BALL::TMatrix4x4

BALL::TMatrix4x4< T > Class Template Reference
[4x4 Matrix]

#include <BALL/MATHS/matrix44.h>

List of all members.


Public Member Functions

Constructors and Destructors
 TMatrix4x4 ()
 TMatrix4x4 (const T *ptr) throw (Exception::NullPointer)
 TMatrix4x4 (const T ptr[4][4]) throw (Exception::NullPointer)
 TMatrix4x4 (const TMatrix4x4 &m)
 TMatrix4x4 (const TVector4< T > &col1, const TVector4< T > &col2, const TVector4< T > &col3, const TVector4< T > &col4)
 TMatrix4x4 (const T &m11, const T &m12, const T &m13, const T &m14, const T &m21, const T &m22, const T &m23, const T &m24, const T &m31, const T &m32, const T &m33, const T &m34, const T &m41, const T &m42, const T &m43, const T &m44)
virtual ~TMatrix4x4 ()
virtual void clear ()
Assignment
void set (const T *ptr) throw (Exception::NullPointer)
void set (const T ptr[4][4]) throw (Exception::NullPointer)
void set (const TMatrix4x4 &m)
void set (const TVector4< T > &col1, const TVector4< T > &col2, const TVector4< T > &col3, const TVector4< T > &col4)
void set (const T &m11, const T &m12, const T &m13, const T &m14, const T &m21, const T &m22, const T &m23, const T &m24, const T &m31, const T &m32, const T &m33, const T &m34, const T &m41, const T &m42, const T &m43, const T &m44)
TMatrix4x4 & operator= (const T *ptr) throw (Exception::NullPointer)
TMatrix4x4 & operator= (const T ptr[4][4]) throw (Exception::NullPointer)
TMatrix4x4 & operator= (const TMatrix4x4 &m)
void get (T *ptr) const throw (Exception::NullPointer)
void get (T ptr[4][4]) const throw (Exception::NullPointer)
void get (TMatrix4x4 &m) const
void get (TVector4< T > &col1, TVector4< T > &col2, TVector4< T > &col3, TVector4< T > &col4) const
void get (T &m11, T &m12, T &m13, T &m14, T &m21, T &m22, T &m23, T &m24, T &m31, T &m32, T &m33, T &m34, T &m41, T &m42, T &m43, T &m44) const
void swap (TMatrix4x4 &m)
Predicates
bool operator== (const TMatrix4x4 &m) const
bool operator!= (const TMatrix4x4 &m) const
bool isIdentity () const
bool isRegular () const
bool isSingular () const
bool isSymmetric () const
bool isLowerTriangular () const
bool isUpperTriangular () const
bool isDiagonal () const
Debugging and Diagnostics
bool isValid () const
void dump (std::ostream &s=std::cout, Size depth=0) const

Public Attributes

Attributes
T m11
 

1st cell in the 1st row


T m12
 

2nd cell in the 1st row


T m13
 

3rd cell in the 1st row


T m14
 

4th cell in the 1st row


T m21
 

1st cell in the 2nd row


T m22
 

2nd cell in the 2nd row


T m23
 

3rd cell in the 2nd row


T m24
 

4th cell in the 2nd row


T m31
 

1st cell in the 3rd row


T m32
 

2nd cell in the 3rd row


T m33
 

3rd cell in the 3rd row


T m34
 

4th cell in the 3rd row


T m41
 

1st cell in the 4th row


T m42
 

2nd cell in the 4th row


T m43
 

3rd cell in the 4th row


T m44
 

4th cell in the 4th row



Private Member Functions

void initializeComponentPointers_ ()

Private Attributes

T * comp_ptr_ [16]

