#include <IceMatrix3x3.h>
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;. |
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
Definition at line 20 of file IceMatrix3x3.h.
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.
inline_ void Matrix3x3::Add | ( | const Matrix3x3 & | mat | ) | [inline] |
Add another matrix.
Definition at line 159 of file IceMatrix3x3.h.
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 | ||
) |
Makes a rotation matrix mapping vector "from" to vector "to".
Returns a column.
Definition at line 80 of file IceMatrix3x3.h.
Returns a row.
Definition at line 72 of file IceMatrix3x3.h.
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.
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.
this = a * b
Definition at line 219 of file IceMatrix3x3.h.
this = a * transpose(b)
Definition at line 247 of file IceMatrix3x3.h.
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::operator Quat | ( | ) | const |
Cast a Matrix3x3 to a Quat.
Operator for Matrix3x3 Mul = Matrix3x3 * Matrix3x3;.
Definition at line 366 of file IceMatrix3x3.h.
Operator for Point Mul = Matrix3x3 * Point;.
Definition at line 383 of file IceMatrix3x3.h.
Operator for Matrix3x3 Mul = Matrix3x3 * float;.
Definition at line 386 of file IceMatrix3x3.h.
Operator for Matrix3x3 *= Matrix3x3.
Definition at line 441 of file IceMatrix3x3.h.
Operator for Matrix3x3 *= float.
Definition at line 463 of file IceMatrix3x3.h.
Operator for Matrix3x3 Plus = Matrix3x3 + Matrix3x3;.
Definition at line 348 of file IceMatrix3x3.h.
Operator for Matrix3x3 += Matrix3x3.
Definition at line 423 of file IceMatrix3x3.h.
Operator for Matrix3x3 Minus = Matrix3x3 - Matrix3x3;.
Definition at line 357 of file IceMatrix3x3.h.
Operator for Matrix3x3 -= Matrix3x3.
Definition at line 432 of file IceMatrix3x3.h.
Operator for Matrix3x3 Div = Matrix3x3 / float;.
Definition at line 404 of file IceMatrix3x3.h.
Operator for Matrix3x3 /= float.
Definition at line 472 of file IceMatrix3x3.h.
Definition at line 487 of file IceMatrix3x3.h.
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.
Sets a column.
Definition at line 82 of file IceMatrix3x3.h.
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] |
inline_ void Matrix3x3::Sub | ( | const Matrix3x3 & | mat | ) | [inline] |
Sub another matrix.
Definition at line 167 of file IceMatrix3x3.h.
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.
Operator for Matrix3x3 Mul = float * Matrix3x3;.
Definition at line 395 of file IceMatrix3x3.h.
Operator for Matrix3x3 Div = float / Matrix3x3;.
Definition at line 414 of file IceMatrix3x3.h.
float Matrix3x3::m[3][3] |
Definition at line 492 of file IceMatrix3x3.h.