teardrop_utils.cpp

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/*
 * This program source code file is part of KiCad, a free EDA CAD application.
 *
 * Copyright (C) 2021 Jean-Pierre Charras, jp.charras at wanadoo.fr
 * Copyright The KiCad Developers, see AUTHORS.txt for contributors.
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, you may find one here:
 * http://www.gnu.org/licenses/old-licenses/gpl-2.0.html
 * or you may search the http://www.gnu.org website for the version 2 license,
 * or you may write to the Free Software Foundation, Inc.,
 * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA
 */
 
/*
 * Some calculations (mainly computeCurvedForRoundShape) are derived from
 * https://github.com/NilujePerchut/kicad_scripts/tree/master/teardrops
 */
 
#include <board_design_settings.h>
#include <pcb_track.h>
#include <pad.h>
#include <zone_filler.h>
#include <board_commit.h>
#include <drc/drc_rtree.h>
#include <trigo.h>
 
#include "teardrop.h"
#include <geometry/convex_hull.h>
#include <geometry/shape_line_chain.h>
#include <convert_basic_shapes_to_polygon.h>
#include <bezier_curves.h>
 
#include <wx/log.h>
 
 
void TRACK_BUFFER::AddTrack( PCB_TRACK* aTrack, int aLayer, int aNetcode )
{
    auto item = m_map_tracks.find( idxFromLayNet( aLayer, aNetcode ) );
    std::vector<PCB_TRACK*>* buffer;
 
    if( item == m_map_tracks.end() )
    {
        buffer = new std::vector<PCB_TRACK*>;
        m_map_tracks[idxFromLayNet( aLayer, aNetcode )] = buffer;
    }
    else
    {
        buffer = (*item).second;
    }
 
    buffer->push_back( aTrack );
}
 
 
int TEARDROP_MANAGER::GetWidth( BOARD_ITEM* aItem, PCB_LAYER_ID aLayer )
{
    if( aItem->Type() == PCB_VIA_T )
    {
        PCB_VIA* via = static_cast<PCB_VIA*>( aItem );
        return via->GetWidth( aLayer );
    }
    else if( aItem->Type() == PCB_PAD_T )
    {
        PAD* pad = static_cast<PAD*>( aItem );
        return std::min( pad->GetSize( aLayer ).x, pad->GetSize( aLayer ).y );
    }
    else if( aItem->Type() == PCB_TRACE_T || aItem->Type() == PCB_ARC_T )
    {
        PCB_TRACK* track = static_cast<PCB_TRACK*>( aItem );
        return track->GetWidth();
    }
 
    return 0;
}
 
 
bool TEARDROP_MANAGER::IsRound( BOARD_ITEM* aItem, PCB_LAYER_ID aLayer )
{
    if( aItem->Type() == PCB_PAD_T )
    {
        PAD* pad = static_cast<PAD*>( aItem );
 
        return pad->GetShape( aLayer ) == PAD_SHAPE::CIRCLE
               || ( pad->GetShape( aLayer ) == PAD_SHAPE::OVAL
                    && pad->GetSize( aLayer ).x
                               == pad->GetSize( aLayer ).y );
    }
 
    return true;
}
 
 
void TEARDROP_MANAGER::BuildTrackCaches()
{
    for( PCB_TRACK* track : m_board->Tracks() )
    {
        if( track->Type() == PCB_TRACE_T || track->Type() == PCB_ARC_T )
        {
            m_tracksRTree.Insert( track, track->GetLayer() );
            m_trackLookupList.AddTrack( track, track->GetLayer(), track->GetNetCode() );
        }
    }
 
    m_tracksRTree.Build();
}
 
 
bool TEARDROP_MANAGER::areItemsInSameZone( BOARD_ITEM* aPadOrVia, PCB_TRACK* aTrack ) const
{
    PCB_LAYER_ID layer = aTrack->GetLayer();
 
    for( ZONE* zone : m_board->Zones() )
    {
        // Skip teardrops
        if( zone->IsTeardropArea() )
            continue;
 
        // Only consider zones on the same layer as the track
        if( !zone->IsOnLayer( layer ) )
            continue;
 
        if( zone->GetNetCode() != aTrack->GetNetCode() )
            continue;
 
        // The zone must have filled copper on this layer to provide a connection
        if( !zone->HasFilledPolysForLayer( layer ) )
            continue;
 
        std::shared_ptr<SHAPE_POLY_SET> fill = zone->GetFilledPolysList( layer );
 
        if( !fill || fill->IsEmpty() )
            continue;
 
        // Check if the zone's filled copper actually contains both the pad/via and the track.
        // The zone outline might contain these items, but the actual fill might not reach them
        // due to thermal settings, minimum width, island removal, etc.
        VECTOR2I padPos( aPadOrVia->GetPosition() );
 
        if( !fill->Contains( padPos ) )
            continue;
 
        // Also verify the track is within the filled zone (check both endpoints)
        if( !fill->Contains( aTrack->GetStart() ) && !fill->Contains( aTrack->GetEnd() ) )
            continue;
 
        // If the first item is a pad, ensure it can be connected to the zone
        if( aPadOrVia->Type() == PCB_PAD_T )
        {
            PAD* pad = static_cast<PAD*>( aPadOrVia );
 
            if( zone->GetPadConnection() == ZONE_CONNECTION::NONE
                || pad->GetZoneConnectionOverrides( nullptr ) == ZONE_CONNECTION::NONE )
            {
                return false;
            }
        }
 
        return true;
    }
 
    return false;
}
 
 
int TEARDROP_MANAGER::computeEmergingTrackLength( PCB_TRACK* aTrack, BOARD_ITEM* aOther,
                                                  PCB_LAYER_ID aLayer ) const
{
    VECTOR2I start = aTrack->GetStart();
    VECTOR2I end = aTrack->GetEnd();
    bool     startInside = aOther->HitTest( start, 0 );
    bool     endInside = aOther->HitTest( end, 0 );
 
    if( startInside && endInside )
        return 0;
 
    // Fully outside: caller handles crossing geometry separately; report full length so
    // the emergence filter never rejects those.
    if( !startInside && !endInside )
        return KiROUND( SEG( start, end ).Length() );
 
    // Exactly one endpoint inside: normalize so start is outside, end is inside.
    if( startInside )
        std::swap( start, end );
 
    int            maxError = m_board->GetDesignSettings().m_MaxError;
    int            radius = GetWidth( aOther, aLayer ) / 2;
    SHAPE_POLY_SET shapebuffer;
 
    if( IsRound( aOther, aLayer ) )
    {
        TransformCircleToPolygon( shapebuffer, aOther->GetPosition(), radius, maxError,
                                  ERROR_INSIDE, 16 );
    }
    else
    {
        wxCHECK_MSG( aOther->Type() == PCB_PAD_T, 0, wxT( "Expected non-round item to be PAD" ) );
        static_cast<PAD*>( aOther )->TransformShapeToPolygon( shapebuffer, aLayer, 0, maxError,
                                                              ERROR_INSIDE );
    }
 
