Slope field detail changer works.

Base/Base.csproj.user

@@ -16,6 +16,9 @@
     <Compile Update="Forms\SetZoomForm.cs">
       <SubType>Form</SubType>
     </Compile>
+    <Compile Update="Forms\SlopeFieldDetailForm.cs">
+      <SubType>Form</SubType>
+    </Compile>
     <Compile Update="Forms\TranslateForm.cs">
       <SubType>Form</SubType>
     </Compile>

Base/Forms/GraphForm.Designer.cs

@@ -55,6 +55,7 @@ namespace Graphing.Forms
             UpdaterPopupDownloadButton = new Button();
             UpdaterPopupCloseButton = new Button();
             UpdaterPopupMessage = new Label();
+            MenuElementsDetail = new ToolStripMenuItem();
             GraphMenu.SuspendLayout();
             UpdaterPopup.SuspendLayout();
             SuspendLayout();
@@ -63,10 +64,10 @@ namespace Graphing.Forms
             // 
             ResetViewportButton.Anchor = AnchorStyles.Top | AnchorStyles.Right;
             ResetViewportButton.Font = new Font("Segoe UI Emoji", 12F, FontStyle.Regular, GraphicsUnit.Point, 0);
-            ResetViewportButton.Location = new Point(739, 20);
+            ResetViewportButton.Location = new Point(1372, 43);
-            ResetViewportButton.Margin = new Padding(2, 1, 2, 1);
+            ResetViewportButton.Margin = new Padding(4, 2, 4, 2);
             ResetViewportButton.Name = "ResetViewportButton";
-            ResetViewportButton.Size = new Size(34, 30);
+            ResetViewportButton.Size = new Size(63, 64);
             ResetViewportButton.TabIndex = 0;
             ResetViewportButton.Text = "🏠";
             ResetViewportButton.UseVisualStyleBackColor = true;
@@ -78,8 +79,7 @@ namespace Graphing.Forms
             GraphMenu.Items.AddRange(new ToolStripItem[] { MenuViewport, MenuElements, MenuOperations, MenuConvert, MenuMisc });
             GraphMenu.Location = new Point(0, 0);
             GraphMenu.Name = "GraphMenu";
-            GraphMenu.Padding = new Padding(3, 1, 0, 1);
+            GraphMenu.Size = new Size(1449, 42);
-            GraphMenu.Size = new Size(780, 24);
             GraphMenu.TabIndex = 1;
             GraphMenu.Text = "menuStrip1";
             // 
@@ -87,118 +87,118 @@ namespace Graphing.Forms
             // 
             MenuViewport.DropDownItems.AddRange(new ToolStripItem[] { ButtonViewportSetZoom, ButtonViewportSetCenter, ButtonViewportReset, ButtonViewportResetWindow });
             MenuViewport.Name = "MenuViewport";
-            MenuViewport.Size = new Size(66, 22);
+            MenuViewport.Size = new Size(129, 38);
             MenuViewport.Text = "Viewport";
             // 
             // ButtonViewportSetZoom
             // 
             ButtonViewportSetZoom.Name = "ButtonViewportSetZoom";
-            ButtonViewportSetZoom.Size = new Size(174, 22);
+            ButtonViewportSetZoom.Size = new Size(359, 44);
             ButtonViewportSetZoom.Text = "Set Zoom";
             ButtonViewportSetZoom.Click += ButtonViewportSetZoom_Click;
             // 
             // ButtonViewportSetCenter
             // 
             ButtonViewportSetCenter.Name = "ButtonViewportSetCenter";
-            ButtonViewportSetCenter.Size = new Size(174, 22);
+            ButtonViewportSetCenter.Size = new Size(359, 44);
             ButtonViewportSetCenter.Text = "Set Center Position";
             ButtonViewportSetCenter.Click += ButtonViewportSetCenter_Click;
             // 
             // ButtonViewportReset
             // 
             ButtonViewportReset.Name = "ButtonViewportReset";
-            ButtonViewportReset.Size = new Size(174, 22);
+            ButtonViewportReset.Size = new Size(359, 44);
             ButtonViewportReset.Text = "Reset Viewport";
             ButtonViewportReset.Click += ButtonViewportReset_Click;
             // 
             // ButtonViewportResetWindow
             // 
             ButtonViewportResetWindow.Name = "ButtonViewportResetWindow";
-            ButtonViewportResetWindow.Size = new Size(174, 22);
+            ButtonViewportResetWindow.Size = new Size(359, 44);
             ButtonViewportResetWindow.Text = "Reset Window Size";
             ButtonViewportResetWindow.Click += ButtonViewportResetWindow_Click;
             // 
             // MenuElements
             // 
-            MenuElements.DropDownItems.AddRange(new ToolStripItem[] { MenuElementsColors, MenuElementsRemove });
