Matrix 4x4. More...

Public Member Functions
	matrix4 ()
	empty constructor (identity) More...

	matrix4 (float x00, float x01, float x02, float x03, float x10, float x11, float x12, float x13, float x20, float x21, float x22, float x23, float x30, float x31, float x32, float x33)
	direct constructor with every value More...

	matrix4 (const matrix3 &m)
	direct constructor from matrix 3 More...

float	operator() (const size_t &k1, const size_t &k2) const
	Access to the k_th entry (k in [0,3]) More...

float &	operator() (const size_t &k1, const size_t &k2)
	Access to the k_th entry (k in [0,3]) More...

const float *	pointer () const
	fast pointer access More...

float *	pointer_unprotected ()
	fast pointer access More...

matrix4	operator+ (const matrix4 &m2) const
	operator More...

matrix4	operator+ (float s) const
	operator More...

matrix4	operator- (const matrix4 &m2) const
	operator More...

matrix4	operator- (float s) const
	operator More...

matrix4	operator* (float s) const
	multiply by a scalar operator More...

vec4	operator* (const vec4 &v) const
	multiply matrix with a v4 More...

vec3	operator* (const vec3 &v) const
	multiply matrix with a v3 (assume (v3.x,v3.y,v3.z,1) and normalize) More...

matrix4	operator* (const matrix4 &m2) const
	matrix mulitplication More...

matrix4	operator/ (float s) const
	divide by a scalar operator More...

matrix4 &	operator+= (const matrix4 &m)
	internal + More...

matrix4 &	operator+= (float s)
	internal + More...

matrix4 &	operator-= (const matrix4 &m)
	internal - More...

matrix4 &	operator-= (float s)
	internal - More...

matrix4 &	operator*= (float s)
	internal * More...

matrix4 &	operator/= (float s)
	internal / More...

matrix4	operator- () const
	unary negation More...

matrix4	product_compontentwise (const matrix4 &m) const
	does componentwise multiplication More...

matrix4 &	product_compontentwise_internal (const matrix4 &m)
	does componentwise multiplication More...

matrix4	transposed () const
	transpose matrix More...

matrix4	translated (const vec3 &translation) const
	Translated matrix (return of copy of the translated matrix) More...

void	translate_internal (const vec3 &translation)
	Translated matrix (modify the matrix) More...

std::vector< float >	to_vector () const
	convert 4x4 matrix into a 16 vector of float (glMultmatrixf) More...

Static Public Member Functions
static matrix4	identity ()
	build identity matrix More...

static matrix4	zeros ()
	build zero matrix More...

static matrix4	rotation (const vec3 &axis, float angle)
	build rotation matrix More...

static matrix4	scale (float s)
	build scaling matrix More...

static matrix4	scale (float s_x, float s_y, float s_z, float s_w)
	build scaling matrix More...

static matrix4	translation (const vec3 &translation)
	build translation matrix More...

static matrix4	transformation (const matrix3 &m3, const vec3 &translation)
	build from matrix3 and translation More...

static matrix4	projection_perspective (float fovy, float aspect, float z_near, float z_far)
	build a perspective projection similar to gluPerspective More...

static matrix4	projection_frustum (float left, float right, float bottom, float top, float near, float far)
	build a perspective projection (frustum) similar to gluPerspective see: http://www.opengl.org/sdk/docs/man/xhtml/glFrustum.xml More...

static matrix4	projection_orthographic (float left, float right, float bottom, float top, float near, float far)
	build an orthographic projection similar to gluPerspective see: http://www.opengl.org/sdk/docs/man/xhtml/glOrtho.xml More...

static matrix4	projection_look_at (const matrix4 &current_matrix, const vec3 &eye, const vec3 &center, const vec3 &up)
	build a perspective projection similar to gluLookAt see: http://www.opengl.org/sdk/docs/man/xhtml/gluLookAt.xml More...

Private Member Functions
void	assert_size (const size_t &k1, const size_t &k2) const
	assert that a size_t belongs to [[0,3]] More...

Private Attributes
float	m [16]
	internal storage of the matrix More...

Detailed Description

Matrix 4x4.

Constructor & Destructor Documentation

cpe::matrix4::matrix4 ( )

empty constructor (identity)

References m.

