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AffineTransform Class Referencefinal
juce_graphics » geometry

Represents a 2D affine-transformation matrix. More...

`#include <juce_AffineTransform.h>`

## Public Member Functions
| AffineTransform ()=default
| Creates an identity transform.
| AffineTransform (const AffineTransform &)=default
| Creates a copy of another transform.
| AffineTransform (float mat00, float mat01, float mat02, float mat10, float mat11, float mat12) noexcept
| Creates a transform from a set of raw matrix values.
AffineTransform & | operator= (const AffineTransform &)=default
| Copies from another AffineTransform object.
bool | operator== (const AffineTransform &other) const noexcept
| Compares two transforms.
bool | operator!= (const AffineTransform &other) const noexcept
| Compares two transforms.
template<typename ValueType >
void | transformPoint (ValueType &x, ValueType &y) const noexcept
| Transforms a 2D coordinate using this matrix.
template<typename ValueType >
void | transformPoints (ValueType &x1, ValueType &y1, ValueType &x2, ValueType &y2) const noexcept
| Transforms two 2D coordinates using this matrix.
template<typename ValueType >
void | transformPoints (ValueType &x1, ValueType &y1, ValueType &x2, ValueType &y2, ValueType &x3, ValueType &y3) const noexcept
| Transforms three 2D coordinates using this matrix.
AffineTransform | translated (float deltaX, float deltaY) const noexcept
| Returns a new transform which is the same as this one followed by a translation.
template<typename PointType >
AffineTransform | translated (PointType delta) const noexcept
| Returns a new transform which is the same as this one followed by a translation.
AffineTransform | withAbsoluteTranslation (float translationX, float translationY) const noexcept
| Returns a copy of this transform with the specified translation matrix values.
AffineTransform | rotated (float angleInRadians) const noexcept
| Returns a transform which is the same as this one followed by a rotation.
AffineTransform | rotated (float angleInRadians, float pivotX, float pivotY) const noexcept
| Returns a transform which is the same as this one followed by a rotation about a given point.
AffineTransform | scaled (float factorX, float factorY) const noexcept
| Returns a transform which is the same as this one followed by a re-scaling.
AffineTransform | scaled (float factor) const noexcept
| Returns a transform which is the same as this one followed by a re-scaling.
AffineTransform | scaled (float factorX, float factorY, float pivotX, float pivotY) const noexcept
| Returns a transform which is the same as this one followed by a re-scaling.
AffineTransform | sheared (float shearX, float shearY) const noexcept
| Returns a transform which is the same as this one followed by a shear.
AffineTransform | inverted () const noexcept
| Returns a matrix which is the inverse operation of this one.
AffineTransform | followedBy (const AffineTransform &other) const noexcept
| Returns the result of concatenating another transformation after this one.
bool | isIdentity () const noexcept
| Returns true if this transform has no effect on points.
bool | isSingularity () const noexcept
| Returns true if this transform maps to a singularity - i.e.
bool | isOnlyTranslation () const noexcept
| Returns true if the transform only translates, and doesn't scale or rotate the points.
float | getTranslationX () const noexcept
| If this transform is only a translation, this returns the X offset.
float | getTranslationY () const noexcept
| If this transform is only a translation, this returns the X offset.
float | getDeterminant () const noexcept
| Returns the determinant of the transform.

