math2d.cpp File Reference

#include <math.h>
#include "math2d.h"

Functions
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 (float x, float y)
	apply translation to current transformation More...
void	translate (Vec2 v)
	apply translation vector to current transformation More...
void	rotate (float a, float aspect)
	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)
	get current rotation angle More...
float	scaling (float aspect)
	get current scaling factor More...

Variables
static const int	mat3_stack_max = 100
static int	mat3_stack_size = 0
static Mat3	mat3_stack [mat3_stack_max]

Function Documentation

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

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

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

Variable Documentation

mat3_stack

Mat3 mat3_stack[mat3_stack_max]

static

mat3_stack_max

const int mat3_stack_max = 100

static

mat3_stack_size

int mat3_stack_size = 0

static