diff --git a/docs/CHANGELOG.txt b/docs/CHANGELOG.txt
index 11afd5e..f7c903f 100644
--- a/docs/CHANGELOG.txt
+++ b/docs/CHANGELOG.txt
@@ -55,6 +55,7 @@
   documented (can only unreserve from the last reserve call). If you suspect you ever
   used that feature before, #define IMGUI_DEBUG_PARANOID in imconfig.h to catch existing
   calls. [@ShironekoBen]
+- ImDrawList::AddCircle()/AddCircleFilled() functions don't accept negative radius.
 - Limiting Columns()/BeginColumns() api to 64 columns with an assert. While the current code
   technically supports it, future code may not so we're putting the restriction ahead.
 - imgui_internal.h: changed ImRect() default constructor initializes all fields to 0.0f instead
@@ -70,6 +71,8 @@
   those improvements in 1.73 makes them unnecessary. (#2722, #2770). [@rokups]
 - ColorEdit: "Copy As" context-menu tool shows hex values with a '#' prefix instead of '0x'.
 - ColorEdit: "Copy As" content-menu tool shows hex values both with/without alpha when available.
+- ImDrawList: AddCircle(), AddCircleFilled() API can now auto-tessellate when provided a segment
+  count of zero. Alter tessellation quality with 'style.CircleSegmentMaxError'. [@ShironekoBen]
 - ImDrawList: Add AddNgon(), AddNgonFilled() API with a guarantee on the explicit segment count.
   In the current branch they are essentially the same as AddCircle(), AddCircleFilled() but as
   we will rework the circle rendering functions to use textures and automatic segment count
diff --git a/imgui.cpp b/imgui.cpp
index 75b95ba..6ec427e 100644
--- a/imgui.cpp
+++ b/imgui.cpp
@@ -362,6 +362,7 @@
  When you are not sure about a old symbol or function name, try using the Search/Find function of your IDE to look for comments or references in all imgui files.
  You can read releases logs https://github.com/ocornut/imgui/releases for more details.
 
+ - 2020/01/22 (1.75) - ImDrawList::AddCircle()/AddCircleFilled() functions don't accept negative radius any more.
  - 2019/12/17 (1.75) - made Columns() limited to 64 columns by asserting above that limit. While the current code technically supports it, future code may not so we're putting the restriction ahead.
  - 2019/12/13 (1.75) - [imgui_internal.h] changed ImRect() default constructor initializes all fields to 0.0f instead of (FLT_MAX,FLT_MAX,-FLT_MAX,-FLT_MAX). If you used ImRect::Add() to create bounding boxes by adding multiple points into it, you may need to fix your initial value.
  - 2019/12/08 (1.75) - removed redirecting functions/enums that were marked obsolete in 1.53 (December 2017):
@@ -988,7 +989,7 @@
     AntiAliasedLines        = true;             // Enable anti-aliasing on lines/borders. Disable if you are really short on CPU/GPU.
     AntiAliasedFill         = true;             // Enable anti-aliasing on filled shapes (rounded rectangles, circles, etc.)
     CurveTessellationTol    = 1.25f;            // Tessellation tolerance when using PathBezierCurveTo() without a specific number of segments. Decrease for highly tessellated curves (higher quality, more polygons), increase to reduce quality.
-    CircleSegmentMaxError   = 0.75f;            // Maximum error (in pixels) allowed when using AddCircle()/AddCircleFilled() or drawing rounded corner rectangles with no explicit segment count specified. Decrease for higher quality but more geometry.
+    CircleSegmentMaxError   = 1.60f;            // Maximum error (in pixels) allowed when using AddCircle()/AddCircleFilled() or drawing rounded corner rectangles with no explicit segment count specified. Decrease for higher quality but more geometry.
 
