void QgsMarkerLineSymbolLayerV2::renderPolylineCentral( const QPolygonF& points, QgsSymbolV2RenderContext& context )
{
if ( points.size() > 0 )
{
// calc length
qreal length = 0;
QPolygonF::const_iterator it = points.constBegin();
QPointF last = *it;
for ( ++it; it != points.constEnd(); ++it )
{
length += sqrt(( last.x() - it->x() ) * ( last.x() - it->x() ) +
( last.y() - it->y() ) * ( last.y() - it->y() ) );
last = *it;
}
// find the segment where the central point lies
it = points.constBegin();
last = *it;
qreal last_at = 0, next_at = 0;
QPointF next;
int segment = 0;
for ( ++it; it != points.constEnd(); ++it )
{
next = *it;
next_at += sqrt(( last.x() - it->x() ) * ( last.x() - it->x() ) +
( last.y() - it->y() ) * ( last.y() - it->y() ) );
if ( next_at >= length / 2 )
break; // we have reached the center
last = *it;
last_at = next_at;
segment++;
}
// find out the central point on segment
MyLine l( last, next ); // for line angle
qreal k = ( length * 0.5 - last_at ) / ( next_at - last_at );
QPointF pt = last + ( next - last ) * k;
// draw the marker
double origAngle = mMarker->angle();
if ( mRotateMarker )
mMarker->setAngle( origAngle + l.angle() * 180 / M_PI );
mMarker->renderPoint( pt, context.feature(), context.renderContext(), -1, context.selected() );
if ( mRotateMarker )
mMarker->setAngle( origAngle );
}
}
void QgsCoordinateTransform::transformPolygon( QPolygonF &poly, TransformDirection direction ) const
{
if ( !d->mIsValid || d->mShortCircuit )
{
return;
}
//create x, y arrays
int nVertices = poly.size();
QVector<double> x( nVertices );
QVector<double> y( nVertices );
QVector<double> z( nVertices );
double *destX = x.data();
double *destY = y.data();
double *destZ = z.data();
const QPointF *polyData = poly.constData();
for ( int i = 0; i < nVertices; ++i )
{
*destX++ = polyData->x();
*destY++ = polyData->y();
*destZ++ = 0;
polyData++;
}
try
{
transformCoords( nVertices, x.data(), y.data(), z.data(), direction );
}
catch ( const QgsCsException & )
{
// rethrow the exception
QgsDebugMsg( QStringLiteral( "rethrowing exception" ) );
throw;
}
QPointF *destPoint = poly.data();
const double *srcX = x.constData();
const double *srcY = y.constData();
for ( int i = 0; i < nVertices; ++i )
{
destPoint->rx() = *srcX++;
destPoint->ry() = *srcY++;
destPoint++;
}
}
/**********************************************************************
* Function: get handle point
* Parameters: handle id, bound rect
* Return: none
**********************************************************************/
QPointF QArcItem::getHandle(int iHandle, QRectF &qrcBondingRect) const
{
QPointF qpPoint;
if (iHandle > 8)
{
QList<QPolygonF> polygonfs = m_ArcPath.toSubpathPolygons();
int iSize = polygonfs.size();
if (iSize <= 0 || iSize > 1)
{
return qpPoint;
}
QPolygonF polygonf = polygonfs.at(0);
int j = polygonf.size();
if (j <= 1)
{
return qpPoint;;
}
/*Get the key points*/
QPointF qpDimCenter;
qpDimCenter = polygonf.at(0);
switch (iHandle)
{
case 9:
qpPoint = polygonf.at(1);
qpPoint.rx() = (qpPoint.x() + qpDimCenter.x()) / 2;
qpPoint.ry() = (qpPoint.y() + qpDimCenter.y()) / 2;
break;
case 10:
qpPoint = polygonf.at(j - 1);
qpPoint.rx() = (qpPoint.x() + qpDimCenter.x()) / 2;
qpPoint.ry() = (qpPoint.y() + qpDimCenter.y()) / 2;
break;
default:
break;
}
qpPoint = this->mapToScene(qpPoint);
qpPoint.rx() = qpPoint.x();
return qpPoint;
}
else
{
return SamDrawItemBase::getHandle(iHandle, qrcBondingRect);
}
}
void QgsSimpleLineSymbolLayerV2::renderPolyline( const QPolygonF& points, QgsSymbolV2RenderContext& context )
{
QPainter* p = context.renderContext().painter();
if ( !p )
{
return;
}
double offset = 0.0;
applyDataDefinedSymbology( context, mPen, mSelPen, offset );
p->setPen( context.selected() ? mSelPen : mPen );
// Disable 'Antialiasing' if the geometry was generalized in the current RenderContext (We known that it must have least #2 points).
