cpe::matrix4 Class Reference

Matrix 4x4. More...

Public Member Functions
	matrix4 ()
	empty constructor (identity)
	matrix4 (const double &x00, const double &x01, const double &x02, const double &x03, const double &x10, const double &x11, const double &x12, const double &x13, const double &x20, const double &x21, const double &x22, const double &x23, const double &x30, const double &x31, const double &x32, const double &x33)
	direct constructor with every value
	matrix4 (const matrix3 &m)
	direct constructor from matrix 3
const double &	operator() (const size_t &k1, const size_t &k2) const
	Access to the k_th entry (k in [0,3])
double &	operator() (const size_t &k1, const size_t &k2)
	Access to the k_th entry (k in [0,3])
const double *	pointer () const
	fast pointer access
double *	pointer_unprotected ()
	fast pointer access
matrix4	operator+ (const matrix4 &m2) const
	operator
matrix4	operator+ (const double &s) const
	operator
matrix4	operator- (const matrix4 &m2) const
	operator
matrix4	operator- (const double &s) const
	operator
matrix4	operator* (const double &s) const
	multiply by a scalar operator
v4	operator* (const v4 &v) const
	multiply matrix with a v4
v3	operator* (const v3 &v) const
	multiply matrix with a v3 (assume (v3.x,v3.y,v3.z,1) and normalize)
matrix4	operator* (const matrix4 &m2) const
	matrix mulitplication
matrix4	operator/ (const double &s) const
	divide by a scalar operator
matrix4 &	operator+= (const matrix4 &m)
	internal +
matrix4 &	operator+= (const double &s)
	internal +
matrix4 &	operator-= (const matrix4 &m)
	internal -
matrix4 &	operator-= (const double &s)
	internal -
matrix4 &	operator*= (const double &s)
	internal *
matrix4 &	operator/= (const double &s)
	internal /
matrix4	operator- () const
	unary negation
matrix4	product_compontentwise (const matrix4 &m) const
	does componentwise multiplication
matrix4 &	product_compontentwise_internal (const matrix4 &m)
	does componentwise multiplication
matrix4	transposed () const
	transpose matrix
matrix4	translated (const v3 &translation) const
	Translated matrix (return of copy of the translated matrix)
void	translate_internal (const v3 &translation)
	Translated matrix (modify the matrix)
std::vector< double >	to_vector () const
	convert 4x4 matrix into a 16 vector of double (glMultmatrixf)

Static Public Member Functions
static matrix4	identity ()
	build identity matrix
static matrix4	zeros ()
	build zero matrix
static matrix4	rotation (const v3 &axis, const double &angle)
	build rotation matrix
static matrix4	scale (const double &s)
	build scaling matrix
static matrix4	scale (const double &s_x, const double &s_y, const double &s_z, const double &s_w)
	build scaling matrix
static matrix4	translation (const v3 &translation)
	build translation matrix
static matrix4	transformation (const matrix3 &m3, const v3 &translation)
	build from matrix3 and translation
static matrix4	projection_perspective (const double &fovy, const double &aspect, const double &z_near, const double &z_far)
	build a perspective projection similar to gluPerspective
static matrix4	projection_frustum (const double &left, const double &right, const double &bottom, const double &top, const double &near, const double &far)
	build a perspective projection (frustum) similar to gluPerspective see: http://www.opengl.org/sdk/docs/man/xhtml/glFrustum.xml
static matrix4	projection_orthographic (const double &left, const double &right, const double &bottom, const double &top, const double &near, const double &far)
	build an orthographic projection similar to gluPerspective see: http://www.opengl.org/sdk/docs/man/xhtml/glOrtho.xml
static matrix4	projection_look_at (const matrix4 &current_matrix, const v3 &eye, const v3 &center, const v3 &up)
	build a perspective projection similar to gluLookAt see: http://www.opengl.org/sdk/docs/man/xhtml/gluLookAt.xml

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

Private Attributes
double	m [16]
	internal storage of the matrix

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	(	const double &	x00,
		const double &	x01,
		const double &	x02,
		const double &	x03,
		const double &	x10,
		const double &	x11,
		const double &	x12,
		const double &	x13,
		const double &	x20,
		const double &	x21,
		const double &	x22,
		const double &	x23,
		const double &	x30,
		const double &	x31,
		const double &	x32,
		const double &	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()().

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matrix4 cpe::matrix4::identity ( )

static

build identity matrix

References matrix4().

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const double & 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.

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double & 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.

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matrix4 cpe::matrix4::operator*

(

const double &

s

)

const

multiply by a scalar operator

References m.

v4 cpe::matrix4::operator*

(

const v4 &

v

)

const

multiply matrix with a v4

References m, cpe::v4::w(), cpe::v4::x(), cpe::v4::y(), and cpe::v4::z().

