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numeric::xyzMatrix< typename > Class Template Reference

xyzMatrix: Fast 3x3 xyz matrix template More...

#include <xyzMatrix.fwd.hh>

Public Types

typedef T Value
 
typedef T & Reference
 
typedef T const & ConstReference
 
typedef T * Pointer
 
typedef T const * ConstPointer
 
typedef xyzVector< T > Vector
 
typedef T value_type
 
typedef T & reference
 
typedef T const & const_reference
 
typedef T * pointer
 
typedef T const * const_pointer
 

Public Member Functions

 xyzMatrix ()
 Default constructor. More...
 
 xyzMatrix (xyzMatrix const &m)
 Copy constructor. More...
 
template<typename U >
 xyzMatrix (xyzMatrix< U > const &m)
 Copy constructor. More...
 
 xyzMatrix (Value const &t)
 Uniform value constructor. More...
 
 ~xyzMatrix ()
 Destructor. More...
 
template<typename U >
 xyzMatrix (ColsPointer< U > const &c)
 Pointer to contiguous column-ordered values constructor. More...
 
template<typename U >
 xyzMatrix (ColPointers< U > const &c)
 Pointers to contiguous columns constructor. More...
 
template<typename U >
 xyzMatrix (ColVectors< U > const &c)
 Columns constructor. More...
 
template<typename U >
 xyzMatrix (RowsPointer< U > const &r)
 Pointer to contiguous row-ordered values constructor. More...
 
template<typename U >
 xyzMatrix (RowPointers< U > const &r)
 Pointers to contiguous rows constructor. More...
 
template<typename U >
 xyzMatrix (RowVectors< U > const &r)
 Rows constructor. More...
 
xyzMatrix & operator= (xyzMatrix const &m)
 Copy assignment. More...
 
template<typename U >
xyzMatrix & operator= (xyzMatrix< U > const &m)
 Copy assignment. More...
 
template<typename U >
xyzMatrix & operator+= (xyzMatrix< U > const &m)
 += xyzMatrix More...
 
template<typename U >
xyzMatrix & operator-= (xyzMatrix< U > const &m)
 -= xyzMatrix More...
 
template<typename U >
xyzMatrix & operator*= (xyzMatrix< U > const &m)
 *= xyzMatrix More...
 
template<typename U >
xyzMatrix & operator= (ColsPointer< U > const &c)
 Assignment from pointer to contiguous column-ordered values. More...
 
template<typename U >
xyzMatrix & operator= (RowsPointer< U > const &r)
 Assignment from pointer to contiguous row-ordered values. More...
 
template<typename U >
xyzMatrix & operator= (ColPointers< U > const &c)
 Assignment from pointers to contiguous columns. More...
 
template<typename U >
xyzMatrix & operator= (RowPointers< U > const &r)
 Assignment from pointers to contiguous rows. More...
 
template<typename U >
xyzMatrix & operator= (ColVectors< U > const &c)
 xyzVector columns assignment More...
 
template<typename U >
xyzMatrix & operator= (RowVectors< U > const &r)
 xyzVector rows assignment More...
 
xyzMatrix & operator= (Value const &t)
 = Value More...
 
xyzMatrix & operator+= (Value const &t)
 += Value More...
 
xyzMatrix & operator-= (Value const &t)
 -= Value More...
 
xyzMatrix & operator*= (Value const &t)
 *= Value More...
 
xyzMatrix & operator/= (Value const &t)
 /= Value More...
 
xyzMatrix & clear ()
 Clear. More...
 
xyzMatrix & zero ()
 Set to the zero xyzMatrix. More...
 
xyzMatrix & to_identity ()
 Set to the identity xyzMatrix. More...
 
xyzMatrix & to_diag (Value const &xx_a, Value const &yy_a, Value const &zz_a)
 Set to diagonal xyzMatrix from value. More...
 
template<typename U >
xyzMatrix & to_diag (xyzVector< U > const &diag_a)
 Set to diagonal xyzMatrix from xyzVector. More...
 
xyzMatrix & set_diagonal (Value const &xx_a, Value const &yy_a, Value const &zz_a)
 set diagonal of xyzMatrix from value More...
 
template<typename U >
xyzMatrix & set_diagonal (xyzVector< U > const &diag_a)
 Set diagonal of xyzMatrix from xyzVector. More...
 
xyzMatrix & add_diagonal (Value const &xx_a, Value const &yy_a, Value const &zz_a)
 Add values to diagonal of xyzMatrix. More...
 
template<typename U >
xyzMatrix & add_diagonal (xyzVector< U > const &diag_a)
 Add xyzVector to diagonal of xyzMatrix. More...
 
xyzMatrix & subtract_diagonal (Value const &xx_a, Value const &yy_a, Value const &zz_a)
 Subtract values from diagonal of xyzMatrix. More...
 
template<typename U >
xyzMatrix & subtract_diagonal (xyzVector< U > const &diag_a)
 Subtract xyzVector from diagonal of xyzMatrix. More...
 
xyzMatrix & transpose ()
 Transpose. More...
 
template<typename U >
xyzMatrix & right_multiply_by (xyzMatrix< U > const &m)
 Right multiply by xyzMatrix. More...
 
template<typename U >
xyzMatrix & right_multiply_by_transpose (xyzMatrix< U > const &m)
 Right multiply by transpose xyzMatrix. More...
 
template<typename U >
xyzMatrix & left_multiply_by (xyzMatrix< U > const &m)
 Left multiply by xyzMatrix. More...
 
template<typename U >
xyzMatrix & left_multiply_by_transpose (xyzMatrix< U > const &m)
 Left multiply by transpose xyzMatrix. More...
 
Vector col_x () const
 Column x. More...
 
xyzMatrix & col_x (Vector const &v)
 Column x assignment. More...
 
Vector col_y () const
 Column y. More...
 
xyzMatrix & col_y (Vector const &v)
 Column y assignment. More...
 
Vector col_z () const
 Column z. More...
 
xyzMatrix & col_z (Vector const &v)
 Column z assignment. More...
 
Vector col (int const i) const
 Column( i ): 1-based index. More...
 
xyzMatrix & col (int const i, Vector const &v)
 Column( i, xyzVector ) assignment: 1-base index. More...
 
Vector row_x () const
 Row x. More...
 
xyzMatrix & row_x (Vector const &v)
 Row x assignment. More...
 
Vector row_y () const
 Row y. More...
 
xyzMatrix & row_y (Vector const &v)
 Row y assignment. More...
 
Vector row_z () const
 Row z. More...
 
xyzMatrix & row_z (Vector const &v)
 Row z assignment. More...
 
Vector row (int const i) const
 Row ( i ): 1-based index. More...
 
xyzMatrix & row (int const i, Vector const &v)
 Row ( i, xyzVector ) assignment: 1-based index. More...
 
Value const & xx () const
 Value xx const. More...
 
Value & xx ()
 Value xx. More...
 
Value const & xy () const
 Value xy const. More...
 
Value & xy ()
 Value xy. More...
 
Value const & xz () const
 Value xz const. More...
 
Value & xz ()
 Value xz. More...
 
Value const & yx () const
 Value yx const. More...
 
Value & yx ()
 Value yx. More...
 
Value const & yy () const
 Value yy const. More...
 
Value & yy ()
 Value yy. More...
 
Value const & yz () const
 Value yz const. More...
 
Value & yz ()
 Value yz. More...
 
Value const & zx () const
 Value zx const. More...
 
Value & zx ()
 Value zx. More...
 
Value const & zy () const
 Value zy const. More...
 
Value & zy ()
 Value zy. More...
 
Value const & zz () const
 Value zz const. More...
 
Value & zz ()
 Value zz. More...
 
Value const & operator() (int const i, int const j) const
 xyzMatrix( i, j ) const: 1-based index More...
 
Value & operator() (int const i, int const j)
 xyzMatrix( i, j ): 1-based index More...
 
void xx (Value const &xx_a)
 xx assignment More...
 
void xy (Value const &xy_a)
 xy assignment More...
 
void xz (Value const &xz_a)
 xz assignment More...
 
void yx (Value const &yx_a)
 yx assignment More...
 
void yy (Value const &yy_a)
 yy assignment More...
 
void yz (Value const &yz_a)
 yz assignment More...
 
void zx (Value const &zx_a)
 zx assignment More...
 
void zy (Value const &zy_a)
 zy assignment More...
 
void zz (Value const &zz_a)
 zz assignment More...
 
bool is_zero () const
 Is zero? More...
 
bool is_identity () const
 Is identity? More...
 
Value det () const
 Determinant. More...
 
Value trace () const
 Trace. More...
 
xyzMatrix transposed () const
 Transposed copy. More...
 
xyzMatrix< T > inverse () const
 
void show (std::ostream &output=std::cout) const
 Show. More...
 