Accessors

T getTrace () const
void setIdentity ()
void set (const T &t=(T) 1)
void transpose ()
TVector4< T > getRow (Position row) const throw (Exception::IndexOverflow)
TVector4< T > getColumn (Position col) const throw (Exception::IndexOverflow)
void setRow (Position row, const TVector4< T > &row_value) throw (Exception::IndexOverflow)
void setColumn (Position col, const TVector4< T > &col_value) throw (Exception::IndexOverflow)
bool isEqual (const TMatrix4x4 &m) const
TVector4< T > getDiagonal () const
T & operator() (Position row, Position col) throw (Exception::IndexOverflow)
const T & operator() (Position row, Position col) const throw (Exception::IndexOverflow)
const T & operator[] (Position position) const throw (Exception::IndexOverflow)
T & operator[] (Position position) throw (Exception::IndexOverflow)
TMatrix4x4 operator+ () const
TMatrix4x4 operator- () const
TMatrix4x4 operator+ (const TMatrix4x4 &m) const
TMatrix4x4 & operator+= (const TMatrix4x4 &m)
TMatrix4x4 operator- (const TMatrix4x4 &m) const
TMatrix4x4 & operator-= (const TMatrix4x4 &m)
TMatrix4x4 operator* (const T &scalar) const
TMatrix4x4 & operator*= (const T &scalar)
TMatrix4x4 operator/ (const T &scalar) const throw (Exception::DivisionByZero)
TMatrix4x4 & operator/= (const T &scalar) throw (Exception::DivisionByZero)
TMatrix4x4 operator* (const TMatrix4x4 &m) const
TMatrix4x4 & operator*= (const TMatrix4x4 &m)
TVector4< T > operator* (const TVector4< T > &vector) const
bool invert (TMatrix4x4 &inverse) const
bool invert ()
T getDeterminant () const
void translate (const T &x, const T &y, const T &z)
void translate (const TVector3< T > &v)
void setTranslation (const T &x, const T &y, const T &z)
void setTranslation (const TVector3< T > &v)
void scale (const T &x_scale, const T &y_scale, const T &z_scale)
void scale (const T &scale)
void scale (const TVector3< T > &v)
void setScale (const T &x_scale, const T &y_scale, const T &z_scale)
void setScale (const T &scale)
void setScale (const TVector3< T > &v)
void rotateX (const TAngle< T > &phi)
void setRotationX (const TAngle< T > &phi)
void rotateY (const TAngle< T > &phi)
void setRotationY (const TAngle< T > &phi)
void rotateZ (const TAngle< T > &phi)
void setRotationZ (const TAngle< T > &phi)
void rotate (const TAngle< T > &phi, const T &axis_x, const T &axis_y, const T &axis_z)
void rotate (const TAngle< T > &phi, const TVector3< T > &axis)
void rotate (const TAngle< T > &phi, const TVector4< T > &axis)
void setRotation (const TAngle< T > &phi, const T &axis_x, const T &axis_y, const T &axis_z)
void setRotation (const TAngle< T > &phi, const TVector3< T > &axis)
void setRotation (const TAngle< T > &phi, const TVector4< T > &axis)
static const TMatrix4x4 & getZero ()
static const TMatrix4x4 & getIdentity ()

Detailed Description

template<typename T>
class BALL::TMatrix4x4< T >

Generic 4x4 Matrix Class.

Constructor & Destructor Documentation

template<typename T >
BALL::TMatrix4x4< T >::TMatrix4x4 (  )  [inline]

Default constructor. This method creates a new TMatrix4x4 object. The components are initialized to 0.

References BALL::TMatrix4x4< T >::initializeComponentPointers_().

template<typename T>
BALL::TMatrix4x4< T >::TMatrix4x4 ( const T *  ptr  )  throw (Exception::NullPointer) [inline]

Array constructor. This constructor creates a TMatrix4x4 object from the first sixteen elements pointed to by ptr.

Parameters:
ptr the array to construct from
Exceptions:
NullPointer if ptr == 0
template<typename T>
BALL::TMatrix4x4< T >::TMatrix4x4 ( const T  ptr[4][4]  )  throw (Exception::NullPointer) [inline]

Array constructor. This constructor creates a TMatrix4x4 object from the sixteen elements in the array assigned by ptr.

Parameters:
ptr the array to construct from
Exceptions:
NullPointer if ptr == 0
template<typename T>
BALL::TMatrix4x4< T >::TMatrix4x4 ( const TMatrix4x4< T > &  m  )  [inline]

Copy constructor. Create a new TMatrix4x4 object from another.

Parameters:
TMatrix4x4 the TMatrix4x4 object to be copied
bool ignored (just for interface consistency)

References BALL::TMatrix4x4< T >::initializeComponentPointers_().

template<typename T>
BALL::TMatrix4x4< T >::TMatrix4x4 ( const TVector4< T > &  col1,
const TVector4< T > &  col2,
const TVector4< T > &  col3,
const TVector4< T > &  col4 
) [inline]

Detailed constructor. Create a new TMatrix4x4 object from four TVector4.

Parameters:
col1 assigned to the first column
col2 assigned to the second column
col3 assigned to the third column
col4 assigned to the fourth column
template<typename T>
BALL::TMatrix4x4< T >::TMatrix4x4 ( const T &  m11,
const T &  m12,
const T &  m13,
const T &  m14,
const T &  m21,
const T &  m22,
const T &  m23,
const T &  m24,
const T &  m31,
const T &  m32,
const T &  m33,
const T &  m34,
const T &  m41,
const T &  m42,
const T &  m43,
const T &  m44 
) [inline]

Detailed constructor. Create a new TMatrix4x4 object from sixteen T values.