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v3 cpe::matrix4::operator*

(

const v3 &

v

)

const

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

References m, cpe::v3::x(), cpe::v3::y(), and cpe::v3::z().

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matrix4 cpe::matrix4::operator*

(

const matrix4 &

m2

)

const

matrix mulitplication

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

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matrix4 & cpe::matrix4::operator*=

(

const double &

s

)

internal *

References m.

matrix4 cpe::matrix4::operator+

(

const matrix4 &

m2

)

const

• operator

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

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matrix4 cpe::matrix4::operator+

(

const double &

s

)

const

• operator

matrix4 & cpe::matrix4::operator+=

(

const matrix4 &

m

)

internal +

References m.

matrix4 & cpe::matrix4::operator+=

(

const double &

s

)

internal +

References m.

matrix4 cpe::matrix4::operator-

(

const matrix4 &

m2

)

const

• operator

References m, and matrix4().

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matrix4 cpe::matrix4::operator-

(

const double &

s

)

const

• operator

References m, and matrix4().

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matrix4 cpe::matrix4::operator-

(

)

const

unary negation

References m, and matrix4().

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matrix4 & cpe::matrix4::operator-=

(

const matrix4 &

m

)

internal -

References m.

matrix4 & cpe::matrix4::operator-=

(

const double &

s

)

internal -

References m.

matrix4 cpe::matrix4::operator/

(

const double &

s

)

const

divide by a scalar operator

References m, and matrix4().

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matrix4 & cpe::matrix4::operator/=

(

const double &

s

)

internal /

References m.

const double * cpe::matrix4::pointer

(

)

const

fast pointer access

Warning

unprotected access

References m.

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

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double * cpe::matrix4::pointer_unprotected

(

)

fast pointer access

Warning

unprotected access

References m.

Referenced by operator*().

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matrix4 cpe::matrix4::product_compontentwise

(

const matrix4 &

m

)

const

does componentwise multiplication

References m, and matrix4().

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matrix4 & cpe::matrix4::product_compontentwise_internal

(

const matrix4 &

m

)

does componentwise multiplication

References m.

matrix4 cpe::matrix4::projection_frustum ( const double &  left, const double &  right, const double &  bottom, const double &  top, const double &  near, const double &  far  )

static

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

References matrix4().

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matrix4 cpe::matrix4::projection_look_at ( const matrix4 &  current_matrix, const v3 &  eye, const v3 &  center, const v3 &  up  )

static

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

References cpe::v3::cross(), translation(), cpe::v3::x(), cpe::v3::y(), and cpe::v3::z().

Referenced by main().

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matrix4 cpe::matrix4::projection_orthographic ( const double &  left, const double &  right, const double &  bottom, const double &  top, const double &  near, const double &  far  )

static

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

References matrix4().

Referenced by main().

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matrix4 cpe::matrix4::projection_perspective ( const double &  fovy, const double &  aspect, const double &  z_near, const double &  z_far  )

static

build a perspective projection similar to gluPerspective

Parameters

double

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

References matrix4().

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matrix4 cpe::matrix4::rotation ( const v3 &  axis, const double &  angle  )

static

build rotation matrix

References matrix4(), and cpe::v3::normalized().

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matrix4 cpe::matrix4::scale ( const double &  s )

static

build scaling matrix

References matrix4().

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matrix4 cpe::matrix4::scale ( const double &  s_x, const double &  s_y, const double &  s_z, const double &  s_w  )

static

build scaling matrix

References matrix4().

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std::vector< double > cpe::matrix4::to_vector

(

)

const

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

References m.

matrix4 cpe::matrix4::transformation ( const matrix3 &  m3, const v3 &  translation  )

static

build from matrix3 and translation

References matrix4(), cpe::v3::x(), cpe::v3::y(), and cpe::v3::z().

Referenced by main().

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void cpe::matrix4::translate_internal

(

const v3 &

translation

)

Translated matrix (modify the matrix)

References m, cpe::v3::x(), cpe::v3::y(), and cpe::v3::z().

Referenced by translated().

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matrix4 cpe::matrix4::translated

(

const v3 &

translation

)

const

Translated matrix (return of copy of the translated matrix)

References translate_internal().

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matrix4 cpe::matrix4::translation ( const v3 &  translation )

static

build translation matrix

References matrix4(), cpe::v3::x(), cpe::v3::y(), and cpe::v3::z().

Referenced by projection_look_at().

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matrix4 cpe::matrix4::transposed

(

)

const

transpose matrix

References m, and matrix4().

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matrix4 cpe::matrix4::zeros ( )

static

build zero matrix

References matrix4().

Referenced by operator*().

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Member Data Documentation

double 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().

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

• /home/damien/work/2012_2013_teaching/2012_5eti_synthese/lib3d/matrix4.hpp
• /home/damien/work/2012_2013_teaching/2012_5eti_synthese/lib3d/matrix4.cpp