Made curve tesselation be dynamically adjusted based on transform.

This lets us avoid having to use a very low curve threshold value for
all scales, and thus avoids the performance regression from change
c41dbbb5e6495e26cd32.

Task-number: QTBUG-9218
Reviewed-by: Gunnar Sletta

8 files changed, 50 insertions, 245 deletions

diff --git a/src/gui/painting/qbezier.cpp b/src/gui/painting/qbezier.cpp
index 7ff2a37..2a9b31a 100644
--- a/src/gui/painting/qbezier.cpp
+++ b/src/gui/painting/qbezier.cpp
@@ -93,7 +93,7 @@ QBezier QBezier::fromPoints(const QPointF &p1, const QPointF &p2,
 /*!
   \internal
 */
-QPolygonF QBezier::toPolygon() const
+QPolygonF QBezier::toPolygon(qreal bezier_flattening_threshold) const
 {
     // flattening is done by splitting the bezier until we can replace the segment by a straight
     // line. We split further until the control points are close enough to the line connecting the
@@ -108,7 +108,7 @@ QPolygonF QBezier::toPolygon() const
 
     QPolygonF polygon;
     polygon.append(QPointF(x1, y1));
-    addToPolygon(&polygon);
+    addToPolygon(&polygon, bezier_flattening_threshold);
     return polygon;
 }
 
@@ -117,34 +117,6 @@ QBezier QBezier::mapBy(const QTransform &transform) const
     return QBezier::fromPoints(transform.map(pt1()), transform.map(pt2()), transform.map(pt3()), transform.map(pt4()));
 }
 
-//0.05 is really low, but required for scaled-up beziers...
-static const qreal flatness = 0.05;
-
-//based on "Fast, precise flattening of cubic Bezier path and offset curves"
-//      by T. F. Hain, A. L. Ahmad, S. V. R. Racherla and D. D. Langan
-static inline void flattenBezierWithoutInflections(QBezier &bez,
-                                                   QPolygonF *&p)
-{
-    QBezier left;
-
-    while (1) {
-        qreal dx = bez.x2 - bez.x1;
-        qreal dy = bez.y2 - bez.y1;
-
-        qreal normalized = qSqrt(dx * dx + dy * dy);
-        if (qFuzzyIsNull(normalized))
-           break;
-
-        qreal d = qAbs(dx * (bez.y3 - bez.y2) - dy * (bez.x3 - bez.x2));
-
-        qreal t = qSqrt(4. / 3. * normalized * flatness / d);
-        if (t > 1 || qFuzzyIsNull(t - (qreal)1.))
-            break;
-        bez.parameterSplitLeft(t, &left);
-        p->append(bez.pt1());
-    }
-}
-
 QBezier QBezier::getSubRange(qreal t0, qreal t1) const
 {
     QBezier result;
@@ -223,7 +195,7 @@ static inline bool findInflections(qreal a, qreal b, qreal c,
 }
 
 
-void QBezier::addToPolygon(QPolygonF *polygon) const
+void QBezier::addToPolygon(QPolygonF *polygon, qreal bezier_flattening_threshold) const
 {
     QBezier beziers[32];
     beziers[0] = *this;
@@ -243,7 +215,7 @@ void QBezier::addToPolygon(QPolygonF *polygon) const
                 qAbs(b->x1 - b->x3) + qAbs(b->y1 - b->y3);
             l = 1.;
         }
-        if (d < flatness*l || b == beziers + 31) {
+        if (d < bezier_flattening_threshold*l || b == beziers + 31) {
             // good enough, we pop it off and add the endpoint
             polygon->append(QPointF(b->x4, b->y4));
             --b;
@@ -255,55 +227,6 @@ void QBezier::addToPolygon(QPolygonF *polygon) const
     }
 }
 
