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QGIS API Documentation 3.99.0-Master (2fe06baccd8)
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Contains various geometry utility functions. More...
#include <qgsgeometryutils.h>
Classes | |
| struct | SelfIntersection |
Public Types | |
| enum | ComponentType { Vertex , Ring , Part } |
Static Public Member Functions | |
| static Q_DECL_DEPRECATED double | angleBetweenThreePoints (double x1, double y1, double x2, double y2, double x3, double y3) |
| Calculates the angle between the lines AB and BC, where AB and BC described by points a, b and b, c. | |
| static Q_DECL_DEPRECATED bool | angleBisector (double aX, double aY, double bX, double bY, double cX, double cY, double dX, double dY, double &pointX, double &pointY, double &angle) |
| Returns the point (pointX, pointY) forming the bisector from segment (aX aY) (bX bY) and segment (bX, bY) (dX, dY). | |
| static Q_DECL_DEPRECATED bool | angleOnCircle (double angle, double angle1, double angle2, double angle3) |
Returns true if an angle is between angle1 and angle3 on a circle described by angle1, angle2 and angle3. | |
| static Q_DECL_DEPRECATED double | averageAngle (double a1, double a2) |
| Averages two angles, correctly handling negative angles and ensuring the result is between 0 and 2 pi. | |
| static Q_DECL_DEPRECATED double | averageAngle (double x1, double y1, double x2, double y2, double x3, double y3) |
| Calculates the average angle (in radians) between the two linear segments from (x1, y1) to (x2, y2) and (x2, y2) to (x3, y3). | |
| static Q_DECL_DEPRECATED bool | bisector (double aX, double aY, double bX, double bY, double cX, double cY, double &pointX, double &pointY) |
| Returns the point (pointX, pointY) forming the bisector from point (aX, aY) to the segment (bX, bY) (cX, cY). | |
| static Q_DECL_DEPRECATED double | ccwAngle (double dy, double dx) |
| Returns the counter clockwise angle between a line with components dx, dy and the line with dx > 0 and dy = 0. | |
| static std::unique_ptr< QgsAbstractGeometry > | chamferVertex (const QgsCurve *curve, int vertexIndex, double distance1, double distance2) |
| Applies chamfer to a vertex in a curve geometry. | |
| static Q_DECL_DEPRECATED bool | circleAngleBetween (double angle, double angle1, double angle2, bool clockwise) |
Returns true if, in a circle, angle is between angle1 and angle2. | |
| static void | circleCenterRadius (const QgsPoint &pt1, const QgsPoint &pt2, const QgsPoint &pt3, double &radius, double ¢erX, double ¢erY) |
| Returns radius and center of the circle through pt1, pt2, pt3. | |
| static int | circleCircleInnerTangents (const QgsPointXY ¢er1, double radius1, const QgsPointXY ¢er2, double radius2, QgsPointXY &line1P1, QgsPointXY &line1P2, QgsPointXY &line2P1, QgsPointXY &line2P2) |
| Calculates the inner tangent points for two circles, centered at center1 and center2 and with radii of radius1 and radius2 respectively. | |
| static int | circleCircleIntersections (const QgsPointXY ¢er1, double radius1, const QgsPointXY ¢er2, double radius2, QgsPointXY &intersection1, QgsPointXY &intersection2) |
| Calculates the intersections points between the circle with center center1 and radius radius1 and the circle with center center2 and radius radius2. | |
| static int | circleCircleOuterTangents (const QgsPointXY ¢er1, double radius1, const QgsPointXY ¢er2, double radius2, QgsPointXY &line1P1, QgsPointXY &line1P2, QgsPointXY &line2P1, QgsPointXY &line2P2) |
| Calculates the outer tangent points for two circles, centered at center1 and center2 and with radii of radius1 and radius2 respectively. | |
| static Q_DECL_DEPRECATED bool | circleClockwise (double angle1, double angle2, double angle3) |
Returns true if the circle defined by three angles is ordered clockwise. | |
| static Q_DECL_DEPRECATED double | circleLength (double x1, double y1, double x2, double y2, double x3, double y3) |
| Length of a circular string segment defined by pt1, pt2, pt3. | |
| static double | circleTangentDirection (const QgsPoint &tangentPoint, const QgsPoint &cp1, const QgsPoint &cp2, const QgsPoint &cp3) |
| Calculates the direction angle of a circle tangent (clockwise from north in radians). | |
| static QgsPoint | closestPoint (const QgsAbstractGeometry &geometry, const QgsPoint &point) |
| Returns the nearest point on a segment of a geometry for the specified point. | |
| template<class T> | |
| static double | closestSegmentFromComponents (T &container, ComponentType ctype, const QgsPoint &pt, QgsPoint &segmentPt, QgsVertexId &vertexAfter, int *leftOf, double epsilon) |
| static Q_DECL_DEPRECATED int | closestSideOfRectangle (double right, double bottom, double left, double top, double x, double y) |
| Returns a number representing the closest side of a rectangle defined by /a right, bottom, left, top to the point at (x, y), where the point may be in the interior of the rectangle or outside it. | |
| static QgsPoint | closestVertex (const QgsAbstractGeometry &geom, const QgsPoint &pt, QgsVertexId &id) |
| Returns the closest vertex to a geometry for a specified point. | |
| static void | coefficients (const QgsPoint &pt1, const QgsPoint &pt2, double &a, double &b, double &c) |
| Returns the coefficients (a, b, c for equation "ax + by + c = 0") of a line defined by points pt1 and pt2. | |
| static bool | createChamfer (const QgsPoint &segment1Start, const QgsPoint &segment1End, const QgsPoint &segment2Start, const QgsPoint &segment2End, double distance1, double distance2, QgsPoint &chamferStart, QgsPoint &chamferEnd, double epsilon=1e-8) |
| Creates a chamfer between two line segments using QgsPoint. | |
| static std::unique_ptr< QgsLineString > | createChamferGeometry (const QgsPoint &segment1Start, const QgsPoint &segment1End, const QgsPoint &segment2Start, const QgsPoint &segment2End, double distance1, double distance2) |
| Creates a complete chamfer geometry connecting two segments. | |
| static bool | createFillet (const QgsPoint &segment1Start, const QgsPoint &segment1End, const QgsPoint &segment2Start, const QgsPoint &segment2End, double radius, QgsPoint &filletPoint1, QgsPoint &filletMidPoint, QgsPoint &filletPoint2, double epsilon=1e-8) |