Static Public Member Functions

static xyzMatrix cols (Value const &xx_a, Value const &yx_a, Value const &zx_a, Value const &xy_a, Value const &yy_a, Value const &zy_a, Value const &xz_a, Value const &yz_a, Value const &zz_a)
 Column-ordered value named constructor. More...
 
template<typename U >
static ColsPointer< U > cols (U const *cp)
 Pointer to contiguous column-ordered values named constructor/assignment. More...
 
template<typename U >
static ColPointers< U > cols (U const *xp, U const *yp, U const *zp)
 Pointers to contiguous columns named constructor/assignment. More...
 
template<typename U >
static xyzMatrix cols_constructor (U const *xp, U const *yp, U const *zp)
 Pointers to contiguous columns named constructor. More...
 
template<typename U >
static ColVectors< U > cols (xyzVector< U > const &col_x, xyzVector< U > const &col_y, xyzVector< U > const &col_z)
 Column vectors named constructor/assignment. More...
 
template<typename U >
static xyzMatrix cols_constructor (xyzVector< U > const &col_x, xyzVector< U > const &col_y, xyzVector< U > const &col_z)
 xyzVector columns named constructor More...
 
static xyzMatrix rows (Value const &xx_a, Value const &xy_a, Value const &xz_a, Value const &yx_a, Value const &yy_a, Value const &yz_a, Value const &zx_a, Value const &zy_a, Value const &zz_a)
 Row-ordered value named constructor. More...
 
template<typename U >
static RowsPointer< U > rows (U const *rp)
 Pointer to contiguous row-ordered values named constructor/assignment. More...
 
template<typename U >
static RowPointers< U > rows (U const *xp, U const *yp, U const *zp)
 Pointers to contiguous rows named constructor/assignment. More...
 
template<typename U >
static xyzMatrix rows_constructor (U const *xp, U const *yp, U const *zp)
 Pointers to contiguous rows named constructor. More...
 
template<typename U >
static RowVectors< U > rows (xyzVector< U > const &row_x, xyzVector< U > const &row_y, xyzVector< U > const &row_z)
 Row vectors named constructor/assignment. More...
 
template<typename U >
static xyzMatrix rows_constructor (xyzVector< U > const &row_x, xyzVector< U > const &row_y, xyzVector< U > const &row_z)
 xyzVector rows named constructor More...
 
static xyzMatrix diag (Value const &xx_a, Value const &yy_a, Value const &zz_a)
 Diagonal value named constructor. More...
 
template<typename U >
static xyzMatrix diag (xyzVector< U > const &diag_a)
 Diagonal xyzVector named constructor. More...
 
static xyzMatrix identity ()
 Identity xyzMatrix named constructor. More...
 
static xyzMatrix const & I ()
 Identity xyzMatrix for expressions. More...
 

Private Member Functions

 xyzMatrix (Value const &xx_a, Value const &xy_a, Value const &xz_a, Value const &yx_a, Value const &yy_a, Value const &yz_a, Value const &zx_a, Value const &zy_a, Value const &zz_a)
 Row-ordered value constructor. More...
 

Private Attributes

Value xx_
 Elements of the 3x3 matrix. More...
 
Value xy_
 
Value xz_
 
Value yx_
 
Value yy_
 
Value yz_
 
Value zx_
 
Value zy_
 
Value zz_
 

Friends

template<typename >
class xyzMatrix
 
xyzVector< T > operator* (xyzMatrix< T > const &m, xyzVector< T > const &v)
 xyzMatrix * xyzVector More...
 
xyzVector< T > product (xyzMatrix< T > const &m, xyzVector< T > const &v)
 xyzMatrix * xyzVector product More...
 
xyzVector< T > & inplace_product (xyzMatrix< T > const &m, xyzVector< T > &v)
 xyzMatrix * xyzVector in-place product More...
 
xyzVector< T > transpose_product (xyzMatrix< T > const &m, xyzVector< T > const &v)
 xyzMatrix^T * xyzVector product More...
 
xyzVector< T > & inplace_transpose_product (xyzMatrix< T > const &m, xyzVector< T > &v)
 xyzMatrix^T * xyzVector in-place transpose product More...
 
xyzMatrix< T > outer_product (xyzVector< T > const &a, xyzVector< T > const &b)
 xyzVector xyzVector outer product More...
 
xyzMatrix< T > projection_matrix (xyzVector< T > const &v)
 geometric center More...
 
xyzMatrix< T > rotation_matrix (xyzVector< T > const &axis, T const &theta)
 Rotation matrix for rotation about an axis by an angle in radians. More...
 
xyzVector< T > rotation_axis (xyzMatrix< T > const &R, T &theta)
 Transformation from rotation matrix to helical axis of rotation. More...
 
xyzVector< T > eigenvalue_jacobi (xyzMatrix< T > const &a, T const &tol)
 Classic Jacobi algorithm for the eigenvalues of a real symmetric matrix. More...
 
xyzVector< T > eigenvector_jacobi (xyzMatrix< T > const &a, T const &tol, xyzMatrix< T > &J)
 Classic Jacobi algorithm for the eigenvalues and eigenvectors of a real symmetric matrix. More...
 
xyzMatrix< T > inverse (xyzMatrix< T > const &a)
 
xyzMatrix operator+ (xyzMatrix const &a, xyzMatrix const &b)
 xyzMatrix + xyzMatrix More...
 
xyzMatrix operator+ (xyzMatrix const &m, Value const &t)
 xyzMatrix + Value More...
 
xyzMatrix operator+ (Value const &t, xyzMatrix const &m)
 Value + xyzMatrix. More...
 
xyzMatrix operator- (xyzMatrix const &a, xyzMatrix const &b)
 xyzMatrix - xyzMatrix More...
 
xyzMatrix operator- (xyzMatrix const &m, Value const &t)
 xyzMatrix - Value More...
 
xyzMatrix operator- (Value const &t, xyzMatrix const &m)
 Value - xyzMatrix. More...
 
xyzMatrix operator* (xyzMatrix const &a, xyzMatrix const &b)
 xyzMatrix * xyzMatrix More...
 
xyzMatrix operator* (xyzMatrix const &m, Value const &t)
 xyzMatrix * Value More...
 
xyzMatrix operator* (Value const &t, xyzMatrix const &m)
 Value * xyzMatrix. More...
 
xyzMatrix operator/ (xyzMatrix const &m, Value const &t)
 xyzMatrix / Value More...
 
bool operator== (xyzMatrix const &a, xyzMatrix const &b)
 xyzMatrix == xyzMatrix More...
 
bool operator!= (xyzMatrix const &a, xyzMatrix const &b)
 xyzMatrix != xyzMatrix More...
 
bool operator< (xyzMatrix const &a, xyzMatrix const &b)
 xyzMatrix < xyzMatrix More...
 
bool operator<= (xyzMatrix const &a, xyzMatrix const &b)
 xyzMatrix <= xyzMatrix More...
 
bool operator>= (xyzMatrix const &a, xyzMatrix const &b)
 xyzMatrix >= xyzMatrix More...
 
bool operator> (xyzMatrix const &a, xyzMatrix const &b)
 xyzMatrix > xyzMatrix More...
 
bool operator== (xyzMatrix const &m, Value const &t)
 xyzMatrix == Value More...
 
bool operator!= (xyzMatrix const &m, Value const &t)
 xyzMatrix != Value More...
 
bool operator< (xyzMatrix const &m, Value const &t)
 xyzMatrix < Value More...
 
bool operator<= (xyzMatrix const &m, Value const &t)
 xyzMatrix <= Value More...
 
bool operator>= (xyzMatrix const &m, Value const &t)
 xyzMatrix >= Value More...
 
bool operator> (xyzMatrix const &m, Value const &t)
 xyzMatrix > Value More...
 
bool operator== (Value const &t, xyzMatrix const &m)
 Value == xyzMatrix. More...
 
bool operator!= (Value const &t, xyzMatrix const &m)
 Value != xyzMatrix. More...
 
bool operator< (Value const &t, xyzMatrix const &m)
 Value < xyzMatrix. More...
 
bool operator<= (Value const &t, xyzMatrix const &m)
 Value <= xyzMatrix. More...
 
bool operator>= (Value const &t, xyzMatrix const &m)
 Value >= xyzMatrix. More...
 
bool operator> (Value const &t, xyzMatrix const &m)
 Value > xyzMatrix. More...
 

Detailed Description

template<typename>
class numeric::xyzMatrix< typename >

xyzMatrix: Fast 3x3 xyz matrix template

Definition at line 29 of file xyzMatrix.fwd.hh.