-void QBezier::addToPolygonMixed(QPolygonF *polygon) const
-{
-    qreal ax = -x1 + 3*x2 - 3*x3 + x4;
-    qreal ay = -y1 + 3*y2 - 3*y3 + y4;
-    qreal bx = 3*x1 - 6*x2 + 3*x3;
-    qreal by = 3*y1 - 6*y2 + 3*y3;
-    qreal cx = -3*x1 + 3*x2;
-    qreal cy = -3*y1 + 2*y2;
-    qreal a = 6 * (ay * bx - ax * by);
-    qreal b = 6 * (ay * cx - ax * cy);
-    qreal c = 2 * (by * cx - bx * cy);
-
-    if ((qFuzzyIsNull(a) && qFuzzyIsNull(b)) ||
-        (b * b - 4 * a *c) < 0) {
-        QBezier bez(*this);
-        flattenBezierWithoutInflections(bez, polygon);
-        polygon->append(QPointF(x4, y4));
-    } else {
-        QBezier beziers[32];
-        beziers[0] = *this;
-        QBezier *b = beziers;
-
-        while (b >= beziers) {
-            // check if we can pop the top bezier curve from the stack
-            qreal y4y1 = b->y4 - b->y1;
-            qreal x4x1 = b->x4 - b->x1;
-            qreal l = qAbs(x4x1) + qAbs(y4y1);
-            qreal d;
-            if (l > 1.) {
-                d = qAbs( (x4x1)*(b->y1 - b->y2) - (y4y1)*(b->x1 - b->x2) )
-                    + qAbs( (x4x1)*(b->y1 - b->y3) - (y4y1)*(b->x1 - b->x3) );
-            } else {
-                d = qAbs(b->x1 - b->x2) + qAbs(b->y1 - b->y2) +
-                    qAbs(b->x1 - b->x3) + qAbs(b->y1 - b->y3);
-                l = 1.;
-            }
-            if (d < .5*l || b == beziers + 31) {
-                // good enough, we pop it off and add the endpoint
-                polygon->append(QPointF(b->x4, b->y4));
-                --b;
-            } else {
-                // split, second half of the polygon goes lower into the stack
-                b->split(b+1, b);
-                ++b;
-            }
-        }
-    }
-}
-
 QRectF QBezier::bounds() const
 {
     qreal xmin = x1;
@@ -824,147 +747,4 @@ QBezier QBezier::bezierOnInterval(qreal t0, qreal t1) const
     return result;
 }
 