if ( points.size() <= 2 && context.layer() && context.layer()->simplifyDrawingCanbeApplied( context.renderContext(), QgsVectorLayer::AntialiasingSimplification ) && QgsAbstractGeometrySimplifier::canbeGeneralizedByDeviceBoundingBox( points, context.layer()->simplifyMethod().threshold() ) && ( p->renderHints() & QPainter::Antialiasing ) )
{
p->setRenderHint( QPainter::Antialiasing, false );
p->drawPolyline( points );
p->setRenderHint( QPainter::Antialiasing, true );
return;
}
if ( mDrawInsidePolygon )
{
//only drawing the line on the interior of the polygon, so set clip path for painter
p->save();
QPainterPath clipPath;
clipPath.addPolygon( points );
p->setClipPath( clipPath, Qt::IntersectClip );
}
if ( offset == 0 )
{
p->drawPolyline( points );
}
else
{
double scaledOffset = offset * QgsSymbolLayerV2Utils::lineWidthScaleFactor( context.renderContext(), mOffsetUnit );
p->drawPolyline( ::offsetLine( points, scaledOffset ) );
}
if ( mDrawInsidePolygon )
{
//restore painter to reset clip path
p->restore();
}
}
//! Sutherland-Hodgman polygon clipping
QPolygonF GraphPolygonClipperF::clipPolygon(const QPolygonF &pa) const
{
if ( contains( ::boundingRect(pa) ) )
return pa;
QPolygonF cpa(pa.size());
clipEdge((Edge)0, pa, cpa);
for ( uint edge = 1; edge < NEdges; edge++ )
{
const QPolygonF rpa = cpa;
clipEdge((Edge)edge, rpa, cpa);
}
return cpa;
}
void QgsFillSymbolLayerV2::_renderPolygon( QPainter* p, const QPolygonF& points, const QList<QPolygonF>* rings, QgsSymbolV2RenderContext& context )
{
if ( !p )
{
return;
}
// Disable 'Antialiasing' if the geometry was generalized in the current RenderContext (We known that it must have least #5 points).
if ( points.size() <= 5 &&
( context.renderContext().vectorSimplifyMethod().simplifyHints() & QgsVectorSimplifyMethod::AntialiasingSimplification ) &&
QgsAbstractGeometrySimplifier::isGeneralizableByDeviceBoundingBox( points, context.renderContext().vectorSimplifyMethod().threshold() ) &&
( p->renderHints() & QPainter::Antialiasing ) )
{
p->setRenderHint( QPainter::Antialiasing, false );
p->drawRect( points.boundingRect() );
p->setRenderHint( QPainter::Antialiasing, true );
return;
}
// polygons outlines are sometimes rendered wrongly with drawPolygon, when
// clipped (see #13343), so use drawPath instead.
