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# irr::core::CMatrix4< T > Class Template Reference

4x4 matrix. Mostly used as transformation matrix for 3d calculations. More...

`#include <matrix4.h>`

List of all members.

## Public Types

enum | eConstructor { EM4CONST_NOTHING = 0, EM4CONST_COPY, EM4CONST_IDENTITY, EM4CONST_TRANSPOSED, EM4CONST_INVERSE, EM4CONST_INVERSE_TRANSPOSED }
| Constructor Flags. More...

## Public Member Functions

void | buildAxisAlignedBillboard (const core::vector3df &camPos, const core::vector3df &center, const core::vector3df &translation, const core::vector3df &axis, const core::vector3df &from)
| Builds a matrix which rotates a source vector to a look vector over an arbitrary axis.
CMatrix4< T > & | buildCameraLookAtMatrixLH (const vector3df &position, const vector3df &target, const vector3df &upVector)
| Builds a left-handed look-at matrix.
CMatrix4< T > & | buildCameraLookAtMatrixRH (const vector3df &position, const vector3df &target, const vector3df &upVector)
| Builds a right-handed look-at matrix.
CMatrix4< T > & | buildNDCToDCMatrix (const core::rect< s32 > &area, f32 zScale)
| Builds a matrix which transforms a normalized Device Coordinate to Device Coordinates.
CMatrix4< T > & | buildProjectionMatrixOrthoLH (f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar)
| Builds a left-handed orthogonal projection matrix.
CMatrix4< T > & | buildProjectionMatrixOrthoRH (f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar)
| Builds a right-handed orthogonal projection matrix.
CMatrix4< T > & | buildProjectionMatrixPerspectiveFovLH (f32 fieldOfViewRadians, f32 aspectRatio, f32 zNear, f32 zFar)
| Builds a left-handed perspective projection matrix based on a field of view.
CMatrix4< T > & | buildProjectionMatrixPerspectiveFovRH (f32 fieldOfViewRadians, f32 aspectRatio, f32 zNear, f32 zFar)
| Builds a right-handed perspective projection matrix based on a field of view.
CMatrix4< T > & | buildProjectionMatrixPerspectiveLH (f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar)
| Builds a left-handed perspective projection matrix.
CMatrix4< T > & | buildProjectionMatrixPerspectiveRH (f32 widthOfViewVolume, f32 heightOfViewVolume, f32 zNear, f32 zFar)
| Builds a right-handed perspective projection matrix.
CMatrix4< T > & | buildRotateFromTo (const core::vector3df &from, const core::vector3df &to)
| Builds a matrix that rotates from one vector to another.
CMatrix4< T > & | buildShadowMatrix (const core::vector3df &light, core::plane3df plane, f32 point=1.0f)
| Builds a matrix that flattens geometry into a plane.
CMatrix4< T > & | buildTextureTransform (f32 rotateRad, const core::vector2df &rotatecenter, const core::vector2df &translate, const core::vector2df &scale)
| Set to a texture transformation matrix with the given parameters.
| CMatrix4 (const CMatrix4< T > &other, eConstructor constructor=EM4CONST_COPY)
| Copy constructor.
| CMatrix4 (eConstructor constructor=EM4CONST_IDENTITY)
| Default constructor.
bool | equals (const core::CMatrix4< T > &other, const T tolerance=(T) ROUNDING_ERROR_f64) const
| Compare two matrices using the equal method.
bool | getDefinitelyIdentityMatrix () const
| Gets if the matrix is definitely identity matrix.
bool | getInverse (CMatrix4< T > &out) const
| Gets the inversed matrix of this one.
bool | getInversePrimitive (CMatrix4< T > &out) const
| Inverts a primitive matrix which only contains a translation and a rotation.
core::vector3d< T > | getRotationDegrees () const
| Returns the rotation, as set by setRotation().
core::vector3d< T > | getScale () const
| Get Scale.
vector3d< T > | getTranslation () const
| Gets the current translation.
void | getTransposed (CMatrix4< T > &dest) const
| Gets transposed matrix.
CMatrix4< T > | getTransposed () const
| Gets transposed matrix.
CMatrix4< T > | interpolate (const core::CMatrix4< T > &b, f32 time) const
| Creates a new matrix as interpolated matrix from two other ones.
void | inverseRotateVect (vector3df &vect) const
| Rotate a vector by the inverse of the rotation part of this matrix.
void | inverseTranslateVect (vector3df &vect) const
| Translate a vector by the inverse of the translation part of this matrix.
bool | isIdentity () const
| Returns true if the matrix is the identity matrix.
bool | isIdentity_integer_base () const
| Returns true if the matrix is the identity matrix.
bool | isOrthogonal () const
| Returns true if the matrix is orthogonal.
CMatrix4< T > & | makeIdentity ()
| Set matrix to identity.
bool | makeInverse ()
| Calculates inverse of matrix. Slow.
void | multiplyWith1x4Matrix (T *matrix) const
| Multiplies this matrix by a 1x4 matrix.
bool | operator!= (const CMatrix4< T > &other) const
| Returns true if other matrix is not equal to this matrix.
const T & | operator() (const s32 row, const s32 col) const
| Simple operator for directly accessing every element of the matrix.