-
-static inline void bindInflectionPoint(const QBezier &bez, const qreal t,
-                                       qreal *tMinus , qreal *tPlus)
-{
-    if (t <= 0) {
-        *tMinus = *tPlus = -1;
-        return;
-    } else if (t >= 1) {
-        *tMinus = *tPlus = 2;
-        return;
-    }
-
-    QBezier left, right;
-    splitBezierAt(bez, t, &left, &right);
-
-    qreal ax = -right.x1 + 3*right.x2 - 3*right.x3 + right.x4;
-    qreal ay = -right.y1 + 3*right.y2 - 3*right.y3 + right.y4;
-    qreal ex = 3 * (right.x2 - right.x3);
-    qreal ey = 3 * (right.y2 - right.y3);
-
-    qreal s4 = qAbs(6 * (ey * ax - ex * ay) / qSqrt(ex * ex + ey * ey)) + 0.00001f;
-    qreal tf = qPow(qreal(9 * flatness / s4), qreal(1./3.));
-    *tMinus = t - (1 - t) * tf;
-    *tPlus  = t + (1 - t) * tf;
-}
-
-void QBezier::addToPolygonIterative(QPolygonF *p) const
-{
-    qreal t1, t2, tcusp;
-    qreal t1min, t1plus, t2min, t2plus;
-
-    qreal ax = -x1 + 3*x2 - 3*x3 + x4;
-    qreal ay = -y1 + 3*y2 - 3*y3 + y4;
-    qreal bx = 3*x1 - 6*x2 + 3*x3;
-    qreal by = 3*y1 - 6*y2 + 3*y3;
-    qreal cx = -3*x1 + 3*x2;
-    qreal cy = -3*y1 + 2*y2;
-
-    if (findInflections(6 * (ay * bx - ax * by),
-                        6 * (ay * cx - ax * cy),
-                        2 * (by * cx - bx * cy),
-                        &t1, &t2, &tcusp)) {
-        bindInflectionPoint(*this, t1, &t1min, &t1plus);
-        bindInflectionPoint(*this, t2, &t2min, &t2plus);
-
-        QBezier tmpBez = *this;
-        QBezier left, right, bez1, bez2, bez3;
-	if (t1min > 0) {
-            if (t1min >= 1) {
-                flattenBezierWithoutInflections(tmpBez, p);
-            } else {
-                splitBezierAt(tmpBez, t1min, &left, &right);
-                flattenBezierWithoutInflections(left, p);
-                p->append(tmpBez.pointAt(t1min));
-
-                if (t2min < t1plus) {
-                    if (tcusp < 1) {
-                        p->append(tmpBez.pointAt(tcusp));
-                    }
-                    if (t2plus < 1) {
-                        splitBezierAt(tmpBez, t2plus, &left, &right);
-                        flattenBezierWithoutInflections(right, p);
-                    }
-                } else if (t1plus < 1) {
-                    if (t2min < 1) {
-                        splitBezierAt(tmpBez, t2min, &bez3, &right);
-                        splitBezierAt(bez3, t1plus, &left, &bez2);
-
-                        flattenBezierWithoutInflections(bez2, p);
-                        p->append(tmpBez.pointAt(t2min));
-
-                        if (t2plus < 1) {
-                            splitBezierAt(tmpBez, t2plus, &left, &bez2);
-                            flattenBezierWithoutInflections(bez2, p);
-                        }
-                    } else {
-                        splitBezierAt(tmpBez, t1plus, &left, &bez2);
-                        flattenBezierWithoutInflections(bez2, p);
-                    }
-                }
-            }
-	} else if (t1plus > 0) {
-            p->append(QPointF(x1, y1));
-            if (t2min < t1plus)	{
-                if (tcusp < 1) {
-                    p->append(tmpBez.pointAt(tcusp));
-                }
-                if (t2plus < 1) {
-                    splitBezierAt(tmpBez, t2plus, &left, &bez2);
-                    flattenBezierWithoutInflections(bez2, p);
-                }
-            } else if (t1plus < 1) {
-                if (t2min < 1) {
-                    splitBezierAt(tmpBez, t2min, &bez3, &right);
-                    splitBezierAt(bez3, t1plus, &left, &bez2);
-
-                    flattenBezierWithoutInflections(bez2, p);
-
-                    p->append(tmpBez.pointAt(t2min));
-                    if (t2plus < 1) {
-                        splitBezierAt(tmpBez, t2plus, &left, &bez2);
-                        flattenBezierWithoutInflections(bez2, p);
-                    }
-                } else {
-                    splitBezierAt(tmpBez, t1plus, &left, &bez2);
-                    flattenBezierWithoutInflections(bez2, p);
-                }
-            }
-        } else if (t2min > 0) {
-            if (t2min < 1) {
-                splitBezierAt(tmpBez, t2min, &bez1, &right);
-                flattenBezierWithoutInflections(bez1, p);
-                p->append(tmpBez.pointAt(t2min));
-
-                if (t2plus < 1) {
-                    splitBezierAt(tmpBez, t2plus, &left, &bez2);
-                    flattenBezierWithoutInflections(bez2, p);
-                }
-            } else {
-                //### in here we should check whether the area of the
-                //    triangle formed between pt1/pt2/pt3 is smaller
-                //    or equal to 0 and then do iterative flattening
-                //    if not we should fallback and do the recursive
-                //    flattening.
-                flattenBezierWithoutInflections(tmpBez, p);
-            }
-        } else if (t2plus > 0) {
-            p->append(QPointF(x1, y1));
-            if (t2plus < 1) {
-                splitBezierAt(tmpBez, t2plus, &left, &bez2);
-                flattenBezierWithoutInflections(bez2, p);
-            }
-        } else {
-            flattenBezierWithoutInflections(tmpBez, p);
-        }
-    } else {
-        QBezier bez = *this;
-        flattenBezierWithoutInflections(bez, p);
-    }
-
-    p->append(QPointF(x4, y4));
-}
-
 QT_END_NAMESPACE
diff --git a/src/gui/painting/qbezier_p.h b/src/gui/painting/qbezier_p.h
index 846635f..18ec116 100644
--- a/src/gui/painting/qbezier_p.h
+++ b/src/gui/painting/qbezier_p.h
@@ -79,10 +79,9 @@ public:
     inline QPointF derivedAt(qreal t) const;
     inline QPointF secondDerivedAt(qreal t) const;
 
