#include <ginger/matrix2.hpp>
template<typename T1, typename T2 = T1>
ginger::Matrix2 class

Matrix2.

Template parameters
T1 The type of the first column vector
T2 The type of the second column vector (defaults to T1)

A template class representing a 2x2 matrix with column vectors. The matrix is stored as two column vectors (x and y).

Constructors, destructors, conversion operators

Matrix2(T1 x, T2 y) constexpr noexcept
Construct a new Matrix2 object.

Public functions

auto x() const -> const T1 & -> auto constexpr
Get the first column vector.
auto y() const -> const T2 & -> auto constexpr
Get the second column vector.

Arithmetic operators

definie +, -, *, /, +=, -=, *=, /=, etc.

auto operator-() const -> Matrix2< T1, T2 > -> auto constexpr
Negate the matrix.
template<typename U1, typename U2>
auto operator+=(const Matrix2<U1, U2>& other) -> Matrix2< T1, T2 > & -> CONSTEXPR14 auto
Add another matrix to this one.
template<typename U1, typename U2>
auto operator-=(const Matrix2<U1, U2>& other) -> Matrix2< T1, T2 > & -> CONSTEXPR14 auto
Subtract another matrix from this one.
template<typename R>
auto operator*=(const R& alpha) -> Matrix2< T1, T2 > & -> CONSTEXPR14 auto
Multiply.
template<typename R>
auto operator/=(const R& alpha) -> Matrix2< T1, T2 > & -> CONSTEXPR14 auto
Divide matrix by a scalar.
template<typename U1, typename U2>
auto mdot(const Vector2<U1, U2>& other) const -> T1 -> auto constexpr
Multiply matrix with vector.
auto det() const -> double -> auto constexpr
Calculate the determinant.
template<typename U1, typename U2>
auto operator+(Matrix2<T1, T2> x, const Matrix2<U1, U2>& y) -> Matrix2< T1, T2 > -> auto constexpr
Add two matrices.
template<typename U1, typename U2>
auto operator-(Matrix2<T1, T2> x, const Matrix2<U1, U2>& y) -> Matrix2< T1, T2 > -> auto constexpr
Subtract two matrices.
template<typename R>
auto operator*(Matrix2<T1, T2> x, const R& alpha) -> Matrix2< T1, T2 > -> auto constexpr
Multiply matrix by a scalar.
template<typename R>
auto operator*(const R& alpha, Matrix2<T1, T2> x) -> Matrix2< T1, T2 > -> auto constexpr
Multiply a scalar by a matrix.
template<typename R>
auto operator/(Matrix2<T1, T2> x, const R& alpha) -> Matrix2< T1, T2 > -> auto constexpr
Divide matrix by a scalar.

Function documentation

template<typename T1, typename T2>
ginger::Matrix2<T1, T2>::Matrix2(T1 x, T2 y) constexpr noexcept

Construct a new Matrix2 object.

Parameters
x in The first column vector
y in The second column vector

template<typename T1, typename T2>
auto ginger::Matrix2<T1, T2>::x() const -> const T1 & constexpr

Get the first column vector.

Returns constexpr const T1& Reference to the first column vector

template<typename T1, typename T2>
auto ginger::Matrix2<T1, T2>::y() const -> const T2 & constexpr

Get the second column vector.

Returns constexpr const T2& Reference to the second column vector

template<typename T1, typename T2>
auto ginger::Matrix2<T1, T2>::operator-() const -> Matrix2< T1, T2 > constexpr

Negate the matrix.

Returns Matrix2<T1, T2> A new matrix with negated column vectors

template<typename T1, typename T2> template<typename U1, typename U2>
CONSTEXPR14 auto ginger::Matrix2<T1, T2>::operator+=(const Matrix2<U1, U2>& other) -> Matrix2< T1, T2 > &

Add another matrix to this one.

