Class encapsulating a standard 4x4 homogeneous matrix. More...
#include <OgreMatrix4.h>
Public Member Functions | |
Matrix4 () | |
Default constructor. More... | |
Matrix4 (Real m00, Real m01, Real m02, Real m03, Real m10, Real m11, Real m12, Real m13, Real m20, Real m21, Real m22, Real m23, Real m30, Real m31, Real m32, Real m33) | |
Matrix4 (const Matrix3 &m3x3) | |
Creates a standard 4x4 transformation matrix with a zero translation part from a rotation/scaling 3x3 matrix. More... | |
Matrix4 (const Quaternion &rot) | |
Creates a standard 4x4 transformation matrix with a zero translation part from a rotation/scaling Quaternion. More... | |
Matrix4 | adjoint () const |
Matrix4 | concatenate (const Matrix4 &m2) const |
Matrix4 | concatenateAffine (const Matrix4 &m2) const |
Concatenate two affine matrices. More... | |
void | decomposition (Vector3 &position, Vector3 &scale, Quaternion &orientation) const |
Decompose a Matrix4 to orientation / scale / position. More... | |
Real | determinant () const |
void | extract3x3Matrix (Matrix3 &m3x3) const |
Extracts the rotation / scaling part of the Matrix as a 3x3 matrix. More... | |
Quaternion | extractQuaternion () const |
Extracts the rotation / scaling part as a quaternion from the Matrix. More... | |
Vector3 | getTrans () const |
Extracts the translation transformation part of the matrix. More... | |
bool | hasNegativeScale () const |
Determines if this matrix involves a negative scaling. More... | |
bool | hasScale () const |
Determines if this matrix involves a scaling. More... | |
Matrix4 | inverse () const |
Matrix4 | inverseAffine (void) const |
Returns the inverse of the affine matrix. More... | |
bool | isAffine (void) const |
Check whether or not the matrix is affine matrix. More... | |
void | makeInverseTransform (const Vector3 &position, const Vector3 &scale, const Quaternion &orientation) |
Building an inverse Matrix4 from orientation / scale / position. More... | |
void | makeTrans (const Vector3 &v) |
Builds a translation matrix. More... | |
void | makeTrans (Real tx, Real ty, Real tz) |
void | makeTransform (const Vector3 &position, const Vector3 &scale, const Quaternion &orientation) |
Building a Matrix4 from orientation / scale / position. More... | |
bool | operator!= (const Matrix4 &m2) const |
Tests 2 matrices for inequality. More... | |
Matrix4 | operator* (const Matrix4 &m2) const |
Matrix concatenation using '*'. More... | |
Vector3 | operator* (const Vector3 &v) const |
Vector transformation using '*'. More... | |
Vector4 | operator* (const Vector4 &v) const |
Plane | operator* (const Plane &p) const |
Matrix4 | operator* (Real scalar) const |
Matrix4 | operator+ (const Matrix4 &m2) const |
Matrix addition. More... | |
Matrix4 | operator- (const Matrix4 &m2) const |
Matrix subtraction. More... | |
void | operator= (const Matrix3 &mat3) |
Assignment from 3x3 matrix. More... | |
bool | operator== (const Matrix4 &m2) const |
Tests 2 matrices for equality. More... | |
Real * | operator[] (size_t iRow) |
const Real * | operator[] (size_t iRow) const |
void | setScale (const Vector3 &v) |
Sets the scale part of the matrix. More... | |
void | setTrans (const Vector3 &v) |
Sets the translation transformation part of the matrix. More... | |
void | swap (Matrix4 &other) |
Exchange the contents of this matrix with another. More... | |
Vector3 | transformAffine (const Vector3 &v) const |
3-D Vector transformation specially for an affine matrix. More... | |
Vector4 | transformAffine (const Vector4 &v) const |
4-D Vector transformation specially for an affine matrix. More... | |
Matrix4 | transpose (void) const |
Static Public Member Functions | |
static Matrix4 | getScale (const Vector3 &v) |
Gets a scale matrix. More... | |
static Matrix4 | getScale (Real s_x, Real s_y, Real s_z) |
Gets a scale matrix - variation for not using a vector. More... | |
static Matrix4 | getTrans (const Vector3 &v) |
Gets a translation matrix. More... | |
static Matrix4 | getTrans (Real t_x, Real t_y, Real t_z) |
Gets a translation matrix - variation for not using a vector. More... | |
Static Public Attributes | |
static const Matrix4 | CLIPSPACE2DTOIMAGESPACE |
Useful little matrix which takes 2D clipspace {-1, 1} to {0,1} and inverts the Y. More... | |
static const Matrix4 | IDENTITY |
static const Matrix4 | ZERO |
Protected Attributes | |
union { | |
Real _m [16] | |
Real m [4][4] | |
}; | |
The matrix entries, indexed by [row][col]. More... | |
Friends | |
_OgreExport friend std::ostream & | operator<< (std::ostream &o, const Matrix4 &mat) |
Function for writing to a stream. More... | |
Class encapsulating a standard 4x4 homogeneous matrix.