+            MenuElements.DropDownItems.AddRange(new ToolStripItem[] { MenuElementsColors, MenuElementsDetail, MenuElementsRemove });
             MenuElements.Name = "MenuElements";
-            MenuElements.Size = new Size(67, 22);
+            MenuElements.Size = new Size(131, 38);
             MenuElements.Text = "Elements";
             // 
             // MenuElementsColors
             // 
             MenuElementsColors.Name = "MenuElementsColors";
-            MenuElementsColors.Size = new Size(117, 22);
+            MenuElementsColors.Size = new Size(359, 44);
             MenuElementsColors.Text = "Colors";
             // 
             // MenuElementsRemove
             // 
             MenuElementsRemove.Name = "MenuElementsRemove";
-            MenuElementsRemove.Size = new Size(117, 22);
+            MenuElementsRemove.Size = new Size(359, 44);
             MenuElementsRemove.Text = "Remove";
             // 
             // MenuOperations
             // 
             MenuOperations.DropDownItems.AddRange(new ToolStripItem[] { MenuOperationsDerivative, MenuOperationsIntegral, MenuOperationsTranslate });
             MenuOperations.Name = "MenuOperations";
-            MenuOperations.Size = new Size(77, 22);
+            MenuOperations.Size = new Size(151, 38);
             MenuOperations.Text = "Operations";
             // 
             // MenuOperationsDerivative
             // 
             MenuOperationsDerivative.Name = "MenuOperationsDerivative";
-            MenuOperationsDerivative.Size = new Size(179, 22);
+            MenuOperationsDerivative.Size = new Size(360, 44);
             MenuOperationsDerivative.Text = "Compute Derivative";
             // 
             // MenuOperationsIntegral
             // 
             MenuOperationsIntegral.Name = "MenuOperationsIntegral";
-            MenuOperationsIntegral.Size = new Size(179, 22);
+            MenuOperationsIntegral.Size = new Size(360, 44);
             MenuOperationsIntegral.Text = "Compute Integral";
             // 
             // MenuOperationsTranslate
             // 
             MenuOperationsTranslate.Name = "MenuOperationsTranslate";
-            MenuOperationsTranslate.Size = new Size(179, 22);
+            MenuOperationsTranslate.Size = new Size(360, 44);
             MenuOperationsTranslate.Text = "Translate";
             // 
             // MenuConvert
             // 
             MenuConvert.DropDownItems.AddRange(new ToolStripItem[] { MenuConvertEquation, MenuConvertSlopeField });
             MenuConvert.Name = "MenuConvert";
-            MenuConvert.Size = new Size(61, 22);
+            MenuConvert.Size = new Size(118, 38);
             MenuConvert.Text = "Convert";
             // 
             // MenuConvertEquation
             // 
             MenuConvertEquation.Name = "MenuConvertEquation";
-            MenuConvertEquation.Size = new Size(146, 22);
+            MenuConvertEquation.Size = new Size(297, 44);
             MenuConvertEquation.Text = "To Equation";
             // 
             // MenuConvertSlopeField
             // 
             MenuConvertSlopeField.Name = "MenuConvertSlopeField";
-            MenuConvertSlopeField.Size = new Size(146, 22);
+            MenuConvertSlopeField.Size = new Size(297, 44);
             MenuConvertSlopeField.Text = "To Slope Field";
             // 
             // MenuMisc
             // 
             MenuMisc.DropDownItems.AddRange(new ToolStripItem[] { MenuMiscCaches, MiscMenuPreload });
             MenuMisc.Name = "MenuMisc";
-            MenuMisc.Size = new Size(44, 22);
+            MenuMisc.Size = new Size(83, 38);
             MenuMisc.Text = "Misc";
             // 
             // MenuMiscCaches
             // 
             MenuMiscCaches.Name = "MenuMiscCaches";
-            MenuMiscCaches.Size = new Size(150, 22);
+            MenuMiscCaches.Size = new Size(299, 44);
             MenuMiscCaches.Text = "View Caches";
             MenuMiscCaches.Click += MenuMiscCaches_Click;
             // 
             // MiscMenuPreload
             // 
             MiscMenuPreload.Name = "MiscMenuPreload";
-            MiscMenuPreload.Size = new Size(150, 22);
+            MiscMenuPreload.Size = new Size(299, 44);
             MiscMenuPreload.Text = "Preload Cache";