    SHAPE_LINE_CHAIN& outline = shapebuffer.Outline( 0 );
    outline.SetClosed( true );
 
    SHAPE_LINE_CHAIN::INTERSECTIONS pts;
    int                             pt_count = 0;
 
    if( aTrack->Type() == PCB_ARC_T )
    {
        SHAPE_ARC arc( aTrack->GetStart(), static_cast<PCB_ARC*>( aTrack )->GetMid(),
                       aTrack->GetEnd(), aTrack->GetWidth() );
        SHAPE_LINE_CHAIN poly = arc.ConvertToPolyline( maxError );
        pt_count = outline.Intersect( poly, pts );
    }
    else
    {
        pt_count = outline.Intersect( SEG( start, end ), pts );
    }
 
    if( pt_count < 1 )
        return 0;
 
    double minDist = std::numeric_limits<double>::max();
 
    for( const SHAPE_LINE_CHAIN::INTERSECTION& hit : pts )
    {
        double d = ( hit.p - start ).EuclideanNorm();
 
        if( d < minDist )
            minDist = d;
    }
 
    return KiROUND( minDist );
}
 
 
PCB_TRACK* TEARDROP_MANAGER::findTouchingTrack( EDA_ITEM_FLAGS& aMatchType, PCB_TRACK* aTrackRef,
                                                const VECTOR2I& aEndPoint ) const
{
    int matches = 0;                    // Count of candidates: only 1 is acceptable
    PCB_TRACK* candidate = nullptr;     // a reference to the track connected
 
    m_tracksRTree.QueryColliding( aTrackRef, aTrackRef->GetLayer(), aTrackRef->GetLayer(),
            // Filter:
            [&]( BOARD_ITEM* trackItem ) -> bool
            {
                return trackItem != aTrackRef;
            },
            // Visitor
            [&]( BOARD_ITEM* trackItem ) -> bool
            {
                PCB_TRACK* curr_track = static_cast<PCB_TRACK*>( trackItem );
 
                // IsPointOnEnds() returns 0, EDA_ITEM_FLAGS::STARTPOINT or EDA_ITEM_FLAGS::ENDPOINT
                if( EDA_ITEM_FLAGS match = curr_track->IsPointOnEnds( aEndPoint, m_tolerance ) )
                {
                    // if faced with a Y junction, choose the track longest segment as candidate
                    matches++;
 
                    if( matches > 1 )
                    {
                        double previous_len = candidate->GetLength();
                        double curr_len = curr_track->GetLength();
 
                        if( previous_len >= curr_len )
                            return true;
                    }
 
                    aMatchType = match;
                    candidate = curr_track;
                }
 
                return true;
            },
            0 );
 
    return candidate;
}
 

static VECTOR2D NormalizeVector( const VECTOR2I& aVector )
{
    VECTOR2D vect( aVector );
    double norm = vect.EuclideanNorm();
    return vect / norm;
}
 
 
/*
 * Compute the curve part points for teardrops connected to a round shape
 * The Bezier curve control points are optimized for a round pad/via shape,
 * and do not give a good curve shape for other pad shapes.
 *
 * For large circles where the teardrop width is constrained, the anchor points
 * are projected onto the circle edge to ensure proper tangent calculation.
 */
void TEARDROP_MANAGER::computeCurvedForRoundShape( const TEARDROP_PARAMETERS& aParams,
                                                   std::vector<VECTOR2I>& aPoly,
                                                   PCB_LAYER_ID aLayer,
                                                   int aTrackHalfWidth, const VECTOR2D& aTrackDir,
                                                   BOARD_ITEM* aOther, const VECTOR2I& aOtherPos,
                                                   std::vector<VECTOR2I>& pts ) const
{
    int maxError = m_board->GetDesignSettings().m_MaxError;
 
    // in pts:
    // A and B are points on the track ( pts[0] and  pts[1] )
    // C and E are points on the aViaPad ( pts[2] and  pts[4] )
    // D is the aViaPad centre ( pts[3] )
    double Vpercent = aParams.m_BestWidthRatio;
    int td_height = KiROUND( GetWidth( aOther, aLayer ) * Vpercent );
 
    // First, calculate a aVpercent equivalent to the td_height clamped by aTdMaxHeight
    // We cannot use the initial aVpercent because it gives bad shape with points
    // on aViaPad calculated for a clamped aViaPad size
    if( aParams.m_TdMaxWidth > 0 && aParams.m_TdMaxWidth < td_height )
         Vpercent *= (double) aParams.m_TdMaxWidth / td_height;
 
    int radius = GetWidth( aOther, aLayer ) / 2;
 
    // Don't divide by zero.  No good can come of that.
    wxCHECK2( radius != 0, radius = 1 );
 
    double minVpercent = double( aTrackHalfWidth ) / radius;
    double weaken = (Vpercent - minVpercent) / ( 1 - minVpercent ) / radius;
 
    // For large circles where teardrop width is constrained, the anchor points from the
    // convex hull may not be exactly on the circle. Project them onto the circle edge
    // to ensure proper tangent calculation for smooth curves.
    VECTOR2I vecC = pts[2] - aOtherPos;
    double distC = vecC.EuclideanNorm();
 
    if( distC > 0 && std::abs( distC - radius ) > maxError )
    {
        // Point is not on the circle - project it to the circle edge
        pts[2] = aOtherPos + vecC.Resize( radius );
        vecC = pts[2] - aOtherPos;
    }
 
    VECTOR2I vecE = pts[4] - aOtherPos;
    double distE = vecE.EuclideanNorm();
 
    if( distE > 0 && std::abs( distE - radius ) > maxError )
    {
        // Point is not on the circle - project it to the circle edge
        pts[4] = aOtherPos + vecE.Resize( radius );
        vecE = pts[4] - aOtherPos;
    }
 
    double biasBC = 0.5 * SEG( pts[1], pts[2] ).Length();
    double biasAE = 0.5 * SEG( pts[4], pts[0] ).Length();
 
    VECTOR2I tangentC = VECTOR2I( pts[2].x - vecC.y * biasBC * weaken,
                                pts[2].y + vecC.x * biasBC * weaken );
    VECTOR2I tangentE = VECTOR2I( pts[4].x + vecE.y * biasAE * weaken,
                                pts[4].y - vecE.x * biasAE * weaken );
 
    VECTOR2I tangentB = VECTOR2I( pts[1].x - aTrackDir.x * biasBC, pts[1].y - aTrackDir.y * biasBC );
    VECTOR2I tangentA = VECTOR2I( pts[0].x - aTrackDir.x * biasAE, pts[0].y - aTrackDir.y * biasAE );
 
    std::vector<VECTOR2I> curve_pts;
    BEZIER_POLY( pts[1], tangentB, tangentC, pts[2] ).GetPoly( curve_pts, maxError );
 
    for( VECTOR2I& corner: curve_pts )
        aPoly.push_back( corner );
 
    aPoly.push_back( pts[3] );
 
    curve_pts.clear();
    BEZIER_POLY( pts[4], tangentE, tangentA, pts[0] ).GetPoly( curve_pts, maxError );
 
    for( VECTOR2I& corner: curve_pts )
        aPoly.push_back( corner );
}
 

static VECTOR2I computeCornerTangentControlPoint( const VECTOR2I& aAnchor,
                                                   const VECTOR2I& aCornerCenter,
                                                   double aBias,
                                                   const VECTOR2I& aDesiredDir )
{
    VECTOR2I radial = aAnchor - aCornerCenter;
 
    if( radial.EuclideanNorm() == 0 )
        return aAnchor;
 