Member Typedef Documentation

template<typename >
typedef T const* numeric::xyzMatrix< typename >::const_pointer

Definition at line 86 of file xyzMatrix.hh.

template<typename >
typedef T const& numeric::xyzMatrix< typename >::const_reference

Definition at line 84 of file xyzMatrix.hh.

template<typename >
typedef T const* numeric::xyzMatrix< typename >::ConstPointer

Definition at line 78 of file xyzMatrix.hh.

template<typename >
typedef T const& numeric::xyzMatrix< typename >::ConstReference

Definition at line 76 of file xyzMatrix.hh.

template<typename >
typedef T* numeric::xyzMatrix< typename >::Pointer

Definition at line 77 of file xyzMatrix.hh.

template<typename >
typedef T* numeric::xyzMatrix< typename >::pointer

Definition at line 85 of file xyzMatrix.hh.

template<typename >
typedef T& numeric::xyzMatrix< typename >::Reference

Definition at line 75 of file xyzMatrix.hh.

template<typename >
typedef T& numeric::xyzMatrix< typename >::reference

Definition at line 83 of file xyzMatrix.hh.

template<typename >
typedef T numeric::xyzMatrix< typename >::Value

Definition at line 74 of file xyzMatrix.hh.

template<typename >
typedef T numeric::xyzMatrix< typename >::value_type

Definition at line 82 of file xyzMatrix.hh.

template<typename >
typedef xyzVector< T > numeric::xyzMatrix< typename >::Vector

Definition at line 79 of file xyzMatrix.hh.

Constructor & Destructor Documentation

template<typename >
numeric::xyzMatrix< typename >::xyzMatrix ( )
inline

Default constructor.

Note
Values are uninitialized for efficiency

Definition at line 95 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::cols(), numeric::xyzMatrix< T >::cols_constructor(), numeric::xyzMatrix< T >::diag(), numeric::xyzMatrix< T >::identity(), numeric::xyzMatrix< T >::rows(), numeric::xyzMatrix< T >::rows_constructor(), and numeric::xyzMatrix< T >::transposed().

template<typename >
numeric::xyzMatrix< typename >::xyzMatrix ( xyzMatrix< typename > const &  m)
inline

Copy constructor.

Definition at line 101 of file xyzMatrix.hh.

template<typename >
template<typename U >
numeric::xyzMatrix< typename >::xyzMatrix ( xyzMatrix< U > const &  m)
inline

Copy constructor.

Definition at line 111 of file xyzMatrix.hh.

template<typename >
numeric::xyzMatrix< typename >::xyzMatrix ( Value const &  t)
inlineexplicit

Uniform value constructor.

Definition at line 121 of file xyzMatrix.hh.

template<typename >
numeric::xyzMatrix< typename >::~xyzMatrix ( )
inline

Destructor.

Definition at line 130 of file xyzMatrix.hh.

template<typename >
template<typename U >
numeric::xyzMatrix< typename >::xyzMatrix ( ColsPointer< U > const &  c)
inline

Pointer to contiguous column-ordered values constructor.

See also
cols
Note
The cols named constructor/assignment provides a simple wrapper interface
Constructor usage: xyzMatrix m( xyzMatrix::cols( cols_pointer ) )
Assignment usage: m = xyzMatrix::cols( cols_pointer )

Definition at line 170 of file xyzMatrix.hh.

template<typename >
template<typename U >
numeric::xyzMatrix< typename >::xyzMatrix ( ColPointers< U > const &  c)
inline

Pointers to contiguous columns constructor.

See also
cols
Note
The cols named constructor/assignment provides a simple wrapper interface
Constructor usage: xyzMatrix m( xyzMatrix::cols( x_col_pointer, y_col_pointer, z_col_pointer ) )
Assignment usage: m = xyzMatrix::cols( x_col_pointer, y_col_pointer, z_col_pointer )

Definition at line 200 of file xyzMatrix.hh.

template<typename >
template<typename U >
numeric::xyzMatrix< typename >::xyzMatrix ( ColVectors< U > const &  c)
inline

Columns constructor.

See also
cols
Note
The cols named constructor/assignment provides a simple wrapper interface
Constructor usage: xyzMatrix m( xyzMatrix::cols( x_col_vector, y_col_vector, z_col_vector ) )

Definition at line 261 of file xyzMatrix.hh.

template<typename >
template<typename U >
numeric::xyzMatrix< typename >::xyzMatrix ( RowsPointer< U > const &  r)
inline

Pointer to contiguous row-ordered values constructor.

See also
rows
Note
The rows named constructor/assignment provides a simple wrapper interface
Constructor usage: xyzMatrix m( xyzMatrix::rows( rows_pointer ) )
Assignment usage: m = xyzMatrix::rows( rows_pointer )

Definition at line 346 of file xyzMatrix.hh.

template<typename >
template<typename U >
numeric::xyzMatrix< typename >::xyzMatrix ( RowPointers< U > const &  r)
inline

Pointers to contiguous rows constructor.

See also
rows
Note
The rows named constructor/assignment provides a simple wrapper interface
Constructor usage: xyzMatrix m( xyzMatrix::rows( x_row_pointer, y_row_pointer, z_row_pointer ) )
Assignment usage: m = xyzMatrix::rows( x_row_pointer, y_row_pointer, z_row_pointer )

Definition at line 376 of file xyzMatrix.hh.

template<typename >
template<typename U >
numeric::xyzMatrix< typename >::xyzMatrix ( RowVectors< U > const &  r)
inline

Rows constructor.

See also
rows
Note
The rows named constructor/assignment provides a simple wrapper interface
Constructor usage: xyzMatrix m( xyzMatrix::rows( x_row_vector, y_row_vector, z_row_vector ) )

Definition at line 437 of file xyzMatrix.hh.

template<typename >
numeric::xyzMatrix< typename >::xyzMatrix ( Value const &  xx_a,
Value const &  xy_a,
Value const &  xz_a,
Value const &  yx_a,
Value const &  yy_a,
Value const &  yz_a,
Value const &  zx_a,
Value const &  zy_a,
Value const &  zz_a 
)
inlineprivate

Row-ordered value constructor.

Note
Client code uses named constructors that specify the value order explicitly

Definition at line 545 of file xyzMatrix.hh.

Member Function Documentation

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::add_diagonal ( Value const &  xx_a,
Value const &  yy_a,
Value const &  zz_a 
)
inline

Add values to diagonal of xyzMatrix.

Definition at line 1065 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::add_diagonal ( xyzVector< U > const &  diag_a)
inline

Add xyzVector to diagonal of xyzMatrix.

Definition at line 1082 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::clear ( )
inline

Clear.

Definition at line 964 of file xyzMatrix.hh.

template<typename >
Vector numeric::xyzMatrix< typename >::col ( int const  i) const
inline

Column( i ): 1-based index.

Definition at line 1344 of file xyzMatrix.hh.

Referenced by numeric::first_principal_component(), and numeric::principal_components_and_eigenvalues().

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::col ( int const  i,
Vector const &  v 
)
inline

Column( i, xyzVector ) assignment: 1-base index.

Definition at line 1361 of file xyzMatrix.hh.

template<typename >
Vector numeric::xyzMatrix< typename >::col_x ( ) const
inline

Column x.

Definition at line 1287 of file xyzMatrix.hh.

Referenced by check_for_contacts(), numeric::xyzMatrix< T >::cols(), numeric::xyzTransform< numeric::Real >::distance_squared(), numeric::xyzTransform< numeric::Real >::from_four_points(), and numeric::principal_components_and_eigenvalues().

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::col_x ( Vector const &  v)
inline

Column x assignment.

Definition at line 1296 of file xyzMatrix.hh.

template<typename >
Vector numeric::xyzMatrix< typename >::col_y ( ) const
inline

Column y.

Definition at line 1306 of file xyzMatrix.hh.

Referenced by check_for_contacts(), numeric::xyzMatrix< T >::cols(), and numeric::xyzTransform< numeric::Real >::distance_squared().

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::col_y ( Vector const &  v)
inline

Column y assignment.

Definition at line 1315 of file xyzMatrix.hh.

template<typename >
Vector numeric::xyzMatrix< typename >::col_z ( ) const
inline

Column z.

Definition at line 1325 of file xyzMatrix.hh.

Referenced by check_for_contacts(), numeric::xyzMatrix< T >::cols(), and numeric::xyzTransform< numeric::Real >::distance_squared().

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::col_z ( Vector const &  v)
inline

Column z assignment.

Definition at line 1334 of file xyzMatrix.hh.

template<typename >
static xyzMatrix numeric::xyzMatrix< typename >::cols ( Value const &  xx_a,
Value const &  yx_a,
Value const &  zx_a,
Value const &  xy_a,
Value const &  yy_a,
Value const &  zy_a,
Value const &  xz_a,
Value const &  yz_a,
Value const &  zz_a 
)
inlinestatic

Column-ordered value named constructor.

Note
Constructor usage: xyzMatrix m( xyzMatrix::cols( xx_a, yx_a, zx_a, xy_a, yy_a, zy_a, xz_a, yz_a, zz_a ) )
Assignment usage: m = xyzMatrix::cols( xx_a, yx_a, zx_a, xy_a, yy_a, zy_a, xz_a, yz_a, zz_a )

Definition at line 146 of file xyzMatrix.hh.