     // Default theme
     ImGui::StyleColorsDark(this);
@@ -3624,7 +3625,7 @@
     IM_ASSERT(g.Font->IsLoaded());
     g.DrawListSharedData.ClipRectFullscreen = ImVec4(0.0f, 0.0f, g.IO.DisplaySize.x, g.IO.DisplaySize.y);
     g.DrawListSharedData.CurveTessellationTol = g.Style.CurveTessellationTol;
-    g.DrawListSharedData.CircleSegmentMaxError = g.Style.CircleSegmentMaxError;
+    g.DrawListSharedData.SetCircleSegmentMaxError(g.Style.CircleSegmentMaxError);
     g.DrawListSharedData.InitialFlags = ImDrawListFlags_None;
     if (g.Style.AntiAliasedLines)
         g.DrawListSharedData.InitialFlags |= ImDrawListFlags_AntiAliasedLines;
@@ -3633,10 +3634,6 @@
     if (g.IO.BackendFlags & ImGuiBackendFlags_RendererHasVtxOffset)
         g.DrawListSharedData.InitialFlags |= ImDrawListFlags_AllowVtxOffset;
 
-    // Recalculate circle segment counts if the segment error has changed
-    if (g.DrawListSharedData.CircleSegmentMaxError != g.DrawListSharedData.CircleSegmentCountsMaxCircleSegmentError)
-        g.DrawListSharedData.RecalculateCircleSegmentCounts();
-
     g.BackgroundDrawList.Clear();
     g.BackgroundDrawList.PushTextureID(g.IO.Fonts->TexID);
     g.BackgroundDrawList.PushClipRectFullScreen();
diff --git a/imgui.h b/imgui.h
index 7582aaf..5fab99d 100644
--- a/imgui.h
+++ b/imgui.h
@@ -1941,6 +1941,9 @@
 