    // Tangent is perpendicular to the radius. There are two perpendicular directions:
    // (radial.y, -radial.x) and (-radial.y, radial.x)
    // Choose the one that best aligns with the desired direction (toward the track)
    VECTOR2I tangent1( radial.y, -radial.x );
    VECTOR2I tangent2( -radial.y, radial.x );
 
    // Use dot product to determine which tangent direction aligns better with desired direction
    int64_t dot1 = static_cast<int64_t>( tangent1.x ) * aDesiredDir.x
                 + static_cast<int64_t>( tangent1.y ) * aDesiredDir.y;
    int64_t dot2 = static_cast<int64_t>( tangent2.x ) * aDesiredDir.x
                 + static_cast<int64_t>( tangent2.y ) * aDesiredDir.y;
 
    VECTOR2I tangent = ( dot1 > dot2 ) ? tangent1 : tangent2;
 
    return aAnchor + tangent.Resize( KiROUND( aBias ) );
}
 

static bool isPointOnOvalEnd( const VECTOR2I& aPoint, const VECTOR2I& aPadPos,
                              const VECTOR2I& aPadSize, const EDA_ANGLE& aRotation,
                              VECTOR2I& aArcCenter )
{
    // Transform point to pad-local coordinates (unrotated)
    VECTOR2I localPt = aPoint - aPadPos;
    RotatePoint( localPt, aRotation );
 
    int halfW = aPadSize.x / 2;
    int halfH = aPadSize.y / 2;
 
    // Oval geometry: semicircle radius is min dimension / 2
    // The semicircle centers are offset along the major axis
    int radius = std::min( halfW, halfH );
    bool isHorizontal = halfW > halfH;
 
    if( isHorizontal )
    {
        // Semicircles at left and right ends
        int centerOffset = halfW - radius;
 
        // Check if point is in the curved region (beyond the straight sides)
        if( std::abs( localPt.x ) <= centerOffset )
            return false;
 
        // Determine which end
        int centerX = ( localPt.x > 0 ) ? centerOffset : -centerOffset;
        aArcCenter = VECTOR2I( centerX, 0 );
    }
    else
    {
        // Semicircles at top and bottom ends
        int centerOffset = halfH - radius;
 
        // Check if point is in the curved region (beyond the straight sides)
        if( std::abs( localPt.y ) <= centerOffset )
            return false;
 
        // Determine which end
        int centerY = ( localPt.y > 0 ) ? centerOffset : -centerOffset;
        aArcCenter = VECTOR2I( 0, centerY );
    }
 
    // Transform arc center back to board coordinates
    RotatePoint( aArcCenter, -aRotation );
    aArcCenter += aPadPos;
 
    return true;
}
 

static bool isPointOnRoundedCorner( const VECTOR2I& aPoint, const VECTOR2I& aPadPos,
                                    const VECTOR2I& aPadSize, int aCornerRadius,
                                    const EDA_ANGLE& aRotation, VECTOR2I& aCornerCenter )
{
    // Transform point to pad-local coordinates (unrotated)
    VECTOR2I localPt = aPoint - aPadPos;
    RotatePoint( localPt, aRotation );
 
    // Half-sizes minus corner radius define the inner rectangle
    int halfW = aPadSize.x / 2;
    int halfH = aPadSize.y / 2;
    int innerHalfW = halfW - aCornerRadius;
    int innerHalfH = halfH - aCornerRadius;
 
    // Point is in corner region if it's outside the inner rectangle in both dimensions
    bool inCornerX = std::abs( localPt.x ) > innerHalfW;
    bool inCornerY = std::abs( localPt.y ) > innerHalfH;
 
    if( !inCornerX || !inCornerY )
        return false;
 
    // Determine which corner
    int cornerX = ( localPt.x > 0 ) ? innerHalfW : -innerHalfW;
    int cornerY = ( localPt.y > 0 ) ? innerHalfH : -innerHalfH;
 
    aCornerCenter = VECTOR2I( cornerX, cornerY );
 
    // Transform corner center back to board coordinates
    RotatePoint( aCornerCenter, -aRotation );
    aCornerCenter += aPadPos;
 
    return true;
}
 
 
/*
 * Compute the curve part points for teardrops connected to a rectangular/polygonal shape.
 * For rounded rectangles, control points are computed to be tangent to corner arcs,
 * preventing the teardrop curve from intersecting the pad's corner radius.
 */
void TEARDROP_MANAGER::computeCurvedForRectShape( const TEARDROP_PARAMETERS& aParams,
                                                  std::vector<VECTOR2I>& aPoly, int aTdWidth,
                                                  int aTrackHalfWidth,
                                                  std::vector<VECTOR2I>& aPts,
                                                  const VECTOR2I& aIntersection,
                                                  BOARD_ITEM* aOther,
                                                  const VECTOR2I& aOtherPos,
                                                  PCB_LAYER_ID aLayer ) const
{
    int maxError = m_board->GetDesignSettings().m_MaxError;
 
    // in aPts:
    // A and B are points on the track ( pts[0] and pts[1] )
    // C and E are points on the pad/via ( pts[2] and pts[4] )
    // D is the aViaPad centre ( pts[3] )
 
    // side1 is( aPts[1], aPts[2] );  from track to via
    VECTOR2I side1( aPts[2] - aPts[1] );  // vector from track to via
    // side2 is ( aPts[4], aPts[0] ); from via to track
    VECTOR2I side2( aPts[4] - aPts[0] );  // vector from track to via
 
    VECTOR2I trackDir( aIntersection - ( aPts[0] + aPts[1] ) / 2 );
 
    // Check if this is a rounded rectangle or oval pad (both have curved regions)
    bool isRoundRect = false;
    bool isOval = false;
    int cornerRadius = 0;
    VECTOR2I padSize;
    EDA_ANGLE padRotation;
 
    if( aOther && aOther->Type() == PCB_PAD_T )
    {
        PAD* pad = static_cast<PAD*>( aOther );
        PAD_SHAPE shape = pad->GetShape( aLayer );
 
        if( shape == PAD_SHAPE::ROUNDRECT )
        {
            isRoundRect = true;
            cornerRadius = pad->GetRoundRectCornerRadius( aLayer );
            padSize = pad->GetSize( aLayer );
            padRotation = pad->GetOrientation();
        }
        else if( shape == PAD_SHAPE::OVAL )
        {
            isOval = true;
            padSize = pad->GetSize( aLayer );
            padRotation = pad->GetOrientation();
        }
    }
 
    std::vector<VECTOR2I> curve_pts;
 