T & | operator() (const s32 row, const s32 col)
| Simple operator for directly accessing every element of the matrix.
CMatrix4< T > | operator* (const T &scalar) const
| Multiply by scalar.
CMatrix4< T > | operator* (const CMatrix4< T > &other) const
| Multiply by another matrix.
CMatrix4< T > & | operator*= (const T &scalar)
| Multiply by scalar.
CMatrix4< T > & | operator*= (const CMatrix4< T > &other)
| Multiply by another matrix.
CMatrix4< T > | operator+ (const CMatrix4< T > &other) const
| Add another matrix.
CMatrix4< T > & | operator+= (const CMatrix4< T > &other)
| Add another matrix.
CMatrix4< T > | operator- (const CMatrix4< T > &other) const
| Subtract another matrix.
CMatrix4< T > & | operator-= (const CMatrix4< T > &other)
| Subtract another matrix.
CMatrix4< T > & | operator= (const T &scalar)
| Sets all elements of this matrix to the value.
CMatrix4< T > & | operator= (const CMatrix4< T > &other)
| Sets this matrix equal to the other matrix.
bool | operator== (const CMatrix4< T > &other) const
| Returns true if other matrix is equal to this matrix.
const T & | operator[] (u32 index) const
| Simple operator for linearly accessing every element of the matrix.
T & | operator[] (u32 index)
| Simple operator for linearly accessing every element of the matrix.
T * | pointer ()
const T * | pointer () const
| Returns pointer to internal array.
void | rotateVect (T *out, const core::vector3df &in) const
| An alternate transform vector method, writing into an array of 3 floats.
void | rotateVect (core::vector3df &out, const core::vector3df &in) const
| An alternate transform vector method, writing into a second vector.
void | rotateVect (vector3df &vect) const
| Rotate a vector by the rotation part of this matrix.
CMatrix4< T > & | setbyproduct (const CMatrix4< T > &other_a, const CMatrix4< T > &other_b)
| set this matrix to the product of two matrices
CMatrix4< T > & | setbyproduct_nocheck (const CMatrix4< T > &other_a, const CMatrix4< T > &other_b)
| Set this matrix to the product of two matrices.
void | setDefinitelyIdentityMatrix (bool isDefinitelyIdentityMatrix)
| Sets if the matrix is definitely identity matrix.
CMatrix4< T > & | setInverseRotationDegrees (const vector3d< T > &rotation)
| Make an inverted rotation matrix from Euler angles.
CMatrix4< T > & | setInverseRotationRadians (const vector3d< T > &rotation)
| Make an inverted rotation matrix from Euler angles.
CMatrix4< T > & | setInverseTranslation (const vector3d< T > &translation)
| Set the inverse translation of the current matrix. Will erase any previous values.
CMatrix4< T > & | setM (const T *data)
| Sets all matrix data members at once.
void | setRotationCenter (const core::vector3df &center, const core::vector3df &translate)
| Builds a combined matrix which translates to a center before rotation and translates from origin afterwards.
CMatrix4< T > & | setRotationDegrees (const vector3d< T > &rotation)
| Make a rotation matrix from Euler angles. The 4th row and column are unmodified.
CMatrix4< T > & | setRotationRadians (const vector3d< T > &rotation)
| Make a rotation matrix from Euler angles. The 4th row and column are unmodified.
CMatrix4< T > & | setScale (const T scale)
| Set Scale.
CMatrix4< T > & | setScale (const vector3d< T > &scale)
| Set Scale.
CMatrix4< T > & | setTextureRotationCenter (f32 radAngle)
| Set texture transformation rotation.
CMatrix4< T > & | setTextureScale (f32 sx, f32 sy)
| Set texture transformation scale.
CMatrix4< T > & | setTextureScaleCenter (f32 sx, f32 sy)
| Set texture transformation scale, and recenter at (0.5,0.5).
CMatrix4< T > & | setTextureTranslate (f32 x, f32 y)
| Set texture transformation translation.
CMatrix4< T > & | setTextureTranslateTransposed (f32 x, f32 y)
| Set texture transformation translation, using a transposed representation.
CMatrix4< T > & | setTranslation (const vector3d< T > &translation)
| Set the translation of the current matrix. Will erase any previous values.
void | transformBox (core::aabbox3d< f32 > &box) const
| Transforms a axis aligned bounding box.
void | transformBoxEx (core::aabbox3d< f32 > &box) const
| Transforms a axis aligned bounding box.
void | transformPlane (const core::plane3d< f32 > &in, core::plane3d< f32 > &out) const
| Transforms a plane by this matrix.
void | transformPlane (core::plane3d< f32 > &plane) const
| Transforms a plane by this matrix.
void | transformVect (T *out, const core::vector3df &in) const
| An alternate transform vector method, writing into an array of 4 floats.
void | transformVect (vector3df &out, const vector3df &in) const
| Transforms input vector by this matrix and stores result in output vector.
void | transformVect (vector3df &vect) const
| Transforms the vector by this matrix.
void | translateVect (vector3df &vect) const
| Translate a vector by the translation part of this matrix.

