List of all members
clan::Mat4< Type > Class Template Reference
clanCore Math

4D matrix More...

`#include <mat2.h>`

## Public Member Functions
Operations
Mat4< Type > & | scale_self (Type x, Type y, Type z)
| Scale this matrix. More...
Mat4< Type > & | scale_self (const Vec3< Type > &scale)
| Scale this matrix. More...
Mat4< Type > & | translate_self (Type x, Type y, Type z)
| Translate this matrix. More...
Mat4< Type > & | translate_self (const Vec3< Type > &translation)
| Translate this matrix. More...
Mat4< Type > & | set_translate (Type x, Type y, Type z)
| Set this matrix translation values. More...
Mat4< Type > & | set_translate (const Vec3< Type > &translation)
| Set this matrix translation values. More...
double | det () const
| Calculate the matrix determinant of this matrix. More...
Mat4< Type > & | adjoint ()
| Calculate the adjoint (or known as adjugate) of this matrix. More...
Mat4< Type > & | inverse ()
| Calculate the matrix inverse of this matrix. More...
Mat4< Type > & | transpose ()
| Calculate the transpose of this matrix. More...
void | decompose (Vec3< Type > &out_position, Quaternionx< Type > &out_orientation, Vec3< Type > &out_scale) const
| Decompose matrix into position, orientation/rotation and scale. More...
bool | is_equal (const Mat4< Type > &other, Type epsilon) const
| Returns true if equal within the bounds of an epsilon. More...
Operators
| operator Type const * () const
| Operator that returns the matrix as a array. More...
| operator Type * ()
| Operator that returns the matrix as a array. More...
Type & | operator[] (int i)
| Operator that returns the matrix cell at the given index. More...
const Type & | operator[] (int i) const
| Operator that returns the matrix cell at the given index. More...
Type & | operator[] (unsigned int i)
| Operator that returns the matrix cell at the given index. More...
const Type & | operator[] (unsigned int i) const
| Operator that returns the matrix cell at the given index. More...
Mat4< Type > & | operator= (const Mat4< Type > &copy)
| Copy assignment operator. More...
Mat4< Type > & | operator= (const Mat3< Type > &copy)
| Copy assignment operator. More...
Mat4< Type > & | operator= (const Mat2< Type > &copy)
| Copy assignment operator. More...
Mat4< Type > | operator* (const Mat4< Type > &mult) const
| Multiplication operator. More...
Mat4< Type > | operator+ (const Mat4< Type > &add_matrix) const
| Addition operator. More...
Mat4< Type > | operator- (const Mat4< Type > &sub_matrix) const
| Subtraction operator. More...
bool | operator== (const Mat4< Type > &other) const
| Equality operator. More...
bool | operator!= (const Mat4< Type > &other)
| Not-equal operator. More...