-    QPolygonF toPolygon() const;
-    void addToPolygon(QPolygonF *p) const;
-    void addToPolygonIterative(QPolygonF *p) const;
-    void addToPolygonMixed(QPolygonF *p) const;
+    QPolygonF toPolygon(qreal bezier_flattening_threshold = 0.5) const;
+    void addToPolygon(QPolygonF *p, qreal bezier_flattening_threshold = 0.5) const;
+
     QRectF bounds() const;
     qreal length(qreal error = 0.01) const;
     void addIfClose(qreal *length, qreal error) const;
diff --git a/src/gui/painting/qpaintengineex.cpp b/src/gui/painting/qpaintengineex.cpp
index fda937e..ff82d59 100644
--- a/src/gui/painting/qpaintengineex.cpp
+++ b/src/gui/painting/qpaintengineex.cpp
@@ -461,6 +461,7 @@ void QPaintEngineEx::stroke(const QVectorPath &path, const QPen &pen)
         // change the current transform. Normal transformed,
         // non-cosmetic pens will be transformed as part of fill
         // later, so they are also covered here..
+        d->activeStroker->setCurveThresholdFromTransform(state()->matrix);
         d->activeStroker->begin(d->strokeHandler);
         if (types) {
             while (points < lastPoint) {
@@ -518,6 +519,7 @@ void QPaintEngineEx::stroke(const QVectorPath &path, const QPen &pen)
             QPainterPath painterPath = state()->matrix.map(path.convertToPainterPath());
             d->activeStroker->strokePath(painterPath, d->strokeHandler, QTransform());
         } else {
+            d->activeStroker->setCurveThresholdFromTransform(state()->matrix);
             d->activeStroker->begin(d->strokeHandler);
             if (types) {
                 while (points < lastPoint) {
diff --git a/src/gui/painting/qstroker.cpp b/src/gui/painting/qstroker.cpp
index 9b8e099..eabbd8a 100644
--- a/src/gui/painting/qstroker.cpp
+++ b/src/gui/painting/qstroker.cpp
@@ -120,8 +120,8 @@ private:
 class QSubpathFlatIterator
 {
 public:
-    QSubpathFlatIterator(const QDataBuffer<QStrokerOps::Element> *path)
-        : m_path(path), m_pos(0), m_curve_index(-1) { }
+    QSubpathFlatIterator(const QDataBuffer<QStrokerOps::Element> *path, qreal threshold)
+        : m_path(path), m_pos(0), m_curve_index(-1), m_curve_threshold(threshold) { }
 
     inline bool hasNext() const { return m_curve_index >= 0 || m_pos < m_path->size(); }
 
@@ -152,7 +152,7 @@ public:
                                           QPointF(qt_fixed_to_real(m_path->at(m_pos+1).x),
                                                   qt_fixed_to_real(m_path->at(m_pos+1).y)),
                                           QPointF(qt_fixed_to_real(m_path->at(m_pos+2).x),
-                                                  qt_fixed_to_real(m_path->at(m_pos+2).y))).toPolygon();
+                                                  qt_fixed_to_real(m_path->at(m_pos+2).y))).toPolygon(m_curve_threshold);
             m_curve_index = 1;
             e.type = QPainterPath::LineToElement;
             e.x = m_curve.at(0).x();
@@ -169,6 +169,7 @@ private:
     int m_pos;
     QPolygonF m_curve;
     int m_curve_index;
+    qreal m_curve_threshold;
 };
 
 template <class Iterator> bool qt_stroke_side(Iterator *it, QStroker *stroker,
@@ -187,7 +188,12 @@ static inline qreal adapted_angle_on_x(const QLineF &line)
 }
 
 QStrokerOps::QStrokerOps()
-    : m_elements(0), m_customData(0), m_moveTo(0), m_lineTo(0), m_cubicTo(0)
+    : m_elements(0)
+    , m_curveThreshold(qt_real_to_fixed(0.25))
+    , m_customData(0)
+    , m_moveTo(0)
+    , m_lineTo(0)
+    , m_cubicTo(0)
 {
 }
 
@@ -195,7 +201,6 @@ QStrokerOps::~QStrokerOps()
 {
 }
 
-
 /*!
     Prepares the stroker. Call this function once before starting a
     stroke by calling moveTo, lineTo or cubicTo.
@@ -238,6 +243,7 @@ void QStrokerOps::strokePath(const QPainterPath &path, void *customData, const Q
     if (path.isEmpty())
         return;
 
+    setCurveThresholdFromTransform(matrix);
     begin(customData);
     int count = path.elementCount();
     if (matrix.isIdentity()) {
@@ -308,6 +314,8 @@ void QStrokerOps::strokePolygon(const QPointF *points, int pointCount, bool impl
 {
     if (!pointCount)
         return;
+
+    setCurveThresholdFromTransform(matrix);
     begin(data);
     if (matrix.isIdentity()) {
         moveTo(qt_real_to_fixed(points[0].x()), qt_real_to_fixed(points[0].y()));
@@ -348,6 +356,7 @@ void QStrokerOps::strokeEllipse(const QRectF &rect, void *data, const QTransform
         }
     }
 
