Triangle geometry type. More...

#include <qgstriangle.h>

Inheritance diagram for QgsTriangle:

[legend]

Public Member Functions
	QgsTriangle ()
	Constructor for an empty triangle geometry.

	QgsTriangle (const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3)
	Construct a QgsTriangle from three QgsPoint.

	QgsTriangle (const QgsPointXY &p1, const QgsPointXY &p2, const QgsPointXY &p3)
	Construct a QgsTriangle from three QgsPointXY.

	QgsTriangle (QPointF p1, QPointF p2, QPointF p3)
	Construct a QgsTriangle from three QPointF.

void	addInteriorRing (QgsCurve *ring) override
	Inherited method not used. You cannot add an interior ring into a triangle.

QVector< QgsLineString >	altitudes () const
	An altitude is a segment (defined by a QgsLineString) from a vertex to the opposite side (or, if necessary, to the extension of the opposite side).

QVector< double >	angles () const
	Returns the three angles of the triangle.

QDomElement	asGml3 (QDomDocument &doc, int precision=17, const QString &ns="gml", QgsAbstractGeometry::AxisOrder axisOrder=QgsAbstractGeometry::AxisOrder::XY) const override
	Returns a GML3 representation of the geometry.

QVector< QgsLineString >	bisectors (double lengthTolerance=0.0001) const
	The segment (defined by a QgsLineString) returned bisect the angle of a vertex to the opposite side.

QgsCurve *	boundary () const override
	Returns the closure of the combinatorial boundary of the geometry (ie the topological boundary of the geometry).

QgsPoint	circumscribedCenter () const
	Center of the circumscribed circle of the triangle.

QgsCircle	circumscribedCircle () const
	Circumscribed circle of the triangle.

double	circumscribedRadius () const
	Radius of the circumscribed circle of the triangle.

void	clear () override
	Clears the geometry, ie reset it to a null geometry.

QgsTriangle *	clone () const override
	Clones the geometry by performing a deep copy.

QgsTriangle *	createEmptyWithSameType () const override
	Creates a new geometry with the same class and same WKB type as the original and transfers ownership.

bool	deleteVertex (QgsVertexId position) override
	Inherited method not used. You cannot delete or insert a vertex directly. Returns always `false`.

bool	fromWkb (QgsConstWkbPtr &wkbPtr) override
	Sets the geometry from a WKB string.

bool	fromWkt (const QString &wkt) override
	Sets the geometry from a WKT string.

QString	geometryType () const override
	Returns a unique string representing the geometry type.

QgsPoint	inscribedCenter () const
	Center of the inscribed circle of the triangle.

QgsCircle	inscribedCircle () const
	Inscribed circle of the triangle.

double	inscribedRadius () const
	Radius of the inscribed circle of the triangle.

bool	insertVertex (QgsVertexId position, const QgsPoint &vertex) override
	Inherited method not used. You cannot delete or insert a vertex directly. Returns always `false`.

bool	isDegenerate () const
	Convenient method checking if the geometry is degenerate (have duplicate or colinear point(s)).

bool	isEquilateral (double lengthTolerance=0.0001) const
	Is the triangle equilateral (three sides with the same length)?

bool	isIsocele (double lengthTolerance=0.0001) const
	Is the triangle isocele (two sides with the same length)?

bool	isRight (double angleTolerance=0.0001) const
	Is the triangle right-angled?

bool	isScalene (double lengthTolerance=0.0001) const
	Is the triangle scalene (all sides have different lengths)?

QVector< double >	lengths () const
	Returns the three lengths of the triangle.

QgsTriangle	medial () const
	Medial (or midpoint) triangle of a triangle ABC is the triangle with vertices at the midpoints of the triangle's sides.

QVector< QgsLineString >	medians () const
	A median is a segment (defined by a QgsLineString) from a vertex to the midpoint of the opposite side.

bool	moveVertex (QgsVertexId vId, const QgsPoint &newPos) override
	Moves a vertex within the geometry.

bool	operator!= (const QgsAbstractGeometry &other) const override

bool	operator== (const QgsAbstractGeometry &other) const override

QgsPoint	orthocenter (double lengthTolerance=0.0001) const
	An orthocenter is the point of intersection of the altitudes of a triangle.

void	setExteriorRing (QgsCurve *ring) override
	Sets the exterior ring of the polygon.

void	setInteriorRings (const QVector< QgsCurve * > &rings)=delete
	Inherited method not used.

QgsPolygon *	surfaceToPolygon () const override
	Gets a polygon representation of this surface.

QgsCurvePolygon *	toCurveType () const override
	Returns the geometry converted to the more generic curve type QgsCurvePolygon.

QgsPoint	vertexAt (int atVertex) const
	Returns coordinates of a vertex.

