Matrix3

Represents a 3×3 floating-point matrix.

This class represents a 3×3 matrix stored in column-major order, consistent with the rest of the math module. It is commonly used for linear transforms such as rotation, scaling, or for extracting the upper-left 3×3 portion of a Matrix4. The class supports construction from individual components, vectors, or a full 4×4 matrix, as well as element access and comparison.

Construction

Constructors

Matrix3() constexpr

Extracts the upper-left 3×3 block from a 4×4 matrix.

Matrix3::Matrix3(const Matrix4& mat);

Parameter	Description
mat	Source matrix.

Matrix3() constexpr

Constructs a matrix from three column vectors.

Matrix3::Matrix3(const Vector3& vec0, const Vector3& vec1, const Vector3& vec2);

Parameter	Description
vec0
vec1	First column.
vec2	Second column.

Matrix3() constexpr

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

Matrix3::Matrix3(float n00, float n01, float n02, float n10, float n11, float n12, float n20, float n21, float n22);

Parameter	Description
n00	First row, first element.
n01	First row, second element.
n02	First row, third element.
n10	Second row, first element.
n11	Second row, second element.
n12	Second row, third element.
n20	Third row, first element.
n21	Third row, second element.
n22	Third row, third element.

Matrix3() constexpr

Constructs a diagonal matrix.

Matrix3::Matrix3(float value);

Parameter	Description
value	Value to place on the diagonal.

Functions

operator()() float &

Accesses an element by (row, column).

float& Matrix3::operator()(int row, int col);

Parameter	Description
row	Row index.
col	Column index.

operator()() const float

Accesses an element by (row, column).

const float Matrix3::operator()(int row, int col) const;

Parameter	Description
row	Row index.
col	Column index.

operator[]() Vector3&

Accesses a column vector.

Vector3& Matrix3::operator[](int col);

Parameter	Description
col	Column index.

operator[]() constVector3&

Accesses a column vector.

const Vector3& Matrix3::operator[](int col) const;

Parameter	Description
col	Column index.

Matrix3::Identity() Matrix3

Returns the identity matrix.

static constexpr Matrix3 Matrix3::Identity();

Determinant() float

Computes the determinant of a 3×3 matrix.

float Determinant(const Matrix3& mat);

Parameter	Description
mat	Input matrix.

Inverse() Matrix3

Computes the inverse of a 3×3 matrix.

Matrix3 Inverse(const Matrix3& mat);

Parameter	Description
mat	Input matrix.

operator*() Matrix3

Multiplies two 3×3 matrices.

Matrix3 operator* (const Matrix3& a, const Matrix3& b);

Parameter	Description
a	Left matrix.
b	Right matrix.

operator*() Vector3

Multiplies a matrix by a vector.

Vector3 operator* (const Matrix3& mat, const Vector3& vec);

Parameter	Description
mat	Input matrix.
vec	Input vector.

Transpose() Matrix3

Returns the transpose of a 3×3 matrix.

Matrix3 Transpose(const Matrix3& mat);

Parameter	Description
mat	Input matrix.