Referenced by identity(), operator+(), operator-(), operator/(), product_compontentwise(), projection_frustum(), projection_orthographic(), projection_perspective(), rotation(), scale(), transformation(), translation(), transposed(), and zeros().

cpe::matrix4::matrix4	(	float	x00,
		float	x01,
		float	x02,
		float	x03,
		float	x10,
		float	x11,
		float	x12,
		float	x13,
		float	x20,
		float	x21,
		float	x22,
		float	x23,
		float	x30,
		float	x31,
		float	x32,
		float	x33
	)

direct constructor with every value

References m.

cpe::matrix4::matrix4 ( const matrix3 & m )

direct constructor from matrix 3

References m.

Member Function Documentation

void cpe::matrix4::assert_size	(	const size_t &	k1,
		const size_t &	k2
	)		const

private

assert that a size_t belongs to [[0,3]]

Referenced by operator()().

matrix4 cpe::matrix4::identity ( )

static

build identity matrix

References matrix4().

Here is the call graph for this function:

float cpe::matrix4::operator()	(	const size_t &	k1,
		const size_t &	k2
	)		const

Access to the k_th entry (k in [0,3])

References assert_size(), and m.

Here is the call graph for this function:

float & cpe::matrix4::operator()	(	const size_t &	k1,
		const size_t &	k2
	)

Access to the k_th entry (k in [0,3])

References assert_size(), and m.

Here is the call graph for this function:

matrix4 cpe::matrix4::operator* ( float s ) const

multiply by a scalar operator

vec4 cpe::matrix4::operator* ( const vec4 & v ) const

multiply matrix with a v4

References m, cpe::vec4::w(), cpe::vec4::x(), cpe::vec4::y(), and cpe::vec4::z().

Here is the call graph for this function:

vec3 cpe::matrix4::operator* ( const vec3 & v ) const

multiply matrix with a v3 (assume (v3.x,v3.y,v3.z,1) and normalize)

References m, cpe::vec3::x(), cpe::vec3::y(), and cpe::vec3::z().

Here is the call graph for this function:

matrix4 cpe::matrix4::operator* ( const matrix4 & m2 ) const

matrix mulitplication

References m, pointer_unprotected(), and zeros().

Here is the call graph for this function:

matrix4 & cpe::matrix4::operator*= ( float s )

internal *

References m.

matrix4 cpe::matrix4::operator+ ( const matrix4 & m2 ) const

operator

References m, matrix4(), and pointer().

Here is the call graph for this function:

matrix4 cpe::matrix4::operator+ ( float s ) const

operator

matrix4 & cpe::matrix4::operator+= ( const matrix4 & m )

internal +

References m.

matrix4 & cpe::matrix4::operator+= ( float s )

internal +

References m.

matrix4 cpe::matrix4::operator- ( const matrix4 & m2 ) const

operator

References m, and matrix4().

Here is the call graph for this function:

matrix4 cpe::matrix4::operator- ( float s ) const

operator

References m, and matrix4().

Here is the call graph for this function:

matrix4 cpe::matrix4::operator- ( ) const

unary negation

References m, and matrix4().

Here is the call graph for this function:

matrix4 & cpe::matrix4::operator-= ( const matrix4 & m )

internal -

References m.

matrix4 & cpe::matrix4::operator-= ( float s )

internal -

References m.

matrix4 cpe::matrix4::operator/ ( float s ) const

divide by a scalar operator

References m, and matrix4().

Here is the call graph for this function:

matrix4 & cpe::matrix4::operator/= ( float s )

internal /

References m.

const float * cpe::matrix4::pointer ( ) const

fast pointer access

Warning: unprotected access

References m.

Referenced by cpe::operator*(), operator+(), cpe::operator+(), cpe::operator-(), and cpe::operator<<().

float * cpe::matrix4::pointer_unprotected ( )

fast pointer access

Warning: unprotected access

References m.

Referenced by operator*().

matrix4 cpe::matrix4::product_compontentwise ( const matrix4 & m ) const

does componentwise multiplication

References m, and matrix4().

