Ipelib
ipe::Linear Class Reference

`#include <ipegeo.h>`

## Public Member Functions

Linear ()

Linear (Angle angle)

Linear (double m11, double m21, double m12, double m22)

Linear (String str)

Linear inverse () const

bool isIdentity () const

Vector operator* (const Vector &rhs) const

bool operator== (const Linear &rhs) const

double determinant () const

double a 

## Related Functions

(Note that these are not member functions.)

Streamoperator<< (Stream &stream, const Linear &rhs)

Vector operator* (const Vector &rhs) const

Linear operator* (const Linear &lhs, const Linear &rhs)

## Detailed Description

Linear transformation in the plane (2x2 matrix).

## ◆ Linear() [1/4]

 ipe::Linear::Linear ( )
inline

Create identity matrix.

References a.

Referenced by inverse().

## ◆ Linear() [2/4]

 Linear::Linear ( Angle angle )
explicit

Create matrix representing a rotation by angle.

References a.

## ◆ Linear() [3/4]

 ipe::Linear::Linear ( double m11, double m21, double m12, double m22 )
inlineexplicit

Create linear matrix with given coefficients.

References a.

## ◆ Linear() [4/4]

 Linear::Linear ( String str )
explicit

Parse string.

References a.

## ◆ inverse()

 Linear Linear::inverse ( ) const

Return inverse.

References a, determinant(), and Linear().

Referenced by ipe::Arc::bbox(), and ipe::Painter::untransform().

## ◆ isIdentity()

 bool ipe::Linear::isIdentity ( ) const
inline

Is this the identity matrix?

References a.

## ◆ operator*()

 Vector ipe::Linear::operator* ( const Vector & rhs ) const
inline

## ◆ operator==()

 bool ipe::Linear::operator== ( const Linear & rhs ) const
inline

Check for equality of two linear matrices.

References a.

## ◆ determinant()

 double ipe::Linear::determinant ( ) const
inline

Return determinant of a linear matrix.

References a.

Referenced by inverse().

## ◆ operator<<()

 Stream & operator<< ( Stream & stream, const Linear & rhs )
related

## ◆ operator*() [1/2]

 Vector operator* ( const Vector & rhs ) const
related

Linear matrix times vector.

References a, ipe::Vector::x, and ipe::Vector::y.

## ◆ operator*() [2/2]

 Linear operator* ( const Linear & lhs, const Linear & rhs )
related

Linear matrix multiplication.

References a.

## ◆ a

 double ipe::Linear::a

The documentation for this class was generated from the following files:
• ipegeo.h
• ipegeo.cpp