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/**
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**
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** @RDE_HEADER@
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** Implementation of Splines
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** $Id$
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** $HeadURL$
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** $Author$
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**
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** -----------------------------------------------------------------------------------------------
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**
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** Hardware-Environment: Intel-PC
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** Software-Environment: Windows 7, Qt 5.4. ArcGIS 10.2.5
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**
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** Language ........: C++ 11
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**
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** -----------------------------------------------------------------------------------------------
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**
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** Author ...........: Jörg Turla, SPD G, Tel. 3132
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**
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** -----------------------------------------------------------------------------------------------
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**
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** Notes .........:
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**
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** 12.08.2015, JT : First edition for use with Qt5
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**
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** -----------------------------------------------------------------------------------------------
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*/
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#pragma once
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#include <QtCore/QPoint>
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#include <QtCore/QVector>
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#include <MathUtils/math_const.h>
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#include <situation_map_export.h>
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namespace SituationMap { namespace MathUtils
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{
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class PathRasterer;
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/**
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@class Curve curve.h
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@brief Base class to calculate a polyline from curve functions like splines, circles, ellpises ...
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Pure virtual base class to calculate a polyline from curve functions. The curve function is defined
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in derived classes. The resolution of rasterization can be set in PathRasterer class.
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@see PathRasterer, Ellipse, Spline, SmoothLine, HermiteSpline, BezierSpline
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*/
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class SITUATIONMAP_EXPORT Curve
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{
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public:
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/**
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Returns the maximum curve paramter t. The curve is defined in interval tmin ... tmax
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*/
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virtual qreal maximumCurveParameter() const = 0;
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/**
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Returns the minimum curve paramter t. The curve is defined in interval tmin ... tmax
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*/
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virtual qreal minimumCurveParameter() const = 0;
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/**
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Returns the position on curve at \c t
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@param t curve parameter, should be in range of 0 ... tmax
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*/
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virtual QPointF positionOnCurve ( qreal t ) const = 0;
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/**
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Returns the tangent at position \c t
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@param t curve parameter, should be in range of 0 ... tmax
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*/
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virtual QPointF directionOnCurve( qreal t ) const = 0;
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/**
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Returns the length of curve from start to position t
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@param t curve parameter, should be in range of 0 ... tmax
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*/
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virtual qreal arcLength( qreal t ) const = 0;
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/**
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Returns the length of curve from position \c tmin to position \c tmax
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@param tmin curve parameter, should be in range of 0 ... maximumCurveParameter()
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@param tmax curve parameter, should be in range of tmin ... maximumCurveParameter()
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*/
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virtual qreal arcLength( qreal tmin, qreal tmax ) const { return arcLength(tmax)-arcLength(tmin); }
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/**
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Returns the length of complete curve
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*/
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inline qreal arcLength() const { return arcLength( maximumCurveParameter() ); }
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/**
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Create instance of class \c PathRasterer to rasterize the spline curve. After usage the
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caller should use delete to free memory and avoid memory leaks. This methode is pure virtual
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and has to be override by the derived class.