[ m[0][0] m[0][1] m[0][2] m[0][3] ] {x} | m[1][0] m[1][1] m[1][2] m[1][3] | * {y} | m[2][0] m[2][1] m[2][2] m[2][3] | {z} [ m[3][0] m[3][1] m[3][2] m[3][3] ] {1}
Definition at line 78 of file OgreMatrix4.h.
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Default constructor.
Definition at line 91 of file OgreMatrix4.h.
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Definition at line 95 of file OgreMatrix4.h.
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Creates a standard 4x4 transformation matrix with a zero translation part from a rotation/scaling 3x3 matrix.
Definition at line 122 of file OgreMatrix4.h.
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Creates a standard 4x4 transformation matrix with a zero translation part from a rotation/scaling Quaternion.
Definition at line 131 of file OgreMatrix4.h.
References Ogre::Quaternion::ToRotationMatrix().
Matrix4 Ogre::Matrix4::adjoint | ( | ) | const |
Definition at line 174 of file OgreMatrix4.h.
References m.
Concatenate two affine matrices.
Definition at line 586 of file OgreMatrix4.h.
References isAffine(), and m.
void Ogre::Matrix4::decomposition | ( | Vector3 & | position, |
Vector3 & | scale, | ||
Quaternion & | orientation | ||
) | const |
Decompose a Matrix4 to orientation / scale / position.
Real Ogre::Matrix4::determinant | ( | ) | const |
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Extracts the rotation / scaling part of the Matrix as a 3x3 matrix.
m3x3 | Destination Matrix3 |
Definition at line 463 of file OgreMatrix4.h.
References Ogre::Matrix3::m.
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Extracts the rotation / scaling part as a quaternion from the Matrix.
Definition at line 502 of file OgreMatrix4.h.
Gets a scale matrix.
Definition at line 436 of file OgreMatrix4.h.
References m, Ogre::Vector3::x, Ogre::Vector3::y, and Ogre::Vector3::z.
Gets a scale matrix - variation for not using a vector.
Definition at line 449 of file OgreMatrix4.h.
References m.
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Extracts the translation transformation part of the matrix.
Definition at line 368 of file OgreMatrix4.h.
Gets a translation matrix.
Definition at line 394 of file OgreMatrix4.h.
References m, Ogre::Vector3::x, Ogre::Vector3::y, and Ogre::Vector3::z.
Gets a translation matrix - variation for not using a vector.
Definition at line 408 of file OgreMatrix4.h.
References m.
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Determines if this matrix involves a negative scaling.
Definition at line 495 of file OgreMatrix4.h.
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Determines if this matrix involves a scaling.
Definition at line 478 of file OgreMatrix4.h.
References Ogre::Math::RealEqual().