    // Compute control points for the first Bezier curve (track point B to pad point C)
    VECTOR2I ctrl1 = aPts[1] + trackDir.Resize( side1.EuclideanNorm() / 4 );
    VECTOR2I ctrl2;
 
    // Direction from pad anchor toward track (opposite of trackDir which goes pad-ward)
    VECTOR2I towardTrack = -trackDir;
 
    // Default control point - midpoint approach
    ctrl2 = ( aPts[2] + aIntersection ) / 2;
 
    if( isRoundRect && cornerRadius > 0 )
    {
        VECTOR2I cornerCenter;
 
        if( isPointOnRoundedCorner( aPts[2], aOtherPos, padSize, cornerRadius,
                                    padRotation, cornerCenter ) )
        {
            // Anchor is on a corner arc - use tangent-based control point
            double bias = 0.5 * side1.EuclideanNorm();
            ctrl2 = computeCornerTangentControlPoint( aPts[2], cornerCenter, bias, towardTrack );
        }
    }
    else if( isOval )
    {
        VECTOR2I arcCenter;
 
        if( isPointOnOvalEnd( aPts[2], aOtherPos, padSize, padRotation, arcCenter ) )
        {
            // Anchor is on a curved end - use tangent-based control point
            double bias = 0.5 * side1.EuclideanNorm();
            ctrl2 = computeCornerTangentControlPoint( aPts[2], arcCenter, bias, towardTrack );
        }
    }
 
    BEZIER_POLY( aPts[1], ctrl1, ctrl2, aPts[2] ).GetPoly( curve_pts, maxError );
 
    for( VECTOR2I& corner: curve_pts )
        aPoly.push_back( corner );
 
    aPoly.push_back( aPts[3] );
 
    // Compute control points for second Bezier curve (pad point E to track point A)
    curve_pts.clear();
 
    // Default control point - midpoint approach
    ctrl1 = ( aPts[4] + aIntersection ) / 2;
 
    if( isRoundRect && cornerRadius > 0 )
    {
        VECTOR2I cornerCenter;
 
        if( isPointOnRoundedCorner( aPts[4], aOtherPos, padSize, cornerRadius,
                                    padRotation, cornerCenter ) )
        {
            // Anchor is on a corner arc - use tangent-based control point
            double bias = 0.5 * side2.EuclideanNorm();
            ctrl1 = computeCornerTangentControlPoint( aPts[4], cornerCenter, bias, towardTrack );
        }
    }
    else if( isOval )
    {
        VECTOR2I arcCenter;
 
        if( isPointOnOvalEnd( aPts[4], aOtherPos, padSize, padRotation, arcCenter ) )
        {
            // Anchor is on a curved end - use tangent-based control point
            double bias = 0.5 * side2.EuclideanNorm();
            ctrl1 = computeCornerTangentControlPoint( aPts[4], arcCenter, bias, towardTrack );
        }
    }
 
    ctrl2 = aPts[0] + trackDir.Resize( side2.EuclideanNorm() / 4 );
 
    BEZIER_POLY( aPts[4], ctrl1, ctrl2, aPts[0] ).GetPoly( curve_pts, maxError );
 
    for( VECTOR2I& corner: curve_pts )
        aPoly.push_back( corner );
}
 
 
bool TEARDROP_MANAGER::computeAnchorPoints( const TEARDROP_PARAMETERS& aParams, PCB_LAYER_ID aLayer,
                                            BOARD_ITEM* aItem, const VECTOR2I& aPos,
                                            std::vector<VECTOR2I>& aPts ) const
{
    int maxError = m_board->GetDesignSettings().m_MaxError;
 
    // Compute the 2 anchor points on pad/via/track of the teardrop shape
 
    SHAPE_POLY_SET c_buffer;
 
    // m_BestWidthRatio is the factor to calculate the teardrop preferred width.
    // teardrop width = pad, via or track size * m_BestWidthRatio (m_BestWidthRatio <= 1.0)
    // For rectangular (and similar) shapes, the preferred_width is calculated from the min
    // dim of the rectangle
 
    int preferred_width = KiROUND( GetWidth( aItem, aLayer ) * aParams.m_BestWidthRatio );
 
    // force_clip = true to force the pad/via/track polygon to be clipped to follow
    // constraints
    // Clipping is also needed for rectangular shapes, because the teardrop shape is restricted
    // to a polygonal area smaller than the pad area (the teardrop height use the smaller value
    // of X and Y sizes).
    bool force_clip = aParams.m_BestWidthRatio < 1.0;
 
    // To find the anchor points on the pad/via/track shape, we build the polygonal shape, and
    // clip the polygon to the max size (preferred_width or m_TdMaxWidth) by a rectangle
    // centered on the axis of the expected teardrop shape.
    // (only reduce the size of polygonal shape does not give good anchor points)
    if( IsRound( aItem, aLayer ) )
    {
        TransformCircleToPolygon( c_buffer, aPos, GetWidth( aItem, aLayer ) / 2, maxError,
                                  ERROR_INSIDE, 16 );
    }
    else    // Only PADS can have a not round shape
    {
        wxCHECK_MSG( aItem->Type() == PCB_PAD_T, false, wxT( "Expected non-round item to be PAD" ) );
        PAD* pad = static_cast<PAD*>( aItem );
 
        force_clip = true;
 
        preferred_width = KiROUND( GetWidth( pad, aLayer ) * aParams.m_BestWidthRatio );
        pad->TransformShapeToPolygon( c_buffer, aLayer, 0, maxError, ERROR_INSIDE );
    }
 
    // Clip the pad/via/track shape to match the m_TdMaxWidth constraint, and for non-round pads,
    // clip the shape to the smallest of size.x and size.y values.
    if( force_clip || ( aParams.m_TdMaxWidth > 0 && aParams.m_TdMaxWidth < preferred_width ) )
    {
        int halfsize = std::min( aParams.m_TdMaxWidth, preferred_width )/2;
 
        // teardrop_axis is the line from anchor point on the track and the end point
        // of the teardrop in the pad/via
        // this is the teardrop_axis of the teardrop shape to build
        VECTOR2I ref_on_track = ( aPts[0] + aPts[1] ) / 2;
        VECTOR2I teardrop_axis( aPts[3] - ref_on_track );
 
        EDA_ANGLE orient( teardrop_axis );
        int len = teardrop_axis.EuclideanNorm();
 
        // Build the constraint polygon: a rectangle with
        // length = dist between the point on track and the pad/via pos
        // height = m_TdMaxWidth or aViaPad.m_Width
        SHAPE_POLY_SET clipping_rect;
        clipping_rect.NewOutline();
 
        // Build a horizontal rect: it will be rotated later
        clipping_rect.Append( 0, - halfsize );
        clipping_rect.Append( 0, halfsize );
        clipping_rect.Append( len, halfsize );
        clipping_rect.Append( len, - halfsize );
 
        clipping_rect.Rotate( -orient );
        clipping_rect.Move( ref_on_track );
 
        // Clip the shape to the max allowed teadrop area
        c_buffer.BooleanIntersection( clipping_rect );
    }
 