| Creates a fillet (rounded corner) between two line segments using QgsPoint. | |
| static bool | createFilletArray (const QgsPoint &segment1Start, const QgsPoint &segment1End, const QgsPoint &segment2Start, const QgsPoint &segment2End, double radius, QgsPoint filletPoints[3], double epsilon=1e-8) |
| Convenient method of createFillet using array output. | |
| static std::unique_ptr< QgsAbstractGeometry > | createFilletGeometry (const QgsPoint &segment1Start, const QgsPoint &segment1End, const QgsPoint &segment2Start, const QgsPoint &segment2End, double radius, int segments) |
| Creates a complete fillet geometry connecting two segments. | |
| static QgsPoint | createPointWithMatchingDimensions (double x, double y, const QgsPoint &reference) |
| Creates a QgsPoint with dimensions matching a reference point. | |
| static double | distance2D (const QgsPoint &pt1, const QgsPoint &pt2) |
| Returns the 2D distance between two points. | |
| static Q_DECL_DEPRECATED double | distance2D (double x1, double y1, double x2, double y2) |
| Returns the 2D distance between (x1, y1) and (x2, y2). | |
| static double | distance3D (const QgsPoint &pt1, const QgsPoint &pt2) |
| Returns the 3D distance between two points. | |
| static double | distanceToVertex (const QgsAbstractGeometry &geom, QgsVertexId id) |
| Returns the distance along a geometry from its first vertex to the specified vertex. | |
| static double | distToInfiniteLine (const QgsPoint &point, const QgsPoint &linePoint1, const QgsPoint &linePoint2, double epsilon=1e-7) |
| Returns the distance between a point and an infinite line. | |
| static QVector< QgsLineString * > | extractLineStrings (const QgsAbstractGeometry *geom) |
| Returns list of linestrings extracted from the passed geometry. | |
| static std::unique_ptr< QgsAbstractGeometry > | filletVertex (const QgsCurve *curve, int vertexIndex, double radius, int segments) |
| Applies fillet to a vertex in a curve geometry. | |
| static double | gradient (const QgsPoint &pt1, const QgsPoint &pt2) |
| Returns the gradient of a line defined by points pt1 and pt2. | |
| static Q_DECL_DEPRECATED double | interpolateArcValue (double angle, double a1, double a2, double a3, double zm1, double zm2, double zm3) |
| Interpolate a value at given angle on circular arc given values (zm1, zm2, zm3) at three different angles (a1, a2, a3). | |
| static QgsPoint | interpolatePointOnArc (const QgsPoint &pt1, const QgsPoint &pt2, const QgsPoint &pt3, double distance) |
| Interpolates a point on an arc defined by three points, pt1, pt2 and pt3. | |
| static QgsPoint | interpolatePointOnLine (const QgsPoint &p1, const QgsPoint &p2, double fraction) |
| Interpolates the position of a point a fraction of the way along the line from p1 to p2. | |
| static QgsPointXY | interpolatePointOnLine (double x1, double y1, double x2, double y2, double fraction) |
| Interpolates the position of a point a fraction of the way along the line from (x1, y1) to (x2, y2). | |
| static QgsPointXY | interpolatePointOnLineByValue (double x1, double y1, double v1, double x2, double y2, double v2, double value) |
| Interpolates the position of a point along the line from (x1, y1) to (x2, y2). | |
| static QgsPoint | interpolatePointOnSegment (double x, double y, const QgsPoint &segmentStart, const QgsPoint &segmentEnd) |
| Interpolates a point on a segment with proper Z and M value interpolation. | |
| static Q_DECL_DEPRECATED int | leftOfLine (const double x, const double y, const double x1, const double y1, const double x2, const double y2) |
| Returns a value < 0 if the point (x, y) is left of the line from (x1, y1) -> (x2, y2). | |
| static int | leftOfLine (const QgsPoint &point, const QgsPoint &p1, const QgsPoint &p2) |
| Returns a value < 0 if the point point is left of the line from p1 -> p2. | |
| static Q_DECL_DEPRECATED double | lineAngle (double x1, double y1, double x2, double y2) |
| Calculates the direction of line joining two points in radians, clockwise from the north direction. | |
| static bool | lineCircleIntersection (const QgsPointXY ¢er, double radius, const QgsPointXY &linePoint1, const QgsPointXY &linePoint2, QgsPointXY &intersection) |
| Compute the intersection of a line and a circle. | |
| static bool | lineIntersection (const QgsPoint &p1, QgsVector v1, const QgsPoint &p2, QgsVector v2, QgsPoint &intersection) |
| Computes the intersection between two lines. | |
| static Q_DECL_DEPRECATED double | linePerpendicularAngle (double x1, double y1, double x2, double y2) |
| Calculates the perpendicular angle to a line joining two points. | |
| static Q_DECL_DEPRECATED bool | linesIntersection3D (const QgsVector3D &La1, const QgsVector3D &La2, const QgsVector3D &Lb1, const QgsVector3D &Lb2, QgsVector3D &intersection) |
| An algorithm to calculate an (approximate) intersection of two lines in 3D. | |
| static double | maxFilletRadius (const QgsPoint &segment1Start, const QgsPoint &segment1End, const QgsPoint &segment2Start, const QgsPoint &segment2End, double epsilon=1e-8) |
| Calculates the maximum allowed fillet radius for the given segment configuration. | |
| static QgsPoint | midpoint (const QgsPoint &pt1, const QgsPoint &pt2) |
| Returns a middle point between points pt1 and pt2. | |
| static Q_DECL_DEPRECATED double | normalizedAngle (double angle) |
| Ensures that an angle is in the range 0 <= angle < 2 pi. | |
| static Q_DECL_DEPRECATED void | perpendicularCenterSegment (double centerPointX, double centerPointY, double segmentPoint1x, double segmentPoint1y, double segmentPoint2x, double segmentPoint2y, double &perpendicularSegmentPoint1x, double &perpendicularSegmentPoint1y, double &perpendicularSegmentPoint2x, double &perpendicularSegmentPoint2y, double segmentLength=0) |
| Create a perpendicular line segment to a given segment [segmentPoint1,segmentPoint2] with its center at centerPoint. | |
| static Q_DECL_DEPRECATED void | perpendicularOffsetPointAlongSegment (double x1, double y1, double x2, double y2, double proportion, double offset, double *x, double *y) |