Referenced by numeric::random::random_rotation(), basic::sampling::orientations::Quaternion::rotation_matrix(), and slice_ellipsoid_envelope().

template<typename >
template<typename U >
static ColsPointer< U > numeric::xyzMatrix< typename >::cols ( U const *  cp)
inlinestatic

Pointer to contiguous column-ordered values named constructor/assignment.

Warning
No way to check that argument points to nine contiguous values
Note
Constructor usage: xyzMatrix m( xyzMatrix::cols( cols_pointer ) )
Assignment usage: m = xyzMatrix::cols( cols_pointer )

Definition at line 185 of file xyzMatrix.hh.

template<typename >
template<typename U >
static ColPointers< U > numeric::xyzMatrix< typename >::cols ( U const *  xp,
U const *  yp,
U const *  zp 
)
inlinestatic

Pointers to contiguous columns named constructor/assignment.

Warning
No way to check that arguments each point to three contiguous values
Note
Constructor usage: xyzMatrix m( xyzMatrix::cols( x_col_pointer, y_col_pointer, z_col_pointer ) )
Assignment usage: m = xyzMatrix::cols( x_col_pointer, y_col_pointer, z_col_pointer )

Definition at line 217 of file xyzMatrix.hh.

template<typename >
template<typename U >
static ColVectors< U > numeric::xyzMatrix< typename >::cols ( xyzVector< U > const &  col_x,
xyzVector< U > const &  col_y,
xyzVector< U > const &  col_z 
)
inlinestatic

Column vectors named constructor/assignment.

Note
Constructor usage: xyzMatrix m( xyzMatrix::cols( x_col_vector, y_col_vector, z_col_vector ) )
Assignment usage: m = xyzMatrix::cols( x_col_vector, y_col_vector, z_col_vector )

Definition at line 277 of file xyzMatrix.hh.

template<typename >
template<typename U >
static xyzMatrix numeric::xyzMatrix< typename >::cols_constructor ( U const *  xp,
U const *  yp,
U const *  zp 
)
inlinestatic

Pointers to contiguous columns named constructor.

Warning
No way to check that arguments each point to three contiguous values
Note
Can be faster than cols() construction due to return value optimization
Constructor usage: xyzMatrix m( xyzMatrix::cols_constructor( x_col_pointer, y_col_pointer, z_col_pointer ) )

Definition at line 237 of file xyzMatrix.hh.

template<typename >
template<typename U >
static xyzMatrix numeric::xyzMatrix< typename >::cols_constructor ( xyzVector< U > const &  col_x,
xyzVector< U > const &  col_y,
xyzVector< U > const &  col_z 
)
inlinestatic

xyzVector columns named constructor

Note
Can be faster than cols() construction due to return value optimization
Constructor usage: xyzMatrix m( xyzMatrix::cols_constructor( x_col_vector, y_col_vector, z_col_vector ) )

Definition at line 296 of file xyzMatrix.hh.

template<typename >
Value numeric::xyzMatrix< typename >::det ( ) const
inline

Determinant.

Definition at line 1794 of file xyzMatrix.hh.

Referenced by numeric::inverse().

template<typename >
static xyzMatrix numeric::xyzMatrix< typename >::diag ( Value const &  xx_a,
Value const &  yy_a,
Value const &  zz_a 
)
inlinestatic

Diagonal value named constructor.

Note
diag refers to a diagonal matrix

Definition at line 494 of file xyzMatrix.hh.

template<typename >
template<typename U >
static xyzMatrix numeric::xyzMatrix< typename >::diag ( xyzVector< U > const &  diag_a)
inlinestatic

Diagonal xyzVector named constructor.

Note
diag refers to a diagonal matrix

Definition at line 514 of file xyzMatrix.hh.

template<typename >
static xyzMatrix const& numeric::xyzMatrix< typename >::I ( )
inlinestatic

Identity xyzMatrix for expressions.

Note
identity() named constructor can be faster for construction
Returns reference to function-local static object so can be used in construction of global objects

Definition at line 1269 of file xyzMatrix.hh.

template<typename >
static xyzMatrix numeric::xyzMatrix< typename >::identity ( )
inlinestatic

Identity xyzMatrix named constructor.

Note
Can be faster than I() for construction due to return value optimization

Definition at line 529 of file xyzMatrix.hh.

Referenced by numeric::fourier::SHT::idx_to_rot().

template<typename >
xyzMatrix< T > numeric::xyzMatrix< typename >::inverse ( ) const
inline

Definition at line 1826 of file xyzMatrix.hh.

template<typename >
bool numeric::xyzMatrix< typename >::is_identity ( ) const
inline

Is identity?

Definition at line 1777 of file xyzMatrix.hh.

template<typename >
bool numeric::xyzMatrix< typename >::is_zero ( ) const
inline

Is zero?

Definition at line 1764 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::left_multiply_by ( xyzMatrix< U > const &  m)
inline

Left multiply by xyzMatrix.

Definition at line 1206 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::left_multiply_by_transpose ( xyzMatrix< U > const &  m)
inline

Left multiply by transpose xyzMatrix.

Definition at line 1236 of file xyzMatrix.hh.

Referenced by numeric::eigenvalue_jacobi(), and numeric::eigenvector_jacobi().

template<typename >
Value const& numeric::xyzMatrix< typename >::operator() ( int const  i,
int const  j 
) const
inline

xyzMatrix( i, j ) const: 1-based index

Definition at line 1641 of file xyzMatrix.hh.

template<typename >
Value& numeric::xyzMatrix< typename >::operator() ( int const  i,
int const  j 
)
inline

xyzMatrix( i, j ): 1-based index

Definition at line 1659 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator*= ( xyzMatrix< U > const &  m)
inline

*= xyzMatrix

Note
Same as right_multiply_by( xyzMatrix )

Definition at line 617 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::operator*= ( Value const &  t)
inline

*= Value

Definition at line 779 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator+= ( xyzMatrix< U > const &  m)
inline

+= xyzMatrix

Definition at line 590 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::operator+= ( Value const &  t)
inline

+= Value

Definition at line 755 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator-= ( xyzMatrix< U > const &  m)
inline

-= xyzMatrix

Definition at line 603 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::operator-= ( Value const &  t)
inline

-= Value

Definition at line 767 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::operator/= ( Value const &  t)
inline

/= Value

Definition at line 791 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::operator= ( xyzMatrix< typename > const &  m)
inline

Copy assignment.

Definition at line 562 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator= ( xyzMatrix< U > const &  m)
inline

Copy assignment.

Definition at line 577 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator= ( ColsPointer< U > const &  c)
inline

Assignment from pointer to contiguous column-ordered values.

Note
Use via named assignment wrapper: m = xyzMatrix::cols( pointer )

Definition at line 651 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator= ( RowsPointer< U > const &  r)
inline

Assignment from pointer to contiguous row-ordered values.

Note
Use via named assignment wrapper: m = xyzMatrix::rows( pointer )

Definition at line 665 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator= ( ColPointers< U > const &  c)
inline

Assignment from pointers to contiguous columns.

Note
Use via named assignment wrapper: m = xyzMatrix::cols( pointer, pointer, pointer )

Definition at line 680 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator= ( RowPointers< U > const &  r)
inline

Assignment from pointers to contiguous rows.

Note
Use via named assignment wrapper: m = xyzMatrix::rows( pointer, pointer, pointer )

Definition at line 695 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator= ( ColVectors< U > const &  c)
inline

xyzVector columns assignment

Note
Use via named assignment wrapper: m = xyzMatrix::cols( xyzVector, xyzVector, xyzVector )

Definition at line 713 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::operator= ( RowVectors< U > const &  r)
inline

xyzVector rows assignment

Note
Use via named assignment wrapper: m = xyzMatrix::rows( xyzVector, xyzVector, xyzVector )

Definition at line 728 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::operator= ( Value const &  t)
inline

= Value

Definition at line 743 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::right_multiply_by ( xyzMatrix< U > const &  m)
inline

Right multiply by xyzMatrix.

Note
Same as *= xyzMatrix

Definition at line 1146 of file xyzMatrix.hh.

Referenced by numeric::eigenvalue_jacobi(), and numeric::eigenvector_jacobi().

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::right_multiply_by_transpose ( xyzMatrix< U > const &  m)
inline

Right multiply by transpose xyzMatrix.

Definition at line 1176 of file xyzMatrix.hh.

template<typename >
Vector numeric::xyzMatrix< typename >::row ( int const  i) const
inline

Row ( i ): 1-based index.

Definition at line 1441 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::row ( int const  i,
Vector const &  v 
)
inline

Row ( i, xyzVector ) assignment: 1-based index.

Definition at line 1458 of file xyzMatrix.hh.

template<typename >
Vector numeric::xyzMatrix< typename >::row_x ( ) const
inline

Row x.

Definition at line 1384 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::rows().

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::row_x ( Vector const &  v)
inline

Row x assignment.

Definition at line 1393 of file xyzMatrix.hh.

template<typename >
Vector numeric::xyzMatrix< typename >::row_y ( ) const
inline

Row y.

