QgsTriangle Class Reference

Triangle geometry type. More...

`#include <qgstriangle.h>`

Inheritance diagram for QgsTriangle: [legend]

## Public Member Functions

QgsTriangle ()

QgsTriangle (const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3)
Construct a QgsTriangle from three QgsPointV2. More...

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

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

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

QVector< QgsLineStringaltitudes () 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). More...

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

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. More...

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

QgsCurveboundary () const override
Returns the closure of the combinatorial boundary of the geometry (ie the topological boundary of the geometry). More...

const QgsTrianglecast (const QgsAbstractGeometry *geom) const
Cast the geom to a QgsTriangle. More...

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

QgsCircle circumscribedCircle () const
Circumscribed circle of the triangle. More...

Radius of the circumscribed circle of the triangle. More...

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

QgsTriangleclone () const override
Clones the geometry by performing a deep copy. More...

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

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

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

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

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

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

QgsCircle inscribedCircle () const
Inscribed circle of the triangle. More...

Radius of the inscribed circle of the triangle. More...

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

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

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

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

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

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

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

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

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

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

bool operator!= (const QgsTriangle &other) const

bool operator== (const QgsTriangle &other) const

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

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

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

QgsPolygonsurfaceToPolygon () const override
Gets a polygon representation of this surface. More...

QgsCurvePolygontoCurveType () const override
Returns the geometry converted to the more generic curve type QgsCurvePolygon. More...

QgsPoint vertexAt (int atVertex) const
Returns coordinates of a vertex. More... Public Member Functions inherited from QgsPolygon
QgsPolygon ()

QByteArray asWkb () const override
Returns a WKB representation of the geometry. More...

const QgsPolygoncast (const QgsAbstractGeometry *geom) const
Cast the geom to a QgsPolygonV2. More...

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). More... Public Member Functions inherited from QgsCurvePolygon
QgsCurvePolygon ()

QgsCurvePolygon (const QgsCurvePolygon &p)

~QgsCurvePolygon () override

Adds a measure to the geometry, initialized to a preset value. More...

Adds a z-dimension to the geometry, initialized to a preset value. More...

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

double area () const override
Returns the area of the geometry. More...

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. More...

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

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

const QgsCurvePolygoncast (const QgsAbstractGeometry *geom) const
Cast the geom to a QgsCurvePolygon. More...

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. More...

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

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

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

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

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

const QgsCurveexteriorRing () const
Returns the curve polygon's exterior ring. More...

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. More...

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. More...

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

const QgsCurveinteriorRing (int i) const
Retrieves an interior ring from the curve polygon. More...

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

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

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

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

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

QgsCurvePolygonoperator= (const QgsCurvePolygon &p)

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

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

double perimeter () const override
Returns the perimeter of the geometry. More...

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. More...

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

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

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

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

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

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

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

QgsCurvePolygonsnappedToGrid (double hSpacing, double vSpacing, double dSpacing=0, double mSpacing=0) const override
Makes a new geometry with all the points or vertices snapped to the closest point of the grid. More...

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

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

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

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. More...

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. More...

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

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

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

int vertexNumberFromVertexId (QgsVertexId id) const override
Returns the vertex number corresponding to a vertex id. More... Public Member Functions inherited from QgsSurface
QgsRectangle boundingBox () const override
Returns the minimal bounding box for the geometry. More...

const QgsSurfacecast (const QgsAbstractGeometry *geom) const
Cast the geom to a QgsSurface. More... Public Member Functions inherited from QgsAbstractGeometry
QgsAbstractGeometry ()=default
Constructor for QgsAbstractGeometry. More...

QgsAbstractGeometry (const QgsAbstractGeometry &geom)

virtual ~QgsAbstractGeometry ()=default

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

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

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

virtual bool convertTo (QgsWkbTypes::Type type)
Converts the geometry to a specified type. More...

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

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

virtual double length () const
Returns the length of the geometry. More...

QgsAbstractGeometryoperator= (const QgsAbstractGeometry &geom)

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

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

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

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

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

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

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

QgsWkbTypes::Type wkbType () const
Returns the WKB type of the geometry. More...

QString wktTypeStr () const
Returns the WKT type string of the geometry. More... 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... Protected Member Functions inherited from QgsCurvePolygon
QgsRectangle calculateBoundingBox () const override
Default calculator for the minimal bounding box for the geometry. More...

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

QgsAbstractGeometrychildGeometry (int index) const override
Returns pointer to child geometry (for geometries with child geometries - i.e. More... Protected Member Functions inherited from QgsSurface
void clearCache () const override
Clears any cached parameters associated with the geometry, e.g., bounding boxes. More... Protected Member Functions inherited from QgsAbstractGeometry
virtual QgsPoint childPoint (int index) const
Returns point at index (for geometries without child geometries - i.e. More...

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

void setZMTypeFromSubGeometry (const QgsAbstractGeometry *subggeom, QgsWkbTypes::Type baseGeomType)
Updates the geometry type based on whether sub geometries contain z or m values. More... Protected Attributes inherited from QgsCurvePolygon
std::unique_ptr< QgsCurvemExteriorRing

QVector< QgsCurve * > mInteriorRings Protected Attributes inherited from QgsSurface
QgsRectangle mBoundingBox Protected Attributes inherited from QgsAbstractGeometry
QgsWkbTypes::Type mWkbType = QgsWkbTypes::Unknown

## Detailed Description

Triangle geometry type.

Since
QGIS 3.0

Definition at line 33 of file qgstriangle.h.

## Constructor & Destructor Documentation

 QgsTriangle::QgsTriangle ( )

Definition at line 25 of file qgstriangle.cpp.

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

Construct a QgsTriangle from three QgsPointV2.

Parameters
 p1 first point p2 second point p3 third point

Definition at line 30 of file qgstriangle.cpp.

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

Construct a QgsTriangle from three QgsPoint.

Parameters
 p1 first point p2 second point p3 third point

Definition at line 41 of file qgstriangle.cpp.

 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 53 of file qgstriangle.cpp.

## Member Function Documentation

 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 247 of file qgstriangle.cpp.

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

Definition at line 455 of file qgstriangle.cpp.

 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.

Definition at line 373 of file qgstriangle.cpp.

 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
asWkb()
asWkt()
asGml2()
asJson()

Reimplemented from QgsCurvePolygon.

Definition at line 214 of file qgstriangle.cpp.

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

Definition at line 487 of file qgstriangle.cpp.

 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 null for some geometry types.
Since
QGIS 3.0

Reimplemented from QgsPolygon.

Definition at line 343 of file qgstriangle.cpp.

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

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.
Since
QGIS 3.0

Definition at line 408 of file qgstriangle.h.

 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.

Definition at line 539 of file qgstriangle.cpp.

 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:
1 tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
2 tri.circumscribedCircle()
3 # QgsCircle(Point (2.5 2.5), 3.5355339059327378, 0)
4 QgsTriangle().circumscribedCircle()
5 # QgsCircle()

Definition at line 557 of file qgstriangle.cpp.

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.

Definition at line 548 of file qgstriangle.cpp.

 void QgsTriangle::clear ( )
overridevirtual

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

Reimplemented from QgsPolygon.

Definition at line 99 of file qgstriangle.cpp.

 QgsTriangle * QgsTriangle::clone ( ) const
overridevirtual

Clones the geometry by performing a deep copy.

Reimplemented from QgsPolygon.

Definition at line 105 of file qgstriangle.cpp.

 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.

clone()
Since
3.0

Reimplemented from QgsPolygon.

Definition at line 92 of file qgstriangle.cpp.

 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 252 of file qgstriangle.cpp.

 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.

fromWkt

Reimplemented from QgsPolygon.

Definition at line 110 of file qgstriangle.cpp.

 bool QgsTriangle::fromWkt ( const QString & wkt )
overridevirtual

Sets the geometry from a WKT string.

fromWkb

Reimplemented from QgsCurvePolygon.

Definition at line 156 of file qgstriangle.cpp.

 QString QgsTriangle::geometryType ( ) const
overridevirtual

Returns a unique string representing the geometry type.

wkbType
wktTypeStr

Reimplemented from QgsPolygon.

Definition at line 87 of file qgstriangle.cpp.