Parameters:
m11 - m44 assigned to the components
template<typename T>
virtual BALL::TMatrix4x4< T >::~TMatrix4x4 (  )  [inline, virtual]

Destructor. Destructs the TMatrix4x4 object. As there are no dynamic data structures, nothing happens.

Member Function Documentation

template<typename T >
void BALL::TMatrix4x4< T >::clear (  )  [inline, virtual]

Clear method. The values are set to 0.

template<typename T >
void BALL::TMatrix4x4< T >::dump ( std::ostream &  s = std::cout,
Size  depth = 0 
) const [inline]

Internal state dump. Dump the current internal state of {*this} to the output ostream s with dumping depth depth .

Parameters:
s - output stream where to output the internal state of {*this}
depth - the dumping depth

References BALL_DUMP_DEPTH, BALL_DUMP_HEADER, BALL_DUMP_STREAM_PREFIX, and BALL_DUMP_STREAM_SUFFIX.

template<typename T>
void BALL::TMatrix4x4< T >::get ( T &  m11,
T &  m12,
T &  m13,
T &  m14,
T &  m21,
T &  m22,
T &  m23,
T &  m24,
T &  m31,
T &  m32,
T &  m33,
T &  m34,
T &  m41,
T &  m42,
T &  m43,
T &  m44 
) const [inline]

Assign to sixteen variables of type T.

Parameters:
m11 - m44 the variables to assign to
template<typename T>
void BALL::TMatrix4x4< T >::get ( TVector4< T > &  col1,
TVector4< T > &  col2,
TVector4< T > &  col3,
TVector4< T > &  col4 
) const [inline]

Assign to four variables of type TVector4 .

Parameters:
col1 the TVector4 to obtain the values of the first column
col2 the TVector4 to obtain the values of the second column
col3 the TVector4 to obtain the values of the third column
col4 the TVector4 to obtain the values of the fourth column

References BALL::TVector4< T >::h, BALL::TVector4< T >::x, BALL::TVector4< T >::y, and BALL::TVector4< T >::z.

template<typename T>
void BALL::TMatrix4x4< T >::get ( TMatrix4x4< T > &  m  )  const [inline]

Assign to another instance. Assigns the components to another TMatrix4x4.

Parameters:
TMatrix4x4 the TMatrix4x4 to be assigned to

References BALL::TMatrix4x4< T >::set().

template<typename T>
void BALL::TMatrix4x4< T >::get ( T  ptr[4][4]  )  const throw (Exception::NullPointer) [inline]

Assign to an array. Assigns the components to an array of sixteen values of type T.

Exceptions:
NullPointer if ptr == 0
Parameters:
ptr the array to assign to
template<typename T>
void BALL::TMatrix4x4< T >::get ( T *  ptr  )  const throw (Exception::NullPointer) [inline]

Assign to an array. Assigns the components to a pointer of an array of sixteen values of type T.

Exceptions:
NullPointer if ptr == 0
Parameters:
ptr the pointer to assign to
template<typename T >
TVector4< T > BALL::TMatrix4x4< T >::getColumn ( Position  col  )  const throw (Exception::IndexOverflow) [inline]

Get a column of the matrix.

Parameters:
col the number of the column (0-3)
Exceptions:
IndexOverflow if col > 3
Returns:
TVector4 the column
template<typename T >
T BALL::TMatrix4x4< T >::getDeterminant (  )  const [inline]

Compute the determinant.

Returns:
T the determinant.

References BALL::Constants::k.

Referenced by BALL::TMatrix4x4< T >::isRegular(), and BALL::TMatrix4x4< T >::isSingular().

template<typename T >
TVector4< T > BALL::TMatrix4x4< T >::getDiagonal (  )  const [inline]

Get the diagonal of the matrix.

Returns:
TVector4 the diagonal
template<typename T >
BALL_INLINE const TMatrix4x4< T > & BALL::TMatrix4x4< T >::getIdentity (  )  [inline, static]

Create an identity matrix. A new matrix object is created and all elements but the diagonal are set to zero. The diagonal elements are set to 1.

template<typename T >
TVector4< T > BALL::TMatrix4x4< T >::getRow ( Position  row  )  const throw (Exception::IndexOverflow) [inline]

Get a row of the matrix.

Parameters:
row the number of the row (0-3)
Exceptions:
IndexOverflow if row > 3
Returns:
TVector4 the row
template<typename T >
BALL_INLINE T BALL::TMatrix4x4< T >::getTrace (  )  const [inline]

Compute the trace. Get the sum of the diagonal elements (m11 + m22 + m33 + m44).