## Detailed Description

### template<class T>
class irr::core::CMatrix4< T >

4x4 matrix. Mostly used as transformation matrix for 3d calculations.

The matrix is a D3D style matrix, row major with translations in the 4th row.

Definition at line 46 of file matrix4.h.

## Member Enumeration Documentation

template<class T>

enum irr::core::CMatrix4::eConstructor

Constructor Flags.

Enumerator:

  EM4CONST_NOTHING |
  EM4CONST_COPY |
  EM4CONST_IDENTITY |
  EM4CONST_TRANSPOSED |
  EM4CONST_INVERSE |
  EM4CONST_INVERSE_TRANSPOSED |

Definition at line 51 of file matrix4.h.

## Constructor & Destructor Documentation

template<class T >

irr::core::CMatrix4< T >::CMatrix4 | ( | eConstructor | constructor = `EM4CONST_IDENTITY` | ) | `[inline]`

Default constructor.

Parameters:

  | constructor | Choose the initialization style

Definition at line 405 of file matrix4.h.

template<class T >

irr::core::CMatrix4< T >::CMatrix4 | ( | const CMatrix4< T > & | other,
|  | eConstructor | constructor = `EM4CONST_COPY` |
| ) |  |  | `[inline]`

Copy constructor.

Parameters:

  | other | Other matrix to copy from
  | constructor | Choose the initialization style

Definition at line 428 of file matrix4.h.

References irr::core::CMatrix4< T >::getInverse(), and irr::core::CMatrix4< T >::getTransposed().

## Member Function Documentation

template<class T >

void irr::core::CMatrix4< T >::buildAxisAlignedBillboard | ( | const core::vector3df & | camPos,
|  | const core::vector3df & | center,
|  | const core::vector3df & | translation,
|  | const core::vector3df & | axis,
|  | const core::vector3df & | from |
| ) |  |  | `[inline]`

Builds a matrix which rotates a source vector to a look vector over an arbitrary axis.

Parameters:

  | camPos,: | viewer position in world coo
  | center,: | object position in world-coo and rotation pivot
  | translation,: | object final translation from center
  | axis,: | axis to rotate about
  | from,: | source vector to rotate from

Definition at line 1873 of file matrix4.h.

References irr::core::vector3d< T >::crossProduct(), irr::core::vector3d< T >::dotProduct(), irr::core::vector3d< T >::normalize(), irr::core::CMatrix4< T >::setRotationCenter(), irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildCameraLookAtMatrixLH | ( | const vector3df & | position,
|  | const vector3df & | target,
|  | const vector3df & | upVector |
| ) |  |  | `[inline]`

Builds a left-handed look-at matrix.

Definition at line 1658 of file matrix4.h.

References irr::core::vector3d< T >::crossProduct(), irr::core::vector3d< T >::dotProduct(), irr::core::vector3d< T >::normalize(), irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildCameraLookAtMatrixRH | ( | const vector3df & | position,
|  | const vector3df & | target,
|  | const vector3df & | upVector |
| ) |  |  | `[inline]`

Builds a right-handed look-at matrix.

Definition at line 1699 of file matrix4.h.

References irr::core::vector3d< T >::crossProduct(), irr::core::vector3d< T >::dotProduct(), irr::core::vector3d< T >::normalize(), irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildNDCToDCMatrix | ( | const core::rect< s32 > & | area,
|  | f32 | zScale |
| ) |  |  | `[inline]`

Builds a matrix which transforms a normalized Device Coordinate to Device Coordinates.

Used to scale <-1,-1><1,1> to viewport, for example from <-1,-1> <1,1> to the viewport <0,0><0,640>

Definition at line 1796 of file matrix4.h.

References irr::core::rect< T >::getHeight(), irr::core::rect< T >::getWidth(), irr::core::rect< T >::LowerRightCorner, irr::core::CMatrix4< T >::makeIdentity(), irr::core::CMatrix4< T >::setScale(), and irr::core::rect< T >::UpperLeftCorner.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildProjectionMatrixOrthoLH | ( | f32 | widthOfViewVolume,
|  | f32 | heightOfViewVolume,
|  | f32 | zNear,
|  | f32 | zFar |
| ) |  |  | `[inline]`

Builds a left-handed orthogonal projection matrix.

Definition at line 1487 of file matrix4.h.

References _IRR_DEBUG_BREAK_IF.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildProjectionMatrixOrthoRH | ( | f32 | widthOfViewVolume,
|  | f32 | heightOfViewVolume,
|  | f32 | zNear,
|  | f32 | zFar |
| ) |  |  | `[inline]`

Builds a right-handed orthogonal projection matrix.

Definition at line 1522 of file matrix4.h.

References _IRR_DEBUG_BREAK_IF.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildProjectionMatrixPerspectiveFovLH | ( | f32 | fieldOfViewRadians,
|  | f32 | aspectRatio,
|  | f32 | zNear,
|  | f32 | zFar |
| ) |  |  | `[inline]`

Builds a left-handed perspective projection matrix based on a field of view.

Definition at line 1450 of file matrix4.h.

References _IRR_DEBUG_BREAK_IF, and irr::core::reciprocal().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildProjectionMatrixPerspectiveFovRH | ( | f32 | fieldOfViewRadians,
|  | f32 | aspectRatio,
|  | f32 | zNear,
|  | f32 | zFar |
| ) |  |  | `[inline]`

Builds a right-handed perspective projection matrix based on a field of view.

Definition at line 1411 of file matrix4.h.

References _IRR_DEBUG_BREAK_IF, and irr::core::reciprocal().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildProjectionMatrixPerspectiveLH | ( | f32 | widthOfViewVolume,
|  | f32 | heightOfViewVolume,
|  | f32 | zNear,
|  | f32 | zFar |
| ) |  |  | `[inline]`

Builds a left-handed perspective projection matrix.

Definition at line 1592 of file matrix4.h.

References _IRR_DEBUG_BREAK_IF.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildProjectionMatrixPerspectiveRH | ( | f32 | widthOfViewVolume,
|  | f32 | heightOfViewVolume,
|  | f32 | zNear,
|  | f32 | zFar |
| ) |  |  | `[inline]`

Builds a right-handed perspective projection matrix.

Definition at line 1557 of file matrix4.h.

References _IRR_DEBUG_BREAK_IF.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildRotateFromTo | ( | const core::vector3df & | from,
|  | const core::vector3df & | to |
| ) |  |  | `[inline]`

Builds a matrix that rotates from one vector to another.

Parameters:

  | from,: | vector to rotate from
  | to,: | vector to rotate to
  | from,: | vector to rotate from
  | to,: | vector to rotate to

http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToMatrix/index.htm

Definition at line 1817 of file matrix4.h.

References irr::core::vector3d< T >::crossProduct(), irr::core::vector3d< T >::dotProduct(), irr::core::vector3d< T >::normalize(), irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildShadowMatrix | ( | const core::vector3df & | light,
|  | core::plane3df | plane,
|  | f32 | point = `1.0f` |
| ) |  |  | `[inline]`

Builds a matrix that flattens geometry into a plane.

Parameters:

  | light,: | light source
  | plane,: | plane into which the geometry if flattened into
  | point,: | value between 0 and 1, describing the light source. If this is 1, it is a point light, if it is 0, it is a directional light.

Definition at line 1626 of file matrix4.h.

References irr::core::plane3d< T >::D, irr::core::vector3d< T >::dotProduct(), irr::core::plane3d< T >::Normal, irr::core::vector3d< T >::normalize(), irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::buildTextureTransform | ( | f32 | rotateRad,
|  | const core::vector2df & | rotatecenter,
|  | const core::vector2df & | translate,
|  | const core::vector2df & | scale |
| ) |  |  | `[inline]`

Set to a texture transformation matrix with the given parameters.

Generate texture coordinates as linear functions so that: u = Ux*x + Uy*y + Uz*z + Uw v = Vx*x + Vy*y + Vz*z + Vw The matrix M for this case is: Ux Vx 0 0 Uy Vy 0 0 Uz Vz 0 0 Uw Vw 0 0

Definition at line 1954 of file matrix4.h.

References irr::core::vector2d< T >::X, and irr::core::vector2d< T >::Y.

template<class T >

bool irr::core::CMatrix4< T >::equals | ( | const core::CMatrix4< T > & | other,
|  | const T | tolerance = `(T)ROUNDING_ERROR_f64` |
| ) |  |  | const`[inline]`

Compare two matrices using the equal method.

Definition at line 2099 of file matrix4.h.

References irr::core::equals().

template<class T >

bool irr::core::CMatrix4< T >::getDefinitelyIdentityMatrix | ( |  | ) | const`[inline]`

Gets if the matrix is definitely identity matrix.

Definition at line 2087 of file matrix4.h.

template<class T >

bool irr::core::CMatrix4< T >::getInverse | ( | CMatrix4< T > & | out | ) | const`[inline]`

Gets the inversed matrix of this one.

Parameters:

  | out,: | where result matrix is written to.

Returns:
  Returns false if there is no inverse matrix.

Calculates the inverse of this Matrix The inverse is calculated using Cramers rule. If no inverse exists then 'false' is returned.

Definition at line 1226 of file matrix4.h.

References irr::core::CMatrix4< T >::isIdentity(), irr::core::iszero(), and irr::core::reciprocal().