    /* in aPts:
     * A and B are points on the track ( aPts[0] and  aPts[1] )
     * C and E are points on the aViaPad ( aPts[2] and  aPts[4] )
     * D is midpoint behind the aViaPad centre ( aPts[3] )
     */
 
    if( c_buffer.OutlineCount() == 0 )
        return false;
 
    SHAPE_LINE_CHAIN& padpoly = c_buffer.Outline(0);
    std::vector<VECTOR2I> points = padpoly.CPoints();
 
    std::vector<VECTOR2I> initialPoints;
    initialPoints.push_back( aPts[0] );
    initialPoints.push_back( aPts[1] );
 
    for( const VECTOR2I& pt: points )
        initialPoints.emplace_back( pt.x, pt.y );
 
    std::vector<VECTOR2I> hull;
    BuildConvexHull( hull, initialPoints );
 
    // Search for end points of segments starting at aPts[0] or aPts[1]
    // In some cases, in convex hull, only one point (aPts[0] or aPts[1]) is still in list
    VECTOR2I PointC;
    VECTOR2I PointE;
    int found_start = -1;      // 2 points (one start and one end) should be found
    int found_end   = -1;
 
    VECTOR2I start = aPts[0];
    VECTOR2I pend  = aPts[1];
 
    for( unsigned ii = 0, jj = 0; jj < hull.size(); ii++, jj++ )
    {
        unsigned next = ii+ 1;
 
        if( next >= hull.size() )
            next = 0;
 
        int prev = ii -1;
 
        if( prev < 0 )
            prev = hull.size()-1;
 
        if( hull[ii] == start )
        {
            // the previous or the next point is candidate:
            if( hull[next] != pend )
                PointE = hull[next];
            else
                PointE = hull[prev];
 
            found_start = ii;
        }
 
        if( hull[ii] == pend )
        {
            if( hull[next] != start )
                PointC = hull[next];
            else
                PointC = hull[prev];
 
            found_end = ii;
        }
    }
 
    if( found_start < 0 )   // PointE was not initialized, because start point does not exit
    {
        int ii = found_end-1;
 
        if( ii < 0 )
            ii = hull.size()-1;
 
        PointE = hull[ii];
    }
 
    if( found_end < 0 )   // PointC was not initialized, because end point does not exit
    {
        int ii = found_start-1;
 
        if( ii < 0 )
            ii = hull.size()-1;
 
        PointC = hull[ii];
    }
 
    aPts[2] = PointC;
    aPts[4] = PointE;
 
    // Now we have to know if the choice aPts[2] = PointC is the best, or if
    // aPts[2] = PointE is better.
    // A criteria is to calculate the polygon area in these 2 cases, and choose the case
    // that gives the bigger area, because the segments starting at PointC and PointE
    // maximize their distance.
    SHAPE_LINE_CHAIN dummy1( aPts, true );
    double area1 = dummy1.Area();
 
    std::swap( aPts[2], aPts[4] );
    SHAPE_LINE_CHAIN dummy2( aPts, true );
    double area2 = dummy2.Area();
 
    if( area1 > area2 )     // The first choice (without swapping) is the better.
        std::swap( aPts[2], aPts[4] );
 
    return true;
}
 
 
bool TEARDROP_MANAGER::findAnchorPointsOnTrack( const TEARDROP_PARAMETERS& aParams,
                                                VECTOR2I& aStartPoint, VECTOR2I& aEndPoint,
                                                VECTOR2I& aIntersection, PCB_TRACK*& aTrack,
                                                BOARD_ITEM* aOther, const VECTOR2I& aOtherPos,
                                                int* aEffectiveTeardropLen ) const
{
    bool         found = true;
    VECTOR2I     start = aTrack->GetStart();    // one reference point on the track, inside teardrop
    VECTOR2I     end = aTrack->GetEnd();        // the second reference point on the track, outside teardrop
    PCB_LAYER_ID layer = aTrack->GetLayer();
    int          radius = GetWidth( aOther, layer ) / 2;
    int          maxError = m_board->GetDesignSettings().m_MaxError;
 
    // Requested length of the teardrop:
    int targetLength = KiROUND( GetWidth( aOther, layer ) * aParams.m_BestLengthRatio );
 
    if( aParams.m_TdMaxLen > 0 )
        targetLength = std::min( aParams.m_TdMaxLen, targetLength );
 
    // actualTdLen is the distance between start and the teardrop point on the segment from start to end
    int  actualTdLen;
    bool need_swap = false;     // true if the start and end points of the current track are swapped
 
    // aTrack is expected to have one end inside the via/pad and the other end outside
    // so ensure the start point is inside the via/pad
    if( !aOther->HitTest( start, 0 ) )
    {
        std::swap( start, end );
        need_swap = true;
    }
 
    SHAPE_POLY_SET shapebuffer;
 
    if( IsRound( aOther, layer ) )
    {
        TransformCircleToPolygon( shapebuffer, aOtherPos, radius, maxError, ERROR_INSIDE, 16 );
    }
    else
    {
        wxCHECK_MSG( aOther->Type() == PCB_PAD_T, false, wxT( "Expected non-round item to be PAD" ) );
        static_cast<PAD*>( aOther )->TransformShapeToPolygon( shapebuffer, aTrack->GetLayer(), 0,
                                                              maxError, ERROR_INSIDE );
    }
 
    SHAPE_LINE_CHAIN& outline = shapebuffer.Outline(0);
    outline.SetClosed( true );
 
    // Search the intersection point between the pad/via shape and the current track
    // This this the starting point to define the teardrop length
    SHAPE_LINE_CHAIN::INTERSECTIONS pts;
    int pt_count;
 
    if( aTrack->Type() == PCB_ARC_T )
    {
        // To find the starting point we convert the arc to a polyline
        // and compute the intersection point with the pad/via shape
        SHAPE_ARC arc( aTrack->GetStart(), static_cast<PCB_ARC*>( aTrack )->GetMid(),
                       aTrack->GetEnd(), aTrack->GetWidth() );
 
        SHAPE_LINE_CHAIN poly = arc.ConvertToPolyline( maxError );
        pt_count = outline.Intersect( poly, pts );
    }
    else
    {
        pt_count = outline.Intersect( SEG( start, end ), pts );
    }
 
    // Ensure a intersection point was found, otherwise we cannot built the teardrop
    // using this track (it is fully outside or inside the pad/via shape)
    if( pt_count < 1 )
        return false;
 
    aIntersection = pts[0].p;
    start = aIntersection;      // This is currently the reference point of the teardrop length
 
    // actualTdLen for now the distance between start and the teardrop point on the (start end)segment
    // It cannot be bigger than the lenght of this segment
    actualTdLen = std::min( targetLength, SEG( start, end ).Length() );
    VECTOR2I ref_lenght_point = start;    // the reference point of actualTdLen
 
    // If the first track is too short to allow a teardrop having the requested length
    // explore the connected track(s), and try to find a anchor point at targetLength from initial start
    if( actualTdLen < targetLength && aParams.m_AllowUseTwoTracks )
    {
        int consumed = 0;
 
        while( actualTdLen + consumed < targetLength )
        {
            EDA_ITEM_FLAGS matchType;
 