+    setCurveThresholdFromTransform(matrix);
     begin(data);
     moveTo(qt_real_to_fixed(start.x()), qt_real_to_fixed(start.y()));
     for (int i=0; i<12; i+=3) {
@@ -366,12 +375,10 @@ QStroker::QStroker()
 {
     m_strokeWidth = qt_real_to_fixed(1);
     m_miterLimit = qt_real_to_fixed(2);
-    m_curveThreshold = qt_real_to_fixed(0.25);
 }
 
 QStroker::~QStroker()
 {
-
 }
 
 Qt::PenCapStyle QStroker::capForJoinMode(LineJoinMode mode)
@@ -1135,7 +1142,7 @@ void QDashStroker::processCurrentSubpath()
 
     QPainterPath dashPath;
 
-    QSubpathFlatIterator it(&m_elements);
+    QSubpathFlatIterator it(&m_elements, m_curveThreshold);
     qfixed2d prev = it.next();
 
     bool clipping = !m_clip_rect.isEmpty();
diff --git a/src/gui/painting/qstroker_p.h b/src/gui/painting/qstroker_p.h
index 3e622a8..0f133ef 100644
--- a/src/gui/painting/qstroker_p.h
+++ b/src/gui/painting/qstroker_p.h
@@ -124,6 +124,9 @@ typedef void (*qStrokerCubicToHook)(qfixed c1x, qfixed c1y,
                                     qfixed ex, qfixed ey,
                                     void *data);
 
+// qtransform.cpp
+extern bool qt_scaleForTransform(const QTransform &transform, qreal *scale);
+
 class Q_GUI_EXPORT QStrokerOps
 {
 public:
@@ -161,6 +164,16 @@ public:
     QRectF clipRect() const { return m_clip_rect; }
     void setClipRect(const QRectF &clip) { m_clip_rect = clip; }
 
+    void setCurveThresholdFromTransform(const QTransform &transform)
+    {
+        qreal scale;
+        qt_scaleForTransform(transform, &scale);
+        setCurveThreshold(scale == 0 ? qreal(0.5) : (qreal(0.5) / scale));
+    }
+
+    void setCurveThreshold(qfixed threshold) { m_curveThreshold = threshold; }
+    qfixed curveThreshold() const { return m_curveThreshold; }
+
 protected:
     inline void emitMoveTo(qfixed x, qfixed y);
     inline void emitLineTo(qfixed x, qfixed y);
@@ -170,6 +183,7 @@ protected:
     QDataBuffer<Element> m_elements;
 
     QRectF m_clip_rect;
+    qfixed m_curveThreshold;
 
     void *m_customData;
     qStrokerMoveToHook m_moveTo;
@@ -208,9 +222,6 @@ public:
     void setMiterLimit(qfixed length) { m_miterLimit = length; }
     qfixed miterLimit() const { return m_miterLimit; }
 
-    void setCurveThreshold(qfixed threshold) { m_curveThreshold = threshold; }
-    qfixed curveThreshold() const { return m_curveThreshold; }
-
     void joinPoints(qfixed x, qfixed y, const QLineF &nextLine, LineJoinMode join);
     inline void emitMoveTo(qfixed x, qfixed y);
     inline void emitLineTo(qfixed x, qfixed y);
@@ -227,7 +238,6 @@ protected:
 
     qfixed m_strokeWidth;
     qfixed m_miterLimit;
-    qfixed m_curveThreshold;
 
     LineJoinMode m_capStyle;
     LineJoinMode m_joinStyle;
diff --git a/src/gui/painting/qtransform.cpp b/src/gui/painting/qtransform.cpp
index 80b7520..c72a08e 100644
--- a/src/gui/painting/qtransform.cpp
+++ b/src/gui/painting/qtransform.cpp
@@ -1545,12 +1545,19 @@ static inline bool lineTo_clipped(QPainterPath &path, const QTransform &transfor
 
     return true;
 }
+bool qt_scaleForTransform(const QTransform &transform, qreal *scale);
 