Referenced by irr::core::CMatrix4< T >::CMatrix4(), and irr::core::CMatrix4< T >::makeInverse().

template<class T >

bool irr::core::CMatrix4< T >::getInversePrimitive | ( | CMatrix4< T > & | out | ) | const`[inline]`

Inverts a primitive matrix which only contains a translation and a rotation.

Parameters:

  | out,: | where result matrix is written to.

Inverts a primitive matrix which only contains a translation and a rotation

Parameters:

  | out,: | where result matrix is written to.

Definition at line 1312 of file matrix4.h.

template<class T >

core::vector3d< T > irr::core::CMatrix4< T >::getRotationDegrees | ( |  | ) | const`[inline]`

Returns the rotation, as set by setRotation().

Returns a rotation that is equivalent to that set by setRotationDegrees().

This code was orginally written by by Chev.

This code was sent in by Chev. Note that it does not necessarily return the *same* Euler angles as those set by setRotationDegrees(), but the rotation will be equivalent, i.e. will have the same result when used to rotate a vector or node.

Definition at line 848 of file matrix4.h.

References irr::core::CMatrix4< T >::getScale(), irr::core::iszero(), irr::core::RADTODEG64, irr::core::reciprocal(), irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

vector3d< T > irr::core::CMatrix4< T >::getScale | ( |  | ) | const`[inline]`

Get Scale.

Returns the absolute values of the scales of the matrix.

Note that this always returns the absolute (positive) values. Unfortunately it does not appear to be possible to extract any original negative values. The best that we could do would be to arbitrarily make one scale negative if one or three of them were negative. FIXME - return the original values.

Definition at line 783 of file matrix4.h.

References irr::core::iszero().

Referenced by irr::core::CMatrix4< T >::getRotationDegrees().

template<class T >

vector3d< T > irr::core::CMatrix4< T >::getTranslation | ( |  | ) | const`[inline]`

Gets the current translation.

Definition at line 732 of file matrix4.h.

Referenced by irr::scene::ISceneNode::getAbsolutePosition().

template<class T >

void irr::core::CMatrix4< T >::getTransposed | ( | CMatrix4< T > & | dest | ) | const`[inline]`

Gets transposed matrix.

Definition at line 1767 of file matrix4.h.

template<class T >

CMatrix4< T > irr::core::CMatrix4< T >::getTransposed | ( |  | ) | const`[inline]`

Gets transposed matrix.

Definition at line 1757 of file matrix4.h.

References irr::core::CMatrix4< T >::EM4CONST_NOTHING.

Referenced by irr::core::CMatrix4< T >::CMatrix4().

template<class T >

CMatrix4< T > irr::core::CMatrix4< T >::interpolate | ( | const core::CMatrix4< T > & | b,
|  | f32 | time |
| ) |  |  | const`[inline]`

Creates a new matrix as interpolated matrix from two other ones.

Parameters:

  | b,: | other matrix to interpolate with
  | time,: | Must be a value between 0 and 1.

Definition at line 1740 of file matrix4.h.

References irr::core::CMatrix4< T >::EM4CONST_NOTHING.

template<class T >

void irr::core::CMatrix4< T >::inverseRotateVect | ( | vector3df & | vect | ) | const`[inline]`

Rotate a vector by the inverse of the rotation part of this matrix.

Definition at line 1055 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

void irr::core::CMatrix4< T >::inverseTranslateVect | ( | vector3df & | vect | ) | const`[inline]`

Translate a vector by the inverse of the translation part of this matrix.

Definition at line 1209 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

bool irr::core::CMatrix4< T >::isIdentity | ( |  | ) | const`[inline]`

Returns true if the matrix is the identity matrix.

Definition at line 939 of file matrix4.h.

References irr::core::equals(), and irr::core::iszero().

Referenced by irr::core::CMatrix4< T >::getInverse(), irr::core::CMatrix4< T >::operator*(), irr::core::CMatrix4< T >::operator*=(), irr::core::CMatrix4< T >::setbyproduct(), irr::core::CMatrix4< T >::transformBox(), and irr::core::CMatrix4< T >::transformBoxEx().

template<class T >

bool irr::core::CMatrix4< T >::isIdentity_integer_base | ( |  | ) | const`[inline]`

Returns true if the matrix is the identity matrix.

Definition at line 994 of file matrix4.h.

References F32_VALUE_1, and irr::core::IR().

template<class T >

bool irr::core::CMatrix4< T >::isOrthogonal | ( |  | ) | const`[inline]`

Returns true if the matrix is orthogonal.

Definition at line 965 of file matrix4.h.

References irr::core::iszero().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::makeIdentity | ( |  | ) | `[inline]`

Set matrix to identity.

Definition at line 923 of file matrix4.h.

Referenced by irr::core::CMatrix4< T >::buildNDCToDCMatrix().

template<class T >

bool irr::core::CMatrix4< T >::makeInverse | ( |  | ) | `[inline]`

Calculates inverse of matrix. Slow.

Returns:
  Returns false if there is no inverse matrix.

Definition at line 1343 of file matrix4.h.