| Calculates a point a certain proportion of the way along the segment from (x1, y1) to (x2, y2), offset from the segment by the specified offset amount. | |
| static QgsLineString | perpendicularSegment (const QgsPoint &p, const QgsPoint &s1, const QgsPoint &s2) |
| Create a perpendicular line segment from p to segment [s1, s2]. | |
| static bool | pointContinuesArc (const QgsPoint &a1, const QgsPoint &a2, const QgsPoint &a3, const QgsPoint &b, double distanceTolerance, double pointSpacingAngleTolerance) |
Returns true if point b is on the arc formed by points a1, a2, and a3, but not within that arc portion already described by a1, a2 and a3. | |
| static Q_DECL_DEPRECATED double | pointFractionAlongLine (double x1, double y1, double x2, double y2, double px, double py) |
| Given the line (x1, y1) to (x2, y2) and a point (px, py) returns the fraction of the line length at which the point lies. | |
| static QgsPoint | pointOnLineWithDistance (const QgsPoint &startPoint, const QgsPoint &directionPoint, double distance) |
| Returns a point a specified distance toward a second point. | |
| static Q_DECL_DEPRECATED void | pointOnLineWithDistance (double x1, double y1, double x2, double y2, double distance, double &x, double &y, double *z1=nullptr, double *z2=nullptr, double *z=nullptr, double *m1=nullptr, double *m2=nullptr, double *m=nullptr) |
| Calculates the point a specified distance from (x1, y1) toward a second point (x2, y2). | |
| static bool | pointsAreCollinear (const QgsPoint &pt1, const QgsPoint &pt2, const QgsPoint &pt3, double epsilon) |
| Checks if three points are collinear within a given tolerance. | |
| static Q_DECL_DEPRECATED bool | pointsAreCollinear (double x1, double y1, double x2, double y2, double x3, double y3, double epsilon) |
Given the points (x1, y1), (x2, y2) and (x3, y3) returns true if these points can be considered collinear with a specified tolerance epsilon. | |
| static QgsPointSequence | pointsFromWKT (const QString &wktCoordinateList, bool is3D, bool isMeasure) |
| Returns a list of points contained in a WKT string. | |
| static QDomElement | pointsToGML2 (const QgsPointSequence &points, QDomDocument &doc, int precision, const QString &ns, QgsAbstractGeometry::AxisOrder axisOrder=QgsAbstractGeometry::AxisOrder::XY) |
| Returns a gml::coordinates DOM element. | |
| static QDomElement | pointsToGML3 (const QgsPointSequence &points, QDomDocument &doc, int precision, const QString &ns, bool is3D, QgsAbstractGeometry::AxisOrder axisOrder=QgsAbstractGeometry::AxisOrder::XY) |
| Returns a gml::posList DOM element. | |
| static QString | pointsToJSON (const QgsPointSequence &points, int precision) |
| Returns a geoJSON coordinates string. | |
| static json | pointsToJson (const QgsPointSequence &points, int precision) |
| Returns coordinates as json object. | |
| static void | pointsToWKB (QgsWkbPtr &wkb, const QgsPointSequence &points, bool is3D, bool isMeasure, QgsAbstractGeometry::WkbFlags flags) |
| Returns a LinearRing { uint32 numPoints; Point points[numPoints]; }. | |
| static QString | pointsToWKT (const QgsPointSequence &points, int precision, bool is3D, bool isMeasure) |
| Returns a WKT coordinate list. | |
| static QgsPoint | projectPointOnSegment (const QgsPoint &p, const QgsPoint &s1, const QgsPoint &s2) |
| Project the point on a segment. | |
| static bool | segmentIntersection (const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &q1, const QgsPoint &q2, QgsPoint &intersectionPoint, bool &isIntersection, double tolerance=1e-8, bool acceptImproperIntersection=false) |
| Compute the intersection between two segments. | |
| static void | segmentizeArc (const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, QgsPointSequence &points, double tolerance=M_PI_2/90, QgsAbstractGeometry::SegmentationToleranceType toleranceType=QgsAbstractGeometry::MaximumAngle, bool hasZ=false, bool hasM=false) |
| Convert circular arc defined by p1, p2, p3 (p1/p3 being start resp. | |
| static bool | segmentMidPoint (const QgsPoint &p1, const QgsPoint &p2, QgsPoint &result, double radius, const QgsPoint &mousePos) |
| Calculates midpoint on circle passing through p1 and p2, closest to the given coordinate mousePos. | |
| static QgsPoint | segmentMidPointFromCenter (const QgsPoint &p1, const QgsPoint &p2, const QgsPoint ¢er, bool useShortestArc=true) |
| Calculates the midpoint on the circle passing through p1 and p2, with the specified center coordinate. | |
| static int | segmentSide (const QgsPoint &pt1, const QgsPoint &pt3, const QgsPoint &pt2) |
| For line defined by points pt1 and pt3, find out on which side of the line is point pt2. | |
| static QVector< SelfIntersection > | selfIntersections (const QgsAbstractGeometry *geom, int part, int ring, double tolerance) |
| Find self intersections in a polyline. | |
| static Q_DECL_DEPRECATED bool | setZValueFromPoints (const QgsPointSequence &points, QgsPoint &point) |
| A Z dimension is added to point if one of the point in the list points is in 3D. | |
| static Q_DECL_DEPRECATED double | skewLinesDistance (const QgsVector3D &P1, const QgsVector3D &P12, const QgsVector3D &P2, const QgsVector3D &P22) |
| An algorithm to calculate the shortest distance between two skew lines. | |
| static Q_DECL_DEPRECATED bool | skewLinesProjection (const QgsVector3D &P1, const QgsVector3D &P12, const QgsVector3D &P2, const QgsVector3D &P22, QgsVector3D &X1, double epsilon=0.0001) |
| A method to project one skew line onto another. | |
| static double | sqrDistance2D (const QgsPoint &pt1, const QgsPoint &pt2) |
| Returns the squared 2D distance between two points. | |
| static Q_DECL_DEPRECATED double | sqrDistance2D (double x1, double y1, double x2, double y2) |
| Returns the squared 2D distance between (x1, y1) and (x2, y2). | |
| static double | sqrDistance3D (const QgsPoint &pt1, const QgsPoint &pt2) |
| Returns the squared 3D distance between two points. | |
| static Q_DECL_DEPRECATED double | sqrDistToLine (double ptX, double ptY, double x1, double y1, double x2, double y2, double &minDistX, double &minDistY, double epsilon) |