Public Member Functions inherited from QgsPolygon
	QgsPolygon ()
	Constructor for an empty polygon geometry.

	QgsPolygon (QgsLineString exterior, const QList< QgsLineString > &rings=QList< QgsLineString * >())
	Constructor for QgsPolygon, with the specified exterior ring and interior rings.

QByteArray	asWkb (QgsAbstractGeometry::WkbFlags flags=QgsAbstractGeometry::WkbFlags()) const override
	Returns a WKB representation of the geometry.

QString	asWkt (int precision=17) const override
	Returns a WKT representation of the geometry.

double	pointDistanceToBoundary (double x, double y) const
	Returns the distance from a point to the boundary of the polygon (either the exterior ring or any closer interior rings).

int	wkbSize (QgsAbstractGeometry::WkbFlags flags=QgsAbstractGeometry::WkbFlags()) const override
	Returns the length of the QByteArray returned by asWkb()

Public Member Functions inherited from QgsCurvePolygon
	QgsCurvePolygon ()

	QgsCurvePolygon (const QgsCurvePolygon &p)

	~QgsCurvePolygon () override

bool	addMValue (double mValue=0) override
	Adds a measure to the geometry, initialized to a preset value.

bool	addZValue (double zValue=0) override
	Adds a z-dimension to the geometry, initialized to a preset value.

void	adjacentVertices (QgsVertexId vertex, QgsVertexId &previousVertex, QgsVertexId &nextVertex) const override
	Returns the vertices adjacent to a specified vertex within a geometry.

double	area () const override
	Returns the planar, 2-dimensional area of the geometry.

QDomElement	asGml2 (QDomDocument &doc, int precision=17, const QString &ns="gml", QgsAbstractGeometry::AxisOrder axisOrder=QgsAbstractGeometry::AxisOrder::XY) const override
	Returns a GML2 representation of the geometry.

json	asJsonObject (int precision=17) const override
	Returns a json object representation of the geometry.

QString	asKml (int precision=17) const override
	Returns a KML representation of the geometry.

QPainterPath	asQPainterPath () const override
	Returns the geometry represented as a QPainterPath.

bool	boundingBoxIntersects (const QgsBox3D &box3d) const override
	Returns `true` if the bounding box of this geometry intersects with a box3d.

double	closestSegment (const QgsPoint &pt, QgsPoint &segmentPt, QgsVertexId &vertexAfter, int leftOf=nullptr, double epsilon=4 std::numeric_limits< double >::epsilon()) const override
	Searches for the closest segment of the geometry to a given point.

QgsCoordinateSequence	coordinateSequence () const override
	Retrieves the sequence of geometries, rings and nodes.

int	dimension () const override
	Returns the inherent dimension of the geometry.

void	draw (QPainter &p) const override
	Draws the geometry using the specified QPainter.

bool	dropMValue () override
	Drops any measure values which exist in the geometry.

bool	dropZValue () override
	Drops any z-dimensions which exist in the geometry.

QgsCurve *	exteriorRing ()
	Returns a non-const pointer to the curve polygon's exterior ring.

const QgsCurve *	exteriorRing () const
	Returns the curve polygon's exterior ring.

void	filterVertices (const std::function< bool(const QgsPoint &) > &filter) override
	Filters the vertices from the geometry in place, removing any which do not return `true` for the filter function check.

void	forceClockwise ()
	Forces the polygon to respect the exterior ring is clockwise, interior rings are counter-clockwise convention.

void	forceCounterClockwise ()
	Forces the polygon to respect the exterior ring is counter-clockwise, interior rings are clockwise convention.

void	forceRHR ()
	Forces the geometry to respect the Right-Hand-Rule, in which the area that is bounded by the polygon is to the right of the boundary.

bool	fuzzyDistanceEqual (const QgsAbstractGeometry &other, double epsilon=1e-8) const override
	Performs fuzzy distance comparison between this geometry and other using an epsilon.

bool	fuzzyEqual (const QgsAbstractGeometry &other, double epsilon=1e-8) const override
	Performs fuzzy comparison between this geometry and other using an epsilon.

bool	hasCurvedSegments () const override
	Returns `true` if the geometry contains curved segments.

QgsCurve *	interiorRing (int i)
	Retrieves an interior ring from the curve polygon.

const QgsCurve *	interiorRing (int i) const
	Retrieves an interior ring from the curve polygon.

bool	isEmpty () const override
	Returns `true` if the geometry is empty.

int	nCoordinates () const override
	Returns the number of nodes contained in the geometry.

bool	nextVertex (QgsVertexId &id, QgsPoint &vertex) const override
	Returns next vertex id and coordinates.

void	normalize () final
	Reorganizes the geometry into a normalized form (or "canonical" form).

int	numInteriorRings () const
	Returns the number of interior rings contained with the curve polygon.

