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 assignment operator. More... | |
Mat4< Type > & | operator= (const Mat3< Type > ©) |
Copy assignment operator. More... | |
Mat4< Type > & | operator= (const Mat2< Type > ©) |
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 > ©) | |
Constructs a 4x4 matrix (copied) More... | |
Mat4 (const Mat2< Type > ©) | |
Constructs a 4x4 matrix (copied from a 2d matrix) More... | |
Mat4 (const Mat3< Type > ©) | |
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... | |
4D matrix
These matrix templates are defined for: int (Mat4i), float (Mat4f), double (Mat4d)