| Returns the squared distance between a point and a line. | |
| static Q_DECL_DEPRECATED double | sweepAngle (double centerX, double centerY, double x1, double y1, double x2, double y2, double x3, double y3) |
| Calculates angle of a circular string part defined by pt1, pt2, pt3. | |
| static bool | tangentPointAndCircle (const QgsPointXY ¢er, double radius, const QgsPointXY &p, QgsPointXY &pt1, QgsPointXY &pt2) |
| Calculates the tangent points between the circle with the specified center and radius and the point p. | |
| static bool | transferFirstMValueToPoint (const QgsPointSequence &points, QgsPoint &point) |
| A M dimension is added to point if one of the points in the list points contains an M value. | |
| static bool | transferFirstZOrMValueToPoint (const QgsGeometry &geom, QgsPoint &point) |
| A Z or M dimension is added to point if one of the points in the list points contains Z or M value. | |
| static bool | transferFirstZOrMValueToPoint (const QgsPointSequence &points, QgsPoint &point) |
| A Z or M dimension is added to point if one of the points in the list points contains Z or M value. | |
| template<class Iterator> | |
| static bool | transferFirstZOrMValueToPoint (Iterator verticesBegin, Iterator verticesEnd, QgsPoint &point) |
| A Z or M dimension is added to point if one of the points in the list points contains Z or M value. | |
| static bool | transferFirstZValueToPoint (const QgsPointSequence &points, QgsPoint &point) |
| A Z dimension is added to point if one of the point in the list points is in 3D. | |
| static Q_DECL_DEPRECATED double | triangleArea (double aX, double aY, double bX, double bY, double cX, double cY) |
| Returns the area of the triangle denoted by the points (aX, aY), (bX, bY) and (cX, cY). | |
| static bool | verticesAtDistance (const QgsAbstractGeometry &geometry, double distance, QgsVertexId &previousVertex, QgsVertexId &nextVertex) |
| Retrieves the vertices which are before and after the interpolated point at a specified distance along a linestring (or polygon boundary). | |
| static Q_DECL_DEPRECATED void | weightedPointInTriangle (double aX, double aY, double bX, double bY, double cX, double cY, double weightB, double weightC, double &pointX, double &pointY) |
| Returns a weighted point inside the triangle denoted by the points (aX, aY), (bX, bY) and (cX, cY). | |
| static QStringList | wktGetChildBlocks (const QString &wkt, const QString &defaultType=QString()) |
| Parses a WKT string and returns of list of blocks contained in the WKT. | |
| static QPair< Qgis::WkbType, QString > | wktReadBlock (const QString &wkt) |
| Parses a WKT block of the format "TYPE( contents )" and returns a pair of geometry type to contents ("Pair(wkbType, "contents")"). | |
Contains various geometry utility functions.
Definition at line 37 of file qgsgeometryutils.h.
| Enumerator | |
|---|---|
| Vertex | |
| Ring | |
| Part | |
Definition at line 588 of file qgsgeometryutils.h.
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inlinestatic |
Calculates the angle between the lines AB and BC, where AB and BC described by points a, b and b, c.
| x1 | x-coordinate of point a |
| y1 | y-coordinate of point a |
| x2 | x-coordinate of point b |
| y2 | y-coordinate of point b |
| x3 | x-coordinate of point c |
| y3 | y-coordinate of point c |
Definition at line 900 of file qgsgeometryutils.h.
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inlinestatic |
Returns the point (pointX, pointY) forming the bisector from segment (aX aY) (bX bY) and segment (bX, bY) (dX, dY).
The bisector segment of AB-CD is (point, projection of point by angle)
| aX | x-coordinate of first vertex of the segment ab |
| aY | y-coordinate of first vertex of the segment ab |
| bX | x-coordinate of second vertex of the segment ab |
| bY | y-coordinate of second vertex of the segment ab |
| cX | x-coordinate of first vertex of the segment cd |
| cY | y-coordinate of first vertex of the segment cd |
| dX | x-coordinate of second vertex of the segment cd |
| dY | y-coordinate of second vertex of the segment cd |
| pointX | x-coordinate of generated point |
| pointY | y-coordinate of generated point |
| angle | angle of the bisector from pointX, pointY origin on [ab-cd] |
true if the bisector exists (A B and C D are not collinear)Definition at line 1171 of file qgsgeometryutils.h.
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inlinestatic |
Returns true if an angle is between angle1 and angle3 on a circle described by angle1, angle2 and angle3.
Definition at line 826 of file qgsgeometryutils.h.
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inlinestatic |
Averages two angles, correctly handling negative angles and ensuring the result is between 0 and 2 pi.
| a1 | first angle (in radians) |
| a2 | second angle (in radians) |
Definition at line 940 of file qgsgeometryutils.h.
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inlinestatic |
Calculates the average angle (in radians) between the two linear segments from (x1, y1) to (x2, y2) and (x2, y2) to (x3, y3).
Definition at line 927 of file qgsgeometryutils.h.
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inlinestatic |
Returns the point (pointX, pointY) forming the bisector from point (aX, aY) to the segment (bX, bY) (cX, cY).
The bisector segment of ABC is (A-point)
| aX | x-coordinate of first vertex in triangle |
| aY | y-coordinate of first vertex in triangle |
| bX | x-coordinate of second vertex in triangle |
| bY | y-coordinate of second vertex in triangle |
| cX | x-coordinate of third vertex in triangle |
| cY | y-coordinate of third vertex in triangle |
| pointX | x-coordinate of generated point |
| pointY | y-coordinate of generated point |
true if the bisector exists (A B and C are not collinear)Definition at line 1194 of file qgsgeometryutils.h.
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inlinestatic |
Returns the counter clockwise angle between a line with components dx, dy and the line with dx > 0 and dy = 0.
Definition at line 791 of file qgsgeometryutils.h.
