X3DTK::SFMatrix34f Class Reference
[base]

Class declared in <X3DTK/kernel.h> providing a 4*4 matrix in homogeneous coordinates. More...

List of all members.

Public Member Functions

SFMatrix34f ()
SFMatrix34f (float _11, float _21, float _31, float _12, float _22, float _32, float _13, float _23, float _33, float _14, float _24, float _34)
SFMatrix34f (const float GLMatrix[16])
SFMatrix34f (const SFVec3f &vx, const SFVec3f &vy, const SFVec3f &vz, const SFPoint3f &p)
SFMatrix34f (const SFVec3f &translation, const SFVec3f &center, const SFRotation &rotation, const SFRotation &scaleOrientation, const SFVec3f &scale)
SFMatrix34f (const SFMatrix34f &m)
SFMatrix34f i ()
SFMatrix34f iu ()
float * toFloat16 () const

Static Public Member Functions

SFMatrix34f scale34 (float sx, float sy, float sz)
SFMatrix34f rotationX (float angle)
SFMatrix34f rotationY (float angle)
SFMatrix34f rotationZ (float angle)
SFMatrix34f translation (const SFVec3f &t)
SFMatrix34f rotation (float angle, const SFVec3f &u)

Public Attributes

float _11
float _21
float _31
float _12
float _22
float _32
float _13
float _23
float _33
float _14
float _24
float _34

Static Public Attributes

const SFMatrix34f null
const SFMatrix34f identity

Friends

SFMatrix34f operator+ (const SFMatrix34f &m1, const SFMatrix34f &m2)
SFMatrix34f operator- (const SFMatrix34f &m1, const SFMatrix34f &m2)
SFMatrix34f operator * (const SFMatrix34f &m1, const SFMatrix34f &m2)
SFMatrix34f operator * (const float a, const SFMatrix34f &m)
SFVec3f operator * (const SFMatrix34f &m, const SFVec3f &v)
SFPoint3f operator * (const SFMatrix34f &m, const SFPoint3f &v)
bool operator== (const SFMatrix34f &A, const SFMatrix34f &B)
bool operator!= (const SFMatrix34f &A, const SFMatrix34f &B)

Detailed Description

Class declared in <X3DTK/kernel.h> providing a 4*4 matrix in homogeneous coordinates.

The matrices are represented by 3*4 elements to economize memory and unnecessary calculus. The fourth coordinates is not represented because the first three columns represent the vectors and the fourth the point.

Constructor & Destructor Documentation

X3DTK::SFMatrix34f::SFMatrix34f ( )

Constructor.

X3DTK::SFMatrix34f::SFMatrix34f ( float _11,

float _21,

float _31,

float _12,

float _22,

float _32,

float _13,

float _23,

float _33,

float _14,

float _24,

float _34

)

Constructor with the coordinates in parameters.

X3DTK::SFMatrix34f::SFMatrix34f ( const float GLMatrix[16] ) [explicit]

Constructor from a GL matrix.

X3DTK::SFMatrix34f::SFMatrix34f ( const SFVec3f & vx,

const SFVec3f & vy,

const SFVec3f & vz,

const SFPoint3f & p

)

Constructor from the three vectors and the point.

X3DTK::SFMatrix34f::SFMatrix34f ( const SFVec3f & translation,

const SFVec3f & center,

const SFRotation & rotation,

const SFRotation & scaleOrientation,

const SFVec3f & scale

)

Constructor from an X3D::Transform attributes.

X3DTK::SFMatrix34f::SFMatrix34f ( const SFMatrix34f & m )

Copy constructor.

Member Function Documentation

SFMatrix34f X3DTK::SFMatrix34f::i ( )

General inverse of the matrix.

SFMatrix34f X3DTK::SFMatrix34f::iu ( )

Inverse of the matrix taking in account that the matrix is unit and performing the operation faster than i().

SFMatrix34f X3DTK::SFMatrix34f::rotation ( float angle,

const SFVec3f & u

) [static]

Returns a general rotation matrix.

SFMatrix34f X3DTK::SFMatrix34f::rotationX ( float angle ) [static]

Returns a rotation matrix around the x axis.

SFMatrix34f X3DTK::SFMatrix34f::rotationY ( float angle ) [static]

Returns a rotation matrix around the y axis.

SFMatrix34f X3DTK::SFMatrix34f::rotationZ ( float angle ) [static]

Returns a rotation matrix around the z axis.

SFMatrix34f X3DTK::SFMatrix34f::scale34 ( float sx,

float sy,

float sz

) [static]

Returns a scale matrix.

float* X3DTK::SFMatrix34f::toFloat16 ( ) const

Conversion to float[16].

SFMatrix34f X3DTK::SFMatrix34f::translation ( const SFVec3f & t ) [static]

Returns a translation matrix.

Friends And Related Function Documentation

SFPoint3f operator * ( const SFMatrix34f & m,

const SFPoint3f & v

) [friend]

Overloaded operator*.

SFVec3f operator * ( const SFMatrix34f & m,

const SFVec3f & v

) [friend]

Overloaded operator*.

SFMatrix34f operator * ( const float a,

const SFMatrix34f & m

) [friend]

Overloaded operator*.

SFMatrix34f operator * ( const SFMatrix34f & m1,

const SFMatrix34f & m2

) [friend]

Overloaded operator*.

bool operator!= ( const SFMatrix34f & A,

const SFMatrix34f & B

) [friend]

Overloaded operator*.

SFMatrix34f operator+ ( const SFMatrix34f & m1,

const SFMatrix34f & m2

) [friend]

Overloaded operator+.

SFMatrix34f operator- ( const SFMatrix34f & m1,

const SFMatrix34f & m2

) [friend]

Overloaded operator-.

bool operator== ( const SFMatrix34f & A,

const SFMatrix34f & B

) [friend]

Overloaded operator*.

Member Data Documentation

float X3DTK::SFMatrix34f::_11

1, 1 coordinate.

float X3DTK::SFMatrix34f::_12

1, 2 coordinate.

float X3DTK::SFMatrix34f::_13

1, 3 coordinate.

float X3DTK::SFMatrix34f::_14

1, 4 coordinate.

float X3DTK::SFMatrix34f::_21

2, 1 coordinate.

float X3DTK::SFMatrix34f::_22

2, 2 coordinate.

float X3DTK::SFMatrix34f::_23

2, 3 coordinate.

float X3DTK::SFMatrix34f::_24

2, 4 coordinate.

float X3DTK::SFMatrix34f::_31

3, 1 coordinate.

float X3DTK::SFMatrix34f::_32

3, 2 coordinate.

float X3DTK::SFMatrix34f::_33

3, 3 coordinate.

float X3DTK::SFMatrix34f::_34

3, 4 coordinate.

const SFMatrix34f X3DTK::SFMatrix34f::identity [static]

Identity matrix.

const SFMatrix34f X3DTK::SFMatrix34f::null [static]

null matrix

Generated on Fri Jul 30 12:02:34 2004 for X3DToolKit by

1.3.6

X3DTK::SFMatrix34f Class Reference [base]