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RTriangle Class Reference

Low-level mathematical representation of a triangle. More...

#include <RTriangle.h>

Inheritance diagram for RTriangle:
RShape RExplodable

List of all members.

Public Member Functions

virtual RTriangleclone () const
virtual bool flipHorizontal ()
virtual bool flipVertical ()
virtual RBox getBoundingBox () const
virtual QList< RVectorgetCenterPoints () const
RVector getCorner (int i) const
double getD () const
virtual double getDistanceTo (const RVector &point, bool limited=true, double strictRange=RMAXDOUBLE) const
virtual QList< RVectorgetEndPoints () const
virtual QList< QSharedPointer
< RShape > > 
getExploded (int segments=RDEFAULT_MIN1) const
virtual double getLength () const
virtual QList< RVectorgetMiddlePoints () const
virtual RVector getNormal () const
virtual QList< RVectorgetPointsWithDistanceToEnd (double distance, RS::From from=RS::FromAny) const
QSharedPointer< RShapegetTransformed (const QTransform &transform) const
virtual RVector getVectorTo (const RVector &point, bool limited=true, double strictRange=RMAXDOUBLE) const
bool isPointInQuadrant (const RVector &p) const
bool isPointInTriangle (const RVector &p, bool treatAsQuadrant=false) const
virtual bool mirror (const RLine &axis)
virtual bool move (const RVector &offset)
virtual bool rotate (double rotation, const RVector &center=RDEFAULT_RVECTOR)
 RTriangle ()
 Copyright (c) 2011-2013 by Andrew Mustun.
 RTriangle (const RVector &p1, const RVector &p2, const RVector &p3)
 Creates a triangle with the given corners.
virtual bool scale (const RVector &scaleFactors, const RVector &center=RVector())
void setCorner (int i, const RVector &p)
virtual void to2D ()
 Flattens this shape to the X/Y plane.
virtual ~RTriangle ()
- Public Member Functions inherited from RShape
void dump ()
virtual QList< RVectorfilterOnShape (const QList< RVector > &pointList, bool limited=true, double tolerance=RDEFAULT_TOLERANCE_1E_MIN4) const
virtual RVector getClosestPointOnShape (const RVector &p, bool limited=true, double strictRange=RMAXDOUBLE) const
QList< RVectorgetIntersectionPoints (const RShape &other, bool limited=true, bool same=false, bool force=false) const
virtual RVector getPointAtPercent (double p) const
virtual RVector getVectorFromEndpointTo (const RVector &point) const
virtual bool intersectsWith (const RShape &other, bool limited=true) const
virtual bool isInterpolated () const
 Reimplement and return true if this shape relies on interpolation for geometrical operations such as finding intersection points.
virtual bool isOnShape (const RVector &point, bool limited=true, double tolerance=RDEFAULT_TOLERANCE_1E_MIN4) const
 RShape ()
virtual bool scale (double scaleFactor, const RVector &center=RVector())
virtual bool stretch (const RBox &area, const RVector &offset)
virtual bool stretch (const RPolyline &area, const RVector &offset)
virtual ~RShape ()
- Public Member Functions inherited from RExplodable
virtual ~RExplodable ()