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static |
Applies chamfer to a vertex in a curve geometry.
| curve | input curve geometry |
| vertexIndex | index of vertex to chamfer |
| distance1 | chamfer distance along first segment |
| distance2 | chamfer distance along second segment |
| QgsInvalidArgumentException | same as QgsGeometryUtilsBase::createChamfer and when curve is null when curve has not enough points |
Definition at line 1489 of file qgsgeometryutils.cpp.
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inlinestatic |
Returns true if, in a circle, angle is between angle1 and angle2.
Definition at line 815 of file qgsgeometryutils.h.
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inlinestatic |
Returns radius and center of the circle through pt1, pt2, pt3.
Definition at line 1203 of file qgsgeometryutils.h.
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static |
Calculates the inner tangent points for two circles, centered at center1 and center2 and with radii of radius1 and radius2 respectively.
The inner tangent points correspond to the points at which the two lines which are drawn so that they are tangential to both circles and are crossing each other.
The first tangent line is described by the points stored in line1P1 and line1P2, and the second line is described by the points stored in line2P1 and line2P2.
Returns the number of tangents (either 0 or 2).
Definition at line 418 of file qgsgeometryutils.cpp.
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static |
Calculates the intersections points between the circle with center center1 and radius radius1 and the circle with center center2 and radius radius2.
If found, the intersection points will be stored in intersection1 and intersection2.
Definition at line 280 of file qgsgeometryutils.cpp.
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static |
Calculates the outer tangent points for two circles, centered at center1 and center2 and with radii of radius1 and radius2 respectively.
The outer tangent points correspond to the points at which the two lines which are drawn so that they are tangential to both circles touch the circles.
The first tangent line is described by the points stored in line1P1 and line1P2, and the second line is described by the points stored in line2P1 and line2P2.
Returns the number of tangents (either 0 or 2).
Definition at line 382 of file qgsgeometryutils.cpp.
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inlinestatic |
Returns true if the circle defined by three angles is ordered clockwise.
The angles are defined counter-clockwise from the origin, i.e. using Euclidean angles as opposed to geographic "North up" angles.
Definition at line 805 of file qgsgeometryutils.h.
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Length of a circular string segment defined by pt1, pt2, pt3.
Definition at line 836 of file qgsgeometryutils.h.
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Calculates the direction angle of a circle tangent (clockwise from north in radians).
Definition at line 597 of file qgsgeometryutils.cpp.
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Returns the nearest point on a segment of a geometry for the specified point.
The z and m values will be linearly interpolated between the two neighbouring vertices.
Definition at line 108 of file qgsgeometryutils.cpp.
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Definition at line 596 of file qgsgeometryutils.h.
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Returns a number representing the closest side of a rectangle defined by /a right, bottom, left, top to the point at (x, y), where the point may be in the interior of the rectangle or outside it.
The returned value may be:
Definition at line 969 of file qgsgeometryutils.h.
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Returns the closest vertex to a geometry for a specified point.
On error null point will be returned and "id" argument will be invalid.
Definition at line 74 of file qgsgeometryutils.cpp.
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Returns the coefficients (a, b, c for equation "ax + by + c = 0") of a line defined by points pt1 and pt2.
| pt1 | first point. |
| pt2 | second point. |
| a | Output parameter, a coefficient of the equation. |
| b | Output parameter, b coefficient of the equation. |
| c | Output parameter, c coefficient of the equation. |
Definition at line 1172 of file qgsgeometryutils.cpp.
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Creates a chamfer between two line segments using QgsPoint.
| segment1Start | start point of first segment |
| segment1End | end point of first segment |
| segment2Start | start point of second segment |
| segment2End | end point of second segment |
| distance1 | chamfer distance along first segment |
| distance2 | chamfer distance along second segment (if negative, uses distance1) |
| chamferStart | calculated start point of the chamfer |
| chamferEnd | calculated end point of the chamfer |
| epsilon | tolerance for geometric calculations |
| QgsInvalidArgumentException | same as QgsGeometryUtilsBase::createChamfer |
Definition at line 1314 of file qgsgeometryutils.cpp.
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Creates a complete chamfer geometry connecting two segments.
| segment1Start | start point of first segment |
| segment1End | end point of first segment |
| segment2Start | start point of second segment |
| segment2End | end point of second segment |
| distance1 | chamfer distance along first segment |
| distance2 | chamfer distance along second segment (if negative, uses distance1) |
| QgsInvalidArgumentException | same as QgsGeometryUtilsBase::createChamfer |
Definition at line 1392 of file qgsgeometryutils.cpp.
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Creates a fillet (rounded corner) between two line segments using QgsPoint.
Returns the three fillet arc points (filletPoint1, filletMidPoint, filletPoint2) via output parameters to define a CircularString.
| segment1Start | start point of first segment |
| segment1End | end point of first segment |
| segment2Start | start point of second segment |
| segment2End | end point of second segment |
| radius | fillet radius |
| filletPoint1 | first tangent point of the fillet arc |
| filletMidPoint | midpoint of the fillet arc |
| filletPoint2 | second tangent point of the fillet arc |
| epsilon | tolerance for geometric calculations |
| QgsInvalidArgumentException | |
| QgsInvalidArgumentException | same as QgsGeometryUtilsBase::createFillet |
Definition at line 1340 of file qgsgeometryutils.cpp.
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Convenient method of createFillet using array output.
| QgsInvalidArgumentException | same as QgsGeometryUtilsBase::createFillet |
Definition at line 1378 of file qgsgeometryutils.cpp.
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Creates a complete fillet geometry connecting two segments.
| segment1Start | start point of first segment |
| segment1End | end point of first segment |
| segment2Start | start point of second segment |
| segment2End | end point of second segment |
| radius | fillet radius |
| segments | number of segments for arc discretization (≤0 for circular arc) |
| QgsInvalidArgumentException | same as QgsGeometryUtilsBase::createFillet |
Definition at line 1404 of file qgsgeometryutils.cpp.
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Creates a QgsPoint with dimensions matching a reference point.
| x | x-coordinate for the new point |
| y | y-coordinate for the new point |
| reference | reference point providing dimension information (Z, M) |
Definition at line 1269 of file qgsgeometryutils.cpp.
Returns the 2D distance between two points.
Definition at line 693 of file qgsgeometryutils.h.
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Returns the 2D distance between (x1, y1) and (x2, y2).
