.Id}) edge [pos=0.5,sloped] node {{\\texttt{{{label}}}}} ({edge.Target.Id});");
+        }
     }
 
     tikzBuilder.AppendLine("\\end{tikzpicture}");
@@ -314,14 +324,64 @@ namespace FlowForge
     return tikzBuilder.ToString();
 }
 
+        private string GenerateTikzCode()
+{
+    if (_flowGraph == null)
+        throw new InvalidOperationException("Flow graph is not initialized.");
+
+    var tikzBuilder = new System.Text.StringBuilder();
+    tikzBuilder.AppendLine("\\documentclass[tikz,border=3mm]{standalone}");
+    tikzBuilder.AppendLine("\\usetikzlibrary{arrows.meta,positioning}");
+    tikzBuilder.AppendLine("\\usepackage{amsmath}");
+    tikzBuilder.AppendLine("\\begin{document}");
+    
+    // Global scaling and styles for smaller nodes and text
+    tikzBuilder.AppendLine("\\begin{tikzpicture}[scale=3,->,>=stealth,shorten >=1pt,auto,node distance=2cm,thick,");
+    tikzBuilder.AppendLine("main node/.style={circle,draw,minimum size=1mm,inner sep=1pt,font=\\scriptsize}]");
+
+    // Nodes
+    foreach (var vertex in _flowGraph.Graph.Vertices)
+    {
+        if (_nodePositions.ContainsKey(vertex.Id))
+        {
+            var position = _nodePositions[vertex.Id];
+            // Format x and y as floating-point values with two decimal places
+            string formattedX = (position.X / 100.0).ToString("F2", System.Globalization.CultureInfo.InvariantCulture);
+            string formattedY = (position.Y / 100.0).ToString("F2", System.Globalization.CultureInfo.InvariantCulture);
+
+            tikzBuilder.AppendLine($"\\node[main node] ({vertex.Id}) at ({formattedX},{formattedY}) {{{vertex.Id}}};");
+        }
+    }
+
+    // Edges
+    foreach (var edge in _flowGraph.GetEdges())
+    {
+        string label = $"{edge.Residual}/{edge.MaxFlow}";
+
+        if (edge.IsBackwards)
+        {
+            // Reverse edge styling: offset slightly above forward edges
+            tikzBuilder.AppendLine($"\\path[every node/.style={{font=\\tiny}},dashed,red] ({edge.Source.Id}) edge [pos=0.5,above] node {{\\texttt{{{label}}}}} ({edge.Target.Id});");
+        }
+        else
+        {
+            // Normal edge styling
+            tikzBuilder.AppendLine($"\\path[every node/.style={{font=\\tiny}}] ({edge.Source.Id}) edge [pos=0.5,below] node {{\\texttt{{{label}}}}} ({edge.Target.Id});");
+        }
+    }
+
+    tikzBuilder.AppendLine("\\end{tikzpicture}");
+    tikzBuilder.AppendLine("\\end{document}");
 
+    return tikzBuilder.ToString();
+}
 
         
         private void ExportGraphToLatex(string filePath)
         {
             try
             {
-                string tikzCode = GenerateTikzCode();
+                string tikzCode = GenerateTikzCode_Curved();
                 System.IO.File.WriteAllText(filePath, tikzCode);
                 MessageBox.Show($"Graph successfully exported to LaTeX file:\n{filePath}", "Export Successful", MessageBoxButton.OK, MessageBoxImage.Information);
             }