## Static Public Member Functions
static AffineTransform | translation (float deltaX, float deltaY) noexcept
| Returns a new transform which is a translation.
template<typename PointType >
static AffineTransform | translation (PointType delta) noexcept
| Returns a new transform which is a translation.
static AffineTransform | rotation (float angleInRadians) noexcept
| Returns a new transform which is a rotation about (0, 0).
static AffineTransform | rotation (float angleInRadians, float pivotX, float pivotY) noexcept
| Returns a new transform which is a rotation about a given point.
static AffineTransform | scale (float factorX, float factorY) noexcept
| Returns a new transform which is a re-scale about the origin.
static AffineTransform | scale (float factor) noexcept
| Returns a new transform which is a re-scale about the origin.
static AffineTransform | scale (float factorX, float factorY, float pivotX, float pivotY) noexcept
| Returns a new transform which is a re-scale centred around the point provided.
static AffineTransform | shear (float shearX, float shearY) noexcept
| Returns a shear transform, centred around the origin (0, 0).
static AffineTransform | verticalFlip (float height) noexcept
| Returns a transform that will flip coordinates vertically within a window of the given height.
static AffineTransform | fromTargetPoints (float x00, float y00, float x10, float y10, float x01, float y01) noexcept
| Returns the transform that will map three known points onto three coordinates that are supplied.
static AffineTransform | fromTargetPoints (float sourceX1, float sourceY1, float targetX1, float targetY1, float sourceX2, float sourceY2, float targetX2, float targetY2, float sourceX3, float sourceY3, float targetX3, float targetY3) noexcept
| Returns the transform that will map three specified points onto three target points.
template<typename PointType >
static AffineTransform | fromTargetPoints (PointType source1, PointType target1, PointType source2, PointType target2, PointType source3, PointType target3) noexcept
| Returns the transform that will map three specified points onto three target points.

## Public Attributes
float | mat00 { 1.0f }
float | mat01 { 0.0f }
float | mat02 { 0.0f }
float | mat10 { 0.0f }
float | mat11 { 1.0f }
float | mat12 { 0.0f }

## Detailed Description

Represents a 2D affine-transformation matrix.

An affine transformation is a transformation such as a rotation, scale, shear, resize or translation.

These are used for various 2D transformation tasks, e.g. with Path objects.

See also
  Path, Point, Line

## Constructor & Destructor Documentation

## ◆ AffineTransform() [1/3]

AffineTransform::AffineTransform | ( |  | ) |
| default

Creates an identity transform.

## ◆ AffineTransform() [2/3]

AffineTransform::AffineTransform | ( | const AffineTransform & |  | ) |
| default

Creates a copy of another transform.

## ◆ AffineTransform() [3/3]

AffineTransform::AffineTransform | ( | float | mat00,
|  | float | mat01,
|  | float | mat02,
|  | float | mat10,
|  | float | mat11,
|  | float | mat12 )
| noexcept

Creates a transform from a set of raw matrix values.

The resulting matrix is:

    (mat00 mat01 mat02)
    (mat10 mat11 mat12)
    (  0     0     1  )

## Member Function Documentation

## ◆ operator=()

AffineTransform & AffineTransform::operator= | ( | const AffineTransform & |  | ) |
| default

Copies from another AffineTransform object.

## ◆ operator==()

bool AffineTransform::operator== | ( | const AffineTransform & | other | ) | const
| noexcept

Compares two transforms.

## ◆ operator!=()

bool AffineTransform::operator!= | ( | const AffineTransform & | other | ) | const
| noexcept

Compares two transforms.

## ◆ transformPoint()

template<typename ValueType >

void AffineTransform::transformPoint | ( | ValueType & | x,
|  | ValueType & | y ) const
| noexcept

Transforms a 2D coordinate using this matrix.

References x, and y.

## ◆ transformPoints() [1/2]

template<typename ValueType >

void AffineTransform::transformPoints | ( | ValueType & | x1,
|  | ValueType & | y1,
|  | ValueType & | x2,
|  | ValueType & | y2 ) const
| noexcept

Transforms two 2D coordinates using this matrix.

This is just a shortcut for calling transformPoint() on each of these pairs of coordinates in turn. (And putting all the calculations into one function hopefully also gives the compiler a bit more scope for pipelining it).

## ◆ transformPoints() [2/2]

template<typename ValueType >

void AffineTransform::transformPoints | ( | ValueType & | x1,
|  | ValueType & | y1,
|  | ValueType & | x2,
|  | ValueType & | y2,
|  | ValueType & | x3,
|  | ValueType & | y3 ) const
| noexcept

Transforms three 2D coordinates using this matrix.

