Collaboration diagram for Two-Dimensional uv-Curves:

Classes
class	MbArc
	Elliptical arc in two-dimensional space. More...

class	MbBezier
	Bezier spline in two-dimensional space. More...

class	MbCharacterCurve
	Functionally defined two-dimensional curve. More...

class	MbContour
	Contour in two-dimensional space. More...

class	MbContourWithBreaks
	Contour with breaks. More...

class	MbCosinusoid
	Cosinusoid in two-dimensional space. More...

class	MbCubicSpline
	Cubic spline in two-dimensional space. More...

class	MbHermit
	Composite Hermite cubic spline in two-dimensional space. More...

class	MbLine
	Line in two-dimensional space. More...

class	MbLineSegment
	Line segment in two-dimensional space. More...

class	MbNurbs
	NURBS curve in two-dimensional space. More...

class	MbOffsetCurve
	Offset extended curve. More...

class	MbPointCurve
	The curve degenerated to a point. More...

class	MbPolyCurve
	Curve in two-dimensional space, defined by points. More...

class	MbPolyline
	Polyline in two-dimensional space. More...

class	MbReparamCurve
	Reparametrized curve in two-dimensional space. More...

class	MbTrimmedCurve
	Trimmed curve in two-dimensional space. More...

class	MbCurve
	Curve in two-dimensional space. More...

Functions
bool	CreateOffsetElliptic (const MbArc &curve, double rad, RPArray< MbCurve > &segments, size_t &count, bool setArcLimits=false)
	Creation of the offset curve (arc) of ellipse with different semiaxes subject to self-intersections. More...

void	EllipticWrite (writer &out, const MbArc *curve)
	Writes to the stream for older versions. More...

void	TrimmedWrite (writer &out, const MbTrimmedCurve *curve)
	Writes to the stream for older versions. More...

Functions for working in the curve's domain.
Functions PointOn, FirstDer, SecondDer, ThirdDer,... correct parameter when it is out of domain bounds. The exception is MbLine (line).
virtual void	MbCurve::PointOn (double &t, MbCartPoint &p) const =0
	Calculate a point on the curve. More...

virtual void	MbCurve::FirstDer (double &t, MbVector &v) const =0
	Calculate first derivative.

virtual void	MbCurve::SecondDer (double &t, MbVector &v) const =0
	Calculate second derivative.

virtual void	MbCurve::ThirdDer (double &t, MbVector &v) const =0
	Calculate third derivative.

void	MbCurve::Tangent (double &t, MbVector &v) const
	Calculate tangent vector (normalized).

void	MbCurve::Tangent (double &t, MbDirection &d) const
	Calculate tangent vector (normalized).

void	MbCurve::Normal (double &t, MbVector &v) const
	Calculate main normal vector (normalized).

void	MbCurve::Normal (double &t, MbDirection &d) const
	Calculate main normal vector (normalized).

Functions for working inside and outside the curve's domain.
Functions _PointOn, _FirstDer, _SecondDer, _ThirdDer,... do not correct parameter when it is out of domain bounds. When parameter is out of domain bounds, an unclosed curve is extended by tangent vector at corresponding end point in general case. The exceptions are arcs of ellipse and arcs of circle - they are extended according to their equations.
virtual void	MbCurve::_PointOn (double t, MbCartPoint &p) const
	Calculate point at curve and its extension. More...

virtual void	MbCurve::_FirstDer (double t, MbVector &v) const
	Calculate first derivative at curve and its extension.

virtual void	MbCurve::_SecondDer (double t, MbVector &v) const
	Calculate second derivative at curve and its extension.

virtual void	MbCurve::_ThirdDer (double t, MbVector &v) const
	Calculate third derivative at curve and its extension.

void	MbCurve::_Tangent (double t, MbVector &v) const
	Calculate tangent vector (normalized).

void	MbCurve::_Tangent (double t, MbDirection &d) const
	Calculate tangent vector (normalized).

void	MbCurve::_Normal (double t, MbVector &v) const
	Calculate main normal vector (normalized) at curve and its extension.

void	MbCurve::_Normal (double t, MbDirection &d) const
	Calculate main normal vector (normalized) at curve and its extension.

virtual void	MbCurve::Explore (double &t, bool ext, MbCartPoint &pnt, MbVector &fir, MbVector sec, MbVector thir) const
	Calculate point and derivatives of object for given parameter. More...

Detailed Description

Function Documentation

◆ CreateOffsetElliptic()

bool CreateOffsetElliptic	(	const MbArc &	curve,
		double	rad,
		RPArray< MbCurve > &	segments,
		size_t &	count,
		bool	setArcLimits = `false`
	)

Creation of the offset curve (arc) of ellipse with different semiaxes subject to self-intersections.

Creation of the offset curve (arc) of ellipse with different semiaxes subject to self-intersections.
Not for (arc of) a circle - exits with flag true but constructs nothing.

◆ EllipticWrite()

void EllipticWrite	(	writer &	out,
		const MbArc *	curve
	)

Writes to the stream for older versions.

◆ TrimmedWrite()

void TrimmedWrite	(	writer &	out,
		const MbTrimmedCurve *	curve
	)

Writes to the stream for older versions.

◆ PointOn()

virtual void MbCurve::PointOn	(	double &	t,
		MbCartPoint &	p
	)		const

pure virtual

Calculate a point on the curve.

Correct parameter when getting out of domain bounds and calculate a point on the curve.

Parameters

[in]	t	- Curve parameter.
[out]	p	- A point on the curve.

Implemented in MbOffsetCurve, MbNurbs, MbTrimmedCurve, MbReparamCurve, MbProjCurve, MbPolyline, MbPointCurve, MbLineSegment, MbLine, MbHermit, MbCosinusoid, MbBezier, MbCharacterCurve, MbArc, MbCubicSpline, and MbContour.

◆ _PointOn()

virtual void MbCurve::_PointOn	(	double	t,
		MbCartPoint &	p
	)		const

virtual

Calculate point at curve and its extension.

Calculate a point on the curve including the outside area determination parameter.

Parameters

[in]	t	- Curve parameter.
[out]	p	- A point on the curve.

Reimplemented in MbContour, MbTrimmedCurve, MbReparamCurve, MbProjCurve, MbPointCurve, MbOffsetCurve, MbLineSegment, MbLine, MbHermit, MbCosinusoid, and MbArc.

◆ Explore()

virtual void MbCurve::Explore	(	double &	t,
		bool	ext,
		MbCartPoint &	pnt,
		MbVector &	fir,
		MbVector *	sec,
		MbVector *	thir
	)		const

virtual

Calculate point and derivatives of object for given parameter.

Values of point and derivatives are calculated on parameter area and on extended curve.

Parameters

[in]	t	- Parameter.
[in]	ext	- On parameters area (false), on extended curve (true).
[out]	pnt	- Point.
[out]	fir	- Derivative with respect to t.
[out]	sec	- Second derivative with respect to t, if not nullptr.
[out]	thir	- Third derivative with respect to t, if not nullptr.

Reimplemented in MbTrimmedCurve, MbReparamCurve, MbProjCurve, MbPolyline, MbPointCurve, MbOffsetCurve, MbNurbs, MbLineSegment, MbLine, MbHermit, MbCubicSpline, MbCosinusoid, MbContour, MbCharacterCurve, MbBezier, and MbArc.

Classes

Functions

Functions for working in the curve's domain.

Functions for working inside and outside the curve's domain.

Detailed Description

Function Documentation

◆ CreateOffsetElliptic()

◆ EllipticWrite()

◆ TrimmedWrite()

◆ PointOn()

◆ _PointOn()

◆ Explore()