mat4 Class Reference

4x4 double matrix More...

#include <glslmath.h>

Public Member Functions
	mat4 (double diag=1.0)
	default constructor
	mat4 (const vec4 &diag)
	custom constructor
	mat4 (const vec4 &r1, const vec4 &r2, const vec4 &r3, const vec4 &r4=vec4(0, 0, 0, 1))
	custom constructor
	mat4 (const mat3 &m)
	copy constructor
	mat4 (const mat4f &m)
	copy constructor
vec4	operator[] (const int i) const
	subscript operator (column getter)
vec4	row (const int i) const
	row getter
vec4	col (const int i) const
	column getter
	operator mat3 () const
	down cast operator
mat3	getRotation () const
	get 3x3 rotation submatrix (matrix is assumed to be orthonormal)
vec3	getTranslation () const
	get translation column vector (matrix is assumed to be affine)
const double *	c_ptr () const
	const pointer to column-major array
	operator const double * () const
	cast operator to column-major array
void	fromOpenGL (const double m[16])
	convert from 16-element column-major OpenGL matrix
double	det () const
	calculate determinant of 4x4 matrix
mat4	transpose () const
	transpose 4x4 matrix
mat4	invert () const
	invert 4x4 matrix
mat4 &	operator+= (const mat4 &m)
	inplace addition
mat4 &	operator*= (const mat4 &m)
	inplace multiplication
mat4 &	operator<<= (const mat4 &m)
	inplace multiplication (left-hand side)
mat4 &	operator>>= (const mat4 &m)
	inplace multiplication (right-hand side)
	operator std::string ()
	string cast operator

Static Public Member Functions
static mat4	columns (const vec4 &c1, const vec4 &c2, const vec4 &c3, const vec4 &c4)
	construct matrix from column vectors
static mat4	columns (double a, double b, double c, double d, double e, double f, double g, double h, double i, double j, double k, double l, double m, double n, double o, double p)
	construct matrix from column vectors
static mat4	rows (const vec4 &r1, const vec4 &r2, const vec4 &r3, const vec4 &r4)
	construct matrix from row vectors
static mat4	rows (double a, double b, double c, double d, double e, double f, double g, double h, double i, double j, double k, double l, double m, double n, double o, double p)
	construct matrix from row vectors
static double	det (const mat4 &m)
	static version of determinant operation
static mat4	transpose (const mat4 &m)
	static version of transpose operation
static mat4	invert (const mat4 &m)
	static version of invert operation
static mat4	scale (double s, double t, double r, double w=1.0)
	create scaling matrix
static mat4	scale (const vec4 &c)
	create scaling matrix
static mat4	translate (double x, double y, double z)
	create translation matrix
static mat4	translate (const vec4 &v)
	create translation matrix
static mat4	rotate (double angle, double vx, double vy, double vz)
	create rotation matrix More...
static mat4	rotate (double angle, const vec3 &v)
	create rotation matrix More...
static mat4	rotate (const vec3 &from, const vec3 &to)
	create rotation matrix More...
static mat4	rigid (double a, const vec3 &v, const vec3 &t)
	create rigid-body transformation matrix More...
static mat4	transform (const mat3 &m, const vec3 &v)
	create affine (resp. More...
static mat4	transform (const vec3 &o, const vec3 &x, const vec3 &y, const vec3 &z)
	create affine transformation matrix More...
static mat4	transform (const vec3 &from, const vec3 &to, const vec3 &up=vec3(0, 1, 0), bool scale=true)
	create linear transformation matrix More...
static mat4	ortho (double l, double r, double b, double t, double n=-1, double f=1)
	create orthographic matrix
static mat4	frustum (double l, double r, double b, double t, double n, double f)
	create frustum matrix
static mat4	parallel (const vec3 &p, const vec3 &n, const vec3 &d)
	create parallel projection matrix
static mat4	perspective (double fovy, double aspect, double znear, double zfar)
	create perspective matrix
static mat4	lookat (const vec3 &eye, const vec3 &center, const vec3 &up=vec3(0, 1, 0))
	create lookat matrix

Protected Attributes
union {
};
	matrix elements

Detailed Description

4x4 double matrix

• definition of matrix via constructor taking four row vectors
• supplies matrix operators + and *

Member Function Documentation

rigid()

static mat4 mat4::rigid ( double  a, const vec3 &  v, const vec3 &  t  )

inlinestatic

create rigid-body transformation matrix

• a is the rotation angle
• v is the rotation axis
• t is the translation vector

rotate() [1/3]

static mat4 mat4::rotate ( const vec3 &  from, const vec3 &  to  )

inlinestatic

create rotation matrix

• rotation is specified as a transformation from one direction to another one

rotate() [2/3]

static mat4 mat4::rotate ( double  angle, const vec3 &  v  )

inlinestatic

create rotation matrix

• rotation angle is specified clockwise in OpenGL coordinates

rotate() [3/3]

static mat4 mat4::rotate ( double  angle, double  vx, double  vy, double  vz  )

inlinestatic

create rotation matrix

• rotation angle is specified clockwise in OpenGL coordinates

transform() [1/3]

mat4 mat4::transform ( const mat3 &  m, const vec3 &  v  )

inlinestatic

create affine (resp.

create affine (resp. linear) transformation matrix

linear) transformation matrix

• m is the rotation (resp. linear) matrix
• v is the translation vector

transform() [2/3]

mat4 mat4::transform ( const vec3 &  from, const vec3 &  to, const vec3 &  up = vec3(0,1,0), bool  scale = true  )

inlinestatic

create linear transformation matrix

• from is the transformed left point
• to is the transformed right point
• normal is the transformed orthogonal up vector

transform() [3/3]

mat4 mat4::transform ( const vec3 &  o, const vec3 &  x, const vec3 &  y, const vec3 &  z  )

inlinestatic

create affine transformation matrix

• o is the origin of the transformed coordinate system
• x/y/z are the (unit length) base vectors of the transformed coordinate system

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

• glslmath.h