QgsCurvePolygon &	operator= (const QgsCurvePolygon &p)

int	partCount () const override
	Returns count of parts contained in the geometry.

double	perimeter () const override
	Returns the planar, 2-dimensional perimeter of the geometry.

bool	removeDuplicateNodes (double epsilon=4 *std::numeric_limits< double >::epsilon(), bool useZValues=false) override
	Removes duplicate nodes from the geometry, wherever removing the nodes does not result in a degenerate geometry.

bool	removeInteriorRing (int ringIndex)
	Removes an interior ring from the polygon.

void	removeInteriorRings (double minimumAllowedArea=-1)
	Removes the interior rings from the polygon.

void	removeInvalidRings ()
	Removes any interior rings which are not valid from the polygon.

int	ringCount (int part=0) const override
	Returns the number of rings of which this geometry is built.

double	roundness () const
	Returns the roundness of the curve polygon.

QgsAbstractGeometry *	segmentize (double tolerance=M_PI_2/90, SegmentationToleranceType toleranceType=MaximumAngle) const override
	Returns a geometry without curves.

double	segmentLength (QgsVertexId startVertex) const override
	Returns the length of the segment of the geometry which begins at startVertex.

void	setInteriorRings (const QVector< QgsCurve * > &rings)
	Sets all interior rings (takes ownership)

QgsCurvePolygon *	simplifyByDistance (double tolerance) const override
	Simplifies the geometry by applying the Douglas Peucker simplification by distance algorithm.

QgsCurvePolygon *	snappedToGrid (double hSpacing, double vSpacing, double dSpacing=0, double mSpacing=0, bool removeRedundantPoints=false) const override
	Makes a new geometry with all the points or vertices snapped to the closest point of the grid.

void	swapXy () override
	Swaps the x and y coordinates from the geometry.

virtual QgsPolygon *	toPolygon (double tolerance=M_PI_2/90, SegmentationToleranceType toleranceType=MaximumAngle) const
	Returns a new polygon geometry corresponding to a segmentized approximation of the curve.

void	transform (const QgsCoordinateTransform &ct, Qgis::TransformDirection d=Qgis::TransformDirection::Forward, bool transformZ=false) override
	Transforms the geometry using a coordinate transform.

void	transform (const QTransform &t, double zTranslate=0.0, double zScale=1.0, double mTranslate=0.0, double mScale=1.0) override
	Transforms the x and y components of the geometry using a QTransform object t.

bool	transform (QgsAbstractGeometryTransformer transformer, QgsFeedback feedback=nullptr) override
	Transforms the vertices from the geometry in place, using the specified geometry transformer object.

void	transformVertices (const std::function< QgsPoint(const QgsPoint &) > &transform) override
	Transforms the vertices from the geometry in place, applying the transform function to every vertex.

double	vertexAngle (QgsVertexId vertex) const override
	Returns approximate rotation angle for a vertex.

QgsPoint	vertexAt (QgsVertexId id) const override
	Returns the point corresponding to a specified vertex id.

int	vertexCount (int part=0, int ring=0) const override
	Returns the number of vertices of which this geometry is built.

int	vertexNumberFromVertexId (QgsVertexId id) const override
	Returns the vertex number corresponding to a vertex id.

Public Member Functions inherited from QgsSurface
QgsBox3D	boundingBox3D () const override
	Returns the 3D bounding box for the geometry.

bool	isValid (QString &error, Qgis::GeometryValidityFlags flags=Qgis::GeometryValidityFlags()) const override
	Checks validity of the geometry, and returns `true` if the geometry is valid.

Public Member Functions inherited from QgsAbstractGeometry
	QgsAbstractGeometry ()=default

	QgsAbstractGeometry (const QgsAbstractGeometry &geom)

virtual	~QgsAbstractGeometry ()=default

QString	asJson (int precision=17)
	Returns a GeoJSON representation of the geometry as a QString.

virtual QgsRectangle	boundingBox () const
	Returns the minimal bounding box for the geometry.

virtual bool	boundingBoxIntersects (const QgsRectangle &rectangle) const
	Returns `true` if the bounding box of this geometry intersects with a rectangle.

virtual QgsPoint	centroid () const
	Returns the centroid of the geometry.

virtual int	compareTo (const QgsAbstractGeometry *other) const
	Comparator for sorting of geometry.

const_part_iterator	const_parts_begin () const
	Returns STL-style iterator pointing to the const first part of the geometry.

const_part_iterator	const_parts_end () const
	Returns STL-style iterator pointing to the imaginary const part after the last part of the geometry.

virtual bool	convertTo (Qgis::WkbType type)
	Converts the geometry to a specified type.

bool	is3D () const
	Returns `true` if the geometry is 3D and contains a z-value.

bool	isMeasure () const
	Returns `true` if the geometry contains m values.

virtual double	length () const
	Returns the planar, 2-dimensional length of the geometry.

