Base/Abstract/IConvertEquation.cs

@@ -2,7 +2,9 @@
 
 namespace Graphing.Abstract;
 
-public interface IEquationConvertible
+public interface IConvertEquation
 {
+    public bool UngraphWhenConvertedToEquation { get; }
+
     public Equation ToEquation();
 }

Base/Abstract/IConvertSlopeField.cs

@@ -0,0 +1,10 @@
+using Graphing.Graphables;
+
+namespace Graphing.Abstract;
+
+public interface IConvertSlopeField
+{
+    public bool UngraphWhenConvertedToSlopeField { get; }
+
+    public SlopeField ToSlopeField(int detail);
+}

Base/Forms/GraphForm.Designer.cs

@@ -44,12 +44,13 @@ namespace Graphing.Forms
             MenuOperations = new ToolStripMenuItem();
             MenuOperationsDerivative = new ToolStripMenuItem();
             MenuOperationsIntegral = new ToolStripMenuItem();
+            MenuOperationsTranslate = new ToolStripMenuItem();
             MenuConvert = new ToolStripMenuItem();
             MenuConvertEquation = new ToolStripMenuItem();
             MenuMisc = new ToolStripMenuItem();
             MenuMiscCaches = new ToolStripMenuItem();
             MiscMenuPreload = new ToolStripMenuItem();
-            MenuOperationsTranslate = new ToolStripMenuItem();
+            MenuConvertSlopeField = new ToolStripMenuItem();
             GraphMenu.SuspendLayout();
             SuspendLayout();
             // 
@@ -121,13 +122,13 @@ namespace Graphing.Forms
             // MenuElementsColors
             // 
             MenuElementsColors.Name = "MenuElementsColors";
-            MenuElementsColors.Size = new Size(359, 44);
+            MenuElementsColors.Size = new Size(233, 44);
             MenuElementsColors.Text = "Colors";
             // 
             // MenuElementsRemove
             // 
             MenuElementsRemove.Name = "MenuElementsRemove";
-            MenuElementsRemove.Size = new Size(359, 44);
+            MenuElementsRemove.Size = new Size(233, 44);
             MenuElementsRemove.Text = "Remove";
             // 
             // MenuOperations
@@ -149,9 +150,15 @@ namespace Graphing.Forms
             MenuOperationsIntegral.Size = new Size(360, 44);
             MenuOperationsIntegral.Text = "Compute Integral";
             // 
+            // MenuOperationsTranslate
+            // 
+            MenuOperationsTranslate.Name = "MenuOperationsTranslate";
+            MenuOperationsTranslate.Size = new Size(360, 44);
+            MenuOperationsTranslate.Text = "Translate";
+            // 
             // MenuConvert
             // 
-            MenuConvert.DropDownItems.AddRange(new ToolStripItem[] { MenuConvertEquation });
+            MenuConvert.DropDownItems.AddRange(new ToolStripItem[] { MenuConvertEquation, MenuConvertSlopeField });
             MenuConvert.Name = "MenuConvert";
             MenuConvert.Size = new Size(118, 38);
             MenuConvert.Text = "Convert";
@@ -159,7 +166,7 @@ namespace Graphing.Forms
             // MenuConvertEquation
             // 
             MenuConvertEquation.Name = "MenuConvertEquation";
-            MenuConvertEquation.Size = new Size(273, 44);
+            MenuConvertEquation.Size = new Size(359, 44);
             MenuConvertEquation.Text = "To Equation";
             // 
             // MenuMisc
@@ -183,11 +190,11 @@ namespace Graphing.Forms
             MiscMenuPreload.Text = "Preload Cache";
             MiscMenuPreload.Click += MiscMenuPreload_Click;
             // 
-            // MenuOperationsTranslate
+            // MenuConvertSlopeField
             // 
-            MenuOperationsTranslate.Name = "MenuOperationsTranslate";
+            MenuConvertSlopeField.Name = "MenuConvertSlopeField";
-            MenuOperationsTranslate.Size = new Size(360, 44);
+            MenuConvertSlopeField.Size = new Size(359, 44);
-            MenuOperationsTranslate.Text = "Translate";
+            MenuConvertSlopeField.Text = "To Slope Field";
             // 
             // GraphForm
             // 
@@ -226,5 +233,6 @@ namespace Graphing.Forms
         private ToolStripMenuItem MenuElementsColors;
         private ToolStripMenuItem MenuElementsRemove;
         private ToolStripMenuItem MenuOperationsTranslate;
+        private ToolStripMenuItem MenuConvertSlopeField;
     }
 }