Definition at line 688 of file qgsgeometryutils.h.
Returns the 3D distance between two points.
Definition at line 701 of file qgsgeometryutils.h.
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Returns the distance along a geometry from its first vertex to the specified vertex.
| geom | geometry |
| id | vertex id to find distance to |
Definition at line 141 of file qgsgeometryutils.cpp.
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Returns the distance between a point and an infinite line.
| point | The point to find the distance to the line |
| linePoint1 | The first point of the line |
| linePoint2 | The second point of the line |
| epsilon | The tolerance to use |
Definition at line 210 of file qgsgeometryutils.cpp.
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Returns list of linestrings extracted from the passed geometry.
The returned objects have to be deleted by the caller.
Definition at line 38 of file qgsgeometryutils.cpp.
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Applies fillet to a vertex in a curve geometry.
| curve | input curve geometry |
| vertexIndex | index of vertex to fillet |
| radius | fillet radius |
| segments | number of segments for arc discretization (≤0 for circular arc) |
| QgsInvalidArgumentException | same as QgsGeometryUtilsBase::createFillet and when curve is null when curve has not enough points |
Definition at line 1496 of file qgsgeometryutils.cpp.
Returns the gradient of a line defined by points pt1 and pt2.
| pt1 | first point. |
| pt2 | second point. |
Definition at line 1160 of file qgsgeometryutils.cpp.
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Interpolate a value at given angle on circular arc given values (zm1, zm2, zm3) at three different angles (a1, a2, a3).
Definition at line 855 of file qgsgeometryutils.h.
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Interpolates a point on an arc defined by three points, pt1, pt2 and pt3.
The arc will be interpolated by the specified distance from pt1.
Any z or m values present in the points will also be linearly interpolated in the output.
Definition at line 516 of file qgsgeometryutils.cpp.
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Interpolates the position of a point a fraction of the way along the line from p1 to p2.
Usually the fraction should be between 0 and 1, where 0 represents the point at the start of the line (p1) and 1 represents the end of the line (p2). However, it is possible to use a fraction < 0 or > 1, in which case the returned point is extrapolated from the supplied line.
Any Z or M values present in the input points will also be interpolated and present in the returned point.
Definition at line 1134 of file qgsgeometryutils.cpp.
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Interpolates the position of a point a fraction of the way along the line from (x1, y1) to (x2, y2).
Usually the fraction should be between 0 and 1, where 0 represents the point at the start of the line (x1, y1) and 1 represents the end of the line (x2, y2). However, it is possible to use a fraction < 0 or > 1, in which case the returned point is extrapolated from the supplied line.
Definition at line 1144 of file qgsgeometryutils.cpp.
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Interpolates the position of a point along the line from (x1, y1) to (x2, y2).
The position is interpolated using a supplied target value and the value at the start of the line (v1) and end of the line (v2). The returned point will be linearly interpolated to match position corresponding to the target value.
Definition at line 1151 of file qgsgeometryutils.cpp.
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Interpolates a point on a segment with proper Z and M value interpolation.
| x | x-coordinate of the point to interpolate |
| y | y-coordinate of the point to interpolate |
| segmentStart | start point of the segment |
| segmentEnd | end point of the segment |
Definition at line 1281 of file qgsgeometryutils.cpp.
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Returns a value < 0 if the point (x, y) is left of the line from (x1, y1) -> (x2, y2).
A positive return value indicates the point is to the right of the line.
If the return value is 0, then the test was unsuccessful (e.g. due to testing a point exactly on the line, or exactly in line with the segment) and the result is undefined.
Definition at line 726 of file qgsgeometryutils.h.
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Returns a value < 0 if the point point is left of the line from p1 -> p2.
A positive return value indicates the point is to the right of the line.
If the return value is 0, then the test was unsuccessful (e.g. due to testing a point exactly on the line, or exactly in line with the segment) and the result is undefined.
Definition at line 503 of file qgsgeometryutils.cpp.
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Calculates the direction of line joining two points in radians, clockwise from the north direction.
| x1 | x-coordinate of line start |
| y1 | y-coordinate of line start |
| x2 | x-coordinate of line end |
| y2 | y-coordinate of line end |
Definition at line 882 of file qgsgeometryutils.h.
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Compute the intersection of a line and a circle.
If the intersection has two solutions (points), the closest point to the initial intersection point is returned.
| center | the center of the circle |
| radius | the radius of the circle |
| linePoint1 | a first point on the line |
| linePoint2 | a second point on the line |
| intersection | the initial point and the returned intersection point |
true if an intersection has been found Definition at line 226 of file qgsgeometryutils.cpp.
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inlinestatic |
Computes the intersection between two lines.
Z dimension is supported and is retrieved from the first 3D point amongst p1 and p2.
| p1 | Point on the first line |
| v1 | Direction vector of the first line |
| p2 | Point on the second line |
| v2 | Direction vector of the second line |
| intersection | Output parameter, the intersection point |
Definition at line 1220 of file qgsgeometryutils.h.
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inlinestatic |
Calculates the perpendicular angle to a line joining two points.
Returned angle is in radians, clockwise from the north direction.
| x1 | x-coordinate of line start |
| y1 | y-coordinate of line start |
| x2 | x-coordinate of line end |
| y2 | y-coordinate of line end |
Definition at line 916 of file qgsgeometryutils.h.
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inlinestatic |
An algorithm to calculate an (approximate) intersection of two lines in 3D.
| La1 | is the first point on the first line, |
| La2 | is the second point on the first line, |
| Lb1 | is the first point on the second line, |
| Lb2 | is the second point on the second line, |
| intersection | is the result intersection, of it can be found. |
true if the intersection can be found, false - otherwise.Definition at line 1081 of file qgsgeometryutils.h.
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Calculates the maximum allowed fillet radius for the given segment configuration.
| segment1Start | start point of the first segment |
| segment1End | end point of the first segment |
| segment2Start | start point of the second segment |
| segment2End | end point of the second segment |
| epsilon | tolerance for intersection and angle calculations |
Definition at line 1482 of file qgsgeometryutils.cpp.
Returns a middle point between points pt1 and pt2.
Z value is computed if one of this point have Z. M value is computed if one of this point have M.
| pt1 | first point. |
| pt2 | second point. |
Definition at line 1109 of file qgsgeometryutils.cpp.