QgsAbstractGeometry &	operator= (const QgsAbstractGeometry &geom)

QgsGeometryPartIterator	parts ()
	Returns Java-style iterator for traversal of parts of the geometry.

QgsGeometryConstPartIterator	parts () const
	Returns Java-style iterator for traversal of parts of the geometry.

part_iterator	parts_begin ()
	Returns STL-style iterator pointing to the first part of the geometry.

part_iterator	parts_end ()
	Returns STL-style iterator pointing to the imaginary part after the last part of the geometry.

virtual const QgsAbstractGeometry *	simplifiedTypeRef () const
	Returns a reference to the simplest lossless representation of this geometry, e.g.

QgsVertexIterator	vertices () const
	Returns a read-only, Java-style iterator for traversal of vertices of all the geometry, including all geometry parts and rings.

vertex_iterator	vertices_begin () const
	Returns STL-style iterator pointing to the first vertex of the geometry.

vertex_iterator	vertices_end () const
	Returns STL-style iterator pointing to the imaginary vertex after the last vertex of the geometry.

Qgis::WkbType	wkbType () const
	Returns the WKB type of the geometry.

QString	wktTypeStr () const
	Returns the WKT type string of the geometry.

Static Public Member Functions
static const QgsTriangle *	cast (const QgsAbstractGeometry *geom)
	Cast the geom to a QgsTriangle.

Static Public Member Functions inherited from QgsPolygon
static const QgsPolygon *	cast (const QgsAbstractGeometry *geom)
	Cast the geom to a QgsPolygonV2.

Static Public Member Functions inherited from QgsCurvePolygon
static const QgsCurvePolygon *	cast (const QgsAbstractGeometry *geom)
	Cast the geom to a QgsCurvePolygon.

Static Public Member Functions inherited from QgsSurface
static const QgsSurface *	cast (const QgsAbstractGeometry *geom)
	Cast the geom to a QgsSurface.

Additional Inherited Members
Public Types inherited from QgsAbstractGeometry
enum	AxisOrder { XY = 0 , YX }
	Axis order for GML generation. More...

enum	SegmentationToleranceType { MaximumAngle = 0 , MaximumDifference }
	Segmentation tolerance as maximum angle or maximum difference between approximation and circle. More...

enum	WkbFlag { FlagExportTrianglesAsPolygons = 1 << 0 , FlagExportNanAsDoubleMin = 1 << 1 }
	WKB export flags. More...

typedef QFlags< WkbFlag >	WkbFlags

Protected Member Functions inherited from QgsCurvePolygon
QgsBox3D	calculateBoundingBox3D () const override
	Calculates the minimal 3D bounding box for the geometry.

int	childCount () const override
	Returns number of child geometries (for geometries with child geometries) or child points (for geometries without child geometries - i.e.

QgsAbstractGeometry *	childGeometry (int index) const override
	Returns pointer to child geometry (for geometries with child geometries - i.e.

int	compareToSameClass (const QgsAbstractGeometry *other) const final
	Compares to an other geometry of the same class, and returns a integer for sorting of the two geometries.

Protected Member Functions inherited from QgsSurface
void	clearCache () const override
	Clears any cached parameters associated with the geometry, e.g., bounding boxes.

Protected Member Functions inherited from QgsAbstractGeometry
virtual QgsRectangle	calculateBoundingBox () const
	Default calculator for the minimal bounding box for the geometry.

virtual QgsPoint	childPoint (int index) const
	Returns point at index (for geometries without child geometries - i.e.

virtual bool	hasChildGeometries () const
	Returns whether the geometry has any child geometries (`false` for point / curve, `true` otherwise)

void	setZMTypeFromSubGeometry (const QgsAbstractGeometry *subggeom, Qgis::WkbType baseGeomType)
	Updates the geometry type based on whether sub geometries contain z or m values.

int	sortIndex () const
	Returns the sort index for the geometry, used in the compareTo() method to compare geometries of different types.

Protected Attributes inherited from QgsCurvePolygon
std::unique_ptr< QgsCurve >	mExteriorRing

QVector< QgsCurve * >	mInteriorRings

Protected Attributes inherited from QgsSurface
QgsBox3D	mBoundingBox

bool	mHasCachedValidity = false

QString	mValidityFailureReason

Protected Attributes inherited from QgsAbstractGeometry
Qgis::WkbType	mWkbType = Qgis::WkbType::Unknown

Detailed Description

Triangle geometry type.