Definition at line 1403 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::rows().

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::row_y ( Vector const &  v)
inline

Row y assignment.

Definition at line 1412 of file xyzMatrix.hh.

template<typename >
Vector numeric::xyzMatrix< typename >::row_z ( ) const
inline

Row z.

Definition at line 1422 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::rows().

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::row_z ( Vector const &  v)
inline

Row z assignment.

Definition at line 1431 of file xyzMatrix.hh.

template<typename >
static xyzMatrix numeric::xyzMatrix< typename >::rows ( Value const &  xx_a,
Value const &  xy_a,
Value const &  xz_a,
Value const &  yx_a,
Value const &  yy_a,
Value const &  yz_a,
Value const &  zx_a,
Value const &  zy_a,
Value const &  zz_a 
)
inlinestatic

Row-ordered value named constructor.

Note
Constructor usage: xyzMatrix m( xyzMatrix::rows( xx_a, xy_a, xz_a, yx_a, yy_a, yz_a, zx_a, zy_a, zz_a ) )
Assignment usage: m = xyzMatrix::rows( xx_a, xy_a, xz_a, yx_a, yy_a, yz_a, zx_a, zy_a, zz_a )

Definition at line 322 of file xyzMatrix.hh.

Referenced by numeric::urs_Quat::asR(), numeric::FArray_to_xyzmatrix(), numeric::UniformRotationSampler::get(), numeric::x_rotation_matrix(), numeric::y_rotation_matrix(), and numeric::z_rotation_matrix().

template<typename >
template<typename U >
static RowsPointer< U > numeric::xyzMatrix< typename >::rows ( U const *  rp)
inlinestatic

Pointer to contiguous row-ordered values named constructor/assignment.

Warning
No way to check that argument points to nine contiguous values
Note
Constructor usage: xyzMatrix m( xyzMatrix::rows( rows_pointer ) )
Assignment usage: m = xyzMatrix::rows( rows_pointer )

Definition at line 361 of file xyzMatrix.hh.

template<typename >
template<typename U >
static RowPointers< U > numeric::xyzMatrix< typename >::rows ( U const *  xp,
U const *  yp,
U const *  zp 
)
inlinestatic

Pointers to contiguous rows named constructor/assignment.

Warning
No way to check that arguments each point to three contiguous values
Note
Constructor usage: xyzMatrix m( xyzMatrix::rows( x_row_pointer, y_row_pointer, z_row_pointer ) )
Assignment usage: m = xyzMatrix::rows( x_row_pointer, y_row_pointer, z_row_pointer )

Definition at line 393 of file xyzMatrix.hh.

template<typename >
template<typename U >
static RowVectors< U > numeric::xyzMatrix< typename >::rows ( xyzVector< U > const &  row_x,
xyzVector< U > const &  row_y,
xyzVector< U > const &  row_z 
)
inlinestatic

Row vectors named constructor/assignment.

Note
Constructor usage: xyzMatrix m( xyzMatrix::rows( x_row_vector, y_row_vector, z_row_vector ) )
Assignment usage: m = xyzMatrix::rows( x_row_vector, y_row_vector, z_row_vector )

Definition at line 453 of file xyzMatrix.hh.

template<typename >
template<typename U >
static xyzMatrix numeric::xyzMatrix< typename >::rows_constructor ( U const *  xp,
U const *  yp,
U const *  zp 
)
inlinestatic

Pointers to contiguous rows named constructor.

Warning
No way to check that arguments each point to three contiguous values
Note
Can be faster than rows() construction due to return value optimization
Constructor usage: xyzMatrix m( xyzMatrix::rows_constructor( x_row_pointer, y_row_pointer, z_row_pointer ) )

Definition at line 413 of file xyzMatrix.hh.

Referenced by numeric::HomogeneousTransform< double >::rotation_matrix().

template<typename >
template<typename U >
static xyzMatrix numeric::xyzMatrix< typename >::rows_constructor ( xyzVector< U > const &  row_x,
xyzVector< U > const &  row_y,
xyzVector< U > const &  row_z 
)
inlinestatic

xyzVector rows named constructor

Note
Can be faster than rows() construction due to return value optimization
Constructor usage: xyzMatrix m( xyzMatrix::rows_constructor( x_row_vector, y_row_vector, z_row_vector ) )

Definition at line 472 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::set_diagonal ( Value const &  xx_a,
Value const &  yy_a,
Value const &  zz_a 
)
inline

set diagonal of xyzMatrix from value

Note
Resets the diagonal of the matrix only (diagonal refers to diagonal entries of a matrix)

Definition at line 1034 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::set_diagonal ( xyzVector< U > const &  diag_a)
inline

Set diagonal of xyzMatrix from xyzVector.

Note
Resets the diagonal of the matrix only (diagonal refers to diagonal

Definition at line 1053 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::show ( std::ostream &  output = std::cout) const
inline

Show.

Definition at line 2066 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::subtract_diagonal ( Value const &  xx_a,
Value const &  yy_a,
Value const &  zz_a 
)
inline

Subtract values from diagonal of xyzMatrix.

Definition at line 1094 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::subtract_diagonal ( xyzVector< U > const &  diag_a)
inline

Subtract xyzVector from diagonal of xyzMatrix.

Definition at line 1111 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::to_diag ( Value const &  xx_a,
Value const &  yy_a,
Value const &  zz_a 
)
inline

Set to diagonal xyzMatrix from value.

Note
Resets the entire matrix (diag refers to a diagonal matrix)

Definition at line 1000 of file xyzMatrix.hh.

template<typename >
template<typename U >
xyzMatrix& numeric::xyzMatrix< typename >::to_diag ( xyzVector< U > const &  diag_a)
inline

Set to diagonal xyzMatrix from xyzVector.

Note
Resets the entire matrix (diag refers to a diagonal matrix)

Definition at line 1019 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::to_identity ( )
inline

Set to the identity xyzMatrix.

Definition at line 988 of file xyzMatrix.hh.

Referenced by numeric::eigenvector_jacobi(), numeric::jacobi_rotation(), and numeric::BodyPosition< typename >::to_identity().

template<typename >
Value numeric::xyzMatrix< typename >::trace ( ) const
inline

Trace.

Definition at line 1805 of file xyzMatrix.hh.

Referenced by numeric::rotation_angle(), numeric::rotation_axis(), numeric::xyzTransform< numeric::Real >::rotation_cosine(), and numeric::xyzTransform< numeric::Real >::rotation_sine().

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::transpose ( )
inline

Transpose.

Definition at line 1123 of file xyzMatrix.hh.

Referenced by numeric::BodyPosition< typename >::invert().

template<typename >
xyzMatrix numeric::xyzMatrix< typename >::transposed ( ) const
inline

Transposed copy.

Definition at line 1814 of file xyzMatrix.hh.

Referenced by numeric::xyzTransform< numeric::Real >::inv_xform(), numeric::xyzTransform< numeric::Real >::inverse(), and numeric::xyzTransform< numeric::Real >::operator~().

template<typename >
Value const& numeric::xyzMatrix< typename >::xx ( ) const
inline

Value xx const.

Definition at line 1479 of file xyzMatrix.hh.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::euler_angles_rad(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::EulerAngles< typename >::from_rotation_matrix(), numeric::operator>>(), numeric::BodyPosition< typename >::q_refresh(), numeric::BodyPosition< typename >::R_refresh(), numeric::EulerAngles< typename >::to_rotation_matrix(), numeric::urs_Quat::urs_Quat(), numeric::xyzTransform< numeric::Real >::xx(), and numeric::xyzmatrix_to_FArray().

template<typename >
Value& numeric::xyzMatrix< typename >::xx ( )
inline

Value xx.

Definition at line 1488 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::xx ( Value const &  xx_a)
inline

xx assignment

Definition at line 1680 of file xyzMatrix.hh.

template<typename >
Value const& numeric::xyzMatrix< typename >::xy ( ) const
inline

Value xy const.

Definition at line 1497 of file xyzMatrix.hh.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::operator>>(), numeric::BodyPosition< typename >::q_refresh(), numeric::BodyPosition< typename >::R_refresh(), numeric::EulerAngles< typename >::to_rotation_matrix(), numeric::urs_Quat::urs_Quat(), numeric::xyzTransform< numeric::Real >::xy(), and numeric::xyzmatrix_to_FArray().

template<typename >
Value& numeric::xyzMatrix< typename >::xy ( )
inline

Value xy.

Definition at line 1506 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::xy ( Value const &  xy_a)
inline

xy assignment

Definition at line 1689 of file xyzMatrix.hh.

template<typename >
Value const& numeric::xyzMatrix< typename >::xz ( ) const
inline

Value xz const.

Definition at line 1515 of file xyzMatrix.hh.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::euler_angles_rad(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::EulerAngles< typename >::from_rotation_matrix(), numeric::operator>>(), numeric::BodyPosition< typename >::q_refresh(), numeric::BodyPosition< typename >::R_refresh(), numeric::EulerAngles< typename >::to_rotation_matrix(), numeric::urs_Quat::urs_Quat(), numeric::xyzmatrix_to_FArray(), and numeric::xyzTransform< numeric::Real >::xz().

template<typename >
Value& numeric::xyzMatrix< typename >::xz ( )
inline

Value xz.

Definition at line 1524 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::xz ( Value const &  xz_a)
inline

xz assignment

Definition at line 1698 of file xyzMatrix.hh.

template<typename >
Value const& numeric::xyzMatrix< typename >::yx ( ) const
inline

Value yx const.

Definition at line 1533 of file xyzMatrix.hh.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::euler_angles_rad(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::operator>>(), numeric::BodyPosition< typename >::q_refresh(), numeric::BodyPosition< typename >::R_refresh(), numeric::EulerAngles< typename >::to_rotation_matrix(), numeric::urs_Quat::urs_Quat(), numeric::xyzmatrix_to_FArray(), and numeric::xyzTransform< numeric::Real >::yx().

template<typename >
Value& numeric::xyzMatrix< typename >::yx ( )
inline

Value yx.

Definition at line 1542 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::yx ( Value const &  yx_a)
inline

yx assignment

Definition at line 1707 of file xyzMatrix.hh.

template<typename >
Value const& numeric::xyzMatrix< typename >::yy ( ) const
inline

Value yy const.

Definition at line 1551 of file xyzMatrix.hh.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::operator>>(), numeric::BodyPosition< typename >::q_refresh(), numeric::BodyPosition< typename >::R_refresh(), numeric::EulerAngles< typename >::to_rotation_matrix(), numeric::urs_Quat::urs_Quat(), numeric::xyzmatrix_to_FArray(), and numeric::xyzTransform< numeric::Real >::yy().

template<typename >
Value& numeric::xyzMatrix< typename >::yy ( )
inline

Value yy.

Definition at line 1560 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::yy ( Value const &  yy_a)
inline

yy assignment

Definition at line 1716 of file xyzMatrix.hh.

template<typename >
Value const& numeric::xyzMatrix< typename >::yz ( ) const
inline

Value yz const.

Definition at line 1569 of file xyzMatrix.hh.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::euler_angles_rad(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::EulerAngles< typename >::from_rotation_matrix(), numeric::operator>>(), numeric::BodyPosition< typename >::q_refresh(), numeric::BodyPosition< typename >::R_refresh(), numeric::EulerAngles< typename >::to_rotation_matrix(), numeric::urs_Quat::urs_Quat(), numeric::xyzmatrix_to_FArray(), and numeric::xyzTransform< numeric::Real >::yz().

template<typename >
Value& numeric::xyzMatrix< typename >::yz ( )
inline

Value yz.

Definition at line 1578 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::yz ( Value const &  yz_a)
inline

yz assignment

Definition at line 1725 of file xyzMatrix.hh.

template<typename >
xyzMatrix& numeric::xyzMatrix< typename >::zero ( )
inline

Set to the zero xyzMatrix.

Definition at line 976 of file xyzMatrix.hh.

Referenced by app.pyrosetta_toolkit.window_modules.scorefunction.ScoreFxnControl.ScoreFxnControl::saveAS(), and app.pyrosetta_toolkit.window_modules.scorefunction.ScoreFxnControl.ScoreFxnControl::updateScoreandTerms().

template<typename >
Value const& numeric::xyzMatrix< typename >::zx ( ) const
inline

Value zx const.

Definition at line 1587 of file xyzMatrix.hh.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::euler_angles_rad(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::EulerAngles< typename >::from_rotation_matrix(), numeric::operator>>(), numeric::BodyPosition< typename >::q_refresh(), numeric::BodyPosition< typename >::R_refresh(), numeric::EulerAngles< typename >::to_rotation_matrix(), numeric::urs_Quat::urs_Quat(), numeric::xyzmatrix_to_FArray(), and numeric::xyzTransform< numeric::Real >::zx().

template<typename >
Value& numeric::xyzMatrix< typename >::zx ( )
inline

Value zx.

Definition at line 1596 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::zx ( Value const &  zx_a)
inline

zx assignment

Definition at line 1734 of file xyzMatrix.hh.

template<typename >
Value const& numeric::xyzMatrix< typename >::zy ( ) const
inline

Value zy const.

Definition at line 1605 of file xyzMatrix.hh.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::euler_angles_rad(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::EulerAngles< typename >::from_rotation_matrix(), numeric::operator>>(), numeric::BodyPosition< typename >::q_refresh(), numeric::BodyPosition< typename >::R_refresh(), numeric::EulerAngles< typename >::to_rotation_matrix(), numeric::urs_Quat::urs_Quat(), numeric::xyzmatrix_to_FArray(), and numeric::xyzTransform< numeric::Real >::zy().

template<typename >
Value& numeric::xyzMatrix< typename >::zy ( )
inline

Value zy.

Definition at line 1614 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::zy ( Value const &  zy_a)
inline

zy assignment

Definition at line 1743 of file xyzMatrix.hh.

template<typename >
Value const& numeric::xyzMatrix< typename >::zz ( ) const
inline

Value zz const.

Definition at line 1623 of file xyzMatrix.hh.

Referenced by numeric::alignVectorSets(), numeric::xyzTransform< numeric::Real >::euler_angles_rad(), numeric::xyzTransform< numeric::Real >::from_euler_angles_rad(), numeric::EulerAngles< typename >::from_rotation_matrix(), numeric::operator>>(), numeric::BodyPosition< typename >::q_refresh(), numeric::BodyPosition< typename >::R_refresh(), numeric::EulerAngles< typename >::to_rotation_matrix(), numeric::urs_Quat::urs_Quat(), numeric::xyzmatrix_to_FArray(), and numeric::xyzTransform< numeric::Real >::zz().

template<typename >
Value& numeric::xyzMatrix< typename >::zz ( )
inline

Value zz.

Definition at line 1632 of file xyzMatrix.hh.

template<typename >
void numeric::xyzMatrix< typename >::zz ( Value const &  zz_a)
inline

zz assignment

Definition at line 1752 of file xyzMatrix.hh.

Friends And Related Function Documentation

template<typename >
xyzVector< T > eigenvalue_jacobi ( xyzMatrix< T > const &  a,
T const &  tol 
)
friend

Classic Jacobi algorithm for the eigenvalues of a real symmetric matrix.

Note
Use eigenvector_jacobi if eigenvectors are also desired

Definition at line 918 of file xyz.functions.hh.

template<typename >
xyzVector< T > eigenvector_jacobi ( xyzMatrix< T > const &  a,
T const &  tol,
xyzMatrix< T > &  J 
)
friend

Classic Jacobi algorithm for the eigenvalues and eigenvectors of a real symmetric matrix.

Note
Use eigenvalue_jacobi if eigenvectors are not desired

Definition at line 982 of file xyz.functions.hh.

template<typename >
xyzVector< T >& inplace_product ( xyzMatrix< T > const &  m,
xyzVector< T > &  v 
)
friend

xyzMatrix * xyzVector in-place product

Note
Input xyzVector is modified

Definition at line 111 of file xyz.functions.hh.

template<typename >
xyzVector< T >& inplace_transpose_product ( xyzMatrix< T > const &  m,
xyzVector< T > &  v 
)
friend

xyzMatrix^T * xyzVector in-place transpose product

Note
Input xyzVector is modified

Definition at line 141 of file xyz.functions.hh.

template<typename >
xyzMatrix< T > inverse ( xyzMatrix< T > const &  a)
friend

Definition at line 205 of file xyz.functions.hh.

template<typename >
bool operator!= ( xyzMatrix< typename > const &  a,
xyzMatrix< typename > const &  b 
)
friend

xyzMatrix != xyzMatrix

Definition at line 1856 of file xyzMatrix.hh.

template<typename >
bool operator!= ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix != Value

Definition at line 1931 of file xyzMatrix.hh.

template<typename >
bool operator!= ( Value const &  t,
xyzMatrix< typename > const &  m 
)
friend

Value != xyzMatrix.

Definition at line 2006 of file xyzMatrix.hh.

template<typename >
xyzVector< T > operator* ( xyzMatrix< T > const &  m,
xyzVector< T > const &  v 
)
friend

xyzMatrix * xyzVector

Note
Same as product( xyzMatrix, xyzVector )

Definition at line 2259 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator* ( xyzMatrix< typename > const &  a,
xyzMatrix< typename > const &  b 
)
friend

xyzMatrix * xyzMatrix

Definition at line 893 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator* ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix * Value

Definition at line 918 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator* ( Value const &  t,
xyzMatrix< typename > const &  m 
)
friend

Value * xyzMatrix.

Definition at line 932 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator+ ( xyzMatrix< typename > const &  a,
xyzMatrix< typename > const &  b 
)
friend

xyzMatrix + xyzMatrix

Definition at line 809 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator+ ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix + Value

Definition at line 823 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator+ ( Value const &  t,
xyzMatrix< typename > const &  m 
)
friend

Value + xyzMatrix.