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@see PathRasterer
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*/
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virtual PathRasterer * createPathRaster() const = 0;
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}; /* Curve */
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/**
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@class SmoothLine curve.h
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@brief Class to calculate a ellipse. A angle have to be defined in RAD in mathematical manner (counter clockwise and (1,0) is zero angle)
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*/
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class SITUATIONMAP_EXPORT Ellipse : public Curve
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{
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public:
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Ellipse() = default;
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Ellipse( QPointF center, qreal rx, qreal ry, qreal phi, qreal sectorStart = 0, qreal sectorEnd = MathConst::pi_two );
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virtual ~Ellipse() = default;
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qreal maximumCurveParameter() const override;
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qreal minimumCurveParameter() const override;
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QPointF positionOnCurve ( qreal t ) const override;
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QPointF directionOnCurve( qreal t ) const override;
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qreal arcLength( qreal t ) const override;
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qreal arcLength( qreal tmin, qreal tmax ) const override;
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PathRasterer * createPathRaster() const override;
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protected:
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QPointF _center;
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qreal _radiusX;
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qreal _radiusY;
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qreal _eccentricity2;
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qreal _sinPhi;
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qreal _cosPhi;
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qreal _phiSectorStart;
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qreal _phiSectorEnd;
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}; /* Ellipse */
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/**
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@class SmoothLine curve.h
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@brief Class to calculate a line with rounded verticies based on spline functions
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*/
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class SITUATIONMAP_EXPORT SmoothLine : public Curve
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{
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public:
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/**
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@name Construction & Destruction
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@{
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*/
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SmoothLine() = default;
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explicit SmoothLine( const QVector<QPointF> & vertexVector, bool closedCurve = false );
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virtual ~SmoothLine() = default;
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/** @} */
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/**
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Defines the predicated polyline
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@param vertexVector verticies of the polyline
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@param closedCurve if \c closedCurve is true the polyline is closed to a polygon
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*/
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void vertexVector( const QVector<QPointF> & vertexVector, bool closedCurve = false );
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qreal maximumCurveParameter() const override;
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qreal minimumCurveParameter() const override { return 0.0; }
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QPointF positionOnCurve ( qreal t ) const override;
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QPointF directionOnCurve( qreal t ) const override;
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qreal arcLength( qreal t ) const override;
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PathRasterer * createPathRaster() const override;
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protected:
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bool _closedCurve;
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QVector<QPointF> _vertexVector;
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}; /* SmoothLine */
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/**
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@class HermitSpline curve.h
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@brief Class to calculate 2D hermit spline curves
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*/
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class SITUATIONMAP_EXPORT HermiteSpline : public Curve
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{
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public:
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/**
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@name Construction & Destruction
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@{
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*/
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HermiteSpline() = default;
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HermiteSpline( const QVector<QPointF> & vertexVector
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, const QVector<QPointF> & tangentVector
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, bool closedCurve = false );
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~HermiteSpline() = default;
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/** @} */
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/**
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Defines the gemeotry of the hermite spline
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@param vertexVector verticies to define the hermite spline
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@param tangentVector tangents to define the hermite spline
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@param closedCurve if \c closedCurve is true the spline curve is closed
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*/
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virtual void vertexVector( const QVector<QPointF> & vertexVector
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, const QVector<QPointF> & tangentVector
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, bool closedCurve = false );
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qreal maximumCurveParameter() const override;
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qreal minimumCurveParameter() const override { return 0.0; }
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QPointF positionOnCurve ( qreal t ) const override;
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QPointF directionOnCurve( qreal t ) const override;
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qreal arcLength( qreal t ) const override;
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PathRasterer * createPathRaster() const override;
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private:
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bool _closedCurve;
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QVector<QPointF> _vertexVector;
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QVector<QPointF> _tangentVector;
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}; /* HermiteSpline */
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/**
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@class BezierSpline curve.h
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@brief Class to calculate 2D bezier spline curves
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*/
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class SITUATIONMAP_EXPORT BezierSpline : public HermiteSpline
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{
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public:
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/**
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@name Construction & Destruction
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@{
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*/
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BezierSpline() = default;
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explicit BezierSpline( const QVector<QPointF> & ctrlPntVector, bool closedCurve = false );
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~BezierSpline() = default;
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/** @} */
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/**
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Defines the control points of the bezier curve
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@param ctrlPntVector control points of bezier curve
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@param closedCurve if \c closedCurve is true the spline curve is closed
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*/
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void controlPointVector( const QVector<QPointF> & ctrlPntVector, bool closedCurve = false );
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/**
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Don't call vertexVector methode from class HermiteSpline. It is not defined for bezier curves.
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If you call it anyway, you will get an execption.
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*/
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void vertexVector( const QVector<QPointF> & vertexVector
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, const QVector<QPointF> & tangentVector
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, bool closedCurve = false ) override;
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PathRasterer * createPathRaster() const override;
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}; /* BezierSpline */
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} } // namespace SituationMap::MathUtils
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