Static Public Member Functions

static RTriangle createArrow (const RVector &position, double direction, double size)
- Static Public Member Functions inherited from RShape
static const RExplodablecastToExplodable (const RShape *shape)
static QList< RVectorgetIntersectionPoints (const RShape &shape1, const RShape &shape2, bool limited=true, bool same=false, bool force=false)
static QList< RVectorgetIntersectionPointsAA (const RArc &arc1, const RArc &arc2, bool limited=true)
static QList< RVectorgetIntersectionPointsAC (const RArc &arc1, const RCircle &circle2, bool limited=true)
static QList< RVectorgetIntersectionPointsAE (const RArc &arc1, const REllipse &ellipse2, bool limited=true)
static QList< RVectorgetIntersectionPointsAS (const RArc &arc1, const RSpline &spline2, bool limited=true)
static QList< RVectorgetIntersectionPointsAT (const RArc &arc1, const RTriangle &triangle2, bool limited=true)
static QList< RVectorgetIntersectionPointsAX (const RArc &arc1, const RExplodable &explodable2, bool limited=true)
static QList< RVectorgetIntersectionPointsCC (const RCircle &circle1, const RCircle &circle2)
static QList< RVectorgetIntersectionPointsCE (const RCircle &circle1, const REllipse &ellipse2)
static QList< RVectorgetIntersectionPointsCS (const RCircle &circle1, const RSpline &spline2, bool limited=true)
static QList< RVectorgetIntersectionPointsCX (const RCircle &circle1, const RExplodable &explodable2, bool limited=true)
static QList< RVectorgetIntersectionPointsEE (const REllipse &ellipse1, const REllipse &ellipse2)
static QList< RVectorgetIntersectionPointsEE (const REllipse &ellipse1, const REllipse &ellipse2, bool limited)
static QList< RVectorgetIntersectionPointsES (const REllipse &ellipse1, const RSpline &spline2, bool limited=true)
static QList< RVectorgetIntersectionPointsEX (const REllipse &ellipse1, const RExplodable &explodable2, bool limited=true)
static QList< RVectorgetIntersectionPointsLA (const RLine &line1, const RArc &arc2, bool limited=true)
static QList< RVectorgetIntersectionPointsLA (const RLine &line1, const RArc &arc2, bool limited1, bool limited2)
static QList< RVectorgetIntersectionPointsLC (const RLine &line1, const RCircle &circle2, bool limited=true)
static QList< RVectorgetIntersectionPointsLE (const RLine &line1, const REllipse &ellipse2, bool limited=true)
static QList< RVectorgetIntersectionPointsLE (const RLine &line1, const REllipse &ellipse2, bool limited1, bool limited2)
static QList< RVectorgetIntersectionPointsLL (const RLine &line1, const RLine &line2, bool limited=true)
static QList< RVectorgetIntersectionPointsLL (const RLine &line1, const RLine &line2, bool limited1, bool limited2)
static QList< RVectorgetIntersectionPointsLS (const RLine &line1, const RSpline &spline2, bool limited=true)
static QList< RVectorgetIntersectionPointsLT (const RLine &line1, const RTriangle &triangle2, bool limited=true)
static QList< RVectorgetIntersectionPointsLT (const RLine &line1, const RTriangle &triangle2, bool limited1, bool limited2)
static QList< RVectorgetIntersectionPointsLX (const RLine &line1, const RExplodable &explodable2, bool limited=true)
static QList< RVectorgetIntersectionPointsXX (const RExplodable &explodable1, const RExplodable &explodable2, bool limited=true, bool same=false)
static bool order (QList< QList< QSharedPointer< RShape > > > &boundary)
 Orders the given list of loops into a list of closed loops in which all shapes are connected end to start point.

Public Attributes

RVector corner [3]

Protected Member Functions

virtual void print (QDebug dbg) const

Detailed Description

Low-level mathematical representation of a triangle.

Scriptable:
This class is wrapped for script environments.
Shared Pointer Support:
Script wrappers of this class support wrapping in QSharedPointer.
Copyable:
Script wrappers of this class should pass objects by reference.
Stream Operator:
Script wrappers of this class use the stream operator for the output of toString().

Constructor & Destructor Documentation

RTriangle::RTriangle ( )

Copyright (c) 2011-2013 by Andrew Mustun.

All rights reserved.

This file is part of the QCAD project.

QCAD is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

QCAD is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with QCAD. Creates a triangle with invalid corner points.

RTriangle::RTriangle ( const RVector p1,
const RVector p2,
const RVector p3 
)

Creates a triangle with the given corners.

RTriangle::~RTriangle ( )
virtual

Member Function Documentation

virtual RTriangle* RTriangle::clone ( ) const
inlinevirtual

Implements RShape.