Definition at line 32 of file qgstriangle.h.

Constructor & Destructor Documentation

◆ QgsTriangle() [1/4]

QgsTriangle::QgsTriangle ( )

Constructor for an empty triangle geometry.

Definition at line 25 of file qgstriangle.cpp.

◆ QgsTriangle() [2/4]

QgsTriangle::QgsTriangle	(	const QgsPoint &	p1,
		const QgsPoint &	p2,
		const QgsPoint &	p3
	)

Construct a QgsTriangle from three QgsPoint.

Parameters

p1	first point
p2	second point
p3	third point

Definition at line 30 of file qgstriangle.cpp.

◆ QgsTriangle() [3/4]

QgsTriangle::QgsTriangle	(	const QgsPointXY &	p1,
		const QgsPointXY &	p2,
		const QgsPointXY &	p3
	)

explicit

Construct a QgsTriangle from three QgsPointXY.

Parameters

p1	first point
p2	second point
p3	third point

Definition at line 49 of file qgstriangle.cpp.

◆ QgsTriangle() [4/4]

QgsTriangle::QgsTriangle	(	QPointF	p1,
		QPointF	p2,
		QPointF	p3
	)

explicit

Construct a QgsTriangle from three QPointF.

Parameters

p1	first point
p2	second point
p3	third point

Definition at line 59 of file qgstriangle.cpp.

Member Function Documentation

◆ addInteriorRing()

void QgsTriangle::addInteriorRing ( QgsCurve * ring )

overridevirtual

Inherited method not used. You cannot add an interior ring into a triangle.

Reimplemented from QgsPolygon.

Definition at line 260 of file qgstriangle.cpp.

◆ altitudes()

QVector< QgsLineString > QgsTriangle::altitudes ( ) const

An altitude is a segment (defined by a QgsLineString) from a vertex to the opposite side (or, if necessary, to the extension of the opposite side).

Returns: Three altitudes from this triangle. An empty list is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
[alt.asWkt() for alt in tri.altitudes()]
# ['LineString (0 0, 0 5)', 'LineString (0 5, 2.5 2.5)', 'LineString (5 5, 0 5)']
QgsTriangle().altitudes()
# []

Definition at line 470 of file qgstriangle.cpp.

◆ angles()

QVector< double > QgsTriangle::angles ( ) const

Returns the three angles of the triangle.

Returns: Angles in radians of triangle ABC where angle BAC is at 0, angle ABC is at 1, angle BCA is at 2. An empty list is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
[math.degrees(i) for i in tri.angles()]
# [45.0, 90.0, 45.0]
QgsTriangle().angles()
# []

Definition at line 386 of file qgstriangle.cpp.

◆ asGml3()

QDomElement QgsTriangle::asGml3	(	QDomDocument &	doc,
		int	precision = `17`,
		const QString &	ns = `"gml"`,
		QgsAbstractGeometry::AxisOrder	axisOrder = `QgsAbstractGeometry::AxisOrder::XY`
	)		const

overridevirtual

Returns a GML3 representation of the geometry.

Parameters

doc	DOM document
precision	number of decimal places for coordinates
ns	XML namespace
axisOrder	Axis order for generated GML

See also: asWkb(); asWkt(); asGml2(); asJson()

Reimplemented from QgsCurvePolygon.

Definition at line 227 of file qgstriangle.cpp.

◆ bisectors()

QVector< QgsLineString > QgsTriangle::bisectors ( double lengthTolerance = 0.0001 ) const

The segment (defined by a QgsLineString) returned bisect the angle of a vertex to the opposite side.

Parameters

lengthTolerance The tolerance to use.

Returns: Three angle bisector from this triangle. An empty list is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
[bis.asWkt() for bis in tri.bisectors()]
# ['LineString (0 0, 2.07106781186547462 5)', 'LineString (0 5, 2.5 2.5)', 'LineString (5 5, 0 2.92893218813452538)']
QgsTriangle().bisectors()
# []

Definition at line 502 of file qgstriangle.cpp.

◆ boundary()

QgsCurve * QgsTriangle::boundary ( ) const

overridevirtual

Returns the closure of the combinatorial boundary of the geometry (ie the topological boundary of the geometry).

For instance, a polygon geometry will have a boundary consisting of the linestrings for each ring in the polygon.

Returns: boundary for geometry. May be nullptr for some geometry types.

Reimplemented from QgsPolygon.

Definition at line 356 of file qgstriangle.cpp.

◆ cast()

static const QgsTriangle * QgsTriangle::cast ( const QgsAbstractGeometry * geom )

inlinestatic

Cast the geom to a QgsTriangle.

Should be used by qgsgeometry_cast<QgsTriangle *>( geometry ).

Note: Not available in Python. Objects will be automatically be converted to the appropriate target type.

Definition at line 455 of file qgstriangle.h.

◆ circumscribedCenter()

QgsPoint QgsTriangle::circumscribedCenter ( ) const

Center of the circumscribed circle of the triangle.

Returns: The center of the circumscribed circle of the triangle. An empty point is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.circumscribedCenter().asWkt()
# 'Point (2.5 2.5)'
QgsTriangle().circumscribedCenter().asWkt()
# 'Point (0 0)'

Definition at line 554 of file qgstriangle.cpp.

◆ circumscribedCircle()

QgsCircle QgsTriangle::circumscribedCircle ( ) const

Circumscribed circle of the triangle.

Returns: The circumbscribed of the triangle with a QgsCircle. An empty circle is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.circumscribedCircle()
# QgsCircle(Point (2.5 2.5), 3.5355339059327378, 0)
QgsTriangle().circumscribedCircle()
# QgsCircle()

Definition at line 572 of file qgstriangle.cpp.

◆ circumscribedRadius()

double QgsTriangle::circumscribedRadius ( ) const

Radius of the circumscribed circle of the triangle.

Returns: The radius of the circumscribed circle of the triangle. 0.0 is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.circumscribedRadius()
# 3.5355339059327378
QgsTriangle().circumscribedRadius()
# 0.0

Definition at line 563 of file qgstriangle.cpp.

◆ clear()

void QgsTriangle::clear ( )

overridevirtual

Clears the geometry, ie reset it to a null geometry.

Reimplemented from QgsPolygon.

Definition at line 106 of file qgstriangle.cpp.

◆ clone()

QgsTriangle * QgsTriangle::clone ( ) const

overridevirtual

Clones the geometry by performing a deep copy.

Reimplemented from QgsPolygon.

Definition at line 112 of file qgstriangle.cpp.

◆ createEmptyWithSameType()

QgsTriangle * QgsTriangle::createEmptyWithSameType ( ) const

overridevirtual

Creates a new geometry with the same class and same WKB type as the original and transfers ownership.

To create it, the geometry is default constructed and then the WKB is changed.

See also: clone()

Reimplemented from QgsPolygon.

Definition at line 99 of file qgstriangle.cpp.

◆ deleteVertex()

bool QgsTriangle::deleteVertex ( QgsVertexId position )

overridevirtual

Inherited method not used. You cannot delete or insert a vertex directly. Returns always false.

Reimplemented from QgsCurvePolygon.

Definition at line 265 of file qgstriangle.cpp.

◆ fromWkb()

bool QgsTriangle::fromWkb ( QgsConstWkbPtr & wkb )

overridevirtual

Sets the geometry from a WKB string.

After successful read the wkb argument will be at the position where the reading has stopped.

See also: fromWkt

Reimplemented from QgsPolygon.

Definition at line 117 of file qgstriangle.cpp.

◆ fromWkt()

bool QgsTriangle::fromWkt ( const QString & wkt )

overridevirtual

Sets the geometry from a WKT string.

See also: fromWkb

Reimplemented from QgsCurvePolygon.

Definition at line 163 of file qgstriangle.cpp.

◆ geometryType()

QString QgsTriangle::geometryType ( ) const

overridevirtual

Returns a unique string representing the geometry type.

See also: wkbType; wktTypeStr

Reimplemented from QgsPolygon.

Definition at line 94 of file qgstriangle.cpp.

◆ inscribedCenter()

QgsPoint QgsTriangle::inscribedCenter ( ) const

Center of the inscribed circle of the triangle.

Z dimension is supported and is retrieved from the first 3D point amongst vertices.

Returns: The center of the inscribed circle of the triangle. An empty point is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.inscribedCenter().asWkt()
# 'Point (1.46446609406726225 3.53553390593273775)'
QgsTriangle().inscribedCenter().asWkt()
# 'Point (0 0)'

Definition at line 579 of file qgstriangle.cpp.

◆ inscribedCircle()

QgsCircle QgsTriangle::inscribedCircle ( ) const

Inscribed circle of the triangle.

Returns: The inscribed of the triangle with a QgsCircle. An empty circle is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.inscribedCircle()
# QgsCircle(Point (1.46446609406726225 3.53553390593273775), 1.4644660940672622, 0)
QgsTriangle().inscribedCircle()
# QgsCircle()

Definition at line 608 of file qgstriangle.cpp.

◆ inscribedRadius()

double QgsTriangle::inscribedRadius ( ) const

Radius of the inscribed circle of the triangle.

Returns: The radius of the inscribed circle of the triangle. 0.0 is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.inscribedRadius()
# 1.4644660940672622
QgsTriangle().inscribedRadius()
# 0.0

Definition at line 601 of file qgstriangle.cpp.

◆ insertVertex()

bool QgsTriangle::insertVertex	(	QgsVertexId	position,
		const QgsPoint &	vertex
	)

overridevirtual

Inherited method not used. You cannot delete or insert a vertex directly. Returns always false.

Reimplemented from QgsCurvePolygon.

Definition at line 271 of file qgstriangle.cpp.

◆ isDegenerate()

bool QgsTriangle::isDegenerate ( ) const

Convenient method checking if the geometry is degenerate (have duplicate or colinear point(s)).

Returns: true if the triangle is degenerate or empty, otherwise false.

Example

tri = QgsTriangle()
tri.isDegenerate()
# True
tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.isDegenerate()
# False
tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 5, 5 ), QgsPoint( 10, 10 ) )
tri.isDegenerate()
# True
tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 0 ), QgsPoint( 5, 5 ) )
tri.isDegenerate()
# True

Definition at line 413 of file qgstriangle.cpp.

◆ isEquilateral()

bool QgsTriangle::isEquilateral ( double lengthTolerance = 0.0001 ) const

Is the triangle equilateral (three sides with the same length)?

Parameters

lengthTolerance The tolerance to use

Returns: true or false. Always FALSE for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 10, 10 ), QgsPoint( 16, 10 ), QgsPoint( 13, 15.1962 ) )
tri.lengths()
# [6.0, 6.0000412031918575, 6.0000412031918575]
tri.isEquilateral()
# True
# All lengths are close to 6.0
QgsTriangle().isEquilateral()
# False

Definition at line 436 of file qgstriangle.cpp.

◆ isIsocele()

bool QgsTriangle::isIsocele ( double lengthTolerance = 0.0001 ) const

Is the triangle isocele (two sides with the same length)?

Parameters

lengthTolerance The tolerance to use

Returns: true or false. Always FALSE for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.lengths()
# [5.0, 5.0, 7.0710678118654755]
tri.isIsocele()
# True
# length of [AB] == length of [BC]
QgsTriangle().isIsocele()
# False

Definition at line 424 of file qgstriangle.cpp.

◆ isRight()

bool QgsTriangle::isRight ( double angleTolerance = 0.0001 ) const

Is the triangle right-angled?

Parameters

angleTolerance The tolerance to use

Returns: true or false. Always FALSE for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
[math.degrees(i) for i in tri.angles()]
# [45.0, 90.0, 45.0]
tri.isRight()
# True
# angle of ABC == 90
QgsTriangle().isRight()
# False

Definition at line 448 of file qgstriangle.cpp.

◆ isScalene()

bool QgsTriangle::isScalene ( double lengthTolerance = 0.0001 ) const

Is the triangle scalene (all sides have different lengths)?

Parameters

lengthTolerance The tolerance to use

Returns: true or false. Always FALSE for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 7.2825, 4.2368 ), QgsPoint( 13.0058, 3.3218 ), QgsPoint( 9.2145, 6.5242 ) )
tri.lengths()
# [5.795980321740233, 4.962793714229921, 2.994131386562721]
tri.isScalene()
# True
# All lengths are different
QgsTriangle().isScalene()
# False

Definition at line 463 of file qgstriangle.cpp.

◆ lengths()

QVector< double > QgsTriangle::lengths ( ) const

Returns the three lengths of the triangle.

Returns: Lengths of triangle ABC where [AB] is at 0, [BC] is at 1, [CA] is at 2. An empty list is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.lengths()
# [5.0, 5.0, 7.0710678118654755]
QgsTriangle().lengths()
# []

Definition at line 373 of file qgstriangle.cpp.

◆ medial()

QgsTriangle QgsTriangle::medial ( ) const

Medial (or midpoint) triangle of a triangle ABC is the triangle with vertices at the midpoints of the triangle's sides.

Returns: The medial from this triangle. An empty triangle is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.medial().asWkt()
# 'Triangle ((0 2.5, 2.5 5, 2.5 2.5, 0 2.5))'
QgsTriangle().medial().asWkt()
# 'Triangle ( )'

Definition at line 531 of file qgstriangle.cpp.

◆ medians()

QVector< QgsLineString > QgsTriangle::medians ( ) const

A median is a segment (defined by a QgsLineString) from a vertex to the midpoint of the opposite side.

Returns: Three medians from this triangle. An empty list is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
[med.asWkt() for med in tri.medians()]
# ['LineString (0 0, 2.5 5)', 'LineString (0 5, 2.5 2.5)', 'LineString (5 5, 0 2.5)']
QgsTriangle().medians()
# []

Definition at line 483 of file qgstriangle.cpp.