Base/Forms/GraphForm.cs

@@ -369,6 +369,7 @@ public partial class GraphForm : Form
         MenuOperationsDerivative.DropDownItems.Clear();
         MenuOperationsIntegral.DropDownItems.Clear();
         MenuConvertEquation.DropDownItems.Clear();
+        MenuConvertSlopeField.DropDownItems.Clear();
         MenuOperationsTranslate.DropDownItems.Clear();
 
         foreach (Graphable able in ables)
@@ -409,7 +410,7 @@ public partial class GraphForm : Form
                 integralItem.Click += (o, e) => Graph(integrable.Integrate());
                 MenuOperationsIntegral.DropDownItems.Add(integralItem);
             }
-            if (able is IEquationConvertible equConvert)
+            if (able is IConvertEquation equConvert)
             {
                 ToolStripMenuItem equItem = new()
                 {
@@ -418,11 +419,25 @@ public partial class GraphForm : Form
                 };
                 equItem.Click += (o, e) =>
                 {
-                    Ungraph(able);
+                    if (equConvert.UngraphWhenConvertedToEquation) Ungraph(able);
                     Graph(equConvert.ToEquation());
                 };
                 MenuConvertEquation.DropDownItems.Add(equItem);
             }
+            if (able is IConvertSlopeField sfConvert)
+            {
+                ToolStripMenuItem sfItem = new()
+                {
+                    ForeColor = able.Color,
+                    Text = able.Name
+                };
+                sfItem.Click += (o, e) =>
+                {
+                    if (sfConvert.UngraphWhenConvertedToSlopeField) Ungraph(able);
+                    Graph(sfConvert.ToSlopeField(2));
+                };
+                MenuConvertSlopeField.DropDownItems.Add(sfItem);
+            }
             if (able is ITranslatable translatable)
             {
                 ToolStripMenuItem transItem = new()
@@ -538,8 +553,6 @@ public partial class GraphForm : Form
             Version curVersion = Version.Parse(Assembly.GetAssembly(typeof(GraphForm))!.FullName!.Split(',')[1].Trim()[8..^2]);
             Version newVersion = Version.Parse(latest["tag_name"]!.GetValue<string>());
 
-            curVersion = Version.Parse("1.0.0");
-
             if (newVersion > curVersion)
             {
                 // Updates are required.

Base/Graphables/Equation.cs

@@ -6,10 +6,12 @@ using System.Collections.Generic;
 
 namespace Graphing.Graphables;
 
-public class Equation : Graphable, IIntegrable, IDerivable, ITranslatableXY
+public class Equation : Graphable, IIntegrable, IDerivable, ITranslatableXY, IConvertSlopeField
 {
     private static int equationNum;
 
+    public bool UngraphWhenConvertedToSlopeField => false;
+
     public double OffsetX { get; set; }
     public double OffsetY { get; set; }
 
@@ -60,15 +62,23 @@ public class Equation : Graphable, IIntegrable, IDerivable, ITranslatableXY
         return lines;
     }
 
-    public Graphable Derive() => new Equation(x =>
+    protected double DerivativeAtPoint(double x)
     {
         const double step = 1e-3;
         return (equ(x + step) - equ(x)) / step;
-    });
+    }
+
+    public Graphable Derive() => new Equation(DerivativeAtPoint);
     public Graphable Integrate() => new IntegralEquation(this);
 
     public EquationDelegate GetDelegate() => equ;
 
+    public SlopeField ToSlopeField(int detail) => new(detail, (x, y) => DerivativeAtPoint(x))
+    {
+        Color = Color,
+        Name = $"Slope Field of {Name}"
+    };
+
     public override void EraseCache() => cache.Clear();
     protected double GetFromCache(double x, double epsilon)
     {

Base/Graphables/EquationDifference.cs

@@ -5,8 +5,10 @@ using System.Collections.Generic;
 
 namespace Graphing.Graphables;
 
-public class EquationDifference : Graphable, ITranslatableX, IEquationConvertible
+public class EquationDifference : Graphable, ITranslatableX, IConvertEquation
 {
+    public bool UngraphWhenConvertedToEquation => true;
+
     public double Position
     {
         get => _position;

Base/Graphables/TangentLine.cs

@@ -6,8 +6,10 @@ using System.Collections.Generic;
 
 namespace Graphing.Graphables;
 
-public class TangentLine : Graphable, IEquationConvertible, ITranslatableX
+public class TangentLine : Graphable, IConvertEquation, ITranslatableX
 {
+    public bool UngraphWhenConvertedToEquation => true;
+
     public double Position
     {
         get => _position;