Layout code for radial menu complete.

Source/Integration/RadialMenu.cpp

@@ -3,28 +3,30 @@
 
 void URadialMenu::Configure(int32 NItems, float ItemHeight, float InnerRadius, float MinSpoke, float Spread)
 {
-    CNItems = NItems;
+    NumRight = (NItems / 2);
-    CItemHeight = ItemHeight;
+    NumLeft = NItems - NumRight;
-    CInnerRadius = InnerRadius;
-    CMinSpoke = MinSpoke;
-    CSpread = Spread;
-
-    CNumRight = (NItems / 2);
-    CNumLeft = NItems - CNumRight;
     Items.SetNum(NItems);
 
-    LeftItems = View(Items.GetData(), CNumLeft);
+    View LeftItems(Items.GetData(), NumLeft);
-    RightItems = View(Items.GetData() + CNumLeft, CNumRight);
+    View RightItems(Items.GetData() + NumLeft, NumRight);
+
+    CalculateSpokes(LeftItems, ItemHeight, InnerRadius, MinSpoke);
+    CalculateSpokes(RightItems, ItemHeight, InnerRadius, MinSpoke);
+    double LeftWidth = WidestSpoke(LeftItems);
+    double RightWidth = WidestSpoke(RightItems);
+    double HalfWidth = FMath::Max(LeftWidth, RightWidth) + Spread;
+    CalculateSpread(LeftItems, HalfWidth - LeftWidth);
+    CalculateSpread(RightItems, HalfWidth - RightWidth);
 
-    CalculateSide(LeftItems);
-    CalculateSide(RightItems);
     FlipHorizontal(LeftItems);
 }
 
-FVector2D URadialMenu::PieSliceToVector(double Slice, double Slices)
+FVector2D URadialMenu::SpokeVector(int32 I, int32 NSide, int32 NTotal)
 {
-    double HalfRevolutions = (Slice + 0.5) / Slices;
+    double SpokeAngle = 1.0 / NTotal;
-    double Radians = (HalfRevolutions * UE_PI);
+    double OffsetAngle = 0.5 * (0.5 - ((NSide - 1) * SpokeAngle));
+    double Revolutions = (I * SpokeAngle) + OffsetAngle;
+    double Radians = (Revolutions * 2.0 * UE_PI);
     return FVector2D(FMath::Sin(Radians), -FMath::Cos(Radians));
 }
 
@@ -39,48 +41,63 @@ void URadialMenu::FlipHorizontal(View V)
     }
 }
 
-void URadialMenu::CalculateSide(View V)
+double URadialMenu::WidestSpoke(View V)
 {
-    // Point1 is simple. RightSide is always initialized to
+    double Result = 0.0;
-    // true, it may get reversed in FlipHorizontal.
+    for (const FRadialMenuItem &Item : V)
+    {
+        Result = FMath::Max(Item.Point2.X, Result);
+    }
+    return Result;
+}
+
+void URadialMenu::CalculateSpread(View V, double Offset)
+{
+    for (FRadialMenuItem &Item : V)
+    {
+        Item.Point3 = Item.Point2 + FVector2D(Offset, 0.0);
+    }
+}
+
+void URadialMenu::CalculateSpokes(View V, float ItemHeight, float InnerRadius, float MinSpoke)
+{
+    if (V.Num() == 0) return;
+
+    // RightSide is always initialized to true, it may get
+    // reversed by FlipHorizontal.
     for (int32 I = 0; I < V.Num(); I++)
     {
         V[I].RightSide = true;
-        V[I].Point1 = PieSliceToVector(I, V.Num()) * CInnerRadius;
+        V[I].Point1 = SpokeVector(I, V.Num(), Items.Num()) * InnerRadius;
     }
 
