math2d.h File Reference

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Classes
struct	Vec2
	2D vector type More...
struct	Vec3
	3D vector type More...
struct	Mat3
	3D matrix type More...

Functions
Vec2	vec2 (float x=0, float y=0)
	2D vector construction from components x and y More...
Vec3	vec3 (float x=0, float y=0, float z=1)
	3D vector construction from components x, y and z More...
Vec3	vec3 (Vec2 v)
	3D vector construction from 2D vector More...
Mat3	mat3 (float r1x=1, float r1y=0, float r1z=0, float r2x=0, float r2y=1, float r2z=0, float r3x=0, float r3y=0, float r3z=1)
	3D matrix construction More...
Vec2	add2 (Vec2 a, Vec2 b)
	2D vector addition More...
Vec2	sub2 (Vec2 a, Vec2 b)
	2D vector subtraction More...
Vec2	mul2 (Vec2 a, Vec2 b)
	2D vector multiplication More...
Vec2	mul2s (Vec2 a, float s)
	2D vector multiplication with scalar value More...
float	dot2 (Vec2 a, Vec2 b)
	2D dot product More...
float	dot3 (Vec3 a, Vec3 b)
	3D dot product More...
Vec3	row1 (const Mat3 &m)
	get 3D matrix row More...
Vec3	row2 (const Mat3 &m)
Vec3	row3 (const Mat3 &m)
Vec3	col1 (const Mat3 &m)
	get 3D matrix column More...
Vec3	col2 (const Mat3 &m)
Vec3	col3 (const Mat3 &m)
Mat3	mul3 (const Mat3 &m1, const Mat3 &m2)
	3D matrix multiplication More...
Vec2	mul3v (const Mat3 &m, Vec3 v)
	3D matrix multiplication with right-hand side vector More...
int	vec2_x (Vec2 v)
	convert x-component of 2D vector to rounded int More...
int	vec2_y (Vec2 v)
	convert y-component of 2D vector to rounded int More...
int	vec3_x (Vec3 v)
	convert x-component of 3D vector to rounded int More...
int	vec3_y (Vec3 v)
	convert y-component of 3D vector to rounded int More...
int	vec3_z (Vec3 v)
	convert z-component of 3D vector to rounded int More...
Mat3	top ()
	get current transformation represented by a 3x3 homogeneous matrix the current transformation is the top of the matrix stack More...
void	push ()
	push current transformation this duplicates the current matrix on top of the matrix stack More...
void	replace (const Mat3 &m)
	replace current transformation with a given transformation matrix More...
Mat3	pop ()
	pop current transformation this removes the current matrix on top of the matrix stack More...
void	translate (Vec2 v)
	apply translation vector to current transformation More...
void	translate (float x, float y)
	apply translation to current transformation More...
void	rotate (float a, float aspect=2)
	apply clockwise rotation to current transformation More...
void	scale (float f)
	apply uniform scaling factor to current transformation More...
void	scale (float s, float t)
	apply non-uniform scaling to current transformation More...
Vec2	translation ()
	get current translation vector More...
float	rotation (float aspect=2)
	get current rotation angle More...
float	scaling (float aspect=2)
	get current scaling factor More...

Function Documentation

add2()

Vec2 add2 ( Vec2  a, Vec2  b  )

inline

2D vector addition

col1()

Vec3 col1 ( const Mat3 &  m )

inline

get 3D matrix column

col2()

Vec3 col2 ( const Mat3 &  m )

inline

col3()

Vec3 col3 ( const Mat3 &  m )

inline

dot2()

float dot2 ( Vec2  a, Vec2  b  )

inline

2D dot product

dot3()

float dot3 ( Vec3  a, Vec3  b  )

inline

3D dot product

mat3()

Mat3 mat3 ( float  r1x = 1, float  r1y = 0, float  r1z = 0, float  r2x = 0, float  r2y = 1, float  r2z = 0, float  r3x = 0, float  r3y = 0, float  r3z = 1  )

inline

3D matrix construction

mul2()