            PCB_TRACK* connected_track = findTouchingTrack( matchType, aTrack, end );
 
            if( connected_track == nullptr )
                break;
 
            // Reject the extension if the angle between segments is too large.
            // Large angles cause the teardrop shape to bend sharply at the junction.
            // The junction transition code handles bends up to ~60 degrees, so use
            // cos(60) = 0.5 as the threshold.
            constexpr double kMinCosForTwoSegmentExtension = 0.5;
 
            VECTOR2D firstDir = NormalizeVector( end - ref_lenght_point );
            VECTOR2D secondDir;
 
            if( matchType == STARTPOINT )
            {
                secondDir = NormalizeVector( connected_track->GetEnd()
                                             - connected_track->GetStart() );
            }
            else
            {
                secondDir = NormalizeVector( connected_track->GetStart()
                                             - connected_track->GetEnd() );
            }
 
            double cosAngle = firstDir.x * secondDir.x + firstDir.y * secondDir.y;
 
            if( cosAngle < kMinCosForTwoSegmentExtension )
                break;
 
            consumed += actualTdLen;
            // actualTdLen is the new distance from new start point and the teardrop anchor point
            actualTdLen = std::min( targetLength-consumed, int( connected_track->GetLength() ) );
            aTrack = connected_track;
            end = connected_track->GetEnd();
            start = connected_track->GetStart();
            need_swap = false;
 
            if( matchType != STARTPOINT )
            {
                std::swap( start, end );
                need_swap = true;
            }
 
            // If we do not want to explore more than one connected track, stop search here
            break;
        }
    }
 
    // if aTrack is an arc, find the best teardrop end point on the arc
    // It is currently on the segment from arc start point to arc end point,
    // therefore not really on the arc, because we have used only the track end points.
    if( aTrack->Type() == PCB_ARC_T )
    {
        // To find the best start and end points to build the teardrop shape, we convert
        // the arc to segments, and search for the segment having its start point at a dist
        // < actualTdLen, and its end point at adist > actualTdLen:
        SHAPE_ARC arc( aTrack->GetStart(), static_cast<PCB_ARC*>( aTrack )->GetMid(),
                       aTrack->GetEnd(), aTrack->GetWidth() );
 
        if( need_swap )
            arc.Reverse();
 
        SHAPE_LINE_CHAIN poly = arc.ConvertToPolyline( maxError );
 
        // Now, find the segment of the arc at a distance < actualTdLen from ref_lenght_point.
        // We just search for the first segment (starting from the farest segment) with its
        // start point at a distance < actualTdLen dist
        // This is basic, but it is probably enough.
        if( poly.PointCount() > 2 )
        {
            // Note: the first point is inside or near the pad/via shape
            // The last point is outside and the farest from the ref_lenght_point
            // So we explore segments from the last to the first
            for( int ii = poly.PointCount()-1; ii >= 0 ; ii-- )
            {
                int dist_from_start = ( poly.CPoint( ii ) - start ).EuclideanNorm();
 
                // The first segment at a distance of the reference point < actualTdLen is OK
                // and is suitable to define the reference segment of the teardrop anchor.
                if( dist_from_start < actualTdLen || ii == 0 )
                {
                    start = poly.CPoint( ii );
 
                    if( ii < poly.PointCount()-1 )
                        end = poly.CPoint( ii+1 );
 
                    // actualTdLen is the distance between start (the reference segment start point)
                    // and the point on track of the teardrop.
                    // This is the difference between the initial actualTdLen value and the
                    // distance between start and ref_lenght_point.
                    actualTdLen -= (start - ref_lenght_point).EuclideanNorm();
 
                    // Ensure validity of actualTdLen: >= 0, and <= segment lenght
                    if( actualTdLen < 0 )   // should not happen, but...
                        actualTdLen = 0;
 
                    actualTdLen = std::min( actualTdLen, (end - start).EuclideanNorm() );
 
                    break;
                }
            }
        }
    }
 
    // aStartPoint and aEndPoint will define later a segment to build the 2 anchors points
    // of the teardrop on the aTrack shape.
    // they are two points (both outside the pad/via shape) of aTrack if aTrack is a segment,
    // or a small segment on aTrack if aTrack is an ARC
    aStartPoint = start;
    aEndPoint = end;
 
    *aEffectiveTeardropLen = actualTdLen;
    return found;
}
 
 
bool TEARDROP_MANAGER::computeTeardropPolygon( const TEARDROP_PARAMETERS& aParams,
                                               std::vector<VECTOR2I>& aCorners, PCB_TRACK* aTrack,
                                               BOARD_ITEM* aOther, const VECTOR2I& aOtherPos ) const
{
    VECTOR2I start, end;    // Start and end points of the track anchor of the teardrop
                            // the start point is inside the teardrop shape
                            // the end point is outside.
    VECTOR2I intersection;  // Where the track centerline intersects the pad/via edge
    int track_stub_len;     // the dist between the start point and the anchor point
                            // on the track
 
    // Note: aTrack can be modified if the initial track is too short.
    // Save the original pointer so we can detect two-segment extension.
    PCB_TRACK* originalTrack = aTrack;
 
    if( !findAnchorPointsOnTrack( aParams, start, end, intersection, aTrack, aOther, aOtherPos,
                                  &track_stub_len ) )
    {
        return false;
    }
 
    // The start and end points must be different to calculate a valid polygon shape
    if( start == end )
        return false;
 
    VECTOR2D vecT = NormalizeVector(end - start);
 
    // When spanning two segments, findAnchorPointsOnTrack replaces aTrack with the
    // connected track. The start point becomes the junction between the two segments,
    // which differs from intersection (where the first segment meets the pad/via edge).
    // Use the first segment's direction for all via-side geometry so that the teardrop
    // shape is oriented correctly relative to how the track enters the pad/via.
    // Note: for arcs, start also moves away from intersection during arc refinement, but
    // aTrack remains the same pointer, so arc tracks are correctly excluded here.
    bool twoSegments = ( aTrack != originalTrack );
 
    // vecVia is the direction the track enters the pad/via, used for via-side geometry.
    // When the first segment is so short that the junction coincides with the pad edge
    // intersection, start == intersection produces a zero vector whose normalization is
    // NaN. Fall back to the second segment's direction in that case.
    VECTOR2D vecVia = vecT;
 
    if( twoSegments && start != intersection )
        vecVia = NormalizeVector( start - intersection );
 
    // find the 2 points on the track, sharp end of the teardrop
    int track_halfwidth = aTrack->GetWidth() / 2;
    VECTOR2I pointB = start + VECTOR2I( vecT.x * track_stub_len + vecT.y * track_halfwidth,
                                        vecT.y * track_stub_len - vecT.x * track_halfwidth );
    VECTOR2I pointA = start + VECTOR2I( vecT.x * track_stub_len - vecT.y * track_halfwidth,
                                        vecT.y * track_stub_len + vecT.x * track_halfwidth );
 