if ( !rings && p->pen().style() == Qt::NoPen )
{
// simple polygon without holes
p->drawPolygon( points );
}
else
{
// polygon with holes must be drawn using painter path
QPainterPath path;
QPolygonF outerRing = points;
path.addPolygon( outerRing );
if ( rings )
{
QList<QPolygonF>::const_iterator it = rings->constBegin();
for ( ; it != rings->constEnd(); ++it )
{
QPolygonF ring = *it;
path.addPolygon( ring );
}
}
p->drawPath( path );
}
}
QString ShortNavigation::buildWKTPolygon( const QPolygonF &rhomboid ) {
QString WKTPolygon = "'POLYGON((";
for ( int i = 0; i < rhomboid.size(); i++ ) {
WKTPolygon.append( QString::number( rhomboid[i].x(), 'f', WKT_P));
WKTPolygon.append( " ");
WKTPolygon.append( QString::number( rhomboid[i].y(), 'f', WKT_P));
WKTPolygon.append( ",");
}
WKTPolygon.append( QString::number( rhomboid.at(0).x(), 'f', WKT_P));
WKTPolygon.append( " ");
WKTPolygon.append( QString::number( rhomboid.at(0).y(), 'f', WKT_P));
WKTPolygon.append( "))'");
return WKTPolygon;
}
static SplineStore qwtSplinePathG1(
const QwtSplineCardinalG1 *spline, const QPolygonF &points )
{
const int size = points.size();
const int numTensions = spline->isClosing() ? size : size - 1;
const QVector<QwtSplineCardinalG1::Tension> tensions2 = spline->tensions( points );
if ( tensions2.size() != numTensions )
return SplineStore();
const QPointF *p = points.constData();
const QwtSplineCardinalG1::Tension *t = tensions2.constData();
SplineStore store;
store.init( numTensions );
store.start( p[0] );
const QPointF &p0 = spline->isClosing() ? p[size-1] : p[0];
QPointF vec1 = ( p[1] - p0 ) * 0.5;
for ( int i = 0; i < size - 2; i++ )
{
const QPointF vec2 = ( p[i+2] - p[i] ) * 0.5;
store.addCubic( p[i] + vec1 * t[i].t1,
p[i+1] - vec2 * t[i].t2, p[i+1] );
vec1 = vec2;
}
const QPointF &pn = spline->isClosing() ? p[0] : p[size-1];
const QPointF vec2 = 0.5 * ( pn - p[size - 2] );
store.addCubic( p[size - 2] + vec1 * t[size-2].t1,
p[size - 1] - vec2 * t[size-2].t2, p[size - 1] );
if ( spline->isClosing() )
{
const QPointF vec3 = 0.5 * ( p[1] - p[size-1] );
store.addCubic( p[size-1] + vec2 * t[size-1].t1,
p[0] - vec3 * t[size-1].t2, p[0] );
}
return store;
}
/*!
\param points Series of data points
\return Curve points
*/
QPolygonF QwtWeedingCurveFitter::fitCurve( const QPolygonF &points ) const
{
QPolygonF fittedPoints;
if ( d_data->chunkSize == 0 )
{
fittedPoints = simplify( points );
}
else
{
for ( int i = 0; i < points.size(); i += d_data->chunkSize )
{
const QPolygonF p = points.mid( i, d_data->chunkSize );
fittedPoints += simplify( p );
}
}
return fittedPoints;
}
bool LinearFunction::apply(const QPolygonF& curveSamples, float x, float& y)
{
const int nbSamples = curveSamples.size();
for (int i=0; i<nbSamples; ++i)
{
const QPointF& point1 = curveSamples[i];
if (i+1 < nbSamples)
{
const QPointF& point2 = curveSamples[i+1];
if (point1.x()!=point2.x() && x>=point1.x() && x<=point2.x())
{
LinearFunction f(point1, point2);
y = f(x);
return true;
}
}
}
return false;
}
QString QTikzPicturePrivate::toTikzPath(const QPolygonF & polygon) const
{
if (polygon.isEmpty()) return QString();
const int end = polygon.size() - polygon.isClosed() ? 1 : 0;
QString path;
for (int i = 0; i < end; ++i) {
if (i == 0) {
path = toCoord(polygon[i]);
} else if (i == end - 1) {
path += " -- cycle";
} else {
path += " -- " + toCoord(polygon[i]);
}
}
return path;
}
// Check whether a point is on the border
static bool isPointOnPathBorder(const QPolygonF& border, const QPointF& p)
{
QPointF p1 = border.at(0);
QPointF p2;
for (int i = 1; i < border.size(); ++i) {
p2 = border.at(i);
if (areCollinear(p, p1, p2)
// Once we know that the points are collinear we
// only need to check one of the coordinates
&& (qAbs(p2.x() - p1.x()) > qAbs(p2.y() - p1.y()) ?
