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Segmentize circular strings the same way in both directions, avoiding problems with tiny gaps/overlaps
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@ -487,14 +487,25 @@ void QgsCircularString::setPoints( const QgsPointSequence &points )
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void QgsCircularString::segmentize( const QgsPointV2& p1, const QgsPointV2& p2, const QgsPointV2& p3, QgsPointSequence &points, double tolerance, SegmentationToleranceType toleranceType ) const
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{
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bool clockwise = false;
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int segSide = segmentSide( p1, p3, p2 );
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if ( segSide == -1 )
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{
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clockwise = true;
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}
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QgsPointV2 circlePoint1 = clockwise ? p3 : p1;
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QgsPointV2 circlePoint2 = p2;
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QgsPointV2 circlePoint3 = clockwise ? p1 : p3 ;
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//adapted code from postgis
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double radius = 0;
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double centerX = 0;
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double centerY = 0;
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QgsGeometryUtils::circleCenterRadius( p1, p2, p3, radius, centerX, centerY );
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int segSide = segmentSide( p1, p3, p2 );
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QgsGeometryUtils::circleCenterRadius( circlePoint1, circlePoint2, circlePoint3, radius, centerX, centerY );
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if ( p1 != p3 && ( radius < 0 || qgsDoubleNear( segSide, 0.0 ) ) ) //points are colinear
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if ( circlePoint1 != circlePoint3 && ( radius < 0 || qgsDoubleNear( segSide, 0.0 ) ) ) //points are colinear
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{
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points.append( p1 );
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points.append( p2 );
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@ -502,12 +513,6 @@ void QgsCircularString::segmentize( const QgsPointV2& p1, const QgsPointV2& p2,
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return;
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}
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bool clockwise = false;
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if ( segSide == -1 )
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{
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clockwise = true;
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}
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double increment = tolerance; //one segment per degree
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if ( toleranceType == QgsAbstractGeometry::MaximumDifference )
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{
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@ -516,27 +521,15 @@ void QgsCircularString::segmentize( const QgsPointV2& p1, const QgsPointV2& p2,
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}
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//angles of pt1, pt2, pt3
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double a1 = atan2( p1.y() - centerY, p1.x() - centerX );
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double a2 = atan2( p2.y() - centerY, p2.x() - centerX );
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double a3 = atan2( p3.y() - centerY, p3.x() - centerX );
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double a1 = atan2( circlePoint1.y() - centerY, circlePoint1.x() - centerX );
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double a2 = atan2( circlePoint2.y() - centerY, circlePoint2.x() - centerX );
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double a3 = atan2( circlePoint3.y() - centerY, circlePoint3.x() - centerX );
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if ( clockwise )
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{
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increment *= -1;
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/* Adjust a3 down so we can decrement from a1 to a3 cleanly */
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if ( a3 >= a1 )
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a3 -= 2.0 * M_PI;
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if ( a2 > a1 )
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a2 -= 2.0 * M_PI;
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}
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else
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{
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/* Adjust a3 up so we can increment from a1 to a3 cleanly */
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if ( a3 <= a1 )
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a3 += 2.0 * M_PI;
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if ( a2 < a1 )
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a2 += 2.0 * M_PI;
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}
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/* Adjust a3 up so we can increment from a1 to a3 cleanly */
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if ( a3 <= a1 )
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a3 += 2.0 * M_PI;
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if ( a2 < a1 )
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a2 += 2.0 * M_PI;
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bool hasZ = is3D();
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bool hasM = isMeasure();
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@ -545,8 +538,9 @@ void QgsCircularString::segmentize( const QgsPointV2& p1, const QgsPointV2& p2,
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double z = 0;
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double m = 0;
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points.append( p1 );
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if ( p2 != p3 && p1 != p2 ) //draw straight line segment if two points have the same position
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QList<QgsPointV2> stringPoints;
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stringPoints.insert( clockwise ? 0 : stringPoints.size(), circlePoint1 );
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if ( circlePoint2 != circlePoint3 && circlePoint1 != circlePoint2 ) //draw straight line segment if two points have the same position
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{
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QgsWkbTypes::Type pointWkbType = QgsWkbTypes::Point;
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if ( hasZ )
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@ -556,16 +550,16 @@ void QgsCircularString::segmentize( const QgsPointV2& p1, const QgsPointV2& p2,
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//make sure the curve point p2 is part of the segmentized vertices. But only if p1 != p3
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bool addP2 = true;
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if ( qgsDoubleNear( p1.x(), p3.x() ) && qgsDoubleNear( p1.y(), p3.y() ) )
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if ( qgsDoubleNear( circlePoint1.x(), circlePoint3.x() ) && qgsDoubleNear( circlePoint1.y(), circlePoint3.y() ) )
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{
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addP2 = false;
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}
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for ( double angle = a1 + increment; clockwise ? angle > a3 : angle < a3; angle += increment )
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for ( double angle = a1 + increment; angle < a3; angle += increment )
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{
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if (( addP2 && clockwise && angle < a2 ) || ( addP2 && !clockwise && angle > a2 ) )
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if (( addP2 && angle > a2 ) )
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{
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points.append( p2 );
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stringPoints.insert( clockwise ? 0 : stringPoints.size(), circlePoint2 );
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addP2 = false;
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}
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@ -574,23 +568,24 @@ void QgsCircularString::segmentize( const QgsPointV2& p1, const QgsPointV2& p2,
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if ( !hasZ && !hasM )
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{
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points.append( QgsPointV2( x, y ) );
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stringPoints.insert( clockwise ? 0 : stringPoints.size(), QgsPointV2( x, y ) );
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continue;
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}
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if ( hasZ )
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{
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z = interpolateArc( angle, a1, a2, a3, p1.z(), p2.z(), p3.z() );
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z = interpolateArc( angle, a1, a2, a3, circlePoint1.z(), circlePoint2.z(), circlePoint3.z() );
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}
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if ( hasM )
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{
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m = interpolateArc( angle, a1, a2, a3, p1.m(), p2.m(), p3.m() );
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m = interpolateArc( angle, a1, a2, a3, circlePoint1.m(), circlePoint2.m(), circlePoint3.m() );
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}
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points.append( QgsPointV2( pointWkbType, x, y, z, m ) );
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stringPoints.insert( clockwise ? 0 : stringPoints.size(), QgsPointV2( pointWkbType, x, y, z, m ) );
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}
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}
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points.append( p3 );
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stringPoints.insert( clockwise ? 0 : stringPoints.size(), circlePoint3 );
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points.append( stringPoints );
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}
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int QgsCircularString::segmentSide( const QgsPointV2& pt1, const QgsPointV2& pt3, const QgsPointV2& pt2 ) const
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