◆ moveVertex()

bool QgsTriangle::moveVertex	(	QgsVertexId	position,
		const QgsPoint &	newPos
	)

overridevirtual

Moves a vertex within the geometry.

Parameters

position	vertex id for vertex to move
newPos	new position of vertex

Returns: true if move was successful

See also: insertVertex; deleteVertex

Reimplemented from QgsCurvePolygon.

Definition at line 278 of file qgstriangle.cpp.

◆ operator!=()

bool QgsTriangle::operator!= ( const QgsAbstractGeometry & other ) const

overridevirtual

Reimplemented from QgsCurvePolygon.

Definition at line 89 of file qgstriangle.cpp.

◆ operator==()

bool QgsTriangle::operator== ( const QgsAbstractGeometry & other ) const

overridevirtual

Reimplemented from QgsCurvePolygon.

Definition at line 69 of file qgstriangle.cpp.

◆ orthocenter()

QgsPoint QgsTriangle::orthocenter ( double lengthTolerance = 0.0001 ) const

An orthocenter is the point of intersection of the altitudes of a triangle.

Parameters

lengthTolerance The tolerance to use

Returns: The orthocenter of the triangle. An empty point is returned for empty triangle.

Example

tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
tri.orthocenter().asWkt()
# 'Point (0 5)'
QgsTriangle().orthocenter().asWkt()
# 'Point (0 0)'

Definition at line 542 of file qgstriangle.cpp.

◆ setExteriorRing()

void QgsTriangle::setExteriorRing ( QgsCurve * ring )

overridevirtual

Sets the exterior ring of the polygon.

The CurvePolygon type will be updated to match the dimensionality of the exterior ring. For instance, setting a 2D exterior ring on a 3D CurvePolygon will drop the z dimension from the CurvePolygon and all interior rings.

Parameters

ring	new exterior ring. Ownership is transferred to the CurvePolygon.

See also: setInteriorRings(); exteriorRing()

Reimplemented from QgsPolygon.

Definition at line 305 of file qgstriangle.cpp.

◆ setInteriorRings()

void QgsTriangle::setInteriorRings ( const QVector< QgsCurve * > & rings )

delete

Inherited method not used.

You cannot add an interior ring into a triangle.

Note: not available in Python bindings

◆ surfaceToPolygon()

QgsPolygon * QgsTriangle::surfaceToPolygon ( ) const

overridevirtual

Gets a polygon representation of this surface.

Ownership is transferred to the caller.

Reimplemented from QgsPolygon.

Definition at line 247 of file qgstriangle.cpp.

◆ toCurveType()

QgsCurvePolygon * QgsTriangle::toCurveType ( ) const

overridevirtual

Returns the geometry converted to the more generic curve type QgsCurvePolygon.

Returns: the converted geometry. Caller takes ownership

Reimplemented from QgsPolygon.

Definition at line 252 of file qgstriangle.cpp.

◆ vertexAt()

QgsPoint QgsTriangle::vertexAt ( int atVertex ) const

Returns coordinates of a vertex.

Parameters

atVertex index of the vertex

Returns: Coordinates of the vertex or empty QgsPoint on error (atVertex < 0 or > 3).

Definition at line 364 of file qgstriangle.cpp.

The documentation for this class was generated from the following files:

/build/qgis-3.41.0+git20241122+3440c17df1d+99sid/src/core/geometry/qgstriangle.h
/build/qgis-3.41.0+git20241122+3440c17df1d+99sid/src/core/geometry/qgstriangle.cpp

Public Member Functions

Static Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ QgsTriangle() [1/4]

◆ QgsTriangle() [2/4]

◆ QgsTriangle() [3/4]

◆ QgsTriangle() [4/4]

Member Function Documentation

◆ addInteriorRing()

◆ altitudes()

Example

◆ angles()

Example

◆ asGml3()

◆ bisectors()

Example

◆ boundary()

◆ cast()

◆ circumscribedCenter()

Example

◆ circumscribedCircle()

Example

◆ circumscribedRadius()

Example

◆ clear()

◆ clone()

◆ createEmptyWithSameType()

◆ deleteVertex()

◆ fromWkb()

◆ fromWkt()

◆ geometryType()

◆ inscribedCenter()

Example

◆ inscribedCircle()

Example

◆ inscribedRadius()

Example

◆ insertVertex()

◆ isDegenerate()

Example

◆ isEquilateral()

Example

◆ isIsocele()

Example

◆ isRight()

Example

◆ isScalene()

Example

◆ lengths()

Example

◆ medial()

Example

◆ medians()

Example

◆ moveVertex()

◆ operator!=()

◆ operator==()

◆ orthocenter()

Example

◆ setExteriorRing()

◆ setInteriorRings()

◆ surfaceToPolygon()

◆ toCurveType()

◆ vertexAt()