withinRange(p.x(), p1.x(), p2.x()) :
withinRange(p.y(), p1.y(), p2.y()))) {
return true;
}
p1 = p2;
}
return false;
}
void QgsSimpleLineSymbolLayerV2::renderPolyline( const QPolygonF& points, QgsSymbolV2RenderContext& context )
{
QPainter* p = context.renderContext().painter();
if ( !p )
{
return;
}
//size scaling by field
if ( context.renderHints() & QgsSymbolV2::DataDefinedSizeScale )
{
applySizeScale( context, mPen, mSelPen );
}
double offset = mOffset;
applyDataDefinedSymbology( context, mPen, mSelPen, offset );
p->setPen( context.selected() ? mSelPen : mPen );
// Disable 'Antialiasing' if the geometry was generalized in the current RenderContext (We known that it must have least #2 points).
if ( points.size() <= 2 &&
( context.renderContext().vectorSimplifyMethod().simplifyHints() & QgsVectorSimplifyMethod::AntialiasingSimplification ) &&
QgsAbstractGeometrySimplifier::isGeneralizableByDeviceBoundingBox( points, context.renderContext().vectorSimplifyMethod().threshold() ) &&
( p->renderHints() & QPainter::Antialiasing ) )
{
p->setRenderHint( QPainter::Antialiasing, false );
p->drawPolyline( points );
p->setRenderHint( QPainter::Antialiasing, true );
return;
}
if ( qgsDoubleNear( offset, 0 ) )
{
p->drawPolyline( points );
}
else
{
double scaledOffset = QgsSymbolLayerV2Utils::convertToPainterUnits( context.renderContext(), offset, mOffsetUnit, mOffsetMapUnitScale );
QList<QPolygonF> mline = ::offsetLine( points, scaledOffset, context.feature() ? context.feature()->constGeometry()->type() : QGis::Line );
for ( int part = 0; part < mline.count(); ++part )
p->drawPolyline( mline[ part ] );
}
}
/*!
\brief Complete a polygon to be a closed polygon including the
area between the original polygon and the baseline.
\param painter Painter
\param xMap X map
\param yMap Y map
\param polygon Polygon to be completed
*/
void QwtPlotCurve::closePolyline( QPainter *painter,
const QwtScaleMap &xMap, const QwtScaleMap &yMap,
QPolygonF &polygon ) const
{
if ( polygon.size() < 2 )
return;
const bool doAlign = QwtPainter::roundingAlignment( painter );
double baseline = d_data->baseline;
if ( orientation() == Qt::Vertical )
{
if ( yMap.transformation()->type() == QwtScaleTransformation::Log10 )
{
if ( baseline < QwtScaleMap::LogMin )
baseline = QwtScaleMap::LogMin;
}
double refY = yMap.transform( baseline );
if ( doAlign )
refY = qRound( refY );
polygon += QPointF( polygon.last().x(), refY );
polygon += QPointF( polygon.first().x(), refY );
}
else
{
if ( xMap.transformation()->type() == QwtScaleTransformation::Log10 )
{
if ( baseline < QwtScaleMap::LogMin )
baseline = QwtScaleMap::LogMin;
}
double refX = xMap.transform( baseline );
if ( doAlign )
refX = qRound( refX );
polygon += QPointF( refX, polygon.last().y() );
polygon += QPointF( refX, polygon.first().y() );
}
}
QPolygonF Shape::vertices() const
{
QPolygonF result = vertices_;
switch (type_) {
case SEGMENT:
case POLYLINE:
case CLOSED_POLYLINE:
case POLYGON:
break;
case RECTANGLE:
if (result.size() == 2) {
result = QPolygonF(QRectF(result[0], result[1]));
result.pop_back();
}
break;
}
return result;
}
bool PathPlanner::pointInPolygon(const QPointF &point, const QPolygonF &polygon)
{
int polyCorners = polygon.size();