RTriangle RTriangle::createArrow ( const RVector position,
double  direction,
double  size 
)
static
virtual bool RTriangle::flipHorizontal ( )
inlinevirtual

Reimplemented from RShape.

virtual bool RTriangle::flipVertical ( )
inlinevirtual

Reimplemented from RShape.

RBox RTriangle::getBoundingBox ( ) const
virtual
Returns:
The bounding box of this shape.

Implements RShape.

QList< RVector > RTriangle::getCenterPoints ( ) const
virtual
Returns:
The center point(s) of this shape.

Implements RShape.

RVector RTriangle::getCorner ( int  i) const
double RTriangle::getD ( ) const
Returns:
'd' in the plane equation 'ax + by + cz = d'.
double RTriangle::getDistanceTo ( const RVector point,
bool  limited = true,
double  strictRange = RMAXDOUBLE 
) const
virtual
Returns:
Shortest distance from this shape to the given point. Based on getVectorTo.

Reimplemented from RShape.

QList< RVector > RTriangle::getEndPoints ( ) const
virtual
Returns:
The end point(s) of this shape.

Implements RShape.

QList< QSharedPointer< RShape > > RTriangle::getExploded ( int  segments = RDEFAULT_MIN1) const
virtual
Returns:
List of RLines describing this triangle.

Implements RExplodable.

double RTriangle::getLength ( ) const
virtual
Returns:
The total length of this shape if applicable or NaN if not.

Implements RShape.

QList< RVector > RTriangle::getMiddlePoints ( ) const
virtual
Returns:
The middle point(s) of this shape.

Implements RShape.

RVector RTriangle::getNormal ( ) const
virtual
See also:
http://en.wikipedia.org/wiki/Normal_vector
http://en.wikipedia.org/wiki/Cross_product#Definition
Returns:
The normal vector of this triangle. The length of the normal vector equals double the area of the triangle.
QList< RVector > RTriangle::getPointsWithDistanceToEnd ( double  distance,
RS::From  from = RS::FromAny 
) const
virtual
Returns:
All points on this shape with the given distance to an endpoint.

Implements RShape.

QSharedPointer<RShape> RTriangle::getTransformed ( const QTransform &  transform) const
inlinevirtual

Implements RShape.

RVector RTriangle::getVectorTo ( const RVector point,
bool  limited = true,
double  strictRange = RMAXDOUBLE 
) const
virtual
Returns:
Shortest vector from this shape to the given point.
Parameters:
pointthe given point
limitedIf false, the shape is treaded as an unlimited shape that extends in a logical way. For example an unlimited line for a line, full circle for an arc or a plane for a triangle.

Implements RShape.

bool RTriangle::isPointInQuadrant ( const RVector p) const
bool RTriangle::isPointInTriangle ( const RVector ip,
bool  treatAsQuadrant = false 
) const
Todo:
implement for all shapes
Returns:
True if the given point is inside this triangle.
Parameters:
ipthe point
treatAsQuadrantIf treatAsQuadrant is true, the triangle is treated as an open quadrant or segment with its center at the first corner. In this case, the point is inside, if it is on the plane that is limited by the two rays corner[0] -> corner[1] and corner[0] -> corner[2].
virtual bool RTriangle::mirror ( const RLine axis)
inlinevirtual

Implements RShape.

virtual bool RTriangle::move ( const RVector offset)
inlinevirtual

Implements RShape.

void RTriangle::print ( QDebug  dbg) const
protectedvirtual

Reimplemented from RShape.

virtual bool RTriangle::rotate ( double  rotation,
const RVector center = RDEFAULT_RVECTOR 
)
inlinevirtual

Implements RShape.

virtual bool RTriangle::scale ( const RVector scaleFactors,
const RVector center = RVector() 
)
inlinevirtual

Implements RShape.

void RTriangle::setCorner ( int  i,
const RVector p 
)
void RTriangle::to2D ( )
virtual

Flattens this shape to the X/Y plane.

Implements RShape.


Member Data Documentation

RVector RTriangle::corner[3]

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