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Ensures that an angle is in the range 0 <= angle < 2 pi.
| angle | angle in radians |
Definition at line 867 of file qgsgeometryutils.h.
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Create a perpendicular line segment to a given segment [segmentPoint1,segmentPoint2] with its center at centerPoint.
May be used to split geometries. Unless segmentLength is specified the new centered perpendicular line segment will have double the length of the input segment.
The result is a line (segment) centered in point p and perpendicular to segment [segmentPoint1, segmentPoint2].
| centerPointX | x-coordinate of the point where the center of the perpendicular should be located |
| centerPointY | y-coordinate of the point where the center of the perpendicular should be located |
| segmentPoint1x | x-coordinate of segmentPoint1, the segment's start point |
| segmentPoint1y | y-coordinate of segmentPoint1, the segment's start point |
| segmentPoint2x | x-coordinate of segmentPoint2, the segment's end point |
| segmentPoint2y | y-coordinate of segmentPoint2, the segment's end point |
| perpendicularSegmentPoint1x | x-coordinate of the perpendicularCenterSegment's start point |
| perpendicularSegmentPoint1y | y-coordinate of the perpendicularCenterSegment's start point |
| perpendicularSegmentPoint2x | x-coordinate of the perpendicularCenterSegment's end point |
| perpendicularSegmentPoint2y | y-coordinate of the perpendicularCenterSegment's end point |
| segmentLength | (optional) Trims to given length. A segmentLength value of 0 refers to the default length which is double the length of the input segment. Set to 1 for a normalized length. |
Definition at line 997 of file qgsgeometryutils.h.
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inlinestatic |
Calculates a point a certain proportion of the way along the segment from (x1, y1) to (x2, y2), offset from the segment by the specified offset amount.
| x1 | x-coordinate of start of segment |
| y1 | y-coordinate of start of segment |
| x2 | x-coordinate of end of segment |
| y2 | y-coordinate of end of segment |
| proportion | proportion of the segment's length at which to place the point (between 0.0 and 1.0) |
| offset | perpendicular offset from segment to apply to point. A negative offset shifts the point to the left of the segment, while a positive offset will shift it to the right of the segment. |
| x | calculated point x-coordinate |
| y | calculated point y-coordinate |
Definition at line 778 of file qgsgeometryutils.h.
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Create a perpendicular line segment from p to segment [s1, s2].
| p | The point |
| s1 | The segment start point |
| s2 | The segment end point |
Definition at line 1195 of file qgsgeometryutils.cpp.
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Returns true if point b is on the arc formed by points a1, a2, and a3, but not within that arc portion already described by a1, a2 and a3.
The distanceTolerance specifies the maximum deviation allowed between the original location of point and where it would fall on the candidate arc.
This method only consider a segments as continuing an arc if the points are all regularly spaced on the candidate arc. The pointSpacingAngleTolerance parameter specifies the maximum angular deviation (in radians) allowed when testing for regular point spacing.
Definition at line 622 of file qgsgeometryutils.cpp.
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inlinestatic |
Given the line (x1, y1) to (x2, y2) and a point (px, py) returns the fraction of the line length at which the point lies.
Definition at line 1109 of file qgsgeometryutils.h.
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Returns a point a specified distance toward a second point.
Definition at line 508 of file qgsgeometryutils.cpp.
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inlinestatic |
Calculates the point a specified distance from (x1, y1) toward a second point (x2, y2).
Optionally, interpolated z and m values can be obtained by specifying the z1, z2 and z arguments and/or the m1, m2, m arguments.
Definition at line 741 of file qgsgeometryutils.h.
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Checks if three points are collinear within a given tolerance.
This function determines whether the points pt1, pt2, and pt3 lie on the same straight line, considering a numerical tolerance epsilon. The function works only with 2D and 3D points. The measure component (if present) is ignored.
| pt1 | The first point. |
| pt2 | The second point. |
| pt3 | The third point. |
| epsilon | The tolerance used to account for floating-point inaccuracies. |
Definition at line 1743 of file qgsgeometryutils.cpp.
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inlinestatic |
Given the points (x1, y1), (x2, y2) and (x3, y3) returns true if these points can be considered collinear with a specified tolerance epsilon.
Definition at line 1145 of file qgsgeometryutils.h.
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Returns a list of points contained in a WKT string.
Definition at line 823 of file qgsgeometryutils.cpp.
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Returns a gml::coordinates DOM element.
Definition at line 944 of file qgsgeometryutils.cpp.
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Returns a gml::posList DOM element.
Definition at line 971 of file qgsgeometryutils.cpp.
|
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Returns a geoJSON coordinates string.
Definition at line 993 of file qgsgeometryutils.cpp.
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Returns coordinates as json object.
Definition at line 1009 of file qgsgeometryutils.cpp.
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Returns a LinearRing { uint32 numPoints; Point points[numPoints]; }.
Definition at line 898 of file qgsgeometryutils.cpp.
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Returns a WKT coordinate list.
Definition at line 925 of file qgsgeometryutils.cpp.
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inlinestatic |
Project the point on a segment.
| p | The point |
| s1 | The segment start point |
| s2 | The segment end point |
Definition at line 185 of file qgsgeometryutils.h.
|
inlinestatic |
Compute the intersection between two segments.
| p1 | First segment start point |
| p2 | First segment end point |
| q1 | Second segment start point |
| q2 | Second segment end point |
| intersectionPoint | Output parameter, the intersection point |
| isIntersection | Output parameter, return true if an intersection is found |
| tolerance | The tolerance to use |
| acceptImproperIntersection | By default, this method returns true only if segments have proper intersection. If set true, returns also TRUE if segments have improper intersection (end of one segment on other segment ; continuous segments). |
Definition at line 1268 of file qgsgeometryutils.h.
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Convert circular arc defined by p1, p2, p3 (p1/p3 being start resp.
end point, p2 lies on the arc) into a sequence of points.
Definition at line 681 of file qgsgeometryutils.cpp.
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Calculates midpoint on circle passing through p1 and p2, closest to the given coordinate mousePos.
Z dimension is supported and is retrieved from the first 3D point amongst p1 and p2.
Definition at line 541 of file qgsgeometryutils.cpp.
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Calculates the midpoint on the circle passing through p1 and p2, with the specified center coordinate.