    PCB_LAYER_ID layer = aTrack->GetLayer();
 
    // To build a polygonal valid shape pointA and point B must be outside the pad
    // It can be inside with some pad shapes having very different X and X sizes
    if( !IsRound( aOther, layer ) )
    {
        PAD* pad = static_cast<PAD*>( aOther );
 
        if( pad->HitTest( pointA, 0, layer ) )
            return false;
 
        if( pad->HitTest( pointB, 0, layer ) )
            return false;
    }
 
    // Compute pointD, the "back" point of the teardrop behind the pad/via center.
    // For off-center track connections (where the track doesn't pass through the pad center),
    // we project the pad center onto the track axis so the teardrop is built symmetrically
    // about the track rather than being skewed toward the pad center.
    int padRadius = GetWidth( aOther, layer ) / 2;
    VECTOR2D intToPad = VECTOR2D( aOtherPos - intersection );
    double projOnTrack = -( intToPad.x * vecVia.x + intToPad.y * vecVia.y );
    double effectiveDist = std::max( projOnTrack, static_cast<double>( padRadius ) );
    int offset = pcbIUScale.mmToIU( 0.001 );
 
    // For non-round pads, clamp effectiveDist so pointD stays within the pad outline.
    // When a track enters an elongated pad at a steep angle, the projection along the
    // track axis can extend well beyond the narrow side of the pad.
    if( !IsRound( aOther, layer ) && aOther->Type() == PCB_PAD_T )
    {
        PAD* pad = static_cast<PAD*>( aOther );
        VECTOR2I candidateD = intersection
                              + VECTOR2I( KiROUND( -vecVia.x * ( effectiveDist + offset ) ),
                                          KiROUND( -vecVia.y * ( effectiveDist + offset ) ) );
 
        if( !pad->HitTest( candidateD, 0, layer ) )
        {
            int maxError = m_board->GetDesignSettings().m_MaxError;
            SHAPE_POLY_SET padPoly;
            pad->TransformShapeToPolygon( padPoly, layer, 0, maxError, ERROR_INSIDE );
 
            SHAPE_LINE_CHAIN& padOutline = padPoly.Outline( 0 );
            padOutline.SetClosed( true );
 
            // Shoot a ray from just inside the pad at the entry to beyond the candidate point
            VECTOR2I rayStart = intersection
                                + VECTOR2I( KiROUND( -vecVia.x * offset ),
                                            KiROUND( -vecVia.y * offset ) );
 
            SHAPE_LINE_CHAIN::INTERSECTIONS hits;
            padOutline.Intersect( SEG( rayStart, candidateD ), hits );
 
            if( !hits.empty() )
            {
                double maxExitDist = 0;
 
                for( const SHAPE_LINE_CHAIN::INTERSECTION& hit : hits )
                {
                    double d = ( hit.p - intersection ).EuclideanNorm();
 
                    if( d > maxExitDist )
                        maxExitDist = d;
                }
 
                effectiveDist = std::max( 0.0, maxExitDist - 2.0 * offset );
            }
        }
    }
    else
    {
        // For round pads/vias, clamp effectiveDist so pointD stays inside the pad circle.
        // The minimum-of-padRadius floor used for projOnTrack overshoots the pad when the
        // teardrop axis (vecVia) is not radial: e.g. a two-segment teardrop where the first
        // segment grazes the pad tangentially produces a projection close to zero, but the
        // floor still pushes pointD outward by padRadius along -vecVia, creating a spike.
        // Solve for the far intersection of the ray (intersection, -vecVia) with the pad
        // circle and use that as the upper bound.
        double R = static_cast<double>( padRadius );
        double cx = intToPad.x;  // (aOtherPos - intersection)
        double cy = intToPad.y;
        double distCenterSq = cx * cx + cy * cy;
 
        // Quadratic for ||intersection + (-vecVia)*t - aOtherPos||^2 = R^2
        // expands to t^2 - 2*projOnTrack*t + (distCenterSq - R^2) = 0.
        // The far root is projOnTrack + sqrt(projOnTrack^2 - (distCenterSq - R^2)).
        double disc = projOnTrack * projOnTrack - ( distCenterSq - R * R );
 
        if( disc >= 0 )
        {
            double farEdge = projOnTrack + std::sqrt( disc );
            double maxAllowed = std::max( 0.0, farEdge - 2.0 * offset );
 
            if( effectiveDist > maxAllowed )
                effectiveDist = maxAllowed;
        }
    }
 
    VECTOR2I pointD = intersection + VECTOR2I( KiROUND( -vecVia.x * ( effectiveDist + offset ) ),
                                               KiROUND( -vecVia.y * ( effectiveDist + offset ) ) );
 
    VECTOR2I pointC, pointE;     // Point on pad/via outlines
 
    // For two-segment teardrops, compute junction edge points where the track
    // changes direction, and use the first segment side of the junction for
    // the convex hull anchor so that C and E are oriented to the via entry axis.
    VECTOR2I junctionB_seg2, junctionB_seg1, junctionA_seg2, junctionA_seg1;
 
    if( twoSegments )
    {
        junctionB_seg2 = start + VECTOR2I( KiROUND( vecT.y * track_halfwidth ),
                                           KiROUND( -vecT.x * track_halfwidth ) );
        junctionA_seg2 = start + VECTOR2I( KiROUND( -vecT.y * track_halfwidth ),
                                           KiROUND( vecT.x * track_halfwidth ) );
        junctionB_seg1 = start + VECTOR2I( KiROUND( vecVia.y * track_halfwidth ),
                                           KiROUND( -vecVia.x * track_halfwidth ) );
        junctionA_seg1 = start + VECTOR2I( KiROUND( -vecVia.y * track_halfwidth ),
                                           KiROUND( vecVia.x * track_halfwidth ) );
    }
 
    // On the inside of a bend, the seg2 junction point backtracks relative to
    // seg1 and causes self-intersection. Detect with a dot product test and skip
    // the seg2 point on whichever side would backtrack.
    bool skipJunctionA = false;
    bool skipJunctionB = false;
 
    if( twoSegments )
    {
        VECTOR2D transA = VECTOR2D( junctionA_seg2 - junctionA_seg1 );
        VECTOR2D anchorDirA = VECTOR2D( pointA - junctionA_seg1 );
        skipJunctionA = ( transA.x * anchorDirA.x + transA.y * anchorDirA.y ) < 0;
 
        VECTOR2D transB = VECTOR2D( junctionB_seg2 - junctionB_seg1 );
        VECTOR2D anchorDirB = VECTOR2D( pointB - junctionB_seg1 );
        skipJunctionB = ( transB.x * anchorDirB.x + transB.y * anchorDirB.y ) < 0;
    }
 
    VECTOR2I anchorA = twoSegments ? junctionA_seg1 : pointA;
    VECTOR2I anchorB = twoSegments ? junctionB_seg1 : pointB;
 
    std::vector<VECTOR2I> pts = { anchorA, anchorB, pointC, pointD, pointE };
 
    computeAnchorPoints( aParams, aTrack->GetLayer(), aOther, aOtherPos, pts );
 