 static inline bool cubicTo_clipped(QPainterPath &path, const QTransform &transform, const QPointF &a, const QPointF &b, const QPointF &c, const QPointF &d, bool needsMoveTo)
 {
     // Convert projective xformed curves to line
     // segments so they can be transformed more accurately
-    QPolygonF segment = QBezier::fromPoints(a, b, c, d).toPolygon();
+
+    qreal scale;
+    qt_scaleForTransform(transform, &scale);
+
+    qreal curveThreshold = scale == 0 ? qreal(0.25) : (qreal(0.25) / scale);
+
+    QPolygonF segment = QBezier::fromPoints(a, b, c, d).toPolygon(curveThreshold);
 
     for (int i = 0; i < segment.size() - 1; ++i)
         if (lineTo_clipped(path, transform, segment.at(i), segment.at(i+1), needsMoveTo))
diff --git a/src/s60installs/bwins/QtGuiu.def b/src/s60installs/bwins/QtGuiu.def
index c3a3a08..8957c34 100644
--- a/src/s60installs/bwins/QtGuiu.def
+++ b/src/s60installs/bwins/QtGuiu.def
@@ -2126,8 +2126,8 @@ EXPORTS
 	?addToGroup@QGraphicsItemGroup@@QAEXPAVQGraphicsItem@@@Z @ 2125 NONAME ; void QGraphicsItemGroup::addToGroup(class QGraphicsItem *)
 	?addToIndex@QGraphicsItem@@IAEXXZ @ 2126 NONAME ; void QGraphicsItem::addToIndex(void)
 	?addToPolygon@QBezier@@QBEXPAVQPolygonF@@@Z @ 2127 NONAME ; void QBezier::addToPolygon(class QPolygonF *) const
-	?addToPolygonIterative@QBezier@@QBEXPAVQPolygonF@@@Z @ 2128 NONAME ; void QBezier::addToPolygonIterative(class QPolygonF *) const
-	?addToPolygonMixed@QBezier@@QBEXPAVQPolygonF@@@Z @ 2129 NONAME ; void QBezier::addToPolygonMixed(class QPolygonF *) const
+	?addToPolygonIterative@QBezier@@QBEXPAVQPolygonF@@@Z @ 2128 NONAME ABSENT ; void QBezier::addToPolygonIterative(class QPolygonF *) const
+	?addToPolygonMixed@QBezier@@QBEXPAVQPolygonF@@@Z @ 2129 NONAME ABSENT ; void QBezier::addToPolygonMixed(class QPolygonF *) const
 	?addToolBar@QMainWindow@@QAEPAVQToolBar@@ABVQString@@@Z @ 2130 NONAME ; class QToolBar * QMainWindow::addToolBar(class QString const &)
 	?addToolBar@QMainWindow@@QAEXPAVQToolBar@@@Z @ 2131 NONAME ; void QMainWindow::addToolBar(class QToolBar *)
 	?addToolBar@QMainWindow@@QAEXW4ToolBarArea@Qt@@PAVQToolBar@@@Z @ 2132 NONAME ; void QMainWindow::addToolBar(enum Qt::ToolBarArea, class QToolBar *)
diff --git a/src/s60installs/eabi/QtGuiu.def b/src/s60installs/eabi/QtGuiu.def
index b1166c5..d127b41 100644
--- a/src/s60installs/eabi/QtGuiu.def
+++ b/src/s60installs/eabi/QtGuiu.def
@@ -9901,9 +9901,9 @@ EXPORTS
 	_ZNK7QBezier10addIfCloseEPff @ 9900 NONAME
 	_ZNK7QBezier12addToPolygonEP9QPolygonF @ 9901 NONAME
 	_ZNK7QBezier16bezierOnIntervalEff @ 9902 NONAME
-	_ZNK7QBezier17addToPolygonMixedEP9QPolygonF @ 9903 NONAME
+	_ZNK7QBezier17addToPolygonMixedEP9QPolygonF @ 9903 NONAME ABSENT
 	_ZNK7QBezier17stationaryYPointsERfS0_ @ 9904 NONAME
-	_ZNK7QBezier21addToPolygonIterativeEP9QPolygonF @ 9905 NONAME
+	_ZNK7QBezier21addToPolygonIterativeEP9QPolygonF @ 9905 NONAME ABSENT
 	_ZNK7QBezier5tForYEfff @ 9906 NONAME
 	_ZNK7QBezier6boundsEv @ 9907 NONAME
 	_ZNK7QBezier6lengthEf @ 9908 NONAME