 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:
1 tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
2 tri.inscribedCenter().asWkt()
3 # 'Point (1.46446609406726225 3.53553390593273775)'
4 QgsTriangle().inscribedCenter().asWkt()
5 # 'Point (0 0)'

Definition at line 564 of file qgstriangle.cpp.

 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:
1 tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
2 tri.inscribedCircle()
3 # QgsCircle(Point (1.46446609406726225 3.53553390593273775), 1.4644660940672622, 0)
4 QgsTriangle().inscribedCircle()
5 # QgsCircle()

Definition at line 593 of file qgstriangle.cpp.

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.

Definition at line 586 of file qgstriangle.cpp.

 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 258 of file qgstriangle.cpp.

 bool QgsTriangle::isDegenerate ( )

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:
1 tri = QgsTriangle()
2 tri.isDegenerate()
3 # True
4 tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
5 tri.isDegenerate()
6 # False
7 tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 5, 5 ), QgsPoint( 10, 10 ) )
8 tri.isDegenerate()
9 # True
10 tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 0 ), QgsPoint( 5, 5 ) )
11 tri.isDegenerate()
12 # True

Definition at line 398 of file qgstriangle.cpp.

 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:
1 tri = QgsTriangle( QgsPoint( 10, 10 ), QgsPoint( 16, 10 ), QgsPoint( 13, 15.1962 ) )
2 tri.lengths()
3 # [6.0, 6.0000412031918575, 6.0000412031918575]
4 tri.isEquilateral()
5 # True
6 # All lengths are close to 6.0
7 QgsTriangle().isEquilateral()
8 # False

Definition at line 421 of file qgstriangle.cpp.

 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:
1 tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
2 tri.lengths()
3 # [5.0, 5.0, 7.0710678118654755]
4 tri.isIsocele()
5 # True
6 # length of [AB] == length of [BC]
7 QgsTriangle().isIsocele()
8 # False

Definition at line 409 of file qgstriangle.cpp.

 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:
1 tri = QgsTriangle( QgsPoint( 0, 0 ), QgsPoint( 0, 5 ), QgsPoint( 5, 5 ) )
2 [math.degrees(i) for i in tri.angles()]
3 # [45.0, 90.0, 45.0]
4 tri.isRight()
5 # True
6 # angle of ABC == 90
7 QgsTriangle().isRight()
8 # False

Definition at line 433 of file qgstriangle.cpp.

 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:
1 tri = QgsTriangle( QgsPoint( 7.2825, 4.2368 ), QgsPoint( 13.0058, 3.3218 ), QgsPoint( 9.2145, 6.5242 ) )
2 tri.lengths()
3 # [5.795980321740233, 4.962793714229921, 2.994131386562721]
4 tri.isScalene()
5 # True
6 # All lengths are different
7 QgsTriangle().isScalene()
8 # False

Definition at line 448 of file qgstriangle.cpp.

 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.

Definition at line 360 of file qgstriangle.cpp.

 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.

Definition at line 516 of file qgstriangle.cpp.

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

Definition at line 468 of file qgstriangle.cpp.

 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
insertVertex
deleteVertex

Reimplemented from QgsCurvePolygon.

Definition at line 265 of file qgstriangle.cpp.

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

Definition at line 82 of file qgstriangle.cpp.

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

Definition at line 65 of file qgstriangle.cpp.

 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.

Definition at line 527 of file qgstriangle.cpp.

 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.
setInteriorRings()
exteriorRing()

Reimplemented from QgsPolygon.

Definition at line 292 of file qgstriangle.cpp.

 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
 QgsPolygon * QgsTriangle::surfaceToPolygon ( ) const
overridevirtual

Gets a polygon representation of this surface.

Ownership is transferred to the caller.

Reimplemented from QgsPolygon.

Definition at line 234 of file qgstriangle.cpp.

 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 239 of file qgstriangle.cpp.

 QgsPoint QgsTriangle::vertexAt ( int atVertex ) const

Returns coordinates of a vertex.

Parameters
 atVertex index of the vertex
Returns
Coordinates of the vertex or QgsPoint(0,0) on error (atVertex < 0 or > 3).

Definition at line 351 of file qgstriangle.cpp.

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