This is just a shortcut for calling transformPoint() on each of these pairs of coordinates in turn. (And putting all the calculations into one function hopefully also gives the compiler a bit more scope for pipelining it).

## ◆ translated() [1/2]

AffineTransform AffineTransform::translated | ( | float | deltaX,
|  | float | deltaY ) const
| noexcept

Returns a new transform which is the same as this one followed by a translation.

## ◆ translated() [2/2]

template<typename PointType >

AffineTransform AffineTransform::translated | ( | PointType | delta | ) | const
| noexcept

Returns a new transform which is the same as this one followed by a translation.

## ◆ translation() [1/2]

static AffineTransform AffineTransform::translation | ( | float | deltaX,
|  | float | deltaY )
| static noexcept

Returns a new transform which is a translation.

## ◆ translation() [2/2]

template<typename PointType >

static AffineTransform AffineTransform::translation | ( | PointType | delta | ) |
| static noexcept

Returns a new transform which is a translation.

## ◆ withAbsoluteTranslation()

AffineTransform AffineTransform::withAbsoluteTranslation | ( | float | translationX,
|  | float | translationY ) const
| noexcept

Returns a copy of this transform with the specified translation matrix values.

## ◆ rotated() [1/2]

AffineTransform AffineTransform::rotated | ( | float | angleInRadians | ) | const
| noexcept

Returns a transform which is the same as this one followed by a rotation.

The rotation is specified by a number of radians to rotate clockwise, centred around the origin (0, 0).

## ◆ rotated() [2/2]

AffineTransform AffineTransform::rotated | ( | float | angleInRadians,
|  | float | pivotX,
|  | float | pivotY ) const
| noexcept

Returns a transform which is the same as this one followed by a rotation about a given point.

The rotation is specified by a number of radians to rotate clockwise, centred around the coordinates passed in.

## ◆ rotation() [1/2]

static AffineTransform AffineTransform::rotation | ( | float | angleInRadians | ) |
| static noexcept

Returns a new transform which is a rotation about (0, 0).

## ◆ rotation() [2/2]

static AffineTransform AffineTransform::rotation | ( | float | angleInRadians,
|  | float | pivotX,
|  | float | pivotY )
| static noexcept

Returns a new transform which is a rotation about a given point.

## ◆ scaled() [1/3]

AffineTransform AffineTransform::scaled | ( | float | factorX,
|  | float | factorY ) const
| noexcept

Returns a transform which is the same as this one followed by a re-scaling.

The scaling is centred around the origin (0, 0).

## ◆ scaled() [2/3]

AffineTransform AffineTransform::scaled | ( | float | factor | ) | const
| noexcept

Returns a transform which is the same as this one followed by a re-scaling.

The scaling is centred around the origin (0, 0).

## ◆ scaled() [3/3]

AffineTransform AffineTransform::scaled | ( | float | factorX,
|  | float | factorY,
|  | float | pivotX,
|  | float | pivotY ) const
| noexcept

Returns a transform which is the same as this one followed by a re-scaling.

The scaling is centred around the origin provided.

## ◆ scale() [1/3]

static AffineTransform AffineTransform::scale | ( | float | factorX,
|  | float | factorY )
| static noexcept

Returns a new transform which is a re-scale about the origin.

## ◆ scale() [2/3]

static AffineTransform AffineTransform::scale | ( | float | factor | ) |
| static noexcept

Returns a new transform which is a re-scale about the origin.

## ◆ scale() [3/3]

static AffineTransform AffineTransform::scale | ( | float | factorX,
|  | float | factorY,
|  | float | pivotX,
|  | float | pivotY )
| static noexcept

Returns a new transform which is a re-scale centred around the point provided.

## ◆ sheared()

AffineTransform AffineTransform::sheared | ( | float | shearX,
|  | float | shearY ) const
| noexcept

Returns a transform which is the same as this one followed by a shear.