     // Calculate point2 for all spokes.
-    double NextLineMin = CItemHeight * 0.5;
+    double NextLineMin = ItemHeight * 0.5;
     int32 Mid = (V.Num() / 2);
     if (V.Num() & 1)
     {
-        V[Mid].Point2 = FVector2D(CInnerRadius + CMinSpoke, 0.0);
+        V[Mid].Point2 = FVector2D(InnerRadius + MinSpoke, 0.0);
-        NextLineMin = CItemHeight;
+        NextLineMin = ItemHeight;
         Mid += 1;
     }
     for (int32 I = Mid; I < V.Num(); I++)
     {
-        FVector2D UnitVec = PieSliceToVector(I, V.Num());
+        FVector2D UnitVec = SpokeVector(I, V.Num(), Items.Num());
-        double Y = (UnitVec.Y * (CInnerRadius + CMinSpoke));
+        double Y = (UnitVec.Y * (InnerRadius + MinSpoke));
         if (Y < NextLineMin) Y = NextLineMin;
-        NextLineMin = Y + CItemHeight;
+        NextLineMin = Y + ItemHeight;
         FVector2D Point2 = UnitVec * (Y / UnitVec.Y);
         V[I].Point2 = Point2;
-        V[V.Num() - I].Point2 = Point2 * FVector2D(1.0,-1.0);
+        V[V.Num() - 1 - I].Point2 = Point2 * FVector2D(1.0,-1.0);
     }
 
-    // The rule we use for calculating point2 may result in
+    // The middle spoke is calculated using a different formula,
-    // a very short horizontal spoke.  If so, fix it.
+    // which may result in a short spoke.  If so, fix it to make
+    // it at least as long as the adjacent spoke.
     if ((V.Num() & 1) && (V.Num() >= 3))
     {
         Mid = V.Num() / 2;
         if (V[Mid].Point2.X < V[Mid + 1].Point2.X)
             V[Mid].Point2.X = V[Mid + 1].Point2.X;
     }
-
-    // Calculate Point3.
-    for (int32 I = 0; I < V.Num(); I++)
-    {
-        V[I].Point3 = V[I].Point2 + FVector2D(CSpread, 0.0);
-    }
 }

Source/Integration/RadialMenu.h

@@ -30,31 +30,48 @@ public:
     void Configure(int32 NItems, float ItemHeight, float InnerRadius, float MinSpoke, float Spread);
 
     UFUNCTION(BlueprintCallable)
-    int32 NumItems() const { return Items.Num(); }
+    int32 LeftNum() const { return NumLeft; }
+
+    UFUNCTION(BlueprintCallable)
+    int32 RightNum() const { return NumRight; }
 
     UFUNCTION(BlueprintCallable)
     const TArray<FRadialMenuItem> GetItems() const { return Items; }
 
-    TArray<FRadialMenuItem> Items;
 
 private:
     using View = TArrayView<FRadialMenuItem>;
 
-    void CalculateSide(View V);
+    // Give the unit vector for the selected spoke. NSide is
+    // the number of spokes on the side of the wheel that
+    // we're calculating, and NTotal is the total number of
+    // spokes on both sides. The spokes on a given side are
+    // organized top-to-bottom, and the angle between the
+    // spokes is always equal to (1/NTotal) of the circle.
+    FVector2D SpokeVector(int32 I, int32 NSide, int32 NTotal);
+
+    // Populate Point1 and Point2, these are the
+    // endpoints of the spoke segment.  Spokes are
+    // designed to always be long enough to make room
+    // for MinSpoke, but also to make enough room to
+    // keep the menu items from overlapping.
+    void CalculateSpokes(View V, float ItemHeight, float InnerRadius, float MinSpoke);
+    
+    // Search for the widest spoke, and return its X coordinate.
+    double WidestSpoke(View V);
+
+    // Populate Point3, this is the endpoint of the spread
+    // line that goes horizontal.
+    void CalculateSpread(View V, double Offset);
+
+    // Flip everything in the specified view horizontally.
     void FlipHorizontal(View V);
 
-    // The half-circle is divided into pie slices.  Returns a direction vector
+    // The array of items.
-    // which aims directly down the center of the pie slice.
+    TArray<FRadialMenuItem> Items;
-    FVector2D PieSliceToVector(double Slice, double Slices);
+
-    
+    // Number of items on the left, and on the right.
-    int32 CNItems = 0;
+    int32 NumLeft = 0;
-    float CItemHeight = 0;
+    int32 NumRight = 0;
-    float CInnerRadius = 0;
-    float CMinSpoke = 0;
-    float CSpread = 0;
-    int32 CNumLeft = 0;
-    int32 CNumRight = 0;
-    View LeftItems;
-    View RightItems;
 };