     // Primitives
     // - For rectangular primitives, "p_min" and "p_max" represent the upper-left and lower-right corners.
+    // - For circle primitives, use "num_segments == 0" to automatically calculate tessellation (preferred). 
+    //   In future versions we will use textures to provide cheaper and higher-quality circles. 
+    //   Use AddNgon() and AddNgonFilled() functions if you need to guaranteed a specific number of sides.
     IMGUI_API void  AddLine(const ImVec2& p1, const ImVec2& p2, ImU32 col, float thickness = 1.0f);
     IMGUI_API void  AddRect(const ImVec2& p_min, const ImVec2& p_max, ImU32 col, float rounding = 0.0f, ImDrawCornerFlags rounding_corners = ImDrawCornerFlags_All, float thickness = 1.0f);   // a: upper-left, b: lower-right (== upper-left + size), rounding_corners_flags: 4 bits corresponding to which corner to round
     IMGUI_API void  AddRectFilled(const ImVec2& p_min, const ImVec2& p_max, ImU32 col, float rounding = 0.0f, ImDrawCornerFlags rounding_corners = ImDrawCornerFlags_All);                     // a: upper-left, b: lower-right (== upper-left + size)
@@ -1949,10 +1952,10 @@
     IMGUI_API void  AddQuadFilled(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, ImU32 col);
     IMGUI_API void  AddTriangle(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, ImU32 col, float thickness = 1.0f);
     IMGUI_API void  AddTriangleFilled(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, ImU32 col);
-    IMGUI_API void  AddCircle(const ImVec2& center, float radius, ImU32 col, int num_segments = 12, float thickness = 1.0f); // Draw a circle - use num_segments <= 0 to automatically calculate tessellation (preferred). Use AddNgon() instead if you need a specific segment count.
-    IMGUI_API void  AddCircleFilled(const ImVec2& center, float radius, ImU32 col, int num_segments = 12); // Draw a filled circle - use num_segments <= 0 to automatically calculate tessellation (preferred). Use AddNgonFilled() instead if you need a specific segment count.
-    IMGUI_API void  AddNgon(const ImVec2& center, float radius, ImU32 col, int num_segments, float thickness = 1.0f); // Draw an n-gon with a specific number of sides. Use AddCircle() instead if you want an actual circle and don't care about the exact side count.
-    IMGUI_API void  AddNgonFilled(const ImVec2& center, float radius, ImU32 col, int num_segments); // Draw a filled n-gon with a specific number of sides. Use AddCircleFilled() instead if you want an actual circle and don't care about the exact side count.
+    IMGUI_API void  AddCircle(const ImVec2& center, float radius, ImU32 col, int num_segments = 12, float thickness = 1.0f);
+    IMGUI_API void  AddCircleFilled(const ImVec2& center, float radius, ImU32 col, int num_segments = 12);
+    IMGUI_API void  AddNgon(const ImVec2& center, float radius, ImU32 col, int num_segments, float thickness = 1.0f);
+    IMGUI_API void  AddNgonFilled(const ImVec2& center, float radius, ImU32 col, int num_segments);
     IMGUI_API void  AddText(const ImVec2& pos, ImU32 col, const char* text_begin, const char* text_end = NULL);
     IMGUI_API void  AddText(const ImFont* font, float font_size, const ImVec2& pos, ImU32 col, const char* text_begin, const char* text_end = NULL, float wrap_width = 0.0f, const ImVec4* cpu_fine_clip_rect = NULL);
     IMGUI_API void  AddPolyline(const ImVec2* points, int num_points, ImU32 col, bool closed, float thickness);
diff --git a/imgui_demo.cpp b/imgui_demo.cpp
index 8ce9178..0505191 100644
--- a/imgui_demo.cpp
+++ b/imgui_demo.cpp
@@ -3500,9 +3500,9 @@
             ImGui::Checkbox("Anti-aliased lines", &style.AntiAliasedLines); ImGui::SameLine(); HelpMarker("When disabling anti-aliasing lines, you'll probably want to disable borders in your style as well.");
             ImGui::Checkbox("Anti-aliased fill", &style.AntiAliasedFill);
             ImGui::PushItemWidth(100);
-            ImGui::DragFloat("Curve Tessellation Tolerance", &style.CurveTessellationTol, 0.02f, 0.10f, FLT_MAX, "%.2f", 2.0f);
+            ImGui::DragFloat("Curve Tessellation Tolerance", &style.CurveTessellationTol, 0.02f, 0.10f, 10.0f, "%.2f");
             if (style.CurveTessellationTol < 0.10f) style.CurveTessellationTol = 0.10f;
-            ImGui::DragFloat("Max circle segment error", &style.CircleSegmentMaxError, 0.01f, 0.1f, 10.0f, "%.2f", 1.0f);
+            ImGui::DragFloat("Circle segment Max Error", &style.CircleSegmentMaxError, 0.01f, 0.10f, 10.0f, "%.2f");
             ImGui::DragFloat("Global Alpha", &style.Alpha, 0.005f, 0.20f, 1.0f, "%.2f"); // Not exposing zero here so user doesn't "lose" the UI (zero alpha clips all widgets). But application code could have a toggle to switch between zero and non-zero.
             ImGui::PopItemWidth();
 
@@ -4455,24 +4455,33 @@
             static float sz = 36.0f;
             static float thickness = 3.0f;
             static int ngon_sides = 6;
+            static bool circle_segments_override = false;
+            static int circle_segments_override_v = 12;
             static ImVec4 colf = ImVec4(1.0f, 1.0f, 0.4f, 1.0f);
+            ImGui::PushItemWidth(-ImGui::GetFontSize() * 10);
             ImGui::DragFloat("Size", &sz, 0.2f, 2.0f, 72.0f, "%.0f");
             ImGui::DragFloat("Thickness", &thickness, 0.05f, 1.0f, 8.0f, "%.02f");
-            ImGui::SliderInt("n-gon sides", &ngon_sides, 3, 12);
+            ImGui::SliderInt("N-gon sides", &ngon_sides, 3, 12);
+            ImGui::Checkbox("##circlesegmentoverride", &circle_segments_override);
+            ImGui::SameLine(0.0f, ImGui::GetStyle().ItemInnerSpacing.x);
+            if (ImGui::SliderInt("Circle segments", &circle_segments_override_v, 3, 40))
+                circle_segments_override = true;
             ImGui::ColorEdit4("Color", &colf.x);
+            ImGui::PopItemWidth();
             const ImVec2 p = ImGui::GetCursorScreenPos();
             const ImU32 col = ImColor(colf);
+            const float spacing = 10.0f;
+            const ImDrawCornerFlags corners_none = 0;
+            const ImDrawCornerFlags corners_all = ImDrawCornerFlags_All;
+            const ImDrawCornerFlags corners_tl_br = ImDrawCornerFlags_TopLeft | ImDrawCornerFlags_BotRight;
+            const int circle_segments = circle_segments_override ? circle_segments_override_v : 0;
             float x = p.x + 4.0f, y = p.y + 4.0f;
-            float spacing = 10.0f;
-            ImDrawCornerFlags corners_none = 0;
-            ImDrawCornerFlags corners_all = ImDrawCornerFlags_All;
-            ImDrawCornerFlags corners_tl_br = ImDrawCornerFlags_TopLeft | ImDrawCornerFlags_BotRight;
             for (int n = 0; n < 2; n++)
             {
                 // First line uses a thickness of 1.0f, second line uses the configurable thickness
                 float th = (n == 0) ? 1.0f : thickness;
-                draw_list->AddNgon(ImVec2(x + sz*0.5f, y + sz*0.5f), sz*0.5f, col, ngon_sides, th);         x += sz + spacing;  // n-gon
-                draw_list->AddCircle(ImVec2(x + sz*0.5f, y + sz*0.5f), sz*0.5f, col, 0, th);                x += sz + spacing;  // Circle
+                draw_list->AddNgon(ImVec2(x + sz*0.5f, y + sz*0.5f), sz*0.5f, col, ngon_sides, th);         x += sz + spacing;  // N-gon
+                draw_list->AddCircle(ImVec2(x + sz*0.5f, y + sz*0.5f), sz*0.5f, col, circle_segments, th);  x += sz + spacing;  // Circle
                 draw_list->AddRect(ImVec2(x, y), ImVec2(x + sz, y + sz), col, 0.0f,  corners_none, th);     x += sz + spacing;  // Square
                 draw_list->AddRect(ImVec2(x, y), ImVec2(x + sz, y + sz), col, 10.0f, corners_all, th);      x += sz + spacing;  // Square with all rounded corners
                 draw_list->AddRect(ImVec2(x, y), ImVec2(x + sz, y + sz), col, 10.0f, corners_tl_br, th);    x += sz + spacing;  // Square with two rounded corners
@@ -4485,8 +4494,8 @@
                 x = p.x + 4;
                 y += sz + spacing;
             }
-            draw_list->AddNgonFilled(ImVec2(x + sz * 0.5f, y + sz * 0.5f), sz*0.5f, col, ngon_sides);   x += sz + spacing;  // n-gon
-            draw_list->AddCircleFilled(ImVec2(x + sz*0.5f, y + sz*0.5f), sz*0.5f, col, 0);              x += sz + spacing;  // Circle
+            draw_list->AddNgonFilled(ImVec2(x + sz * 0.5f, y + sz * 0.5f), sz*0.5f, col, ngon_sides);   x += sz + spacing;  // N-gon
+            draw_list->AddCircleFilled(ImVec2(x + sz*0.5f, y + sz*0.5f), sz*0.5f, col, circle_segments);x += sz + spacing;  // Circle
             draw_list->AddRectFilled(ImVec2(x, y), ImVec2(x + sz, y + sz), col);                        x += sz + spacing;  // Square
             draw_list->AddRectFilled(ImVec2(x, y), ImVec2(x + sz, y + sz), col, 10.0f);                 x += sz + spacing;  // Square with all rounded corners
             draw_list->AddRectFilled(ImVec2(x, y), ImVec2(x + sz, y + sz), col, 10.0f, corners_tl_br);  x += sz + spacing;  // Square with two rounded corners
diff --git a/imgui_draw.cpp b/imgui_draw.cpp
index 435e689..2f3370e 100644
--- a/imgui_draw.cpp
+++ b/imgui_draw.cpp
@@ -349,16 +349,29 @@
     FontSize = 0.0f;
     CurveTessellationTol = 0.0f;
     CircleSegmentMaxError = 0.0f;
-    CircleSegmentCountsMaxCircleSegmentError = -FLT_MIN; // Impossible value to force recalculation
     ClipRectFullscreen = ImVec4(-8192.0f, -8192.0f, +8192.0f, +8192.0f);
     InitialFlags = ImDrawListFlags_None;
 
-    // Const data
+    // Lookup tables
     for (int i = 0; i < IM_ARRAYSIZE(CircleVtx12); i++)
     {
         const float a = ((float)i * 2 * IM_PI) / (float)IM_ARRAYSIZE(CircleVtx12);
         CircleVtx12[i] = ImVec2(ImCos(a), ImSin(a));
     }
+    memset(CircleSegmentCounts, 0, sizeof(CircleSegmentCounts)); // This will be set by 
+}
+
+void ImDrawListSharedData::SetCircleSegmentMaxError(float max_error)
+{
+    if (CircleSegmentMaxError == max_error)
+        return;
+    CircleSegmentMaxError = max_error;
+    for (int i = 0; i < IM_ARRAYSIZE(CircleSegmentCounts); i++)
+    {
+        const float radius = i + 1.0f;
+        const int segment_count = IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_CALC(radius, CircleSegmentMaxError);
+        CircleSegmentCounts[i] = (ImU8)ImMin(segment_count, 255);
+    }
 }
 
 void ImDrawList::Clear()
@@ -1085,60 +1098,63 @@
     PathFillConvex(col);
 }
 
-void ImDrawListSharedData::RecalculateCircleSegmentCounts()
-{
-    for (int i = 0; i < NumCircleSegmentCounts; i++)
-    {
-        const float radius = i + 1.0f;
-        CircleSegmentCounts[i] = ImClamp((int)((IM_PI * 2.0f) / ImAcos((radius - CircleSegmentMaxError) / radius)), 3, 10000);
-    }
-
-    CircleSegmentCountsMaxCircleSegmentError = CircleSegmentMaxError;
-}
-
 void ImDrawList::AddCircle(const ImVec2& center, float radius, ImU32 col, int num_segments, float thickness)
 {
-    if ((col & IM_COL32_A_MASK) == 0 || (radius <= 0.0f))
+    if ((col & IM_COL32_A_MASK) == 0 || radius <= 0.0f)
         return;
 
-    // Calculate number of segments if required
+    // Obtain segment count
     if (num_segments <= 0)
     {
-        int radius_int = (int)radius;
-        if (radius_int <= ImDrawListSharedData::NumCircleSegmentCounts)
-            num_segments = _Data->CircleSegmentCounts[radius_int - 1]; // Use cached value
+        // Automatic segment count
+        const int radius_idx = (int)radius - 1;
+        if (radius_idx < IM_ARRAYSIZE(_Data->CircleSegmentCounts))
+            num_segments = _Data->CircleSegmentCounts[radius_idx]; // Use cached value
         else
-            num_segments = ImClamp((int)((IM_PI * 2.0f) / ImAcos((radius - _Data->CircleSegmentMaxError) / radius)), 3, 10000);
+            num_segments = IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_CALC(radius, _Data->CircleSegmentMaxError);
     }
-    else    
-        num_segments = ImClamp(num_segments, 3, 10000); // Clamp to avoid drawing insanely tessellated shapes
+    else
+    {
+        // Explicit segment count (still clamp to avoid drawing insanely tessellated shapes)
+        num_segments = ImClamp(num_segments, 3, IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MAX);
+    }
 
     // Because we are filling a closed shape we remove 1 from the count of segments/points
     const float a_max = (IM_PI * 2.0f) * ((float)num_segments - 1.0f) / (float)num_segments;
-    PathArcTo(center, radius - 0.5f, 0.0f, a_max, num_segments - 1);
+    if (num_segments == 12)
+        PathArcToFast(center, radius - 0.5f, 0, 12);
+    else
+        PathArcTo(center, radius - 0.5f, 0.0f, a_max, num_segments - 1);
     PathStroke(col, true, thickness);
 }
 
 void ImDrawList::AddCircleFilled(const ImVec2& center, float radius, ImU32 col, int num_segments)
 {
-    if ((col & IM_COL32_A_MASK) == 0 || (radius <= 0.0f))
+    if ((col & IM_COL32_A_MASK) == 0 || radius <= 0.0f)
         return;
 