Returns:
T the trace
template<typename T >
BALL_INLINE const TMatrix4x4< T > & BALL::TMatrix4x4< T >::getZero (  )  [inline, static]

Create a zero matrix. A new matrix object is created and all elements set to 0.

template<typename T>
void BALL::TMatrix4x4< T >::initializeComponentPointers_ (  )  [inline, private]

Referenced by BALL::TMatrix4x4< T >::TMatrix4x4().

template<typename T >
BALL_INLINE bool BALL::TMatrix4x4< T >::invert (  )  [inline]

Invert the matrix. Tests if the matrix can be inverted. If this is possible, the result is stored in the matrix.

Returns:
bool true if the inverse matrix could be calculated, otherwise false.
template<typename T >
bool BALL::TMatrix4x4< T >::invert ( TMatrix4x4< T > &  inverse  )  const [inline]

Invert the matrix. Tests if the matrix can be inverted. If possible, the result will be inverted and the result returned in inverse .

Parameters:
inverse is assigned the inverse matrix
Returns:
bool true if the inverse matrix could be calculated, otherwise false.

First, we compute a QR decomposition, then we use it to solve the system A*A^-1 = I <=> R * A^-1 = Q^t, where R is upper triangular.

This is based on the Householder transform algorithm given in the Numerical Recipes.

References BALL::Constants::c, BALL::Constants::k, BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, BALL::TMatrix4x4< T >::m44, BALL::Maths::max(), and BALL::TMatrix4x4< T >::scale().

template<typename T >
BALL_INLINE bool BALL::TMatrix4x4< T >::isDiagonal (  )  const [inline]

Test whether all cells but the diagonal are zero.

Returns:
bool, true or false
template<typename T >
bool BALL::TMatrix4x4< T >::isEqual ( const TMatrix4x4< T > &  m  )  const [inline]

Test whether two matrices are equal. Two matrices are considered equal, if Maths::isEqual returns true for each pair of corresponding elements.

Parameters:
m the matrix to compare with
Returns:
bool, true if all components are equal, false otherwise

References BALL::TMatrix4x4< T >::comp_ptr_, and BALL::Maths::isEqual().

template<typename T >
bool BALL::TMatrix4x4< T >::isIdentity (  )  const [inline]

Test whether this matrix is an identity matrix. (I.e. m11, m22, m33, m44 = 1 and the other cells have the value 0)

Returns:
bool, true if identity matrix, false otherwise
template<typename T >
bool BALL::TMatrix4x4< T >::isLowerTriangular (  )  const [inline]

Test whether the lower triangular is zero.

Returns:
bool, true if (m12 = m13 = m14 = m23 = m24 = m34 = 0), false otherwise
template<typename T >
BALL_INLINE bool BALL::TMatrix4x4< T >::isRegular (  )  const [inline]

Test whether this matrix is regular.

Returns:
bool, true if (Determinant != 0), false otherwise

References BALL::TMatrix4x4< T >::getDeterminant().

template<typename T >
BALL_INLINE bool BALL::TMatrix4x4< T >::isSingular (  )  const [inline]

Test whether this matrix is singular.

Returns:
bool, true if (Determinant == 0), false otherwise

References BALL::TMatrix4x4< T >::getDeterminant().

template<typename T >
bool BALL::TMatrix4x4< T >::isSymmetric (  )  const [inline]

Test whether this matrix is symmetric. (m12 = m21, m31 = m13, ...)

Returns:
bool, true if symmatric, false otherwise
template<typename T >
bool BALL::TMatrix4x4< T >::isUpperTriangular (  )  const [inline]

Test whether the upper triangular is zero.

Returns:
bool, true if (m21 = m31 = m32 = m41 = m42 = m43 = 0), false otherwise
template<typename T >
bool BALL::TMatrix4x4< T >::isValid (  )  const [inline]

Test whether instance is valid. Always returns true.

Returns:
bool true

References BALL::TMatrix4x4< T >::comp_ptr_.

template<typename T >
bool BALL::TMatrix4x4< T >::operator!= ( const TMatrix4x4< T > &  m  )  const [inline]

Inequality operator. Instead of this operator isEqual should be used. isEqual

Returns:
bool, true if the two TMatrix4x4 differ in at least one component, false otherwise

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T >
BALL_INLINE const T & BALL::TMatrix4x4< T >::operator() ( Position  row,
Position  col 
) const throw (Exception::IndexOverflow) [inline]

Constant access operator of a cell.

Parameters:
row the number of the row (0-3)
col the number of the column (0-3)
Exceptions:
IndexOverflow if col ||row > 3
Returns:
T& a const reference to the cell
template<typename T >
BALL_INLINE T & BALL::TMatrix4x4< T >::operator() ( Position  row,
Position  col 
) throw (Exception::IndexOverflow) [inline]

Access operator of a cell.

