Helix: draw the thing, then let the numbers be dragged

grep -i helix over the viewport code returned nothing at all. The tool was four
coupled numbers and a Confirm button — you typed radius, pitch, height and taper
blind and pressed OK to find out what you had made. So this is not only the
charter's L2 failure; the tool had no visible state whatsoever while it was open.

Adds a plane-anchored helix gizmo built on the datum-plane gizmo as its template,
being the closest existing thing: also plane-anchored, also driven by a card while
the sketch tool is inactive, also a render / hit-test / drag triad.

It draws the live curve and the axis, and puts a handle on each of the three
lengths: radius on the base circle, height at the top of the axis, pitch at the
end of the first turn — which is exactly where one pitch of rise lands, so the
handle means what it is standing on. Below one full turn the pitch handle moves
to the end of the curve rather than floating off a curve that does not exist yet.

Taper and handedness stay on the card. One is a shape modifier and the other a
flag; L2 governs numbers you can point at.

A drag reports the whole (radius, pitch, height) triple rather than one value,
because pitch and height are coupled through the turn count and writing one alone
would redraw a stale curve. The callback re-feeds the gizmo directly instead of
going through refresh_preview(), since Helix takes the produces-no-solid early
return and refresh_preview would rewrite the status line on every mouse move.

REVIEW CATCH, fixed here: the first cut read taper as a fraction of the radius
consumed over the turn count. It is an ANGLE IN DEGREES — helix_spine() builds a
Geom_ConicalSurface of half-angle taper and takes the top radius as R+H*tan(taper),
growing with the height risen. The wrong reading drew a preview that collapsed to
a point for any non-zero taper while the committed feature was perfectly fine. A
preview that lies is worse than no preview, which is what this commit replaced.

Reviewed and compiled (libslic3r_gui, RC=0); not exercised. snaporca-i3jc.

src/slic3r/GUI/DesignSketchTool.hpp

@@ -119,7 +119,7 @@ public:
                                       || m_show_planes || m_show_axes
                                       || m_ex_active || m_mv_active || m_fl_active
                                       || m_hl_active || m_th_active || m_sh_active
-                                      || m_dr_active || m_ct_active || m_dz_active || m_dbp_active; }
+                                      || m_dr_active || m_ct_active || m_dz_active || m_dbp_active || m_hx_active; }
 
     // View helpers: the 3 world origin planes (XY/XZ/YZ) and the world axis triad, each
     // shown/hidden by a toggle (keys P / A). Off by default so the idle scene stays clean.
@@ -204,6 +204,16 @@ public:
     std::function<void(double usize, double vsize)> on_datum_size_changed;
     std::function<void(double offset)>              on_datum_offset_changed;
 
+    // Visual Helix gizmo. The Helix tool is a DesignPanel docked card (sketch tool NOT active),
+    // so the panel resolves the axis plane and feeds the live parameters here; the tool draws
+    // the helix curve itself plus three handles — radius on the base circle, height at the top
+    // of the axis, pitch at the end of the first turn. Taper and handedness stay on the card:
+    // one is a shape modifier and the other is a flag, and L2 governs numbers you can point at.
+    void set_helix_gizmo(const SketchPlane& plane, double radius, double pitch, double height,
+                         double taper, bool left_handed);
+    void clear_helix_gizmo();
+    std::function<void(double radius, double pitch, double height)> on_helix_changed;
+
     // Graphical base/origin pick: while the Plane card is open, the candidate base planes
     // (XY/XZ/YZ origin planes + existing datums) draw as translucent clickable ghosts. A click
     // on one fires on_datum_base_picked(base) with that plane's base index (0/1/2 or 3+N).
@@ -1013,6 +1023,22 @@ private:
     void  render_datum_gizmo();
     bool  hit_test_datum_handle(GLCanvas3D& canvas, const wxMouseEvent& evt, int& which) const;
     void  drag_datum_handle(GLCanvas3D& canvas, const wxMouseEvent& evt, int which);
+    // Helix gizmo state (plane-anchored curve + 3 drag handles). Fed by the panel while the
+    // Helix card is open (sketch tool NOT active); the tool draws the live helix plus a handle
+    // on each length parameter (radius/height/pitch). Taper and handedness stay on the card.
+    bool        m_hx_active{false};
+    SketchPlane m_hx_plane;                  // axis = plane normal, base circle in the plane
+    double      m_hx_radius{10.0};
+    double      m_hx_pitch{2.0};
+    double      m_hx_height{20.0};
+    double      m_hx_taper{0.0};             // DEGREES (cone half-angle), as the kernel reads it
+    bool        m_hx_left{false};
+    int         m_hx_drag{-1};               // 0=radius, 1=height, 2=pitch, -1 none
+    int         m_hx_press_x{0}, m_hx_press_y{0};
+    Vec3d helix_point(double t) const;       // curve point at parameter t (shared render/hit/drag)
+    void  render_helix_gizmo();
+    bool  hit_test_helix_handle(GLCanvas3D& canvas, const wxMouseEvent& evt, int& which) const;
+    void  drag_helix_handle(GLCanvas3D& canvas, const wxMouseEvent& evt, int which);
     // Datum base picker (translucent clickable origin/datum planes)
     bool        m_dbp_active{false};
     std::vector<SketchPlane>  m_dbp_planes;