Here is the call graph for this function:

matrix4 & cpe::matrix4::product_compontentwise_internal ( const matrix4 & m )

does componentwise multiplication

References m.

matrix4 cpe::matrix4::projection_frustum	(	float	left,
		float	right,
		float	bottom,
		float	top,
		float	near,
		float	far
	)

static

build a perspective projection (frustum) similar to gluPerspective see: http://www.opengl.org/sdk/docs/man/xhtml/glFrustum.xml

References matrix4().

Here is the call graph for this function:

matrix4 cpe::matrix4::projection_look_at	(	const matrix4 &	current_matrix,
		const vec3 &	eye,
		const vec3 &	center,
		const vec3 &	up
	)

static

build a perspective projection similar to gluLookAt see: http://www.opengl.org/sdk/docs/man/xhtml/gluLookAt.xml

References cpe::vec3::cross(), translation(), cpe::vec3::x(), cpe::vec3::y(), and cpe::vec3::z().

Here is the call graph for this function:

matrix4 cpe::matrix4::projection_orthographic	(	float	left,
		float	right,
		float	bottom,
		float	top,
		float	near,
		float	far
	)

static

build an orthographic projection similar to gluPerspective see: http://www.opengl.org/sdk/docs/man/xhtml/glOrtho.xml

References matrix4().

Here is the call graph for this function:

matrix4 cpe::matrix4::projection_perspective	(	float	fovy,
		float	aspect,
		float	z_near,
		float	z_far
	)

static

build a perspective projection similar to gluPerspective

Parameters

float fovy: in radian see: http://www.opengl.org/sdk/docs/man/xhtml/gluPerspective.xml

References matrix4().

Here is the call graph for this function:

matrix4 cpe::matrix4::rotation	(	const vec3 &	axis,
		float	angle
	)

static

build rotation matrix

References matrix4(), and cpe::vec3::normalized().

Here is the call graph for this function:

matrix4 cpe::matrix4::scale ( float s )

static

build scaling matrix

References matrix4().

Here is the call graph for this function:

matrix4 cpe::matrix4::scale	(	float	s_x,
		float	s_y,
		float	s_z,
		float	s_w
	)

static

build scaling matrix

References matrix4().

Here is the call graph for this function:

std::vector< float > cpe::matrix4::to_vector ( ) const

convert 4x4 matrix into a 16 vector of float (glMultmatrixf)

References m.

matrix4 cpe::matrix4::transformation	(	const matrix3 &	m3,
		const vec3 &	translation
	)

static

build from matrix3 and translation

References matrix4(), cpe::vec3::x(), cpe::vec3::y(), and cpe::vec3::z().

Here is the call graph for this function:

void cpe::matrix4::translate_internal ( const vec3 & translation )

Translated matrix (modify the matrix)

References m, cpe::vec3::x(), cpe::vec3::y(), and cpe::vec3::z().

Referenced by translated().

Here is the call graph for this function:

matrix4 cpe::matrix4::translated ( const vec3 & translation ) const

Translated matrix (return of copy of the translated matrix)

References translate_internal().

Here is the call graph for this function:

matrix4 cpe::matrix4::translation ( const vec3 & translation )

static

build translation matrix

References matrix4(), cpe::vec3::x(), cpe::vec3::y(), and cpe::vec3::z().

Referenced by projection_look_at().

Here is the call graph for this function:

matrix4 cpe::matrix4::transposed ( ) const

transpose matrix

References m, and matrix4().

Here is the call graph for this function:

matrix4 cpe::matrix4::zeros ( )

static

build zero matrix

References matrix4().

Referenced by operator*().

Here is the call graph for this function:

Member Data Documentation

float cpe::matrix4::m[16]

private

internal storage of the matrix

Referenced by matrix4(), operator()(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator-=(), operator/(), operator/=(), pointer(), pointer_unprotected(), product_compontentwise(), product_compontentwise_internal(), to_vector(), translate_internal(), and transposed().

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

/home/damien/work/2012_2013_teaching/2013_4eti_synthese_images/2013/TP2_ray_tracing/TP_ray_tracing_test_etudiant/lib3d/matrix4.hpp
/home/damien/work/2012_2013_teaching/2013_4eti_synthese_images/2013/TP2_ray_tracing/TP_ray_tracing_test_etudiant/lib3d/matrix4.cpp

Public Member Functions

Static Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation