Public Member Functions | Public Attributes | Friends
Matrix3x3 Class Reference

#include <IceMatrix3x3.h>

List of all members.

Public Member Functions

inline_ void Add (const Matrix3x3 &mat)
 Add another matrix.
inline_ void Add (const Matrix3x3 &a, const Matrix3x3 &b)
inline_ void Copy (const Matrix3x3 &source)
 Copy from a Matrix3x3.
float Determinant () const
 Compute the determinant of the matrix. We use the rule of Sarrus.
Matrix3x3 & Exp (const Matrix3x3 &a)
 this = exp(a)
void FromQuat (const Quat &q)
void FromQuatL2 (const Quat &q, float l2)
Matrix3x3 & FromTo (const Point &from, const Point &to)
 Makes a rotation matrix mapping vector "from" to vector "to".
inline_ void GetCol (const udword c, Point &p) const
 Returns a column.
inline_ void GetRow (const udword r, Point &p) const
 Returns a row.
inline_ const Point & GetRow (const udword r) const
 Returns a row.
inline_ Point & GetRow (const udword r)
 Returns a row.
inline_ void Identity ()
 Sets the identity matrix.
Matrix3x3 & Invert ()
 Invert the matrix. Determinant must be different from zero, else matrix can't be inverted.
inline_ bool IsIdentity () const
 Checks for identity.
inline_ BOOL IsValid () const
 Checks matrix validity.
inline_ void Mac (const Matrix3x3 &a, const Matrix3x3 &b, float s)
 Mac.
inline_ void Mac (const Matrix3x3 &a, float s)
 Mac.
inline_ Matrix3x3 ()
 Empty constructor.
inline_ Matrix3x3 (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
 Constructor from 9 values.
inline_ Matrix3x3 (const Matrix3x3 &mat)
 Copy constructor.
inline_ void Mult (const Matrix3x3 &a, float s)
 this = A * s
inline_ void Mult (const Matrix3x3 &a, const Matrix3x3 &b)
 this = a * b
inline_ void MultABt (const Matrix3x3 &a, const Matrix3x3 &b)
 this = a * transpose(b)
inline_ void MultAtB (const Matrix3x3 &a, const Matrix3x3 &b)
 this = transpose(a) * b
inline_ void Neg ()
 Negates the matrix.
inline_ void Neg (const Matrix3x3 &mat)
 Neg from another matrix.
Matrix3x3 & Normalize ()
 operator Matrix4x4 () const
 Cast a Matrix3x3 to a Matrix4x4.
 operator Quat () const
 Cast a Matrix3x3 to a Quat.
inline_ Matrix3x3 operator* (const Matrix3x3 &mat) const
 Operator for Matrix3x3 Mul = Matrix3x3 * Matrix3x3;.
inline_ Point operator* (const Point &v) const
 Operator for Point Mul = Matrix3x3 * Point;.
inline_ Matrix3x3 operator* (float s) const
 Operator for Matrix3x3 Mul = Matrix3x3 * float;.
inline_ Matrix3x3 & operator*= (const Matrix3x3 &mat)
 Operator for Matrix3x3 *= Matrix3x3.
inline_ Matrix3x3 & operator*= (float s)
 Operator for Matrix3x3 *= float.
inline_ Matrix3x3 operator+ (const Matrix3x3 &mat) const
 Operator for Matrix3x3 Plus = Matrix3x3 + Matrix3x3;.
inline_ Matrix3x3 & operator+= (const Matrix3x3 &mat)
 Operator for Matrix3x3 += Matrix3x3.
inline_ Matrix3x3 operator- (const Matrix3x3 &mat) const
 Operator for Matrix3x3 Minus = Matrix3x3 - Matrix3x3;.
inline_ Matrix3x3 & operator-= (const Matrix3x3 &mat)
 Operator for Matrix3x3 -= Matrix3x3.
inline_ Matrix3x3 operator/ (float s) const
 Operator for Matrix3x3 Div = Matrix3x3 / float;.
inline_ Matrix3x3 & operator/= (float s)
 Operator for Matrix3x3 /= float.
inline_ const Point & operator[] (int row) const
inline_ Point & operator[] (int row)
Matrix3x3 & Rot (float angle, const Point &axis)
 Make a rotation matrix about an arbitrary axis.
void RotX (float angle)
void RotY (float angle)
void RotYX (float y, float x)
void RotZ (float angle)
inline_ void Scale (const Point &p)
 Scales from a Point. Each row is multiplied by a component.
inline_ void Scale (float sx, float sy, float sz)
 Scales from floats. Each row is multiplied by a value.
inline_ void Set (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
 Assign values.
inline_ void SetCol (const udword c, const Point &p)
 Sets a column.
inline_ void SetRow (const udword r, const Point &p)
 Sets a row.
inline_ void SetScale (const Point &p)
 Sets the scale from a Point. The point is put on the diagonal.
inline_ void SetScale (float sx, float sy, float sz)
 Sets the scale from floats. Values are put on the diagonal.
inline_ void SkewSymmetric (const Point &a)
inline_ void Sub (const Matrix3x3 &mat)
 Sub another matrix.
inline_ void Sub (const Matrix3x3 &a, const Matrix3x3 &b)
inline_ float Trace () const
 Computes the trace. The trace is the sum of the 3 diagonal components.
void Transpose ()
 Transpose the matrix.
void Transpose (const Matrix3x3 &a)
 this = Transpose(a)
inline_ void Zero ()
 Clears the matrix.
inline_ ~Matrix3x3 ()
 Destructor.

Public Attributes

float m [3][3]

Friends

inline_ friend Matrix3x3 operator* (float s, const Matrix3x3 &mat)
 Operator for Matrix3x3 Mul = float * Matrix3x3;.
inline_ friend Matrix3x3 operator/ (float s, const Matrix3x3 &mat)
 Operator for Matrix3x3 Div = float / Matrix3x3;.

Detailed Description

3x3 matrix. DirectX-compliant, ie row-column order, ie m[Row][Col]. Same as: m11 m12 m13 first row. m21 m22 m23 second row. m31 m32 m33 third row. Stored in memory as m11 m12 m13 m21...

Multiplication rules:

[x'y'z'] = [xyz][M]

x' = x*m11 + y*m21 + z*m31 y' = x*m12 + y*m22 + z*m32 z' = x*m13 + y*m23 + z*m33

Author:
Pierre Terdiman
Version:
1.0

Definition at line 20 of file IceMatrix3x3.h.

Constructor & Destructor Documentation

inline_ Matrix3x3::Matrix3x3 ( ) [inline]

Empty constructor.

Definition at line 24 of file IceMatrix3x3.h.

inline_ Matrix3x3::Matrix3x3 ( float  m00,
float  m01,
float  m02,
float  m10,
float  m11,
float  m12,
float  m20,
float  m21,
float  m22 
) [inline]

Constructor from 9 values.

Definition at line 26 of file IceMatrix3x3.h.

inline_ Matrix3x3::Matrix3x3 ( const Matrix3x3 &  mat) [inline]

Copy constructor.

Definition at line 33 of file IceMatrix3x3.h.

inline_ Matrix3x3::~Matrix3x3 ( ) [inline]

Destructor.

Definition at line 35 of file IceMatrix3x3.h.

Member Function Documentation

inline_ void Matrix3x3::Add ( const Matrix3x3 &  mat) [inline]

Add another matrix.

Definition at line 159 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Add ( const Matrix3x3 &  a,
const Matrix3x3 &  b 
) [inline]

Definition at line 204 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Copy ( const Matrix3x3 &  source) [inline]

Copy from a Matrix3x3.

Definition at line 68 of file IceMatrix3x3.h.

float Matrix3x3::Determinant ( ) const [inline]

Compute the determinant of the matrix. We use the rule of Sarrus.

Definition at line 303 of file IceMatrix3x3.h.

Matrix3x3& Matrix3x3::Exp ( const Matrix3x3 &  a)

this = exp(a)

void Matrix3x3::FromQuat ( const Quat &  q)
void Matrix3x3::FromQuatL2 ( const Quat &  q,
float  l2 
)
Matrix3x3& Matrix3x3::FromTo ( const Point &  from,
const Point &  to 
)

Makes a rotation matrix mapping vector "from" to vector "to".

inline_ void Matrix3x3::GetCol ( const udword  c,
Point &  p 
) const [inline]

Returns a column.

Definition at line 80 of file IceMatrix3x3.h.

inline_ void Matrix3x3::GetRow ( const udword  r,
Point &  p 
) const [inline]

Returns a row.

Definition at line 72 of file IceMatrix3x3.h.

inline_ const Point& Matrix3x3::GetRow ( const udword  r) const [inline]

Returns a row.

Definition at line 74 of file IceMatrix3x3.h.

inline_ Point& Matrix3x3::GetRow ( const udword  r) [inline]

Returns a row.

Definition at line 76 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Identity ( ) [inline]

Sets the identity matrix.

Definition at line 89 of file IceMatrix3x3.h.

Matrix3x3& Matrix3x3::Invert ( ) [inline]

Invert the matrix. Determinant must be different from zero, else matrix can't be inverted.

Definition at line 317 of file IceMatrix3x3.h.

inline_ bool Matrix3x3::IsIdentity ( ) const [inline]

Checks for identity.

Definition at line 91 of file IceMatrix3x3.h.

inline_ BOOL Matrix3x3::IsValid ( ) const [inline]

Checks matrix validity.

Definition at line 109 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Mac ( const Matrix3x3 &  a,
const Matrix3x3 &  b,
float  s 
) [inline]

Mac.

Definition at line 174 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Mac ( const Matrix3x3 &  a,
float  s 
) [inline]

Mac.

Definition at line 189 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Mult ( const Matrix3x3 &  a,
float  s 
) [inline]

this = A * s

Definition at line 197 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Mult ( const Matrix3x3 &  a,
const Matrix3x3 &  b 
) [inline]

this = a * b

Definition at line 219 of file IceMatrix3x3.h.

inline_ void Matrix3x3::MultABt ( const Matrix3x3 &  a,
const Matrix3x3 &  b 
) [inline]

this = a * transpose(b)

Definition at line 247 of file IceMatrix3x3.h.

inline_ void Matrix3x3::MultAtB ( const Matrix3x3 &  a,
const Matrix3x3 &  b 
) [inline]

this = transpose(a) * b

Definition at line 233 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Neg ( ) [inline]

Negates the matrix.

Definition at line 143 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Neg ( const Matrix3x3 &  mat) [inline]

Neg from another matrix.

Definition at line 151 of file IceMatrix3x3.h.

Matrix3x3& Matrix3x3::Normalize ( )
Matrix3x3::operator Matrix4x4 ( ) const

Cast a Matrix3x3 to a Matrix4x4.

Matrix3x3::operator Quat ( ) const

Cast a Matrix3x3 to a Quat.

inline_ Matrix3x3 Matrix3x3::operator* ( const Matrix3x3 &  mat) const [inline]

Operator for Matrix3x3 Mul = Matrix3x3 * Matrix3x3;.

Definition at line 366 of file IceMatrix3x3.h.

inline_ Point Matrix3x3::operator* ( const Point &  v) const [inline]

Operator for Point Mul = Matrix3x3 * Point;.

Definition at line 383 of file IceMatrix3x3.h.

inline_ Matrix3x3 Matrix3x3::operator* ( float  s) const [inline]

Operator for Matrix3x3 Mul = Matrix3x3 * float;.

Definition at line 386 of file IceMatrix3x3.h.

inline_ Matrix3x3& Matrix3x3::operator*= ( const Matrix3x3 &  mat) [inline]

Operator for Matrix3x3 *= Matrix3x3.

Definition at line 441 of file IceMatrix3x3.h.

inline_ Matrix3x3& Matrix3x3::operator*= ( float  s) [inline]

Operator for Matrix3x3 *= float.

Definition at line 463 of file IceMatrix3x3.h.

inline_ Matrix3x3 Matrix3x3::operator+ ( const Matrix3x3 &  mat) const [inline]

Operator for Matrix3x3 Plus = Matrix3x3 + Matrix3x3;.

Definition at line 348 of file IceMatrix3x3.h.

inline_ Matrix3x3& Matrix3x3::operator+= ( const Matrix3x3 &  mat) [inline]

Operator for Matrix3x3 += Matrix3x3.

Definition at line 423 of file IceMatrix3x3.h.

inline_ Matrix3x3 Matrix3x3::operator- ( const Matrix3x3 &  mat) const [inline]

Operator for Matrix3x3 Minus = Matrix3x3 - Matrix3x3;.

Definition at line 357 of file IceMatrix3x3.h.

inline_ Matrix3x3& Matrix3x3::operator-= ( const Matrix3x3 &  mat) [inline]

Operator for Matrix3x3 -= Matrix3x3.

Definition at line 432 of file IceMatrix3x3.h.

inline_ Matrix3x3 Matrix3x3::operator/ ( float  s) const [inline]

Operator for Matrix3x3 Div = Matrix3x3 / float;.

Definition at line 404 of file IceMatrix3x3.h.

inline_ Matrix3x3& Matrix3x3::operator/= ( float  s) [inline]

Operator for Matrix3x3 /= float.

Definition at line 472 of file IceMatrix3x3.h.

inline_ const Point& Matrix3x3::operator[] ( int  row) const [inline]

Definition at line 487 of file IceMatrix3x3.h.

inline_ Point& Matrix3x3::operator[] ( int  row) [inline]

Definition at line 488 of file IceMatrix3x3.h.

Matrix3x3& Matrix3x3::Rot ( float  angle,
const Point &  axis 
)

Make a rotation matrix about an arbitrary axis.

void Matrix3x3::RotX ( float  angle)

Set a rotation matrix around the X axis. 1 0 0 RX = 0 cx sx 0 -sx cx

void Matrix3x3::RotY ( float  angle)

Set a rotation matrix around the Y axis. cy 0 -sy RY = 0 1 0 sy 0 cy

void Matrix3x3::RotYX ( float  y,
float  x 
)

cy sx.sy -sy.cx RY.RX 0 cx sx sy -sx.cy cx.cy

void Matrix3x3::RotZ ( float  angle)

Set a rotation matrix around the Z axis. cz sz 0 RZ = -sz cz 0 0 0 1

inline_ void Matrix3x3::Scale ( const Point &  p) [inline]

Scales from a Point. Each row is multiplied by a component.

Definition at line 52 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Scale ( float  sx,
float  sy,
float  sz 
) [inline]

Scales from floats. Each row is multiplied by a value.

Definition at line 60 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Set ( float  m00,
float  m01,
float  m02,
float  m10,
float  m11,
float  m12,
float  m20,
float  m21,
float  m22 
) [inline]

Assign values.

Definition at line 38 of file IceMatrix3x3.h.

inline_ void Matrix3x3::SetCol ( const udword  c,
const Point &  p 
) [inline]

Sets a column.

Definition at line 82 of file IceMatrix3x3.h.

inline_ void Matrix3x3::SetRow ( const udword  r,
const Point &  p 
) [inline]

Sets a row.

Definition at line 78 of file IceMatrix3x3.h.

inline_ void Matrix3x3::SetScale ( const Point &  p) [inline]

Sets the scale from a Point. The point is put on the diagonal.

Definition at line 46 of file IceMatrix3x3.h.

inline_ void Matrix3x3::SetScale ( float  sx,
float  sy,
float  sz 
) [inline]

Sets the scale from floats. Values are put on the diagonal.

Definition at line 49 of file IceMatrix3x3.h.

inline_ void Matrix3x3::SkewSymmetric ( const Point &  a) [inline]

Makes a skew-symmetric matrix (a.k.a. Star(*) Matrix) [ 0.0 -a.z a.y ] [ a.z 0.0 -a.x ] [ -a.y a.x 0.0 ] This is also called a "cross matrix" since for any vectors A and B, A^B = Skew(A) * B = - B * Skew(A);

Definition at line 127 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Sub ( const Matrix3x3 &  mat) [inline]

Sub another matrix.

Definition at line 167 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Sub ( const Matrix3x3 &  a,
const Matrix3x3 &  b 
) [inline]

Definition at line 211 of file IceMatrix3x3.h.

inline_ float Matrix3x3::Trace ( ) const [inline]

Computes the trace. The trace is the sum of the 3 diagonal components.

Definition at line 85 of file IceMatrix3x3.h.

void Matrix3x3::Transpose ( ) [inline]

Transpose the matrix.

Definition at line 287 of file IceMatrix3x3.h.

void Matrix3x3::Transpose ( const Matrix3x3 &  a) [inline]

this = Transpose(a)

Definition at line 295 of file IceMatrix3x3.h.

inline_ void Matrix3x3::Zero ( ) [inline]

Clears the matrix.

Definition at line 87 of file IceMatrix3x3.h.

Friends And Related Function Documentation

inline_ friend Matrix3x3 operator* ( float  s,
const Matrix3x3 &  mat 
) [friend]

Operator for Matrix3x3 Mul = float * Matrix3x3;.

Definition at line 395 of file IceMatrix3x3.h.

inline_ friend Matrix3x3 operator/ ( float  s,
const Matrix3x3 &  mat 
) [friend]

Operator for Matrix3x3 Div = float / Matrix3x3;.

Definition at line 414 of file IceMatrix3x3.h.

Member Data Documentation

float Matrix3x3::m[3][3]

Definition at line 492 of file IceMatrix3x3.h.

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

openhrp3
Author(s): AIST, General Robotix Inc., Nakamura Lab of Dept. of Mechano Informatics at University of Tokyo
autogenerated on Thu Apr 11 2019 03:30:21