If useShortestArc is true, then the midpoint returned will be that corresponding to the shorter arc from p1 to p2. If it is false, the longer arc from p1 to p2 will be used (i.e. winding the other way around the circle).
Definition at line 588 of file qgsgeometryutils.cpp.
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For line defined by points pt1 and pt3, find out on which side of the line is point pt2.
Returns -1 if pt2 on the left side, 1 if pt2 is on the right side or 0 if pt2 lies on the line.
Definition at line 802 of file qgsgeometryutils.cpp.
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Find self intersections in a polyline.
| geom | The geometry to check |
| part | The part of the geometry to check |
| ring | The ring of the geometry part to check |
| tolerance | The tolerance to use |
Definition at line 463 of file qgsgeometryutils.cpp.
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inlinestatic |
A Z dimension is added to point if one of the point in the list points is in 3D.
Moreover, the Z value of point is updated with the first Z value found in list points even if point already contains a Z value.
| points | List of points in which a 3D point is searched. |
| point | The point to update with Z dimension and value. |
true if the point is updated, false otherwiseDefinition at line 462 of file qgsgeometryutils.h.
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inlinestatic |
An algorithm to calculate the shortest distance between two skew lines.
| P1 | is the first point of the first line, |
| P12 | is the second point on the first line, |
| P2 | is the first point on the second line, |
| P22 | is the second point on the second line. |
Definition at line 1017 of file qgsgeometryutils.h.
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inlinestatic |
A method to project one skew line onto another.
| P1 | is a first point that belonds to first skew line, |
| P12 | is the second point that belongs to first skew line, |
| P2 | is the first point that belongs to second skew line, |
| P22 | is the second point that belongs to second skew line, |
| X1 | is the result projection point of line P2P22 onto line P1P12, |
| epsilon | the tolerance to use. |
true if such point exists, false - otherwise.Definition at line 1034 of file qgsgeometryutils.h.
Returns the squared 2D distance between two points.
Definition at line 667 of file qgsgeometryutils.h.
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inlinestatic |
Returns the squared 2D distance between (x1, y1) and (x2, y2).
Definition at line 662 of file qgsgeometryutils.h.
Returns the squared 3D distance between two points.
Definition at line 678 of file qgsgeometryutils.h.
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Returns the squared distance between a point and a line.
Definition at line 712 of file qgsgeometryutils.h.
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Calculates angle of a circular string part defined by pt1, pt2, pt3.
Definition at line 846 of file qgsgeometryutils.h.
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Calculates the tangent points between the circle with the specified center and radius and the point p.
If found, the tangent points will be stored in pt1 and pt2.
Definition at line 358 of file qgsgeometryutils.cpp.
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A M dimension is added to point if one of the points in the list points contains an M value.
Moreover, the M value of point is updated with the first M value found in list points even if point already contains a M value.
| points | List of points in which a M point is searched. |
| point | The point to update with M dimension and value. |
true if the point is updated, false otherwiseDefinition at line 1233 of file qgsgeometryutils.cpp.
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inlinestatic |
A Z or M dimension is added to point if one of the points in the list points contains Z or M value.
This method is equivalent to successively calling Z and M but avoiding looping twice over the set of points.
| geom | geometry in which a M point is searched. |
| point | The point to update with Z or M dimension and value. |
true if the point is updated, false otherwiseDefinition at line 582 of file qgsgeometryutils.h.
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inlinestatic |
A Z or M dimension is added to point if one of the points in the list points contains Z or M value.
This method is equivalent to successively calling Z and M but avoiding looping twice over the set of points.
| points | List of points in which a M point is searched. |
| point | The point to update with Z or M dimension and value. |
true if the point is updated, false otherwiseDefinition at line 561 of file qgsgeometryutils.h.
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inlinestatic |
A Z or M dimension is added to point if one of the points in the list points contains Z or M value.
This method is equivalent to successively calling Z and M but avoiding looping twice over the set of points.
| verticesBegin | begin vertex which a Z or M point is searched. |
| verticesEnd | end vertex which a Z or M point is searched. |
| point | The point to update with Z or M dimension and value. |
true if the point is updated, false otherwiseDefinition at line 519 of file qgsgeometryutils.h.
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A Z dimension is added to point if one of the point in the list points is in 3D.
Moreover, the Z value of point is updated with the first Z value found in list points even if point already contains a Z value.
| points | List of points in which a 3D point is searched. |
| point | The point to update with Z dimension and value. |
true if the point is updated, false otherwiseDefinition at line 1251 of file qgsgeometryutils.cpp.
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inlinestatic |
Returns the area of the triangle denoted by the points (aX, aY), (bX, bY) and (cX, cY).
Definition at line 1095 of file qgsgeometryutils.h.
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Retrieves the vertices which are before and after the interpolated point at a specified distance along a linestring (or polygon boundary).
| geometry | line or polygon geometry |
| distance | distance to traverse along geometry |
| previousVertex | will be set to previous vertex ID |
| nextVertex | will be set to next vertex ID |
true if vertices were successfully retrieved Definition at line 160 of file qgsgeometryutils.cpp.
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inlinestatic |
Returns a weighted point inside the triangle denoted by the points (aX, aY), (bX, bY) and (cX, cY).
| aX | x-coordinate of first vertex in triangle |
| aY | y-coordinate of first vertex in triangle |
| bX | x-coordinate of second vertex in triangle |
| bY | y-coordinate of second vertex in triangle |
| cX | x-coordinate of third vertex in triangle |
| cY | y-coordinate of third vertex in triangle |
| weightB | weighting factor along axis A-B (between 0 and 1) |
| weightC | weighting factor along axis A-C (between 0 and 1) |
| pointX | x-coordinate of generated point |
| pointY | y-coordinate of generated point |
Definition at line 1132 of file qgsgeometryutils.h.
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Parses a WKT string and returns of list of blocks contained in the WKT.
| wkt | WKT string in the format "TYPE1 (contents1), TYPE2 (TYPE3 (contents3), TYPE4 (contents4))" |
| defaultType | default geometry type for children |
Definition at line 1069 of file qgsgeometryutils.cpp.
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Parses a WKT block of the format "TYPE( contents )" and returns a pair of geometry type to contents ("Pair(wkbType, "contents")").
Definition at line 1026 of file qgsgeometryutils.cpp.