int i, j = polyCorners - 1;
bool oddNodes = false;
double x = point.x(), y = point.y();
for (i=0; i < polyCorners; i++)
{
if ( ((polygon[i].y() < y && polygon[j].y() >= y) || (polygon[j].y() < y && polygon[i].y() >= y))
&& (polygon[i].x() <= x || polygon[j].x()<=x))
{
oddNodes ^= (polygon[i].x()+(y-polygon[i].y())/(polygon[j].y()-polygon[i].y())*(polygon[j].x()-polygon[i].x())<x);
}
j = i;
}
return oddNodes;
}
void EditPolygonTool::deleteNodes()
{
if (mSelectedHandles.isEmpty())
return;
PointIndexesByObject p = groupIndexesByObject(mSelectedHandles);
QMapIterator<MapObject*, RangeSet<int> > i(p);
QUndoStack *undoStack = mapDocument()->undoStack();
QString delText = tr("Delete %n Node(s)", "", mSelectedHandles.size());
undoStack->beginMacro(delText);
while (i.hasNext()) {
MapObject *object = i.next().key();
const RangeSet<int> &indexRanges = i.value();
QPolygonF oldPolygon = object->polygon();
QPolygonF newPolygon = oldPolygon;
// Remove points, back to front to keep the indexes valid
RangeSet<int>::Range it = indexRanges.end();
RangeSet<int>::Range begin = indexRanges.begin();
// assert: end != begin, since there is at least one entry
do {
--it;
newPolygon.remove(it.first(), it.length());
} while (it != begin);
if (newPolygon.size() < 2) {
// We've removed the entire object
undoStack->push(new RemoveMapObject(mapDocument(), object));
} else {
undoStack->push(new ChangePolygon(mapDocument(), object,
newPolygon,
oldPolygon));
}
}
undoStack->endMacro();
}
QPainterPath QwtSplinePleasing::pathP( const QPolygonF &points ) const
{
const int size = points.size();
if ( size <= 2 )
return QwtSplineCardinalG1::pathP( points );
using namespace QwtSplineCardinalG1P;
PathStore store;
switch( parametrization()->type() )
{
case QwtSplineParameter::ParameterX:
{
store = qwtSplinePathPleasing<PathStore>( points,
isClosing(), QwtSplineParameter::paramX() );
break;
}
case QwtSplineParameter::ParameterUniform:
{
store = qwtSplinePathPleasing<PathStore>( points,
isClosing(), QwtSplineParameter::paramUniform() );
break;
}
case QwtSplineParameter::ParameterChordal:
{
store = qwtSplinePathPleasing<PathStore>( points,
isClosing(), QwtSplineParameter::paramChordal() );
break;
}
default:
{
store = qwtSplinePathPleasing<PathStore>( points,
isClosing(), QwtSplineParameter::param( parametrization() ) );
}
}
if ( isClosing() )
store.path.closeSubpath();
return store.path;
}
QPolygonF polygonFromPath(potrace_path_t *path,
int bezierPrecision)
{
QPolygonF poly;
if(!path) return poly;
int n = path->curve.n;
int *tag = path->curve.tag;
potrace_dpoint_t (*c)[3] = path->curve.c;
for(int i = 0; i < n; ++i)
{
switch (tag[i])
{
case POTRACE_CORNER:
poly << QPointF(c[i][1].x, c[i][1].y)
<< QPointF(c[i][2].x, c[i][2].y);
break;
case POTRACE_CURVETO:
{
QPointF pa, pb, pc, pd;
pa = poly.isEmpty()? QPointF(c[n-1][2].x, c[n-1][2].y) :
poly.last();
pb = QPointF(c[i][0].x, c[i][0].y);
pc = QPointF(c[i][1].x, c[i][1].y);
pd = QPointF(c[i][2].x, c[i][2].y);
for(int i = 1; i <= bezierPrecision; ++i)
{
poly << bezier(pa, pb, pc, pd, static_cast<qreal>(i)/bezierPrecision);
}
}
break;
}
}
if(!poly.isEmpty() && poly.first() == poly.last())
{
poly.remove(poly.size()-1);
}
return poly;
}