References irr::core::CMatrix4< T >::EM4CONST_NOTHING, and irr::core::CMatrix4< T >::getInverse().

template<class T >

void irr::core::CMatrix4< T >::multiplyWith1x4Matrix | ( | T * | matrix | ) | const`[inline]`

Multiplies this matrix by a 1x4 matrix.

Definition at line 1187 of file matrix4.h.

template<class T >

bool irr::core::CMatrix4< T >::operator!= | ( | const CMatrix4< T > & | other | ) | const`[inline]`

Returns true if other matrix is not equal to this matrix.

Definition at line 1403 of file matrix4.h.

template<class T>

const T& irr::core::CMatrix4< T >::operator() | ( | const s32 | row,
|  | const s32 | col |
| ) |  |  | const`[inline]`

Simple operator for directly accessing every element of the matrix.

Definition at line 79 of file matrix4.h.

template<class T>

T& irr::core::CMatrix4< T >::operator() | ( | const s32 | row,
|  | const s32 | col |
| ) |  |  | `[inline]`

Simple operator for directly accessing every element of the matrix.

Definition at line 70 of file matrix4.h.

template<class T >

CMatrix4< T > irr::core::CMatrix4< T >::operator* | ( | const T & | scalar | ) | const`[inline]`

Multiply by scalar.

Definition at line 564 of file matrix4.h.

References irr::core::CMatrix4< T >::EM4CONST_NOTHING.

template<class T >

CMatrix4< T > irr::core::CMatrix4< T >::operator* | ( | const CMatrix4< T > & | other | ) | const`[inline]`

Multiply by another matrix.

multiply by another matrix

Definition at line 693 of file matrix4.h.

References irr::core::CMatrix4< T >::EM4CONST_NOTHING, and irr::core::CMatrix4< T >::isIdentity().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::operator*= | ( | const T & | scalar | ) | `[inline]`

Multiply by scalar.

Definition at line 590 of file matrix4.h.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::operator*= | ( | const CMatrix4< T > & | other | ) | `[inline]`

Multiply by another matrix.

Definition at line 614 of file matrix4.h.

References irr::core::CMatrix4< T >::isIdentity(), and irr::core::CMatrix4< T >::setbyproduct_nocheck().

template<class T >

CMatrix4< T > irr::core::CMatrix4< T >::operator+ | ( | const CMatrix4< T > & | other | ) | const`[inline]`

Add another matrix.

Definition at line 464 of file matrix4.h.

References irr::core::CMatrix4< T >::EM4CONST_NOTHING.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::operator+= | ( | const CMatrix4< T > & | other | ) | `[inline]`

Add another matrix.

Definition at line 490 of file matrix4.h.

template<class T >

CMatrix4< T > irr::core::CMatrix4< T >::operator- | ( | const CMatrix4< T > & | other | ) | const`[inline]`

Subtract another matrix.

Definition at line 514 of file matrix4.h.

References irr::core::CMatrix4< T >::EM4CONST_NOTHING.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::operator-= | ( | const CMatrix4< T > & | other | ) | `[inline]`

Subtract another matrix.

Definition at line 540 of file matrix4.h.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::operator= | ( | const T & | scalar | ) | `[inline]`

Sets all elements of this matrix to the value.

Definition at line 1375 of file matrix4.h.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::operator= | ( | const CMatrix4< T > & | other | ) | `[inline]`

Sets this matrix equal to the other matrix.

Definition at line 1362 of file matrix4.h.

template<class T >

bool irr::core::CMatrix4< T >::operator== | ( | const CMatrix4< T > & | other | ) | const`[inline]`

Returns true if other matrix is equal to this matrix.

Definition at line 1388 of file matrix4.h.

template<class T>

const T& irr::core::CMatrix4< T >::operator[] | ( | u32 | index | ) | const`[inline]`

Simple operator for linearly accessing every element of the matrix.

Definition at line 91 of file matrix4.h.

template<class T>

T& irr::core::CMatrix4< T >::operator[] | ( | u32 | index | ) | `[inline]`

Simple operator for linearly accessing every element of the matrix.

Definition at line 82 of file matrix4.h.

template<class T>

T* irr::core::CMatrix4< T >::pointer | ( |  | ) | `[inline]`

Definition at line 101 of file matrix4.h.

template<class T>

const T* irr::core::CMatrix4< T >::pointer | ( |  | ) | const`[inline]`

Returns pointer to internal array.

Definition at line 100 of file matrix4.h.

Referenced by irr::core::quaternion::getMatrix(), and irr::core::quaternion::getMatrixCenter().

template<class T >

void irr::core::CMatrix4< T >::rotateVect | ( | T * | out,
|  | const core::vector3df & | in |
| ) |  |  | const`[inline]`

An alternate transform vector method, writing into an array of 3 floats.

Definition at line 1047 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

void irr::core::CMatrix4< T >::rotateVect | ( | core::vector3df & | out,
|  | const core::vector3df & | in |
| ) |  |  | const`[inline]`

An alternate transform vector method, writing into a second vector.