Parameters:
row the number of the row (0-3)
col the number of the column (0-3)
Exceptions:
IndexOverflow if col >3 || row > 3
Returns:
T& a reference to the cell
template<typename T>
TVector4< T > BALL::TMatrix4x4< T >::operator* ( const TVector4< T > &  vector  )  const [inline]

Multiplication by an instance of type TVector4 .

Returns:
TMatrix4x4&, {*this}

References BALL::TVector4< T >::h, BALL::TVector4< T >::x, BALL::TVector4< T >::y, and BALL::TVector4< T >::z.

template<typename T>
TMatrix4x4< T > BALL::TMatrix4x4< T >::operator* ( const TMatrix4x4< T > &  m  )  const [inline]

Multiply two matrices.

Returns:
TMatrix4x4 the result

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T>
TMatrix4x4< T > BALL::TMatrix4x4< T >::operator* ( const T &  scalar  )  const [inline]

Multiply by a scalar. Operator for multiplying every cell value with a scalar value.

Returns:
TMatrix4x4 the result
template<typename T>
TMatrix4x4< T > & BALL::TMatrix4x4< T >::operator*= ( const TMatrix4x4< T > &  m  )  [inline]

Multiply two matrices

Returns:
TMatrix4x4&, {*this}

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T>
TMatrix4x4< T > & BALL::TMatrix4x4< T >::operator*= ( const T &  scalar  )  [inline]

Multiply by a scalar. Operator for multiplying every cell value with a scalar value.

Returns:
TMatrix4x4&, {*this}
template<typename T >
TMatrix4x4< T > BALL::TMatrix4x4< T >::operator+ ( const TMatrix4x4< T > &  m  )  const [inline]

Addition operator. Adds another matrix to this matrix and return the result.

Parameters:
m the matrix to add
Returns:
TMatrix4x4 the result

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T >
BALL_INLINE TMatrix4x4< T > BALL::TMatrix4x4< T >::operator+ (  )  const [inline]

Positive sign.

template<typename T >
TMatrix4x4< T > & BALL::TMatrix4x4< T >::operator+= ( const TMatrix4x4< T > &  m  )  [inline]

Addition operator. Adds another matrix to this matrix.

Parameters:
m the matrix to add
Returns:
TMatrix4x4&, {*this}

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T >
TMatrix4x4< T > BALL::TMatrix4x4< T >::operator- ( const TMatrix4x4< T > &  m  )  const [inline]

Subtraction operator. Subtract another matrix from this matrix and return the result

Parameters:
m the matrix to subtract
Returns:
TMatrix4x4 the result

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T >
BALL_INLINE TMatrix4x4< T > BALL::TMatrix4x4< T >::operator- (  )  const [inline]

Negative sign.

template<typename T >
TMatrix4x4< T > & BALL::TMatrix4x4< T >::operator-= ( const TMatrix4x4< T > &  m  )  [inline]

Subtraction operator. Subtract another matrix from this matrix.

Parameters:
m the matrix to subtract
Returns:
TMatrix4x4&, {*this}

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T>
BALL_INLINE TMatrix4x4< T > BALL::TMatrix4x4< T >::operator/ ( const T &  scalar  )  const throw (Exception::DivisionByZero) [inline]

Divide by a scalar. Operator for dividing every cell value by a scalar value.

Exceptions:
DivisionByZero if scalar == 0
Returns:
TMatrix4x4 the result
template<typename T>
BALL_INLINE TMatrix4x4< T > & BALL::TMatrix4x4< T >::operator/= ( const T &  scalar  )  throw (Exception::DivisionByZero) [inline]

Divide by a scalar. Operator for dividing every cell value by a scalar value.

Exceptions:
DivisionByZero if scalar == 0
Returns:
TMatrix4x4&, {*this}
template<typename T>
BALL_INLINE TMatrix4x4< T > & BALL::TMatrix4x4< T >::operator= ( const TMatrix4x4< T > &  m  )  [inline]

Assignment operator. Assign the components from another instance of TMatrix4x4.

Parameters:
TMatrix4x4 the TMatrix4x4 to assign from
template<typename T>
BALL_INLINE TMatrix4x4< T > & BALL::TMatrix4x4< T >::operator= ( const T  ptr[4][4]  )  throw (Exception::NullPointer) [inline]

Assignment operator. Assign the components from the first 16 values assigned by ptr.

Parameters:
ptr the array to construct from
template<typename T>
BALL_INLINE TMatrix4x4< T > & BALL::TMatrix4x4< T >::operator= ( const T *  ptr  )  throw (Exception::NullPointer) [inline]

Assignment operator. Assign the components from the first 16 values assigned by ptr.