The shear is centred around the origin (0, 0).

## ◆ shear()

static AffineTransform AffineTransform::shear | ( | float | shearX,
|  | float | shearY )
| static noexcept

Returns a shear transform, centred around the origin (0, 0).

## ◆ verticalFlip()

static AffineTransform AffineTransform::verticalFlip | ( | float | height | ) |
| static noexcept

Returns a transform that will flip coordinates vertically within a window of the given height.

This is handy for converting between upside-down coordinate systems such as OpenGL or CoreGraphics.

## ◆ inverted()

AffineTransform AffineTransform::inverted | ( |  | ) | const
| noexcept

Returns a matrix which is the inverse operation of this one.

Some matrices don't have an inverse - in this case, the method will just return an identity transform.

## ◆ fromTargetPoints() [1/3]

static AffineTransform AffineTransform::fromTargetPoints | ( | float | x00,
|  | float | y00,
|  | float | x10,
|  | float | y10,
|  | float | x01,
|  | float | y01 )
| static noexcept

Returns the transform that will map three known points onto three coordinates that are supplied.

This returns the transform that will transform (0, 0) into (x00, y00), (1, 0) to (x10, y10), and (0, 1) to (x01, y01).

## ◆ fromTargetPoints() [2/3]

static AffineTransform AffineTransform::fromTargetPoints | ( | float | sourceX1,
|  | float | sourceY1,
|  | float | targetX1,
|  | float | targetY1,
|  | float | sourceX2,
|  | float | sourceY2,
|  | float | targetX2,
|  | float | targetY2,
|  | float | sourceX3,
|  | float | sourceY3,
|  | float | targetX3,
|  | float | targetY3 )
| static noexcept

Returns the transform that will map three specified points onto three target points.

## ◆ fromTargetPoints() [3/3]

template<typename PointType >

static AffineTransform AffineTransform::fromTargetPoints | ( | PointType | source1,
|  | PointType | target1,
|  | PointType | source2,
|  | PointType | target2,
|  | PointType | source3,
|  | PointType | target3 )
| static noexcept

Returns the transform that will map three specified points onto three target points.

## ◆ followedBy()

AffineTransform AffineTransform::followedBy | ( | const AffineTransform & | other | ) | const
| noexcept

Returns the result of concatenating another transformation after this one.

## ◆ isIdentity()

bool AffineTransform::isIdentity | ( |  | ) | const
| noexcept

Returns true if this transform has no effect on points.

## ◆ isSingularity()

bool AffineTransform::isSingularity | ( |  | ) | const
| noexcept

Returns true if this transform maps to a singularity - i.e.

if it has no inverse.

## ◆ isOnlyTranslation()

bool AffineTransform::isOnlyTranslation | ( |  | ) | const
| noexcept

Returns true if the transform only translates, and doesn't scale or rotate the points.

## ◆ getTranslationX()

float AffineTransform::getTranslationX | ( |  | ) | const
| noexcept

If this transform is only a translation, this returns the X offset.

See also
  isOnlyTranslation

## ◆ getTranslationY()

float AffineTransform::getTranslationY | ( |  | ) | const
| noexcept

If this transform is only a translation, this returns the X offset.

See also
  isOnlyTranslation

## ◆ getDeterminant()

float AffineTransform::getDeterminant | ( |  | ) | const
| noexcept

Returns the determinant of the transform.

## Member Data Documentation

## ◆ mat00

float AffineTransform::mat00 { 1.0f }

## ◆ mat01

float AffineTransform::mat01 { 0.0f }

## ◆ mat02

float AffineTransform::mat02 { 0.0f }

## ◆ mat10

float AffineTransform::mat10 { 0.0f }

## ◆ mat11

float AffineTransform::mat11 { 1.0f }

## ◆ mat12

float AffineTransform::mat12 { 0.0f }

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

- juce_AffineTransform.h