Definition at line 1038 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

void irr::core::CMatrix4< T >::rotateVect | ( | vector3df & | vect | ) | const`[inline]`

Rotate a vector by the rotation part of this matrix.

Definition at line 1028 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setbyproduct | ( | const CMatrix4< T > & | other_a,
|  | const CMatrix4< T > & | other_b |
| ) |  |  | `[inline]`

set this matrix to the product of two matrices

multiply by another matrix

Definition at line 676 of file matrix4.h.

References irr::core::CMatrix4< T >::isIdentity(), and irr::core::CMatrix4< T >::setbyproduct_nocheck().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setbyproduct_nocheck | ( | const CMatrix4< T > & | other_a,
|  | const CMatrix4< T > & | other_b |
| ) |  |  | `[inline]`

Set this matrix to the product of two matrices.

multiply by another matrix

no optimization used, use it if you know you never have a identity matrix

Definition at line 641 of file matrix4.h.

Referenced by irr::core::CMatrix4< T >::operator*=(), and irr::core::CMatrix4< T >::setbyproduct().

template<class T >

void irr::core::CMatrix4< T >::setDefinitelyIdentityMatrix | ( | bool | isDefinitelyIdentityMatrix | ) | `[inline]`

Sets if the matrix is definitely identity matrix.

Definition at line 2077 of file matrix4.h.

Referenced by irr::core::quaternion::getMatrix(), and irr::core::quaternion::getMatrix_transposed().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setInverseRotationDegrees | ( | const vector3d< T > & | rotation | ) | `[inline]`

Make an inverted rotation matrix from Euler angles.

The 4th row and column are unmodified.

Definition at line 807 of file matrix4.h.

References irr::core::DEGTORAD, and irr::core::CMatrix4< T >::setInverseRotationRadians().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setInverseRotationRadians | ( | const vector3d< T > & | rotation | ) | `[inline]`

Make an inverted rotation matrix from Euler angles.

The 4th row and column are unmodified.

Definition at line 890 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

Referenced by irr::core::CMatrix4< T >::setInverseRotationDegrees().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setInverseTranslation | ( | const vector3d< T > & | translation | ) | `[inline]`

Set the inverse translation of the current matrix. Will erase any previous values.

Definition at line 751 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setM | ( | const T * | data | ) | `[inline]`

Sets all matrix data members at once.

Definition at line 2064 of file matrix4.h.

template<class T >

void irr::core::CMatrix4< T >::setRotationCenter | ( | const core::vector3df & | center,
|  | const core::vector3df & | translate |
| ) |  |  | `[inline]`

Builds a combined matrix which translates to a center before rotation and translates from origin afterwards.

Builds a combined matrix which translate to a center before rotation and translate afterwards.

Parameters:

  | center | Position to rotate around
  | translate | Translation applied after the rotation

Definition at line 1930 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

Referenced by irr::core::CMatrix4< T >::buildAxisAlignedBillboard(), and irr::core::quaternion::getMatrixCenter().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setRotationDegrees | ( | const vector3d< T > & | rotation | ) | `[inline]`

Make a rotation matrix from Euler angles. The 4th row and column are unmodified.

Definition at line 801 of file matrix4.h.

References irr::core::DEGTORAD, and irr::core::CMatrix4< T >::setRotationRadians().

Referenced by irr::scene::ISceneNode::getRelativeTransformation().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setRotationRadians | ( | const vector3d< T > & | rotation | ) | `[inline]`

Make a rotation matrix from Euler angles. The 4th row and column are unmodified.

Definition at line 813 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

Referenced by irr::core::CMatrix4< T >::setRotationDegrees().

template<class T>

CMatrix4<T>& irr::core::CMatrix4< T >::setScale | ( | const T | scale | ) | `[inline]`

Set Scale.

Definition at line 190 of file matrix4.h.

References irr::core::CMatrix4< T >::setScale().

Referenced by irr::core::CMatrix4< T >::setScale().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setScale | ( | const vector3d< T > & | scale | ) | `[inline]`

Set Scale.

Definition at line 763 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

Referenced by irr::core::CMatrix4< T >::buildNDCToDCMatrix(), and irr::scene::ISceneNode::getRelativeTransformation().

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setTextureRotationCenter | ( | f32 | radAngle | ) | `[inline]`

Set texture transformation rotation.

Rotate about z axis, recenter at (0.5,0.5). Doesn't clear other elements than those affected

Parameters:

  | radAngle | Angle in radians

Returns:
  Altered matrix

Definition at line 1990 of file matrix4.h.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setTextureScale | ( | f32 | sx,
|  | f32 | sy |
| ) |  |  | `[inline]`

Set texture transformation scale.

Doesn't clear other elements than those affected.

Parameters:

  | sx | Scale factor on x axis
  | sy | Scale factor on y axis

Returns:
  Altered matrix.

Definition at line 2036 of file matrix4.h.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setTextureScaleCenter | ( | f32 | sx,
|  | f32 | sy |
| ) |  |  | `[inline]`

Set texture transformation scale, and recenter at (0.5,0.5).