Parameters:
ptr the array to construct from
template<typename T >
bool BALL::TMatrix4x4< T >::operator== ( const TMatrix4x4< T > &  m  )  const [inline]

Equality operator. Instead of this operator isEqual should be used. isEqual

Returns:
bool, true if all components are equal, false otherwise

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T >
BALL_INLINE T & BALL::TMatrix4x4< T >::operator[] ( Position  position  )  throw (Exception::IndexOverflow) [inline]

Mutable random access operator.

See also:
operator[]
template<typename T >
BALL_INLINE const T & BALL::TMatrix4x4< T >::operator[] ( Position  position  )  const throw (Exception::IndexOverflow) [inline]

Constant random access operator. Access single elements of the matrix. index may assume values in the range of 0 - 15. The elements of the matrix are returned rows first, i.e., in the following order: m11, m12, m13...

template<typename T>
BALL_INLINE void BALL::TMatrix4x4< T >::rotate ( const TAngle< T > &  phi,
const TVector4< T > &  axis 
) [inline]

Rotate the matrix around a given axis.

Parameters:
phi the rotation angle
axis the axis vector, the fourth component of the vector is ignored

References BALL::TMatrix4x4< T >::rotate(), BALL::TVector4< T >::x, BALL::TVector4< T >::y, and BALL::TVector4< T >::z.

template<typename T>
BALL_INLINE void BALL::TMatrix4x4< T >::rotate ( const TAngle< T > &  phi,
const TVector3< T > &  axis 
) [inline]

Rotate the matrix around a given axis.

Parameters:
phi the rotation angle
axis the axis vector

References BALL::TMatrix4x4< T >::rotate(), BALL::TVector3< T >::x, BALL::TVector3< T >::y, and BALL::TVector3< T >::z.

template<typename T>
void BALL::TMatrix4x4< T >::rotate ( const TAngle< T > &  phi,
const T &  axis_x,
const T &  axis_y,
const T &  axis_z 
) [inline]

Rotate the matrix around a given axis.

Parameters:
phi the rotation angle
axis_x the x component of the axis
axis_y the y component of the axis
axis_z the z component of the axis

Referenced by BALL::TMatrix4x4< T >::rotate(), and BALL::TMatrix4x4< T >::setRotation().

template<typename T>
BALL_INLINE void BALL::TMatrix4x4< T >::rotateX ( const TAngle< T > &  phi  )  [inline]

Rotate the matrix around the x axis.

Parameters:
phi the rotation angle

References BALL::TMatrix4x4< T >::setRotationX().

template<typename T>
BALL_INLINE void BALL::TMatrix4x4< T >::rotateY ( const TAngle< T > &  phi  )  [inline]

Rotate the matrix around the y axis.

Parameters:
phi the rotation angle

References BALL::TMatrix4x4< T >::setRotationY().

template<typename T>
BALL_INLINE void BALL::TMatrix4x4< T >::rotateZ ( const TAngle< T > &  phi  )  [inline]

Rotate the matrix around the z axis.

Parameters:
phi the rotation angle

References BALL::TMatrix4x4< T >::setRotationZ().

template<typename T>
void BALL::TMatrix4x4< T >::scale ( const TVector3< T > &  v  )  [inline]

Scale the matrix.

Parameters:
v the vector with the scale factor

References BALL::TVector3< T >::x, BALL::TVector3< T >::y, and BALL::TVector3< T >::z.

template<typename T>
void BALL::TMatrix4x4< T >::scale ( const T &  scale  )  [inline]

Scale the matrix.

Parameters:
scale the scale factor
template<typename T>
void BALL::TMatrix4x4< T >::scale ( const T &  x_scale,
const T &  y_scale,
const T &  z_scale 
) [inline]

Scale the matrix.

Parameters:
x_scale the x scale factor
y_scale the y scale factor
z_scale the z scale factor

Referenced by BALL::TMatrix4x4< T >::invert().

template<typename T>
void BALL::TMatrix4x4< T >::set ( const T &  t = (T)1  )  [inline]

Set the diagonal elements to the given value. All other elements are set to 0.

Parameters:
T the value to fill with (default: 1)
template<typename T>
void BALL::TMatrix4x4< T >::set ( const T &  m11,
const T &  m12,
const T &  m13,
const T &  m14,
const T &  m21,
const T &  m22,
const T &  m23,
const T &  m24,
const T &  m31,
const T &  m32,
const T &  m33,
const T &  m34,
const T &  m41,
const T &  m42,
const T &  m43,
const T &  m44 
) [inline]

Assign from sixteen values of type T.