             MiscMenuPreload.Click += MiscMenuPreload_Click;
             // 
@@ -210,18 +210,20 @@ namespace Graphing.Forms
             UpdaterPopup.Controls.Add(UpdaterPopupDownloadButton);
             UpdaterPopup.Controls.Add(UpdaterPopupCloseButton);
             UpdaterPopup.Controls.Add(UpdaterPopupMessage);
-            UpdaterPopup.Location = new Point(520, 371);
+            UpdaterPopup.Location = new Point(966, 791);
+            UpdaterPopup.Margin = new Padding(6, 6, 6, 6);
             UpdaterPopup.Name = "UpdaterPopup";
-            UpdaterPopup.Size = new Size(261, 55);
+            UpdaterPopup.Size = new Size(483, 115);
             UpdaterPopup.TabIndex = 2;
             UpdaterPopup.Visible = false;
             // 
             // UpdaterPopupDownloadButton
             // 
             UpdaterPopupDownloadButton.Anchor = AnchorStyles.Bottom | AnchorStyles.Right;
-            UpdaterPopupDownloadButton.Location = new Point(181, 27);
+            UpdaterPopupDownloadButton.Location = new Point(336, 58);
+            UpdaterPopupDownloadButton.Margin = new Padding(6, 6, 6, 6);
             UpdaterPopupDownloadButton.Name = "UpdaterPopupDownloadButton";
-            UpdaterPopupDownloadButton.Size = new Size(75, 23);
+            UpdaterPopupDownloadButton.Size = new Size(139, 49);
             UpdaterPopupDownloadButton.TabIndex = 2;
             UpdaterPopupDownloadButton.Text = "Visit";
             UpdaterPopupDownloadButton.UseVisualStyleBackColor = true;
@@ -229,10 +231,10 @@ namespace Graphing.Forms
             // UpdaterPopupCloseButton
             // 
             UpdaterPopupCloseButton.Anchor = AnchorStyles.Top | AnchorStyles.Right;
-            UpdaterPopupCloseButton.Location = new Point(234, 1);
+            UpdaterPopupCloseButton.Location = new Point(435, 2);
-            UpdaterPopupCloseButton.Margin = new Padding(1);
+            UpdaterPopupCloseButton.Margin = new Padding(2, 2, 2, 2);
             UpdaterPopupCloseButton.Name = "UpdaterPopupCloseButton";
-            UpdaterPopupCloseButton.Size = new Size(24, 24);
+            UpdaterPopupCloseButton.Size = new Size(45, 51);
             UpdaterPopupCloseButton.TabIndex = 1;
             UpdaterPopupCloseButton.Text = "X";
             UpdaterPopupCloseButton.UseVisualStyleBackColor = true;
@@ -242,23 +244,29 @@ namespace Graphing.Forms
             // 
             UpdaterPopupMessage.Anchor = AnchorStyles.Top | AnchorStyles.Bottom | AnchorStyles.Left;
             UpdaterPopupMessage.Font = new Font("Segoe UI", 9.75F, FontStyle.Bold, GraphicsUnit.Point, 0);
-            UpdaterPopupMessage.Location = new Point(3, 3);
+            UpdaterPopupMessage.Location = new Point(6, 6);
-            UpdaterPopupMessage.Margin = new Padding(3);
+            UpdaterPopupMessage.Margin = new Padding(6, 6, 6, 6);
             UpdaterPopupMessage.Name = "UpdaterPopupMessage";
-            UpdaterPopupMessage.Size = new Size(228, 47);
+            UpdaterPopupMessage.Size = new Size(423, 100);
             UpdaterPopupMessage.TabIndex = 0;
             UpdaterPopupMessage.Text = "A <type> update is available!\r\nA.B.C → E.F.G";
             // 
+            // MenuElementsDetail
+            // 
+            MenuElementsDetail.Name = "MenuElementsDetail";
+            MenuElementsDetail.Size = new Size(359, 44);
+            MenuElementsDetail.Text = "Detail";
+            // 
             // GraphForm
             // 
-            AutoScaleDimensions = new SizeF(7F, 15F);
+            AutoScaleDimensions = new SizeF(13F, 32F);
             AutoScaleMode = AutoScaleMode.Font;
-            ClientSize = new Size(780, 425);
+            ClientSize = new Size(1449, 907);
             Controls.Add(UpdaterPopup);
             Controls.Add(ResetViewportButton);
             Controls.Add(GraphMenu);
             MainMenuStrip = GraphMenu;
-            Margin = new Padding(2, 1, 2, 1);
+            Margin = new Padding(4, 2, 4, 2);
             Name = "GraphForm";
             Text = "GraphFormBase";
             GraphMenu.ResumeLayout(false);
@@ -294,5 +302,6 @@ namespace Graphing.Forms
         private Label UpdaterPopupMessage;
         private Button UpdaterPopupCloseButton;
         private Button UpdaterPopupDownloadButton;
+        private ToolStripMenuItem MenuElementsDetail;
     }
 }

Base/Forms/GraphForm.cs

@@ -1,4 +1,5 @@
 using Graphing.Abstract;
+using Graphing.Graphables;
 using System;
 using System.Collections.Generic;
 using System.Diagnostics;
@@ -444,9 +445,38 @@ public partial class GraphForm : Form
         RegenerateMenuItems();
     }
 
+    private readonly Dictionary<SlopeField, SlopeFieldDetailForm> sfDetailForms = [];
+    private void ChangeSlopeFieldDetail(SlopeField sf)
+    {
+        if (sfDetailForms.TryGetValue(sf, out SlopeFieldDetailForm? preexistingForm))
+        {
+            preexistingForm.Focus();
+            return;
+        }
+
+        SlopeFieldDetailForm detailForm = new(this, sf)
+        {
+            StartPosition = FormStartPosition.Manual
+        };
+        sfDetailForms.Add(sf, detailForm);
+
+        detailForm.Location = new Point(Location.X + ClientRectangle.Width + 10,
+                                        Location.Y + (ClientRectangle.Height - detailForm.ClientRectangle.Height) / 2);
+
+        if (detailForm.Location.X + detailForm.Width > Screen.FromControl(this).WorkingArea.Width)
+        {
+            detailForm.StartPosition = FormStartPosition.WindowsDefaultLocation;
+        }
+        detailForm.TopMost = true;
+        detailForm.Show();
+
+        detailForm.FormClosed += (o, e) => sfDetailForms.Remove(sf);
+    }
+
     private void RegenerateMenuItems()
     {
         MenuElementsColors.DropDownItems.Clear();
+        MenuElementsDetail.DropDownItems.Clear();
         MenuElementsRemove.DropDownItems.Clear();
         MenuOperationsDerivative.DropDownItems.Clear();
         MenuOperationsIntegral.DropDownItems.Clear();
@@ -474,6 +504,17 @@ public partial class GraphForm : Form
             removeItem.Click += (o, e) => Ungraph(able);
             MenuElementsRemove.DropDownItems.Add(removeItem);
 
+            if (able is SlopeField sf)
+            {
+                ToolStripMenuItem sfDetailItem = new()
+                {
+                    ForeColor = able.Color,
+                    Text = able.Name
+                };
+                sfDetailItem.Click += (o, e) => ChangeSlopeFieldDetail(sf);
+                MenuElementsDetail.DropDownItems.Add(sfDetailItem);
+            }
+
             if (able is IDerivable derivable)
             {
                 ToolStripMenuItem derivativeItem = new()

Base/Forms/SlopeFieldDetailForm.Designer.cs

@@ -0,0 +1,147 @@
+namespace Graphing.Forms
+{
+    partial class SlopeFieldDetailForm
+    {
+        /// <summary>
+        /// Required designer variable.
+        /// </summary>
+        private System.ComponentModel.IContainer components = null;
+
+        /// <summary>
+        /// Clean up any resources being used.
+        /// </summary>
+        /// <param name="disposing">true if managed resources should be disposed; otherwise, false.</param>
+        protected override void Dispose(bool disposing)
+        {
+            if (disposing && (components != null))
+            {
+                components.Dispose();
+            }
+            base.Dispose(disposing);
+        }
+
+        #region Windows Form Designer generated code
+
+        /// <summary>
+        /// Required method for Designer support - do not modify
+        /// the contents of this method with the code editor.
+        /// </summary>
+        private void InitializeComponent()
+        {
+            Message = new System.Windows.Forms.Label();
+            TrackSlopeDetail = new System.Windows.Forms.TrackBar();
+            MinDetailBox = new System.Windows.Forms.TextBox();
+            MaxDetailBox = new System.Windows.Forms.TextBox();
+            CurrentDetailBox = new System.Windows.Forms.TextBox();
+            IncrementButton = new System.Windows.Forms.Button();
+            DecrementButton = new System.Windows.Forms.Button();
+            ((System.ComponentModel.ISupportInitialize)TrackSlopeDetail).BeginInit();
+            SuspendLayout();
+            // 
+            // Message
+            // 
+            Message.Anchor = System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Left | System.Windows.Forms.AnchorStyles.Right;
+            Message.Location = new System.Drawing.Point(119, 25);
+            Message.Margin = new System.Windows.Forms.Padding(110);
+            Message.Name = "Message";
+            Message.Size = new System.Drawing.Size(516, 109);
+            Message.TabIndex = 1;
+            Message.Text = "Change the Detail of %name%\r\nA higher value means more lines per unit.";
+            Message.TextAlign = System.Drawing.ContentAlignment.MiddleCenter;
+            // 
+            // TrackSlopeDetail
+            // 
+            TrackSlopeDetail.Anchor = System.Windows.Forms.AnchorStyles.Left | System.Windows.Forms.AnchorStyles.Right;
+            TrackSlopeDetail.LargeChange = 250;
+            TrackSlopeDetail.Location = new System.Drawing.Point(59, 158);
+            TrackSlopeDetail.Margin = new System.Windows.Forms.Padding(50);
+            TrackSlopeDetail.Maximum = 1000;
+            TrackSlopeDetail.Name = "TrackSlopeDetail";
+            TrackSlopeDetail.Size = new System.Drawing.Size(636, 90);
+            TrackSlopeDetail.SmallChange = 0;
+            TrackSlopeDetail.TabIndex = 0;
+            TrackSlopeDetail.TickFrequency = 0;
+            TrackSlopeDetail.TickStyle = System.Windows.Forms.TickStyle.Both;
+            TrackSlopeDetail.Scroll += TrackSlopeDetail_Scroll;
+            // 
+            // MinDetailBox
+            // 
+            MinDetailBox.Anchor = System.Windows.Forms.AnchorStyles.Left;
+            MinDetailBox.Location = new System.Drawing.Point(12, 228);
+            MinDetailBox.Name = "MinDetailBox";
+            MinDetailBox.Size = new System.Drawing.Size(100, 39);
+            MinDetailBox.TabIndex = 2;
+            // 
+            // MaxDetailBox
+            // 
+            MaxDetailBox.Anchor = System.Windows.Forms.AnchorStyles.Right;
+            MaxDetailBox.Location = new System.Drawing.Point(642, 228);
+            MaxDetailBox.Name = "MaxDetailBox";
+            MaxDetailBox.Size = new System.Drawing.Size(100, 39);
+            MaxDetailBox.TabIndex = 3;
+            MaxDetailBox.TextAlign = System.Windows.Forms.HorizontalAlignment.Right;
+            // 
+            // CurrentDetailBox
+            // 
+            CurrentDetailBox.Anchor = System.Windows.Forms.AnchorStyles.None;
+            CurrentDetailBox.Location = new System.Drawing.Point(330, 228);
+            CurrentDetailBox.Name = "CurrentDetailBox";
+            CurrentDetailBox.Size = new System.Drawing.Size(100, 39);
+            CurrentDetailBox.TabIndex = 4;
+            CurrentDetailBox.TextAlign = System.Windows.Forms.HorizontalAlignment.Center;
+            // 
+            // IncrementButton
+            // 
+            IncrementButton.Anchor = System.Windows.Forms.AnchorStyles.None;
+            IncrementButton.Font = new System.Drawing.Font("Segoe UI", 7.875F, System.Drawing.FontStyle.Regular, System.Drawing.GraphicsUnit.Point, 0);
+            IncrementButton.Location = new System.Drawing.Point(436, 228);
+            IncrementButton.Name = "IncrementButton";
+            IncrementButton.Size = new System.Drawing.Size(40, 40);
+            IncrementButton.TabIndex = 5;
+            IncrementButton.Text = "+";
+            IncrementButton.UseVisualStyleBackColor = true;
+            IncrementButton.Click += IncrementButton_Click;
+            // 
+            // DecrementButton
+            // 
+            DecrementButton.Anchor = System.Windows.Forms.AnchorStyles.None;
+            DecrementButton.Font = new System.Drawing.Font("Segoe UI", 7.875F, System.Drawing.FontStyle.Regular, System.Drawing.GraphicsUnit.Point, 0);
+            DecrementButton.Location = new System.Drawing.Point(284, 228);
+            DecrementButton.Name = "DecrementButton";
+            DecrementButton.Size = new System.Drawing.Size(40, 40);
+            DecrementButton.TabIndex = 6;
+            DecrementButton.Text = "-";
+            DecrementButton.UseVisualStyleBackColor = true;
+            DecrementButton.Click += DecrementButton_Click;
+            // 
+            // SlopeFieldDetailForm
+            // 
+            AutoScaleDimensions = new System.Drawing.SizeF(13F, 32F);
+            AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font;
+            ClientSize = new System.Drawing.Size(754, 282);
+            Controls.Add(DecrementButton);
+            Controls.Add(IncrementButton);
+            Controls.Add(CurrentDetailBox);
+            Controls.Add(MaxDetailBox);
+            Controls.Add(MinDetailBox);
+            Controls.Add(Message);
+            Controls.Add(TrackSlopeDetail);
+            FormBorderStyle = System.Windows.Forms.FormBorderStyle.FixedToolWindow;
+            Name = "SlopeFieldDetailForm";
+            Text = "Change Slope Field Detail";
+            ((System.ComponentModel.ISupportInitialize)TrackSlopeDetail).EndInit();
+            ResumeLayout(false);
+            PerformLayout();
+        }
+
+        #endregion
+
+        private System.Windows.Forms.Label Message;
+        private System.Windows.Forms.TrackBar TrackSlopeDetail;
+        private System.Windows.Forms.TextBox MinDetailBox;
+        private System.Windows.Forms.TextBox MaxDetailBox;
+        private System.Windows.Forms.TextBox CurrentDetailBox;
+        private System.Windows.Forms.Button IncrementButton;
+        private System.Windows.Forms.Button DecrementButton;
+    }
+}

Base/Forms/SlopeFieldDetailForm.cs

@@ -0,0 +1,130 @@
+using Graphing.Graphables;
+using System;
+using System.Windows.Forms;
+
+namespace Graphing.Forms;
+
+public partial class SlopeFieldDetailForm : Form
+{
+    private readonly GraphForm refForm;
+    private readonly SlopeField slopeField;
+
+    private double minDetail, maxDetail;
+
+    public SlopeFieldDetailForm(GraphForm form, SlopeField sf)
+    {
+        InitializeComponent();
+
+        refForm = form;
+        slopeField = sf;
+
+        refForm.Paint += (o, e) => RedeclareValues();
+        RedeclareValues();
+
+        TrackSlopeDetail.KeyDown += (o, e) =>
+        {
+            if (e.KeyCode == Keys.Right) IncrementButton_Click(o, e);
+            else if (e.KeyCode == Keys.Left) DecrementButton_Click(o, e);
+        };
+
+        MinDetailBox.Leave += MinDetailBox_Finish;
+        MinDetailBox.KeyDown += (o, e) =>
+        {
+            if (e.KeyCode == Keys.Enter) MinDetailBox_Finish(o, e);
+        };
+        MaxDetailBox.Leave += MaxDetailBox_Finish;
+        MaxDetailBox.KeyDown += (o, e) =>
+        {
+            if (e.KeyCode == Keys.Enter) MaxDetailBox_Finish(o, e);
+        };
+        CurrentDetailBox.Leave += CurrentDetailBox_Finish;
+        CurrentDetailBox.KeyDown += (o, e) =>
+        {
+            if (e.KeyCode == Keys.Enter) CurrentDetailBox_Finish(o, e);
+        };
+
+        minDetail = sf.Detail / 2;
+        maxDetail = sf.Detail * 2;
+
+        Message.Text = Message.Text.Replace("%name%", sf.Name);
+    }
+
+    // Exponential interpolations are better than simple lerps here since
+    // we're scaling a multiple rather than an additive.
+    private double Interp(double t)
+    {
+        // This is weird. I don't like the +1s and -1s, I don't think I wrote this right.
+        // But it seems to get the job done.
+        return minDetail + Math.Pow(2, t * Math.Log2(maxDetail - minDetail + 1)) - 1;
+    }
+    private double InverseInterp(double c)
+    {
+        return Math.Log2(c - minDetail + 1) / Math.Log2(maxDetail - minDetail + 1);
+    }
+
+    private void RedeclareValues()
+    {
+        double detail = slopeField.Detail;
+        if (detail < minDetail) minDetail = detail;
+        else if (detail > maxDetail) maxDetail = detail;
+
+        double t = InverseInterp(detail);
+        TrackSlopeDetail.Value = (int)(TrackSlopeDetail.Minimum + t * (TrackSlopeDetail.Maximum - TrackSlopeDetail.Minimum));
+
+        MinDetailBox.Text = $"{minDetail:0.00}";
+        MaxDetailBox.Text = $"{maxDetail:0.00}";
+        CurrentDetailBox.Text = $"{detail:0.00}";
+    }
+
+    private void TrackSlopeDetail_Scroll(object? sender, EventArgs e)
+    {
+        double t = (double)(TrackSlopeDetail.Value - TrackSlopeDetail.Minimum) / (TrackSlopeDetail.Maximum - TrackSlopeDetail.Minimum);
+        double newDetail = Interp(t);
+
+        slopeField.Detail = newDetail;
+        refForm.Invalidate(false);
+    }
+    private void MinDetailBox_Finish(object? sender, EventArgs e)
+    {
+        if (double.TryParse(MinDetailBox.Text, out double newMinDetail))
+        {
+            minDetail = newMinDetail;
+            if (minDetail > slopeField.Detail) slopeField.Detail = newMinDetail;
+        }
+        refForm.Invalidate(false);
+    }
+    private void MaxDetailBox_Finish(object? sender, EventArgs e)
+    {
+        if (double.TryParse(MaxDetailBox.Text, out double newMaxDetail))
+        {
+            maxDetail = newMaxDetail;
+            if (maxDetail < slopeField.Detail) slopeField.Detail = newMaxDetail;
+        }
+        refForm.Invalidate(false);
+    }
+    private void CurrentDetailBox_Finish(object? sender, EventArgs e)
+    {
+        if (double.TryParse(CurrentDetailBox.Text, out double newDetail))
+        {
+            if (newDetail < minDetail) minDetail = newDetail;
+            else if (newDetail > maxDetail) maxDetail = newDetail;
+            slopeField.Detail = newDetail;
+        }
+        refForm.Invalidate(false);
+    }
+
+    private void IncrementButton_Click(object? sender, EventArgs e)
+    {
+        double newDetail = slopeField.Detail * 1.0625f;
+        if (newDetail > maxDetail) maxDetail = newDetail;
+        slopeField.Detail = newDetail;
+        refForm.Invalidate(false);
+    }
+    private void DecrementButton_Click(object? sender, EventArgs e)
+    {
+        double newDetail = slopeField.Detail / 1.0625f;
+        if (newDetail < minDetail) minDetail = newDetail;
+        slopeField.Detail = newDetail;
+        refForm.Invalidate(false);
+    }
+}

Base/Forms/SlopeFieldDetailForm.resx

@@ -0,0 +1,120 @@
+<?xml version="1.0" encoding="utf-8"?>
+<root>
+  <!--
+    Microsoft ResX Schema 
+
+    Version 2.0
+
+    The primary goals of this format is to allow a simple XML format
+    that is mostly human readable. The generation and parsing of the
+    various data types are done through the TypeConverter classes
+    associated with the data types.
+
+    Example:
+
+    ... ado.net/XML headers & schema ...
+    <resheader name="resmimetype">text/microsoft-resx</resheader>
+    <resheader name="version">2.0</resheader>
+    <resheader name="reader">System.Resources.ResXResourceReader, System.Windows.Forms, ...</resheader>
+    <resheader name="writer">System.Resources.ResXResourceWriter, System.Windows.Forms, ...</resheader>
+    <data name="Name1"><value>this is my long string</value><comment>this is a comment</comment></data>
+    <data name="Color1" type="System.Drawing.Color, System.Drawing">Blue</data>
+    <data name="Bitmap1" mimetype="application/x-microsoft.net.object.binary.base64">
+        <value>[base64 mime encoded serialized .NET Framework object]</value>
+    </data>
+    <data name="Icon1" type="System.Drawing.Icon, System.Drawing" mimetype="application/x-microsoft.net.object.bytearray.base64">
+        <value>[base64 mime encoded string representing a byte array form of the .NET Framework object]</value>
+        <comment>This is a comment</comment>
+    </data>
+
+    There are any number of "resheader" rows that contain simple
+    name/value pairs.
+
+    Each data row contains a name, and value. The row also contains a
+    type or mimetype. Type corresponds to a .NET class that support
+    text/value conversion through the TypeConverter architecture.
+    Classes that don't support this are serialized and stored with the
+    mimetype set.
+
+    The mimetype is used for serialized objects, and tells the
+    ResXResourceReader how to depersist the object. This is currently not
+    extensible. For a given mimetype the value must be set accordingly:
+
+    Note - application/x-microsoft.net.object.binary.base64 is the format
+    that the ResXResourceWriter will generate, however the reader can
+    read any of the formats listed below.
+
+    mimetype: application/x-microsoft.net.object.binary.base64
+    value   : The object must be serialized with
+            : System.Runtime.Serialization.Formatters.Binary.BinaryFormatter
+            : and then encoded with base64 encoding.
+    
+    mimetype: application/x-microsoft.net.object.soap.base64
+    value   : The object must be serialized with
+            : System.Runtime.Serialization.Formatters.Soap.SoapFormatter
+            : and then encoded with base64 encoding.
+
+    mimetype: application/x-microsoft.net.object.bytearray.base64
+    value   : The object must be serialized into a byte array
+            : using a System.ComponentModel.TypeConverter
+            : and then encoded with base64 encoding.
+    -->
+  <xsd:schema id="root" xmlns="" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:msdata="urn:schemas-microsoft-com:xml-msdata">
+    <xsd:import namespace="http://www.w3.org/XML/1998/namespace" />
+    <xsd:element name="root" msdata:IsDataSet="true">
+      <xsd:complexType>
+        <xsd:choice maxOccurs="unbounded">
+          <xsd:element name="metadata">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" />
+              </xsd:sequence>
+              <xsd:attribute name="name" use="required" type="xsd:string" />
+              <xsd:attribute name="type" type="xsd:string" />
+              <xsd:attribute name="mimetype" type="xsd:string" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="assembly">
+            <xsd:complexType>
+              <xsd:attribute name="alias" type="xsd:string" />
+              <xsd:attribute name="name" type="xsd:string" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="data">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+                <xsd:element name="comment" type="xsd:string" minOccurs="0" msdata:Ordinal="2" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" msdata:Ordinal="1" />
+              <xsd:attribute name="type" type="xsd:string" msdata:Ordinal="3" />
+              <xsd:attribute name="mimetype" type="xsd:string" msdata:Ordinal="4" />
+              <xsd:attribute ref="xml:space" />
+            </xsd:complexType>
+          </xsd:element>
+          <xsd:element name="resheader">
+            <xsd:complexType>
+              <xsd:sequence>
+                <xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
+              </xsd:sequence>
+              <xsd:attribute name="name" type="xsd:string" use="required" />
+            </xsd:complexType>
+          </xsd:element>
+        </xsd:choice>
+      </xsd:complexType>
+    </xsd:element>
+  </xsd:schema>
+  <resheader name="resmimetype">
+    <value>text/microsoft-resx</value>
+  </resheader>
+  <resheader name="version">
+    <value>2.0</value>
+  </resheader>
+  <resheader name="reader">
+    <value>System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+  <resheader name="writer">
+    <value>System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
+  </resheader>
+</root>

Base/Graphables/SlopeField.cs

@@ -10,9 +10,24 @@ public class SlopeField : Graphable
 {
     private static int slopeFieldNum;
 