QPainterPath OrthogonalRenderer::shape(const MapObject *object) const
{
QPainterPath path;
if (object->tile()) {
path.addRect(boundingRect(object));
} else {
switch (object->shape()) {
case MapObject::Rectangle: {
const QRectF bounds = object->bounds();
const QRectF rect(tileToPixelCoords(bounds.topLeft()),
tileToPixelCoords(bounds.bottomRight()));
if (rect.isNull()) {
path.addEllipse(rect.topLeft(), 20, 20);
} else {
path.addRoundedRect(rect, 10, 10);
}
break;
}
case MapObject::Polygon:
case MapObject::Polyline: {
const QPointF &pos = object->position();
const QPolygonF polygon = object->polygon().translated(pos);
const QPolygonF screenPolygon = tileToPixelCoords(polygon);
if (object->shape() == MapObject::Polygon) {
path.addPolygon(screenPolygon);
} else {
for (int i = 1; i < screenPolygon.size(); ++i) {
path.addPolygon(lineToPolygon(screenPolygon[i - 1],
screenPolygon[i]));
}
path.setFillRule(Qt::WindingFill);
}
break;
}
}
}
return path;
}
static inline QVector<QwtSplineCardinalG1::Tension> qwtTensions(
const QPolygonF &points, bool isClosed, Param param )
{
const int size = points.size();
QVector<QwtSplineCardinalG1::Tension> tensions2( isClosed ? size : size - 1 );
const QPointF *p = points.constData();
QwtSplineCardinalG1::Tension *t = tensions2.data();
const QPointF &p0 = isClosed ? p[size-1] : p[0];
double d13 = param(p[0], p[2]);
t[0] = qwtTension( param(p0, p[1]), param(p[0], p[1]),
d13, p0, p[0], p[1], p[2] );
for ( int i = 1; i < size - 2; i++ )
{
const double d23 = param( p[i], p[i+1] );
const double d24 = param( p[i], p[i+2] );
t[i] = qwtTension( d13, d23, d24, p[i-1], p[i], p[i+1], p[i+2] );
d13 = d24;
}
const QPointF &pn = isClosed ? p[0] : p[size-1];
const double d24 = param( p[size-2], pn );
t[size-2] = qwtTension( d13, param( p[size-2], p[size-1] ), d24,
p[size - 3], p[size - 2], p[size - 1], pn );
if ( isClosed )
{
const double d34 = param( p[size-1], p[0] );
const double d35 = param( p[size-1], p[1] );
t[size-1] = qwtTension( d24, d34, d35, p[size-2], p[size-1], p[0], p[1] );
}
return tensions2;
}
void Renderer::drawMesh()
{
// render mesh as a wireframe
QPainter p(&mImage);
p.setRenderHint(QPainter::Antialiasing);
p.setPen(QPen(QBrush(mCfg.mesh.mMeshColor),0.5));
p.setFont(QFont(""));
const Mesh::Elements& elems = mMesh->elements();
for (int i=0; i < elems.count(); ++i)
{
const Element& elem = elems[i];
if( elem.isDummy() )
continue;
// If the element is outside the view of the canvas, skip it
if( elemOutsideView(i) )
continue;
QPolygonF pts = elementPolygonPixel(elem);
p.drawPolyline(pts.constData(), pts.size());
if (mCfg.mesh.mRenderMeshLabels)
{
double cx, cy;
mMesh->elementCentroid(i, cx, cy);
QString txt = QString::number(elem.id());
QRect bb = p.fontMetrics().boundingRect(txt);
QPointF xy = mtp.realToPixel(cx, cy);
bb.moveTo(xy.x() - bb.width()/2.0, xy.y() - bb.height()/2.0);
if (pts.containsPoint(bb.bottomLeft(), Qt::WindingFill) &&
pts.containsPoint(bb.bottomRight(), Qt::WindingFill) &&
pts.containsPoint(bb.topLeft(), Qt::WindingFill) &&
pts.containsPoint(bb.topRight(), Qt::WindingFill))
{
p.drawText(bb, Qt::AlignCenter, txt);
}
}
}
}
QPolygonF Shape::polygon() const
{
QPolygonF result = vertices_;
switch (type_) {
case SEGMENT:
case POLYLINE:
