Matrix4

Represents a 4×4 floating-point matrix.

This class stores a 4×4 matrix in column-major order, consistent with the rest of the math module. It is used for affine transforms in 3D graphics, including world, view, and projection matrices. Matrix4 supports construction from individual components or column vectors, as well as element and column access and equality comparison.

Construction

Constructors

Matrix4() constexpr

Constructs a matrix from four column vectors.

Matrix4::Matrix4(const Vector4& vec0, const Vector4& vec1, const Vector4& vec2, const Vector4& vec3);

Parameter	Description
vec0	First column.
vec1	Second column.
vec2	Third column.
vec3	Fourth column.

Matrix4() constexpr

Constructs a matrix from individual components (row-major).

Matrix4::Matrix4(float n00, float n01, float n02, float n03, float n10, float n11, float n12, float n13, float n20, float n21, float n22, float n23, float n30, float n31, float n32, float n33);

Parameter	Description
n00	First row, first element.
n01	First row, second element.
n02	First row, third element.
n03	First row, fourth element.
n10	Second row, first element.
n11	Second row, second element.
n12	Second row, third element.
n13	Second row, fourth element.
n20	Third row, first element.
n21	Third row, second element.
n22	Third row, third element.
n23	Third row, fourth element.
n30	Fourth row, first element.
n31	Fourth row, second element.
n32	Fourth row, third element.
n33	Fourth row, fourth element.

Matrix4() constexpr

Constructs a diagonal matrix.

Matrix4::Matrix4(float value);

Parameter	Description
value	Value to place on the diagonal.

Functions

operator()() float &

Accesses an element by (row, column).

float& Matrix4::operator()(int row, int col);

Parameter	Description
row	Row index.
col	Column index.

operator()() const float

Accesses an element by (row, column).

const float Matrix4::operator()(int row, int col) const;

Parameter	Description
row	Row index.
col	Column index.

operator[]() Vector4&

Accesses a column vector.

Vector4& Matrix4::operator[](int col);

Parameter	Description
col	Column index.

operator[]() constVector4&

Accesses a column vector.

const Vector4& Matrix4::operator[](int col) const;

Parameter	Description
col	Column index.

Matrix4::Identity() Matrix4

Returns the identity matrix.

static constexpr Matrix4 Matrix4::Identity();

Determinant() float

Computes the determinant of a 4×4 matrix.

float Determinant(const Matrix4& mat);

Parameter	Description
mat	Input matrix.

Inverse() Matrix4

Computes the inverse of a 4×4 matrix.

Matrix4 Inverse(const Matrix4& mat);

Parameter	Description
mat	Input matrix.

operator*() Matrix4

Multiplies two 4×4 matrices.

Matrix4 operator* (const Matrix4& a, const Matrix4& b);

Parameter	Description
a	Left matrix.
b	Right matrix.

operator*() Vector3

Transforms a 3D point by a 4×4 matrix.

The input vector is treated as a position with w = 1.0.

Vector3 operator* (const Matrix4& mat, const Vector3& vec);

Parameter	Description
mat	Input matrix.
vec	Input vector.

operator*() Vector4

Multiplies a matrix by a 4D vector.

Vector4 operator* (const Matrix4& mat, const Vector4& vec);

Parameter	Description
mat	Input matrix.
vec	Input vector.

Transpose() Matrix4

Returns the transpose of a 4×4 matrix.

Matrix4 Transpose(const Matrix4& mat);

Parameter	Description
mat	Input matrix.