Ipelib
Public Member Functions | Public Attributes | List of all members
ipe::Arc Class Reference

#include <ipegeo.h>

Public Member Functions

 Arc ()
 Arc (const Matrix &m, Angle alpha, Angle beta)
 Arc (const Matrix &m)
 Arc (const Matrix &m0, const Vector &begp, const Vector &endp)
bool isEllipse () const
double distance (const Vector &v, double bound) const
double distance (const Vector &v, double bound, Vector &pos, Angle &angle) const
Rect bbox () const
Vector beginp () const
Vector endp () const
void intersect (const Line &l, std::vector< Vector > &result) const
void intersect (const Segment &s, std::vector< Vector > &result) const
void intersect (const Arc &a, std::vector< Vector > &result) const
void intersect (const Bezier &b, std::vector< Vector > &result) const

Public Attributes

Matrix iM
Angle iAlpha
Angle iBeta

Detailed Description

An arc of an ellipse.

The ellipse is represented using the matrix that transforms the unit circle x^2 + y^2 = 1 to the desired ellipse. The arc coordinate system is the coordinate system of this unit circle.

A full ellipse is described by iAlpha = 0, iBeta = IpeTwoPi.

An elliptic arc is the image of the circular arc from iAlpha to iBeta (in increasing angle in arc coordinate system).

Constructor & Destructor Documentation

ipe::Arc::Arc ( )
inline

Construct unit circle.

ipe::Arc::Arc ( const Matrix m,
Angle  alpha,
Angle  beta 
)
inline

Construct with given parameters.

ipe::Arc::Arc ( const Matrix m)
inline

Construct an ellipse.

Arc::Arc ( const Matrix m,
const Vector begp,
const Vector endp 
)

Construct arc for ellipse defined by m, from begp to endp.

This assumes that m has been correctly computed such that begb and endp already lie on the ellipse.

Member Function Documentation

bool ipe::Arc::isEllipse ( ) const
inline

Is this an entire ellipse?

double Arc::distance ( const Vector v,
double  bound 
) const

This doesn't really compute the distance, but a reasonable approximation.

double Arc::distance ( const Vector v,
double  bound,
Vector pos,
Angle angle 
) const

Like distance(), but sets pos to point on arc and angle to its angle in arc coordinates. angle and pos are not modified if result is larger than bound.

Rect Arc::bbox ( ) const

Return a tight bounding box.

Vector ipe::Arc::beginp ( ) const
inline

Return begin point of arc.

Vector ipe::Arc::endp ( ) const
inline

Return end point of arc.

void Arc::intersect ( const Line l,
std::vector< Vector > &  result 
) const

Compute intersection points of Arc with Line.

void Arc::intersect ( const Segment s,
std::vector< Vector > &  result 
) const

Compute intersection points of Arc with Segment.

void Arc::intersect ( const Arc a,
std::vector< Vector > &  result 
) const

Compute intersection points of Arc with Arc.

void Arc::intersect ( const Bezier b,
std::vector< Vector > &  result 
) const

Compute intersection points of Arc with Bezier.

Member Data Documentation

Matrix ipe::Arc::iM
Angle ipe::Arc::iAlpha
Angle ipe::Arc::iBeta

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