Template parameters
U1 Type of the first column of the other matrix
U2 Type of the second column of the other matrix
Parameters
other in The matrix to add
Returns Matrix2<T1, T2>& Reference to this matrix

template<typename T1, typename T2> template<typename U1, typename U2>
CONSTEXPR14 auto ginger::Matrix2<T1, T2>::operator-=(const Matrix2<U1, U2>& other) -> Matrix2< T1, T2 > &

Subtract another matrix from this one.

Template parameters
U1 Type of the first column of the other matrix
U2 Type of the second column of the other matrix
Parameters
other in The matrix to subtract
Returns Matrix2<T1, T2>& Reference to this matrix

template<typename T1, typename T2> template<typename R>
CONSTEXPR14 auto ginger::Matrix2<T1, T2>::operator*=(const R& alpha) -> Matrix2< T1, T2 > &

Multiply.

Template parameters
R
Parameters
alpha in
Returns Matrix2<T1, T2>&

template<typename T1, typename T2> template<typename R>
CONSTEXPR14 auto ginger::Matrix2<T1, T2>::operator/=(const R& alpha) -> Matrix2< T1, T2 > &

Divide matrix by a scalar.

Template parameters
R The scalar type
Parameters
alpha in The scalar value
Returns Matrix2<T1, T2>& Reference to this matrix

template<typename T1, typename T2> template<typename U1, typename U2>
auto ginger::Matrix2<T1, T2>::mdot(const Vector2<U1, U2>& other) const -> T1 constexpr

Multiply matrix with vector.

Template parameters
U1 Type of the first component of the vector
U2 Type of the second component of the vector
Parameters
other in The vector to multiply
Returns T1 The resulting vector (as column vector type)

Performs matrix-vector multiplication: this * other.

template<typename T1, typename T2>
auto ginger::Matrix2<T1, T2>::det() const -> double constexpr

Calculate the determinant.

Returns double The determinant value

Computes the determinant of the 2x2 matrix.

template<typename T1, typename T2> template<typename U1, typename U2>
auto ginger::Matrix2<T1, T2>::operator+(Matrix2<T1, T2> x, const Matrix2<U1, U2>& y) -> Matrix2< T1, T2 > constexpr

Add two matrices.

Template parameters
U1 Type of the first column of the first matrix
U2 Type of the second column of the first matrix
Parameters
x in The first matrix
y in The second matrix
Returns Matrix2<T1, T2> The result matrix

template<typename T1, typename T2> template<typename U1, typename U2>
auto ginger::Matrix2<T1, T2>::operator-(Matrix2<T1, T2> x, const Matrix2<U1, U2>& y) -> Matrix2< T1, T2 > constexpr

Subtract two matrices.

Template parameters
U1 Type of the first column of the first matrix
U2 Type of the second column of the first matrix
Parameters
x in The first matrix
y in The second matrix
Returns Matrix2<T1, T2> The result matrix

template<typename T1, typename T2> template<typename R>
auto ginger::Matrix2<T1, T2>::operator*(Matrix2<T1, T2> x, const R& alpha) -> Matrix2< T1, T2 > constexpr

Multiply matrix by a scalar.

Template parameters
R The scalar type
Parameters
x in The matrix
alpha in The scalar value
Returns Matrix2<T1, T2> The result matrix

template<typename T1, typename T2> template<typename R>
auto ginger::Matrix2<T1, T2>::operator*(const R& alpha, Matrix2<T1, T2> x) -> Matrix2< T1, T2 > constexpr

Multiply a scalar by a matrix.

Template parameters
R The scalar type
Parameters
alpha in The scalar value
x in The matrix
Returns Matrix2<T1, T2> The result matrix

template<typename T1, typename T2> template<typename R>
auto ginger::Matrix2<T1, T2>::operator/(Matrix2<T1, T2> x, const R& alpha) -> Matrix2< T1, T2 > constexpr

Divide matrix by a scalar.

Template parameters
R The scalar type
Parameters
x in The matrix
alpha in The scalar value
Returns Matrix2<T1, T2> The result matrix