Matrix4 Ogre::Matrix4::inverse | ( | ) | const |
Matrix4 Ogre::Matrix4::inverseAffine | ( | void | ) | const |
Returns the inverse of the affine matrix.
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Check whether or not the matrix is affine matrix.
Definition at line 571 of file OgreMatrix4.h.
Referenced by concatenateAffine(), and Ogre::AxisAlignedBox::transformAffine().
void Ogre::Matrix4::makeInverseTransform | ( | const Vector3 & | position, |
const Vector3 & | scale, | ||
const Quaternion & | orientation | ||
) |
Building an inverse Matrix4 from orientation / scale / position.
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Builds a translation matrix.
Definition at line 376 of file OgreMatrix4.h.
References Ogre::Vector3::x, Ogre::Vector3::y, and Ogre::Vector3::z.
Definition at line 384 of file OgreMatrix4.h.
void Ogre::Matrix4::makeTransform | ( | const Vector3 & | position, |
const Vector3 & | scale, | ||
const Quaternion & | orientation | ||
) |
Building a Matrix4 from orientation / scale / position.
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Matrix concatenation using '*'.
Definition at line 202 of file OgreMatrix4.h.
Vector transformation using '*'.
Definition at line 216 of file OgreMatrix4.h.
References Ogre::Vector3::x, Ogre::Vector3::y, and Ogre::Vector3::z.
Definition at line 228 of file OgreMatrix4.h.
References Ogre::Vector4::w, Ogre::Vector4::x, Ogre::Vector4::y, and Ogre::Vector4::z.
Definition at line 237 of file OgreMatrix4.h.
References Ogre::Plane::d, Ogre::Plane::normal, Ogre::Vector3::normalise(), transpose(), Ogre::Vector3::x, Ogre::Vector3::y, and Ogre::Vector3::z.
Definition at line 515 of file OgreMatrix4.h.
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Assignment from 3x3 matrix.
Definition at line 337 of file OgreMatrix4.h.
References Ogre::Matrix3::m.
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Definition at line 162 of file OgreMatrix4.h.
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Definition at line 168 of file OgreMatrix4.h.
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Sets the scale part of the matrix.
Definition at line 427 of file OgreMatrix4.h.
References Ogre::Vector3::x, Ogre::Vector3::y, and Ogre::Vector3::z.
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Sets the translation transformation part of the matrix.
Definition at line 359 of file OgreMatrix4.h.
References Ogre::Vector3::x, Ogre::Vector3::y, and Ogre::Vector3::z.
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Exchange the contents of this matrix with another.
Definition at line 142 of file OgreMatrix4.h.
References m.
3-D Vector transformation specially for an affine matrix.
Definition at line 616 of file OgreMatrix4.h.
References Ogre::Vector3::x, Ogre::Vector3::y, and Ogre::Vector3::z.
Referenced by Ogre::AxisAlignedBox::transformAffine().
4-D Vector transformation specially for an affine matrix.
Definition at line 630 of file OgreMatrix4.h.
References Ogre::Vector4::w, Ogre::Vector4::x, Ogre::Vector4::y, and Ogre::Vector4::z.
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Definition at line 344 of file OgreMatrix4.h.
Referenced by operator*().
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Function for writing to a stream.
Definition at line 527 of file OgreMatrix4.h.
union { ... } |
The matrix entries, indexed by [row][col].
Real Ogre::Matrix4::_m[16] |
Definition at line 84 of file OgreMatrix4.h.
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Useful little matrix which takes 2D clipspace {-1, 1} to {0,1} and inverts the Y.
Definition at line 513 of file OgreMatrix4.h.
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Definition at line 510 of file OgreMatrix4.h.
Real Ogre::Matrix4::m[4][4] |
Definition at line 83 of file OgreMatrix4.h.
Referenced by concatenate(), concatenateAffine(), getScale(), getTrans(), operator!=(), operator+(), operator-(), operator==(), and swap().
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Definition at line 509 of file OgreMatrix4.h.