Parameters:
m11 - m44 assigned to the components
template<typename T>
void BALL::TMatrix4x4< T >::set ( const TVector4< T > &  col1,
const TVector4< T > &  col2,
const TVector4< T > &  col3,
const TVector4< T > &  col4 
) [inline]

Assign from four TVector4.

Parameters:
col1 assigned to the first column
col2 assigned to the second column
col3 assigned to the third column
col4 assigned to the fourth column

References BALL::TVector4< T >::h, BALL::TVector4< T >::x, BALL::TVector4< T >::y, and BALL::TVector4< T >::z.

template<typename T>
void BALL::TMatrix4x4< T >::set ( const TMatrix4x4< T > &  m  )  [inline]

Assign from another instance.

Parameters:
TMatrix4x4 the TMatrix4x4 object to assign from

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T>
void BALL::TMatrix4x4< T >::set ( const T  ptr[4][4]  )  throw (Exception::NullPointer) [inline]

Assign from the first sixteen elements. pointed to by the array assigned by ptr.

Parameters:
ptr the array to construct from
Exceptions:
NullPointer if ptr == 0
template<typename T>
void BALL::TMatrix4x4< T >::set ( const T *  ptr  )  throw (Exception::NullPointer) [inline]

Assign from array-ptr. Assign from the first sixteen elements pointed to by ptr.

Parameters:
ptr the array to construct from
Exceptions:
NullPointer if ptr == 0

Referenced by BALL::TMatrix4x4< T >::get(), and BALL::TQuaternion< T >::getRotationMatrix().

template<typename T>
void BALL::TMatrix4x4< T >::setColumn ( Position  col,
const TVector4< T > &  col_value 
) throw (Exception::IndexOverflow) [inline]

Set a column of the matrix.

Parameters:
col the number of the column (0-3)
col_value the new value of the col
Exceptions:
IndexOverflow if col > 3
template<typename T >
BALL_INLINE void BALL::TMatrix4x4< T >::setIdentity (  )  [inline]

Set to an identity matrix. m11, m22, m33, m44 = 1; the other cells have the value 0;

template<typename T>
BALL_INLINE void BALL::TMatrix4x4< T >::setRotation ( const TAngle< T > &  phi,
const TVector4< T > &  axis 
) [inline]

Set the matrix to a rotation matrix.

Parameters:
phi the rotation angle
axis the axis vector, the fourth component of the vector is ignored

References BALL::TMatrix4x4< T >::rotate(), BALL::TVector4< T >::x, BALL::TVector4< T >::y, and BALL::TVector4< T >::z.

template<typename T>
BALL_INLINE void BALL::TMatrix4x4< T >::setRotation ( const TAngle< T > &  phi,
const TVector3< T > &  axis 
) [inline]

Set the matrix to a rotation matrix.

Parameters:
phi the rotation angle
axis the axis vector

References BALL::TMatrix4x4< T >::rotate(), BALL::TVector3< T >::x, BALL::TVector3< T >::y, and BALL::TVector3< T >::z.

template<typename T>
void BALL::TMatrix4x4< T >::setRotation ( const TAngle< T > &  phi,
const T &  axis_x,
const T &  axis_y,
const T &  axis_z 
) [inline]

Set the matrix to a rotation matrix.

Parameters:
phi the rotation angle
axis_x the x component of the axis
axis_y the y component of the axis
axis_z the z component of the axis

References BALL::TMatrix4x4< T >::rotate().

template<typename T>
void BALL::TMatrix4x4< T >::setRotationX ( const TAngle< T > &  phi  )  [inline]

Set the matrix to a x rotation matrix.

Parameters:
phi the rotation angle

Referenced by BALL::TMatrix4x4< T >::rotateX().

template<typename T>
void BALL::TMatrix4x4< T >::setRotationY ( const TAngle< T > &  phi  )  [inline]

Set the matrix to a y rotation matrix.

Parameters:
phi the rotation angle

Referenced by BALL::TMatrix4x4< T >::rotateY().

template<typename T>
void BALL::TMatrix4x4< T >::setRotationZ ( const TAngle< T > &  phi  )  [inline]

Set the matrix to a z rotation matrix.

Parameters:
phi the rotation angle

Referenced by BALL::TMatrix4x4< T >::rotateZ().

template<typename T>
void BALL::TMatrix4x4< T >::setRow ( Position  row,
const TVector4< T > &  row_value 
) throw (Exception::IndexOverflow) [inline]

Set a row of the matrix.

Parameters:
row the number of the row (0-3)
row_value the new value of the row
Exceptions:
IndexOverflow if row > 3
template<typename T>
void BALL::TMatrix4x4< T >::setScale ( const TVector3< T > &  v  )  [inline]

Set the matrix to a scalation matrix.