-    protected readonly SlopeFieldsDelegate equ;
+    public double Detail
-    protected readonly double detail;
+    {
+        get => _detail;
+        set
+        {
+            if (Math.Abs(value - Detail) >= 1e-4)
+            {
+                // When changing detail, we need to regenerate all
+                // the lines. Inefficient, I know. Might be optimized
+                // in a future update.
+                EraseCache();
+            }
+            _detail = value;
+        }
+    }
+    private double _detail;
 
+    protected readonly SlopeFieldsDelegate equ;
     protected readonly List<(Float2, GraphLine)> cache;
 
     public SlopeField(double detail, SlopeFieldsDelegate equ)
@@ -21,13 +36,13 @@ public class SlopeField : Graphable
         Name = $"Slope Field {slopeFieldNum}";
 
         this.equ = equ;
-        this.detail = detail;
+        _detail = detail;
         cache = [];
     }
 
     public override IEnumerable<IGraphPart> GetItemsToRender(in GraphForm graph)
     {
-        double step = 1 / detail;
+        double step = 1 / _detail;
         double epsilon = step * 0.5;
         List<IGraphPart> lines = [];
 
@@ -49,7 +64,7 @@ public class SlopeField : Graphable
 
     protected GraphLine MakeSlopeLine(Float2 position, double slope)
     {
-        double size = detail;
+        double size = _detail;
 
         double dirX = size, dirY = slope * size;
         double magnitude = Math.Sqrt(dirX * dirX + dirY * dirY);
@@ -79,17 +94,17 @@ public class SlopeField : Graphable
         return result;
     }
 
-    public override Graphable ShallowCopy() => new SlopeField(detail, equ);
+    public override Graphable ShallowCopy() => new SlopeField(_detail, equ);
 
     public override void EraseCache() => cache.Clear();
     public override long GetCacheBytes() => cache.Count * 48;
     
     public override bool ShouldSelectGraphable(in GraphForm graph, Float2 graphMousePos, double factor)
     {
-        Float2 nearestPos = new(Math.Round(graphMousePos.x * detail) / detail,
+        Float2 nearestPos = new(Math.Round(graphMousePos.x * _detail) / _detail,
-                                Math.Round(graphMousePos.y * detail) / detail);
+                                Math.Round(graphMousePos.y * _detail) / _detail);
 
-        double epsilon = 1 / (detail * 2.0);
+        double epsilon = 1 / (_detail * 2.0);
         GraphLine line = GetFromCache(epsilon, nearestPos.x, nearestPos.y);
         double slope = (line.b.y - line.a.y) / (line.b.x - line.a.x);
 
@@ -110,10 +125,10 @@ public class SlopeField : Graphable
     }
     public override IEnumerable<IGraphPart> GetSelectionItemsToRender(in GraphForm graph, Float2 graphMousePos)
     {
-        Float2 nearestPos = new(Math.Round(graphMousePos.x * detail) / detail,
+        Float2 nearestPos = new(Math.Round(graphMousePos.x * _detail) / _detail,
-                                Math.Round(graphMousePos.y * detail) / detail);
+                                Math.Round(graphMousePos.y * _detail) / _detail);
 
-        double epsilon = 1 / (detail * 2.0);
+        double epsilon = 1 / (_detail * 2.0);
         GraphLine line = GetFromCache(epsilon, nearestPos.x, nearestPos.y);
         double slope = (line.b.y - line.a.y) / (line.b.x - line.a.x);
 
@@ -130,9 +145,9 @@ public class SlopeField : Graphable
 
     public override void Preload(Float2 xRange, Float2 yRange, double step)
     {
-        for (double x = Math.Ceiling(xRange.x - 1); x < xRange.y + 1; x += 1.0 / detail)
+        for (double x = Math.Ceiling(xRange.x - 1); x < xRange.y + 1; x += 1.0 / _detail)
         {
-            for (double y = Math.Ceiling(yRange.x - 1); y < yRange.y + 1; y += 1.0 / detail)
+            for (double y = Math.Ceiling(yRange.x - 1); y < yRange.y + 1; y += 1.0 / _detail)
             {
                 GetFromCache(step, x, y);
             }

Testing/Program.cs

@@ -16,15 +16,12 @@ internal static class Program
         
         GraphForm graph = new("One Of The Graphing Calculators Of All Time");
 
-        /*Equation equA = new(Math.Sin),
+        Equation equA = new(Math.Sin),
                  equB = new(Math.Cos);
         EquationDifference diff = new(2, equA, equB);
         ParametricEquation equC = new(0, 20, t => 0.0375 * t * Math.Cos(t), t => 0.0625 * t * Math.Sin(t) + 3);
         TangentLine tanA = new(2, 2, equA);
-        graph.Graph(equA, equB, diff, equC, equB.ToColumnTable(-3, 3, 2), tanA);*/
+        graph.Graph(equA, equB, diff, equC, equB.ToColumnTable(-3, 3, 2), tanA);
-
-        SlopeField sf1 = new(1.5, (x, y) => Math.Cos(x) + Math.Sin(y));
-        graph.Graph(sf1);
 
         Application.Run(graph);
     }