Definition at line 837 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator- ( xyzMatrix< typename > const &  a,
xyzMatrix< typename > const &  b 
)
friend

xyzMatrix - xyzMatrix

Definition at line 851 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator- ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix - Value

Definition at line 865 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator- ( Value const &  t,
xyzMatrix< typename > const &  m 
)
friend

Value - xyzMatrix.

Definition at line 879 of file xyzMatrix.hh.

template<typename >
xyzMatrix operator/ ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix / Value

Definition at line 946 of file xyzMatrix.hh.

template<typename >
bool operator< ( xyzMatrix< typename > const &  a,
xyzMatrix< typename > const &  b 
)
friend

xyzMatrix < xyzMatrix

Definition at line 1866 of file xyzMatrix.hh.

template<typename >
bool operator< ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix < Value

Definition at line 1941 of file xyzMatrix.hh.

template<typename >
bool operator< ( Value const &  t,
xyzMatrix< typename > const &  m 
)
friend

Value < xyzMatrix.

Definition at line 2016 of file xyzMatrix.hh.

template<typename >
bool operator<= ( xyzMatrix< typename > const &  a,
xyzMatrix< typename > const &  b 
)
friend

xyzMatrix <= xyzMatrix

Definition at line 1879 of file xyzMatrix.hh.

template<typename >
bool operator<= ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix <= Value

Definition at line 1954 of file xyzMatrix.hh.

template<typename >
bool operator<= ( Value const &  t,
xyzMatrix< typename > const &  m 
)
friend

Value <= xyzMatrix.

Definition at line 2029 of file xyzMatrix.hh.

template<typename >
bool operator== ( xyzMatrix< typename > const &  a,
xyzMatrix< typename > const &  b 
)
friend

xyzMatrix == xyzMatrix

Definition at line 1843 of file xyzMatrix.hh.

template<typename >
bool operator== ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix == Value

Definition at line 1918 of file xyzMatrix.hh.

template<typename >
bool operator== ( Value const &  t,
xyzMatrix< typename > const &  m 
)
friend

Value == xyzMatrix.

Definition at line 1993 of file xyzMatrix.hh.

template<typename >
bool operator> ( xyzMatrix< typename > const &  a,
xyzMatrix< typename > const &  b 
)
friend

xyzMatrix > xyzMatrix

Definition at line 1905 of file xyzMatrix.hh.

template<typename >
bool operator> ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix > Value

Definition at line 1980 of file xyzMatrix.hh.

template<typename >
bool operator> ( Value const &  t,
xyzMatrix< typename > const &  m 
)
friend

Value > xyzMatrix.

Definition at line 2055 of file xyzMatrix.hh.

template<typename >
bool operator>= ( xyzMatrix< typename > const &  a,
xyzMatrix< typename > const &  b 
)
friend

xyzMatrix >= xyzMatrix

Definition at line 1892 of file xyzMatrix.hh.

template<typename >
bool operator>= ( xyzMatrix< typename > const &  m,
Value const &  t 
)
friend

xyzMatrix >= Value

Definition at line 1967 of file xyzMatrix.hh.

template<typename >
bool operator>= ( Value const &  t,
xyzMatrix< typename > const &  m 
)
friend

Value >= xyzMatrix.

Definition at line 2042 of file xyzMatrix.hh.

template<typename >
xyzMatrix< T > outer_product ( xyzVector< T > const &  a,
xyzVector< T > const &  b 
)
friend

xyzVector xyzVector outer product

Definition at line 156 of file xyz.functions.hh.

template<typename >
xyzVector< T > product ( xyzMatrix< T > const &  m,
xyzVector< T > const &  v 
)
friend

xyzMatrix * xyzVector product

Note
Same as xyzMatrix * xyzVector

Definition at line 96 of file xyz.functions.hh.

template<typename >
xyzMatrix< T > projection_matrix ( xyzVector< T > const &  v)
friend

geometric center

Note
compute the geometric center of a list of points Projection matrix onto the line through a vector

Definition at line 193 of file xyz.functions.hh.

template<typename >
xyzVector< T > rotation_axis ( xyzMatrix< T > const &  R,
T &  theta 
)
friend

Transformation from rotation matrix to helical axis of rotation.

Note
Input matrix must be orthogonal
Angle of rotation is also returned
Orientation of axis chosen so that the angle of rotation is non-negative [0,pi]

Definition at line 823 of file xyz.functions.hh.

template<typename >
xyzMatrix< T > rotation_matrix ( xyzVector< T > const &  axis,
T const &  theta 
)
friend

Rotation matrix for rotation about an axis by an angle in radians.

Definition at line 548 of file xyz.functions.hh.

template<typename >
xyzVector< T > transpose_product ( xyzMatrix< T > const &  m,
xyzVector< T > const &  v 
)
friend

xyzMatrix^T * xyzVector product

Definition at line 126 of file xyz.functions.hh.

template<typename >
template<typename >
friend class xyzMatrix
friend

Definition at line 53 of file xyzMatrix.hh.

Member Data Documentation

template<typename >
Value numeric::xyzMatrix< typename >::xx_
private

Elements of the 3x3 matrix.

Definition at line 2078 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::add_diagonal(), numeric::xyzMatrix< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_x(), numeric::xyzMatrix< T >::det(), numeric::eigenvalue_jacobi(), numeric::eigenvector_jacobi(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::inverse(), numeric::xyzMatrix< T >::is_identity(), numeric::xyzMatrix< T >::is_zero(), numeric::xyzMatrix< T >::left_multiply_by(), numeric::xyzMatrix< T >::left_multiply_by_transpose(), numeric::xyzMatrix< T >::operator()(), numeric::operator*(), numeric::xyzMatrix< T >::operator*=(), numeric::xyzMatrix< T >::operator+=(), numeric::xyzMatrix< T >::operator-=(), numeric::xyzMatrix< T >::operator/=(), numeric::xyzMatrix< T >::operator=(), numeric::product(), numeric::xyzMatrix< T >::right_multiply_by(), numeric::xyzMatrix< T >::right_multiply_by_transpose(), numeric::rotation_axis(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_x(), numeric::xyzMatrix< T >::set_diagonal(), numeric::xyzMatrix< T >::show(), numeric::xyzMatrix< T >::subtract_diagonal(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzMatrix< T >::to_identity(), numeric::xyzMatrix< T >::trace(), numeric::transpose_product(), numeric::xyzMatrix< T >::transposed(), numeric::xyzMatrix< T >::xx(), and numeric::xyzMatrix< T >::zero().

template<typename >
Value numeric::xyzMatrix< typename >::xy_
private

Definition at line 2078 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_y(), numeric::xyzMatrix< T >::det(), numeric::eigenvalue_jacobi(), numeric::eigenvector_jacobi(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::inverse(), numeric::xyzMatrix< T >::is_identity(), numeric::xyzMatrix< T >::is_zero(), numeric::xyzMatrix< T >::left_multiply_by(), numeric::xyzMatrix< T >::left_multiply_by_transpose(), numeric::xyzMatrix< T >::operator()(), numeric::operator*(), numeric::xyzMatrix< T >::operator*=(), numeric::xyzMatrix< T >::operator+=(), numeric::xyzMatrix< T >::operator-=(), numeric::xyzMatrix< T >::operator/=(), numeric::xyzMatrix< T >::operator=(), numeric::product(), numeric::xyzMatrix< T >::right_multiply_by(), numeric::xyzMatrix< T >::right_multiply_by_transpose(), numeric::rotation_axis(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_x(), numeric::xyzMatrix< T >::show(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzMatrix< T >::to_identity(), numeric::xyzMatrix< T >::transpose(), numeric::transpose_product(), numeric::xyzMatrix< T >::transposed(), numeric::xyzMatrix< T >::xy(), and numeric::xyzMatrix< T >::zero().

template<typename >
Value numeric::xyzMatrix< typename >::xz_
private

Definition at line 2078 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_z(), numeric::xyzMatrix< T >::det(), numeric::eigenvalue_jacobi(), numeric::eigenvector_jacobi(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::inverse(), numeric::xyzMatrix< T >::is_identity(), numeric::xyzMatrix< T >::is_zero(), numeric::xyzMatrix< T >::left_multiply_by(), numeric::xyzMatrix< T >::left_multiply_by_transpose(), numeric::xyzMatrix< T >::operator()(), numeric::operator*(), numeric::xyzMatrix< T >::operator*=(), numeric::xyzMatrix< T >::operator+=(), numeric::xyzMatrix< T >::operator-=(), numeric::xyzMatrix< T >::operator/=(), numeric::xyzMatrix< T >::operator=(), numeric::product(), numeric::xyzMatrix< T >::right_multiply_by(), numeric::xyzMatrix< T >::right_multiply_by_transpose(), numeric::rotation_axis(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_x(), numeric::xyzMatrix< T >::show(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzMatrix< T >::to_identity(), numeric::xyzMatrix< T >::transpose(), numeric::transpose_product(), numeric::xyzMatrix< T >::transposed(), numeric::xyzMatrix< T >::xz(), and numeric::xyzMatrix< T >::zero().