break;
case CLOSED_POLYLINE:
case POLYGON:
result.append(result.first());
break;
case RECTANGLE:
if (result.size() == 2)
result = QPolygonF(QRectF(result[0], result[1]));
break;
}
return result;
}
void QgsCoordinateTransform::transformPolygon( QPolygonF& poly, TransformDirection direction ) const
{
if ( mShortCircuit || !mInitialisedFlag )
{
return;
}
//create x, y arrays
int nVertices = poly.size();
QVector<double> x( nVertices );
QVector<double> y( nVertices );
QVector<double> z( nVertices );
for ( int i = 0; i < nVertices; ++i )
{
const QPointF& pt = poly.at( i );
x[i] = pt.x();
y[i] = pt.y();
z[i] = 0;
}
try
{
transformCoords( nVertices, x.data(), y.data(), z.data(), direction );
}
catch ( const QgsCsException & )
{
// rethrow the exception
QgsDebugMsg( "rethrowing exception" );
throw;
}
for ( int i = 0; i < nVertices; ++i )
{
QPointF& pt = poly[i];
pt.rx() = x[i];
pt.ry() = y[i];
}
}
// ============================================================================
/// Checks if polygon is convex.
bool isPolygonConvex( const QPolygonF& p )
{
int points = p.size();
if ( points < 3 )
{
return true; // short circuit edge case
}
int negatives = 0;
int positives = 0;
for( int i = 0; i < points; i++ )
{
QPointF p1 = p[i];
QPointF p2 = p[(i+1)%points];
QPointF p3 = p[(i+2)%points];
// TODO use b2Cross here
// converts these points to 2 3d vectors
double a1 = p2.x() - p1.x();
double a2 = p2.y() - p1.y();
// a3 = 0
double b1 = p3.x() - p2.x();
double b2 = p3.y() - p2.y();
// b3 = 0;
// now find cross product of these vectors
// c = a x b
// c1 = 0, c2 = 0
double c3 = a1*b2 - a2*b1;
if ( c3 < 0 ) negatives ++;
else positives++;
}
return ( negatives == 0 ) || ( positives == 0 );
}
void testDuplicates()
{
QwtSplineLocal spline( QwtSplineLocal::Cardinal );
spline.setParametrization( QwtSplineParametrization::ParameterChordal );
QPolygonF points;
points += QPointF( 1, 6 );
points += QPointF( 2, 7 );
points += QPointF( 3, 5);
points += QPointF( 2, 4 );
points += QPointF( 0, 3 );
// inserting duplicates
QPolygonF points1;
for ( int i = 0; i < points.size(); i++ )
{
points1 += points[i];
points1 += points[i];
}
testPaths( "Duplicates", spline, points, points1 );
spline.setBoundaryType( QwtSpline::ClosedPolygon );
testPaths( "Duplicates", spline, points, points1 );
QPolygonF points2 = points;
points2.append( points[0] );
testPaths( "First point also at End", spline, points, points2 );
QPolygonF points3 = points;
points3.prepend( points.first() );
testPaths( "First point twice", spline, points, points3 );
QPolygonF points4 = points;
points4.append( points.last() );
testPaths( "Last point twice", spline, points, points4 );
}
void LineDiagram::Private::paintPolyline(
PaintContext* ctx,
const QBrush& brush, const QPen& pen,
const QPolygonF& points ) const
{
ctx->painter()->setBrush( brush );
ctx->painter()->setPen( PrintingParameters::scalePen(
QPen( pen.color(),
pen.width(),
pen.style(),
Qt::FlatCap,
Qt::MiterJoin ) ) );
#if QT_VERSION > 0x040299
ctx->painter()->drawPolyline( points );
#else
// FIXME (Mirko) verify, this sounds reverse-logical
// For Qt versions older than 4.3 drawPolyline is VERY slow
// so we use traditional line segments drawing instead then.