-    // Calculate number of segments if required
+    // Obtain segment count
     if (num_segments <= 0)
     {
-        int radius_int = (int)radius;
-        if (radius_int <= ImDrawListSharedData::NumCircleSegmentCounts)
-            num_segments = _Data->CircleSegmentCounts[radius_int - 1]; // Use cached value
+        // Automatic segment count
+        const int radius_idx = (int)radius - 1;
+        if (radius_idx < IM_ARRAYSIZE(_Data->CircleSegmentCounts))
+            num_segments = _Data->CircleSegmentCounts[radius_idx]; // Use cached value
         else
-            num_segments = ImClamp((int)((IM_PI * 2.0f) / ImAcos((radius - _Data->CircleSegmentMaxError) / radius)), 3, 10000);
+            num_segments = IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_CALC(radius, _Data->CircleSegmentMaxError);
     }
     else
-        num_segments = ImClamp(num_segments, 3, 10000); // Clamp to avoid drawing insanely tessellated shapes
+    {
+        // Explicit segment count (still clamp to avoid drawing insanely tessellated shapes)
+        num_segments = ImClamp(num_segments, 3, IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MAX);
+    }
 
     // Because we are filling a closed shape we remove 1 from the count of segments/points
     const float a_max = (IM_PI * 2.0f) * ((float)num_segments - 1.0f) / (float)num_segments;
-    PathArcTo(center, radius, 0.0f, a_max, num_segments - 1);
+    if (num_segments == 12)
+        PathArcToFast(center, radius, 0, 12);
+    else
+        PathArcTo(center, radius, 0.0f, a_max, num_segments - 1);
     PathFillConvex(col);
 }
 
diff --git a/imgui_internal.h b/imgui_internal.h
index 6679219..e1279c0 100644
--- a/imgui_internal.h
+++ b/imgui_internal.h
@@ -848,7 +848,13 @@
     }
 };
 
+// Helper function to calculate a circle's segment count given its radius and a "maximum error" value.
+#define IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MIN                     12
+#define IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MAX                     512
+#define IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_CALC(_RAD,_MAXERROR)    ImClamp((int)((IM_PI * 2.0f) / ImAcos((_RAD - _MAXERROR) / _RAD)), IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MIN, IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MAX)
+
 // Data shared between all ImDrawList instances
+// You may want to create your own instance of this if you want to use ImDrawList completely without ImGui. In that case, watch out for future changes to this structure.
 struct IMGUI_API ImDrawListSharedData
 {
     ImVec2          TexUvWhitePixel;            // UV of white pixel in the atlas
@@ -859,18 +865,12 @@
     ImVec4          ClipRectFullscreen;         // Value for PushClipRectFullscreen()
     ImDrawListFlags InitialFlags;               // Initial flags at the beginning of the frame (it is possible to alter flags on a per-drawlist basis afterwards)
 
-    // Const data
-    // FIXME: Bake rounded corners fill/borders in atlas
-    ImVec2          CircleVtx12[12];
-
-    // Cached circle segment counts for the first <n> radii (to avoid calculation overhead)
-    static const int NumCircleSegmentCounts = 64;// Number of circle segment counts to cache (i.e. the maximum radius before we calculate dynamically)
-    int             CircleSegmentCounts[NumCircleSegmentCounts]; // The segment count for radius (array index + 1)
-    float           CircleSegmentCountsMaxCircleSegmentError; // The MaxCircleSegmentError used to calculate these counts
-
-    void RecalculateCircleSegmentCounts();      // Recalculate circle segment counts based on the current MaxCircleSegmentError
+    // [Internal] Lookup tables
+    ImVec2          CircleVtx12[12];            // FIXME: Bake rounded corners fill/borders in atlas
+    ImU8            CircleSegmentCounts[64];    // Precomputed segment count for given radius (array index + 1) before we calculate it dynamically (to avoid calculation overhead)
 
     ImDrawListSharedData();
+    void SetCircleSegmentMaxError(float max_error);
 };
 
 struct ImDrawDataBuilder