Parameters:
v the vector with the scale factor

References BALL::TVector3< T >::x, BALL::TVector3< T >::y, and BALL::TVector3< T >::z.

template<typename T>
void BALL::TMatrix4x4< T >::setScale ( const T &  scale  )  [inline]

Set the matrix to a scalation matrix.

Parameters:
scale the scale factor
template<typename T>
void BALL::TMatrix4x4< T >::setScale ( const T &  x_scale,
const T &  y_scale,
const T &  z_scale 
) [inline]

Set the matrix to a scalation matrix.

Parameters:
x_scale the x scale factor
y_scale the y scale factor
z_scale the z scale factor
template<typename T>
void BALL::TMatrix4x4< T >::setTranslation ( const TVector3< T > &  v  )  [inline]

Set the matrix to a translation matrix.

Parameters:
v the vector to translate with

References BALL::TVector3< T >::x, BALL::TVector3< T >::y, and BALL::TVector3< T >::z.

template<typename T>
void BALL::TMatrix4x4< T >::setTranslation ( const T &  x,
const T &  y,
const T &  z 
) [inline]

Set the matrix to a translation matrix.

Parameters:
x the x-component of the translation
y the y-component of the translation
z the z-component of the translation
template<typename T >
void BALL::TMatrix4x4< T >::swap ( TMatrix4x4< T > &  m  )  [inline]

Swap the contents of two instances of TMatrix4x4.

Parameters:
TMatrix4x4 the TMatrix4x4 to swap contents with

References BALL::TMatrix4x4< T >::m11, BALL::TMatrix4x4< T >::m12, BALL::TMatrix4x4< T >::m13, BALL::TMatrix4x4< T >::m14, BALL::TMatrix4x4< T >::m21, BALL::TMatrix4x4< T >::m22, BALL::TMatrix4x4< T >::m23, BALL::TMatrix4x4< T >::m24, BALL::TMatrix4x4< T >::m31, BALL::TMatrix4x4< T >::m32, BALL::TMatrix4x4< T >::m33, BALL::TMatrix4x4< T >::m34, BALL::TMatrix4x4< T >::m41, BALL::TMatrix4x4< T >::m42, BALL::TMatrix4x4< T >::m43, and BALL::TMatrix4x4< T >::m44.

template<typename T>
void BALL::TMatrix4x4< T >::translate ( const TVector3< T > &  v  )  [inline]

Translate the matrix.

Parameters:
v the vector to translate with

References BALL::TVector3< T >::x, BALL::TVector3< T >::y, and BALL::TVector3< T >::z.

template<typename T>
void BALL::TMatrix4x4< T >::translate ( const T &  x,
const T &  y,
const T &  z 
) [inline]

Translate the matrix.

Parameters:
x the x-component of the translation
y the y-component of the translation
z the z-component of the translation
template<typename T >
void BALL::TMatrix4x4< T >::transpose (  )  [inline]

Mirror the Matrix at the diagonal. All values are swaped by the mirrored value. (I.e. m12 <=> m21 , m13 <=> m31 , ...)

Member Data Documentation

template<typename T>
T* BALL::TMatrix4x4< T >::comp_ptr_[16] [private]

Referenced by BALL::TMatrix4x4< float >::initializeComponentPointers_(), BALL::TMatrix4x4< T >::isEqual(), and BALL::TMatrix4x4< T >::isValid().

template<typename T>
T BALL::TMatrix4x4< T >::m11

1st cell in the 1st row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m12

2nd cell in the 1st row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m13

3rd cell in the 1st row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m14

4th cell in the 1st row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m21

1st cell in the 2nd row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m22

2nd cell in the 2nd row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m23

3rd cell in the 2nd row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m24

4th cell in the 2nd row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m31

1st cell in the 3rd row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m32

2nd cell in the 3rd row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m33

3rd cell in the 3rd row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m34

4th cell in the 3rd row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m41

1st cell in the 4th row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m42

2nd cell in the 4th row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m43

3rd cell in the 4th row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().

template<typename T>
T BALL::TMatrix4x4< T >::m44

4th cell in the 4th row

Referenced by BALL::TMatrix4x4< T >::invert(), BALL::TMatrix4x4< T >::operator!=(), BALL::TMatrix4x4< T >::operator*(), BALL::operator*(), BALL::TMatrix4x4< T >::operator*=(), BALL::TMatrix4x4< T >::operator+(), BALL::TMatrix4x4< T >::operator+=(), BALL::TMatrix4x4< T >::operator-(), BALL::TMatrix4x4< T >::operator-=(), BALL::operator<<(), BALL::TMatrix4x4< T >::operator==(), BALL::operator>>(), BALL::TMatrix4x4< T >::set(), and BALL::TMatrix4x4< T >::swap().