for (int i = 0; i < points.size()-1; ++i)
ctx->painter()->drawLine( points.at(i), points.at(i+1) );
#endif
}
QPainterPath QwtSpline::pathP( const QPolygonF &points ) const
{
const int n = points.size();
QPainterPath path;
if ( n == 0 )
return path;
if ( n == 1 )
{
path.moveTo( points[0] );
return path;
}
if ( n == 2 )
{
path.addPolygon( points );
return path;
}
const QVector<QLineF> controlPoints = bezierControlPointsP( points );
if ( controlPoints.size() < n - 1 )
return path;
const QPointF *p = points.constData();
const QLineF *l = controlPoints.constData();
path.moveTo( p[0] );
for ( int i = 0; i < n - 1; i++ )
path.cubicTo( l[i].p1(), l[i].p2(), p[i+1] );
if ( controlPoints.size() >= n )
{
path.cubicTo( l[n-1].p1(), l[n-1].p2(), p[0] );
path.closeSubpath();
}
return path;
}
// Check whether a point is on the border
bool isPointOnPathBorder(const QPolygonF& border, const QPointF& p)
{
QPointF p1 = border.at(0);
QPointF p2;
for (int i = 1; i < border.size(); ++i) {
p2 = border.at(i);
// (x1<=x<=x2||x1=>x>=x2) && (y1<=y<=y2||y1=>y>=y2) && (y2-y1)(x-x1) == (y-y1)(x2-x1)
// In which, (y2-y1)(x-x1) == (y-y1)(x2-x1) is from (y2-y1)/(x2-x1) == (y-y1)/(x-x1)
// it want to check the slope between p1 and p2 is same with slope between p and p1,
// if so then the three points lie on the same line.
// In which, (x1<=x<=x2||x1=>x>=x2) && (y1<=y<=y2||y1=>y>=y2) want to make sure p is
// between p1 and p2, not outside.
if (((p.x() <= p1.x() && p.x() >= p2.x()) || (p.x() >= p1.x() && p.x() <= p2.x()))
&& ((p.y() <= p1.y() && p.y() >= p2.y()) || (p.y() >= p1.y() && p.y() <= p2.y()))
&& (p2.y() - p1.y()) * (p.x() - p1.x()) == (p.y() - p1.y()) * (p2.x() - p1.x())) {
return true;
}
p1 = p2;
}
return false;
}
void GraphPolygonClipperF::clipEdge(Edge edge,
const QPolygonF &pa, QPolygonF &cpa) const
{
if ( pa.count() == 0 )
{
cpa.resize(0);
return;
}
unsigned int count = 0;
GraphDoublePoint p1 = pa[0];
if ( insideEdge(p1, edge) )
addPoint(cpa, count++, p1);
const uint nPoints = pa.size();
for ( uint i = 1; i < nPoints; i++ )
{
const GraphDoublePoint p2 = pa[(int)i];
if ( insideEdge(p2, edge) )
{
if ( insideEdge(p1, edge) )
addPoint(cpa, count++, p2);
else
{
addPoint(cpa, count++, intersectEdge(p1, p2, edge));
addPoint(cpa, count++, p2);
}
}
else
{
if ( insideEdge(p1, edge) )
addPoint(cpa, count++, intersectEdge(p1, p2, edge));
}
p1 = p2;
}
cpa.resize(count);
}