Doesn't clear other elements than those affected.

Parameters:

  | sx | Scale factor on x axis
  | sy | Scale factor on y axis

Returns:
  Altered matrix.

Definition at line 2048 of file matrix4.h.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setTextureTranslate | ( | f32 | x,
|  | f32 | y |
| ) |  |  | `[inline]`

Set texture transformation translation.

Doesn't clear other elements than those affected.

Parameters:

  | x | Offset on x axis
  | y | Offset on y axis

Returns:
  Altered matrix

Definition at line 2011 of file matrix4.h.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setTextureTranslateTransposed | ( | f32 | x,
|  | f32 | y |
| ) |  |  | `[inline]`

Set texture transformation translation, using a transposed representation.

Doesn't clear other elements than those affected.

Parameters:

  | x | Offset on x axis
  | y | Offset on y axis

Returns:
  Altered matrix

Definition at line 2024 of file matrix4.h.

template<class T >

CMatrix4< T > & irr::core::CMatrix4< T >::setTranslation | ( | const vector3d< T > & | translation | ) | `[inline]`

Set the translation of the current matrix. Will erase any previous values.

Definition at line 739 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

Referenced by irr::scene::ISceneNode::getRelativeTransformation().

template<class T >

void irr::core::CMatrix4< T >::transformBox | ( | core::aabbox3d< f32 > & | box | ) | const`[inline]`

Transforms a axis aligned bounding box.

The result box of this operation may not be accurate at all. For correct results, use transformBoxEx()

Definition at line 1122 of file matrix4.h.

References irr::core::CMatrix4< T >::isIdentity(), irr::core::aabbox3d< T >::MaxEdge, irr::core::aabbox3d< T >::MinEdge, irr::core::aabbox3d< T >::repair(), and irr::core::CMatrix4< T >::transformVect().

template<class T >

void irr::core::CMatrix4< T >::transformBoxEx | ( | core::aabbox3d< f32 > & | box | ) | const`[inline]`

Transforms a axis aligned bounding box.

Transforms a axis aligned bounding box more accurately than transformBox().

The result box of this operation should by accurate, but this operation is slower than transformBox().

Definition at line 1136 of file matrix4.h.

References irr::core::CMatrix4< T >::isIdentity(), irr::core::aabbox3d< T >::MaxEdge, irr::core::aabbox3d< T >::MinEdge, irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

Referenced by irr::scene::ISceneNode::getTransformedBoundingBox().

template<class T >

void irr::core::CMatrix4< T >::transformPlane | ( | const core::plane3d< f32 > & | in,
|  | core::plane3d< f32 > & | out |
| ) |  |  | const`[inline]`

Transforms a plane by this matrix.

Definition at line 1114 of file matrix4.h.

References irr::core::CMatrix4< T >::transformPlane().

template<class T >

void irr::core::CMatrix4< T >::transformPlane | ( | core::plane3d< f32 > & | plane | ) | const`[inline]`

Transforms a plane by this matrix.

Definition at line 1098 of file matrix4.h.

References irr::core::CMatrix4< T >::EM4CONST_INVERSE_TRANSPOSED, irr::core::plane3d< T >::getMemberPoint(), irr::core::plane3d< T >::Normal, irr::core::plane3d< T >::setPlane(), and irr::core::CMatrix4< T >::transformVect().

Referenced by irr::scene::SViewFrustum::transform(), and irr::core::CMatrix4< T >::transformPlane().

template<class T >

void irr::core::CMatrix4< T >::transformVect | ( | T * | out,
|  | const core::vector3df & | in |
| ) |  |  | const`[inline]`

An alternate transform vector method, writing into an array of 4 floats.

Definition at line 1087 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

void irr::core::CMatrix4< T >::transformVect | ( | vector3df & | out,
|  | const vector3df & | in |
| ) |  |  | const`[inline]`

Transforms input vector by this matrix and stores result in output vector.

Definition at line 1078 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

template<class T >

void irr::core::CMatrix4< T >::transformVect | ( | vector3df & | vect | ) | const`[inline]`

Transforms the vector by this matrix.

Definition at line 1064 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

Referenced by irr::scene::SVertexPositionTransformManipulator::operator()(), irr::scene::SViewFrustum::transform(), irr::core::CMatrix4< T >::transformBox(), and irr::core::CMatrix4< T >::transformPlane().

template<class T >

void irr::core::CMatrix4< T >::translateVect | ( | vector3df & | vect | ) | const`[inline]`

Translate a vector by the translation part of this matrix.

Definition at line 1217 of file matrix4.h.

References irr::core::vector3d< T >::X, irr::core::vector3d< T >::Y, and irr::core::vector3d< T >::Z.

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

- matrix4.h

| The Irrlicht Engine Documentation © 2003-2010 by Nikolaus Gebhardt. Generated on Sun Oct 24 12:42:03 2010 by Doxygen (1.6.2)