Affine 2D transform
[Math Module]

Classes
struct	common::AFFINE2D
	Affine transform of 2D point/vector. More...
Functions
void	common::Affine2dToStr (tstring *Out, const AFFINE2D &aff)
bool	common::StrToAffine2d (AFFINE2D *Out, const tstring &Str)
void	common::swap (AFFINE2D &aff1, AFFINE2D &aff2)
void	common::Mul (AFFINE2D &out, const AFFINE2D &lhs, const AFFINE2D &rhs)
	Per component multiplication.
void	common::Div (AFFINE2D &out, const AFFINE2D &lhs, const AFFINE2D &rhs)
	Per component division.
void	common::Transform (VEC2 &out, const VEC2 &v, const AFFINE2D &aff)
	2D point transformation, including translation.
void	common::TransformNormal (VEC2 &out, const VEC2 &v, const AFFINE2D &aff)
	2D vector transformation by 2x2 submatrix, with no translation.
void	common::Translation (AFFINE2D &out, const VEC2 &v)
void	common::Translation (AFFINE2D &out, float x, float y)
void	common::Scaling (AFFINE2D &out, float s)
void	common::Scaling (AFFINE2D &out, const VEC2 &v)
void	common::Scaling (AFFINE2D &out, float x, float y)
void	common::Rotation (AFFINE2D &out, float angle)
void	common::Transpose (AFFINE2D &inout)
	Transposes the 2x2 submatrix.
void	common::Lerp (AFFINE2D &out, const AFFINE2D &lhs, const AFFINE2D &rhs, float t)
void	common::Inverse (AFFINE2D &out, const AFFINE2D &aff)
void	common::Affine2dToMatrix (MATRIX &out, const AFFINE2D &aff)
void	common::MatrixToAffine2d (AFFINE2D &out, const MATRIX &m)
Variables
const AFFINE2D	common::AFFINE2D_ZERO
const AFFINE2D	common::AFFINE2D_IDENTITY

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Detailed Description

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Function Documentation

void common::Affine2dToMatrix	(	MATRIX &	out,
		const AFFINE2D &	aff
	)

Transforms between AFFINE2D and MATRIX, where MATRIX looks like this:

| a d 0 0 |
| b e 0 0 |
| 0 0 1 0 |
| c f 0 1 |

void common::Affine2dToStr	(	tstring *	Out,
		const AFFINE2D &	aff
	)

void common::Div	(	AFFINE2D &	out,
		const AFFINE2D &	lhs,
		const AFFINE2D &	rhs
	)			[inline]

Per component division.

void common::Inverse	(	AFFINE2D &	out,
		const AFFINE2D &	aff
	)

void common::Lerp	(	AFFINE2D &	out,
		const AFFINE2D &	lhs,
		const AFFINE2D &	rhs,
		float	t
	)

void common::MatrixToAffine2d	(	AFFINE2D &	out,
		const MATRIX &	m
	)

Transforms between AFFINE2D and MATRIX, where MATRIX looks like this:

| a d 0 0 |
| b e 0 0 |
| 0 0 1 0 |
| c f 0 1 |

void common::Mul	(	AFFINE2D &	out,
		const AFFINE2D &	lhs,
		const AFFINE2D &	rhs
	)			[inline]

Per component multiplication.

void common::Rotation	(	AFFINE2D &	out,
		float	angle
	)			[inline]

void common::Scaling	(	AFFINE2D &	out,
		float	x,
		float	y
	)			[inline]

void common::Scaling	(	AFFINE2D &	out,
		const VEC2 &	v
	)			[inline]

void common::Scaling	(	AFFINE2D &	out,
		float	s
	)			[inline]

bool common::StrToAffine2d	(	AFFINE2D *	Out,
		const tstring &	Str
	)

void common::swap	(	AFFINE2D &	aff1,
		AFFINE2D &	aff2
	)			[inline]

void common::Transform	(	VEC2 &	out,
		const VEC2 &	v,
		const AFFINE2D &	aff
	)			[inline]

2D point transformation, including translation.

void common::TransformNormal	(	VEC2 &	out,
		const VEC2 &	v,
		const AFFINE2D &	aff
	)			[inline]

2D vector transformation by 2x2 submatrix, with no translation.

void common::Translation	(	AFFINE2D &	out,
		float	x,
		float	y
	)			[inline]

void common::Translation	(	AFFINE2D &	out,
		const VEC2 &	v
	)			[inline]

void common::Transpose

(

AFFINE2D &

inout

)

[inline]

Transposes the 2x2 submatrix.

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Variable Documentation

const AFFINE2D common::AFFINE2D_IDENTITY

const AFFINE2D common::AFFINE2D_ZERO