    // For off-center track connections, the convex hull produces asymmetric anchor points
    // (C and E at different distances from the track axis). Recompute them to be symmetric
    // so the teardrop flares out evenly from the track on both sides.
    if( IsRound( aOther, layer ) )
    {
        VECTOR2D perpVia( -vecVia.y, vecVia.x );
 
        // Perpendicular distance from pad center to the track axis
        VECTOR2D padOffset = VECTOR2D( aOtherPos - intersection );
        double perpDistToCenter = padOffset.x * perpVia.x + padOffset.y * perpVia.y;
 
        // Only apply the symmetric adjustment when the track is significantly off-center.
        if( std::abs( perpDistToCenter ) > padRadius * 0.1 )
        {
            double d = std::abs( perpDistToCenter );
 
            if( d < padRadius )
            {
                // The maximum symmetric half-width is limited by the shorter side, which is
                // the distance from the track axis to the nearest circle edge (R - d).
                double maxSymmetric = static_cast<double>( padRadius ) - d;
 
                // Apply the configured width ratio and max width constraints
                int preferred_width = KiROUND( GetWidth( aOther, layer ) * aParams.m_BestWidthRatio );
                int maxHalfWidth = preferred_width / 2;
 
                if( aParams.m_TdMaxWidth > 0 )
                    maxHalfWidth = std::min( maxHalfWidth, aParams.m_TdMaxWidth / 2 );
 
                double symHalfWidth = std::min( maxSymmetric,
                                                static_cast<double>( maxHalfWidth ) );
 
                if( symHalfWidth > track_halfwidth )
                {
                    VECTOR2D center = VECTOR2D( aOtherPos );
                    double R = static_cast<double>( padRadius );
 
                    // Find C on the circle at perpendicular distance +symHalfWidth from track.
                    // Line: p = (perpFoot + perpVia*symHalfWidth) + t * vecVia
                    // Intersect with circle (center, R) and pick the point closest to
                    // the intersection point (track entry side).
                    auto findCircleLineIntersection =
                        [&]( double perpDist ) -> VECTOR2I
                        {
                            double projAlongTrack = padOffset.x * vecVia.x
                                                  + padOffset.y * vecVia.y;
                            VECTOR2D lineOrigin = VECTOR2D( intersection )
                                                + vecVia * projAlongTrack
                                                + perpVia * perpDist;
 
                            VECTOR2D oc = lineOrigin - center;
                            double b_coeff = oc.x * vecVia.x + oc.y * vecVia.y;
                            double c_coeff = oc.x * oc.x + oc.y * oc.y - R * R;
                            double disc = b_coeff * b_coeff - c_coeff;
 
                            if( disc < 0 )
                                return VECTOR2I( KiROUND( lineOrigin.x ),
                                                 KiROUND( lineOrigin.y ) );
 
                            double sqrtDisc = std::sqrt( disc );
                            double t1 = -b_coeff - sqrtDisc;
                            double t2 = -b_coeff + sqrtDisc;
 
                            // Pick the point on the intersection side (closer to the track entry)
                            VECTOR2D p1 = lineOrigin + vecVia * t1;
                            VECTOR2D p2 = lineOrigin + vecVia * t2;
                            VECTOR2D intPt = VECTOR2D( intersection );
 
                            if( ( p1 - intPt ).EuclideanNorm()
                                < ( p2 - intPt ).EuclideanNorm() )
                            {
                                return VECTOR2I( KiROUND( p1.x ), KiROUND( p1.y ) );
                            }
 
                            return VECTOR2I( KiROUND( p2.x ), KiROUND( p2.y ) );
                        };
 
                    // pointA is offset in +perpVia from the track axis, pointB in -perpVia
                    // (see the VECTOR2I pointA/pointB construction above). pts[2] is C,
                    // which lies adjacent to pointB in the teardrop walk A->B->C->D->E->A,
                    // so it must sit on pointB's (-perpVia) side. Likewise pts[4] is E,
                    // adjacent to pointA on the +perpVia side. Assigning the opposite signs
                    // folds the polygon into a bowtie and produces self-intersecting edges
                    // whenever the track is off-center enough to trigger this branch.
                    pts[2] = findCircleLineIntersection( -symHalfWidth );
                    pts[4] = findCircleLineIntersection( symHalfWidth );
                }
            }
        }
    }
 
    if( !aParams.m_CurvedEdges )
    {
        if( twoSegments )
        {
            aCorners.push_back( pointA );
            aCorners.push_back( pointB );
 
            if( !skipJunctionB )
                aCorners.push_back( junctionB_seg2 );
 
            aCorners.push_back( pts[1] );  // junctionB_seg1
            aCorners.push_back( pts[2] );  // C
            aCorners.push_back( pts[3] );  // D
            aCorners.push_back( pts[4] );  // E
            aCorners.push_back( pts[0] );  // junctionA_seg1
 
            if( !skipJunctionA )
                aCorners.push_back( junctionA_seg2 );
        }
        else
        {
            aCorners = std::move( pts );
        }
 
        return true;
    }
 
    // See if we can use curved teardrop shape
    if( IsRound( aOther, layer ) )
    {
        if( twoSegments )
        {
            std::vector<VECTOR2I> curvePoly;
            computeCurvedForRoundShape( aParams, curvePoly, layer, track_halfwidth,
                                        vecVia, aOther, aOtherPos, pts );
 
            aCorners.push_back( pointB );
 
            if( !skipJunctionB )
                aCorners.push_back( junctionB_seg2 );
 
            for( const VECTOR2I& pt : curvePoly )
                aCorners.push_back( pt );
 
            if( !skipJunctionA )
                aCorners.push_back( junctionA_seg2 );
 
            aCorners.push_back( pointA );
        }
        else
        {
            computeCurvedForRoundShape( aParams, aCorners, layer, track_halfwidth,
                                        vecT, aOther, aOtherPos, pts );
        }
    }
    else
    {
        int td_width = KiROUND( GetWidth( aOther, layer ) * aParams.m_BestWidthRatio );
 
        if( aParams.m_TdMaxWidth > 0 && aParams.m_TdMaxWidth < td_width )
            td_width = aParams.m_TdMaxWidth;
 
        if( twoSegments )
        {
            std::vector<VECTOR2I> curvePoly;
            computeCurvedForRectShape( aParams, curvePoly, td_width, track_halfwidth, pts,
                                       intersection, aOther, aOtherPos, layer );
 
            aCorners.push_back( pointB );
 
            if( !skipJunctionB )
                aCorners.push_back( junctionB_seg2 );
 
            for( const VECTOR2I& pt : curvePoly )
                aCorners.push_back( pt );
 
            if( !skipJunctionA )
                aCorners.push_back( junctionA_seg2 );
 
            aCorners.push_back( pointA );
        }
        else
        {
            computeCurvedForRectShape( aParams, aCorners, td_width, track_halfwidth, pts,
                                       intersection, aOther, aOtherPos, layer );
        }
    }
 
    return true;
}