Vec2 mul2 ( Vec2  a, Vec2  b  )

inline

2D vector multiplication

mul2s()

Vec2 mul2s ( Vec2  a, float  s  )

inline

2D vector multiplication with scalar value

mul3()

Mat3 mul3 ( const Mat3 &  m1, const Mat3 &  m2  )

inline

3D matrix multiplication

mul3v()

Vec2 mul3v ( const Mat3 &  m, Vec3  v  )

inline

3D matrix multiplication with right-hand side vector

pop()

Mat3 pop

(

)

pop current transformation this removes the current matrix on top of the matrix stack

push()

void push

(

)

push current transformation this duplicates the current matrix on top of the matrix stack

replace()

void replace

(

const Mat3 &

m

)

replace current transformation with a given transformation matrix

rotate()

void rotate	(	float	a,
		float	aspect = 2
	)

apply clockwise rotation to current transformation

• the current transformation matrix is multiplied with a rotation matrix
• defined by a rotation angle a given in degrees
• the rotation aspect is 2 by default for characters two times higher than wide

rotation()

float rotation

(

float

aspect = 2

)

get current rotation angle

• does not work for non-uniformly scaled transformations
• the rotation aspect is 2 by default for characters two times higher than wide

row1()

Vec3 row1 ( const Mat3 &  m )

inline

get 3D matrix row

row2()

Vec3 row2 ( const Mat3 &  m )

inline

row3()

Vec3 row3 ( const Mat3 &  m )

inline

scale() [1/2]

void scale

(

float

f

)

apply uniform scaling factor to current transformation

• the current transformation matrix is multiplied with a scaling matrix
• defined by the scaling factor f in x- and y-direction

scale() [2/2]

void scale	(	float	s,
		float	t
	)

apply non-uniform scaling to current transformation

• the current transformation matrix is multiplied with a scaling matrix
• defined by the scaling factors in x- and y-direction s and t

scaling()

float scaling

(

float

aspect = 2

)

get current scaling factor

• does not work for non-uniformly scaled transformations
• the rotation aspect is 2 by default for characters two times higher than wide

sub2()

Vec2 sub2 ( Vec2  a, Vec2  b  )

inline

2D vector subtraction

top()

Mat3 top

(

)

get current transformation represented by a 3x3 homogeneous matrix the current transformation is the top of the matrix stack

translate() [1/2]

void translate	(	float	x,
		float	y
	)

apply translation to current transformation

• the current transformation matrix is multiplied with a translation matrix
• defined by the translation vector (x, y)

translate() [2/2]

void translate

(

Vec2

v

)

apply translation vector to current transformation

• the current transformation matrix is multiplied with a translation matrix
• defined by the translation vector v

translation()

Vec2 translation

(

)

get current translation vector

vec2()

Vec2 vec2 ( float  x = 0, float  y = 0  )

inline

2D vector construction from components x and y

vec2_x()

int vec2_x ( Vec2  v )

inline

convert x-component of 2D vector to rounded int

vec2_y()

int vec2_y ( Vec2  v )

inline

convert y-component of 2D vector to rounded int

vec3() [1/2]

Vec3 vec3 ( float  x = 0, float  y = 0, float  z = 1  )

inline

3D vector construction from components x, y and z

• homogeneous coordinate z is 1 by default

vec3() [2/2]

Vec3 vec3 ( Vec2  v )

inline

3D vector construction from 2D vector

• homogeneous coordinate is complemented to be 1

vec3_x()

int vec3_x ( Vec3  v )

inline

convert x-component of 3D vector to rounded int

vec3_y()

int vec3_y ( Vec3  v )

inline

convert y-component of 3D vector to rounded int

vec3_z()

int vec3_z ( Vec3  v )

inline

convert z-component of 3D vector to rounded int