## Construction
| Mat4 ()
| Constructs a 4x4 matrix (zero'ed) More...
| Mat4 (const Mat4< Type > &copy)
| Constructs a 4x4 matrix (copied) More...
| Mat4 (const Mat2< Type > &copy)
| Constructs a 4x4 matrix (copied from a 2d matrix) More...
| Mat4 (const Mat3< Type > &copy)
| Constructs a 4x4 matrix (copied from a 3d matrix) More...
| Mat4 (const float *init_matrix)
| Constructs a 4x4 matrix (copied from a array of floats) More...
| Mat4 (const double *init_matrix)
| Constructs a 4x4 matrix (copied from a array of doubles) More...
| Mat4 (const int64_t *init_matrix)
| Constructs a 4x4 matrix (copied from a array of 64 bit integers) More...
| Mat4 (const int32_t *init_matrix)
| Constructs a 4x4 matrix (copied from a array of 32 bit integers) More...
| Mat4 (const int16_t *init_matrix)
| Constructs a 4x4 matrix (copied from a array of 16 bit integers) More...
| Mat4 (const int8_t *init_matrix)
| Constructs a 4x4 matrix (copied from a array of 8 bit integers) More...
static Mat4< Type > | null ()
| Create a zero matrix. More...
static Mat4< Type > | identity ()
| Create the identity matrix. More...
static Mat4< Type > | frustum (Type left, Type right, Type bottom, Type top, Type z_near, Type z_far, Handedness handedness, ClipZRange clip_z)
| Create a frustum matrix. More...
static Mat4< Type > | perspective (Type field_of_view_y_degrees, Type aspect, Type z_near, Type z_far, Handedness handedness, ClipZRange clip_z)
| Create a perspective matrix. More...
static Mat4< Type > | ortho (Type left, Type right, Type bottom, Type top, Type z_near, Type z_far, Handedness handedness, ClipZRange clip_z)
| Create a ortho matrix. More...
static Mat4< Type > | ortho_2d (Type left, Type right, Type bottom, Type top, Handedness handedness, ClipZRange clip_z)
| Create a ortho_2d matrix. More...
static Mat4< Type > | rotate (const Angle &angle, Type x, Type y, Type z, bool normalize=true)
| Create a rotation matrix. More...
static Mat4< Type > | rotate (const Angle &angle, Vec3< Type > rotation, bool normalize=true)
| Create a rotation matrix. More...
static Mat4< Type > | rotate (const Angle &angle_x, const Angle &angle_y, const Angle &angle_z, EulerOrder order)
| Create a rotation matrix using euler angles. More...
static Mat4< Type > | scale (Type x, Type y, Type z)
| Create a scale matrix. More...
static Mat4< Type > | scale (const Vec3< Type > &xyz)
| Create a scale matrix. More...
static Mat4< Type > | translate (Type x, Type y, Type z)
| Create a translation matrix. More...
static Mat4< Type > | translate (const Vec3< Type > &xyz)
| Create a translation matrix. More...
static Mat4< Type > | look_at (Type eye_x, Type eye_y, Type eye_z, Type center_x, Type center_y, Type center_z, Type up_x, Type up_y, Type up_z)
| Create the "look at" matrix. More...
static Mat4< Type > | look_at (Vec3< Type > eye, Vec3< Type > center, Vec3< Type > up)
| Create the "look at" matrix. More...
static Mat4< Type > | multiply (const Mat4< Type > &matrix_1, const Mat4< Type > &matrix_2)
| Multiply 2 matrices. More...
static Mat4< Type > | add (const Mat4< Type > &matrix_1, const Mat4< Type > &matrix_2)
| Add 2 matrices. More...
static Mat4< Type > | subtract (const Mat4< Type > &matrix_1, const Mat4< Type > &matrix_2)
| Subtract 2 matrices. More...
static Mat4< Type > | adjoint (const Mat4< Type > &matrix)
| Calculate the adjoint (or known as Adjugate or Conjugate Transpose) of a matrix. More...
static Mat4< Type > | inverse (const Mat4< Type > &matrix)
| Calculate the matrix inverse of a matrix. More...
static Mat4< Type > | transpose (const Mat4< Type > &matrix)
| Calculate the transpose of a matrix. More...
static bool | is_equal (const Mat4< Type > &first, const Mat4< Type > &second, Type epsilon)
| Returns true if equal within the bounds of an epsilon. More...

## Attributes
Type | matrix [16]
| The matrix (in column-major format) More...
Vec3< Type > | get_translate () const
| Returns the translation coordinates for this matrix (in column-major format) More...
Vec3< Type > | get_euler (EulerOrder order) const
| Extract the euler angles (in radians) from a matrix (in column-major format) More...
Vec3< Type > | get_transformed_point (const Vec3< Type > &vector) const
| Get a transformed point from the matrix (in column-major format) More...

## Detailed Description

### template<typename Type>
class clan::Mat4< Type >

4D matrix

These matrix templates are defined for: int (Mat4i), float (Mat4f), double (Mat4d)

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

- mat2.h
- mat4.h