template<typename >
Value numeric::xyzMatrix< typename >::yx_
private

Definition at line 2079 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_x(), numeric::xyzMatrix< T >::det(), numeric::eigenvalue_jacobi(), numeric::eigenvector_jacobi(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::inverse(), numeric::xyzMatrix< T >::is_identity(), numeric::xyzMatrix< T >::is_zero(), numeric::xyzMatrix< T >::left_multiply_by(), numeric::xyzMatrix< T >::left_multiply_by_transpose(), numeric::xyzMatrix< T >::operator()(), numeric::operator*(), numeric::xyzMatrix< T >::operator*=(), numeric::xyzMatrix< T >::operator+=(), numeric::xyzMatrix< T >::operator-=(), numeric::xyzMatrix< T >::operator/=(), numeric::xyzMatrix< T >::operator=(), numeric::product(), numeric::xyzMatrix< T >::right_multiply_by(), numeric::xyzMatrix< T >::right_multiply_by_transpose(), numeric::rotation_axis(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_y(), numeric::xyzMatrix< T >::show(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzMatrix< T >::to_identity(), numeric::xyzMatrix< T >::transpose(), numeric::transpose_product(), numeric::xyzMatrix< T >::transposed(), numeric::xyzMatrix< T >::yx(), and numeric::xyzMatrix< T >::zero().

template<typename >
Value numeric::xyzMatrix< typename >::yy_
private

Definition at line 2079 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::add_diagonal(), numeric::xyzMatrix< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_y(), numeric::xyzMatrix< T >::det(), numeric::eigenvalue_jacobi(), numeric::eigenvector_jacobi(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::inverse(), numeric::xyzMatrix< T >::is_identity(), numeric::xyzMatrix< T >::is_zero(), numeric::xyzMatrix< T >::left_multiply_by(), numeric::xyzMatrix< T >::left_multiply_by_transpose(), numeric::xyzMatrix< T >::operator()(), numeric::operator*(), numeric::xyzMatrix< T >::operator*=(), numeric::xyzMatrix< T >::operator+=(), numeric::xyzMatrix< T >::operator-=(), numeric::xyzMatrix< T >::operator/=(), numeric::xyzMatrix< T >::operator=(), numeric::product(), numeric::xyzMatrix< T >::right_multiply_by(), numeric::xyzMatrix< T >::right_multiply_by_transpose(), numeric::rotation_axis(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_y(), numeric::xyzMatrix< T >::set_diagonal(), numeric::xyzMatrix< T >::show(), numeric::xyzMatrix< T >::subtract_diagonal(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzMatrix< T >::to_identity(), numeric::xyzMatrix< T >::trace(), numeric::transpose_product(), numeric::xyzMatrix< T >::transposed(), numeric::xyzMatrix< T >::yy(), and numeric::xyzMatrix< T >::zero().

template<typename >
Value numeric::xyzMatrix< typename >::yz_
private

Definition at line 2079 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_z(), numeric::xyzMatrix< T >::det(), numeric::eigenvalue_jacobi(), numeric::eigenvector_jacobi(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::inverse(), numeric::xyzMatrix< T >::is_identity(), numeric::xyzMatrix< T >::is_zero(), numeric::xyzMatrix< T >::left_multiply_by(), numeric::xyzMatrix< T >::left_multiply_by_transpose(), numeric::xyzMatrix< T >::operator()(), numeric::operator*(), numeric::xyzMatrix< T >::operator*=(), numeric::xyzMatrix< T >::operator+=(), numeric::xyzMatrix< T >::operator-=(), numeric::xyzMatrix< T >::operator/=(), numeric::xyzMatrix< T >::operator=(), numeric::product(), numeric::xyzMatrix< T >::right_multiply_by(), numeric::xyzMatrix< T >::right_multiply_by_transpose(), numeric::rotation_axis(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_y(), numeric::xyzMatrix< T >::show(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzMatrix< T >::to_identity(), numeric::xyzMatrix< T >::transpose(), numeric::transpose_product(), numeric::xyzMatrix< T >::transposed(), numeric::xyzMatrix< T >::yz(), and numeric::xyzMatrix< T >::zero().

template<typename >
Value numeric::xyzMatrix< typename >::zx_
private

Definition at line 2080 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_x(), numeric::xyzMatrix< T >::det(), numeric::eigenvalue_jacobi(), numeric::eigenvector_jacobi(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::inverse(), numeric::xyzMatrix< T >::is_identity(), numeric::xyzMatrix< T >::is_zero(), numeric::xyzMatrix< T >::left_multiply_by(), numeric::xyzMatrix< T >::left_multiply_by_transpose(), numeric::xyzMatrix< T >::operator()(), numeric::operator*(), numeric::xyzMatrix< T >::operator*=(), numeric::xyzMatrix< T >::operator+=(), numeric::xyzMatrix< T >::operator-=(), numeric::xyzMatrix< T >::operator/=(), numeric::xyzMatrix< T >::operator=(), numeric::product(), numeric::xyzMatrix< T >::right_multiply_by(), numeric::xyzMatrix< T >::right_multiply_by_transpose(), numeric::rotation_axis(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_z(), numeric::xyzMatrix< T >::show(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzMatrix< T >::to_identity(), numeric::xyzMatrix< T >::transpose(), numeric::transpose_product(), numeric::xyzMatrix< T >::transposed(), numeric::xyzMatrix< T >::zero(), and numeric::xyzMatrix< T >::zx().

template<typename >
Value numeric::xyzMatrix< typename >::zy_
private

Definition at line 2080 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_y(), numeric::xyzMatrix< T >::det(), numeric::eigenvalue_jacobi(), numeric::eigenvector_jacobi(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::inverse(), numeric::xyzMatrix< T >::is_identity(), numeric::xyzMatrix< T >::is_zero(), numeric::xyzMatrix< T >::left_multiply_by(), numeric::xyzMatrix< T >::left_multiply_by_transpose(), numeric::xyzMatrix< T >::operator()(), numeric::operator*(), numeric::xyzMatrix< T >::operator*=(), numeric::xyzMatrix< T >::operator+=(), numeric::xyzMatrix< T >::operator-=(), numeric::xyzMatrix< T >::operator/=(), numeric::xyzMatrix< T >::operator=(), numeric::product(), numeric::xyzMatrix< T >::right_multiply_by(), numeric::xyzMatrix< T >::right_multiply_by_transpose(), numeric::rotation_axis(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_z(), numeric::xyzMatrix< T >::show(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzMatrix< T >::to_identity(), numeric::xyzMatrix< T >::transpose(), numeric::transpose_product(), numeric::xyzMatrix< T >::transposed(), numeric::xyzMatrix< T >::zero(), and numeric::xyzMatrix< T >::zy().

template<typename >
Value numeric::xyzMatrix< typename >::zz_
private

Definition at line 2080 of file xyzMatrix.hh.

Referenced by numeric::xyzMatrix< T >::add_diagonal(), numeric::xyzMatrix< T >::clear(), numeric::xyzMatrix< T >::col(), numeric::xyzMatrix< T >::col_z(), numeric::xyzMatrix< T >::det(), numeric::eigenvalue_jacobi(), numeric::eigenvector_jacobi(), numeric::inplace_product(), numeric::inplace_transpose_product(), numeric::inverse(), numeric::xyzMatrix< T >::is_identity(), numeric::xyzMatrix< T >::is_zero(), numeric::xyzMatrix< T >::left_multiply_by(), numeric::xyzMatrix< T >::left_multiply_by_transpose(), numeric::xyzMatrix< T >::operator()(), numeric::operator*(), numeric::xyzMatrix< T >::operator*=(), numeric::xyzMatrix< T >::operator+=(), numeric::xyzMatrix< T >::operator-=(), numeric::xyzMatrix< T >::operator/=(), numeric::xyzMatrix< T >::operator=(), numeric::product(), numeric::xyzMatrix< T >::right_multiply_by(), numeric::xyzMatrix< T >::right_multiply_by_transpose(), numeric::rotation_axis(), numeric::rotation_matrix(), numeric::xyzMatrix< T >::row(), numeric::xyzMatrix< T >::row_z(), numeric::xyzMatrix< T >::set_diagonal(), numeric::xyzMatrix< T >::show(), numeric::xyzMatrix< T >::subtract_diagonal(), numeric::xyzMatrix< T >::to_diag(), numeric::xyzMatrix< T >::to_identity(), numeric::xyzMatrix< T >::trace(), numeric::transpose_product(), numeric::xyzMatrix< T >::transposed(), numeric::xyzMatrix< T >::zero(), and numeric::xyzMatrix< T >::zz().

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