template<class T>
Magnum::Math::Vector3 class

Three-component vector.

Template parameters
T	Data type

Reference

See Operations with matrices and vectors for brief introduction.

Base classes

template<std::size_t size, class T> class Vector: Vector.

Derived classes

template<class T> class Color3: Color in linear RGB color space.

Public static functions

static auto xAxis(T length = T(1)) -> Vector3<T> constexpr: Vector in direction of X axis (right)
static auto yAxis(T length = T(1)) -> Vector3<T> constexpr: Vector in direction of Y axis (up)
static auto zAxis(T length = T(1)) -> Vector3<T> constexpr: Vector in direction of Z axis (backward)
static auto xScale(T scale) -> Vector3<T> constexpr: Scaling vector in direction of X axis (width)
static auto yScale(T scale) -> Vector3<T> constexpr: Scaling vector in direction of Y axis (height)
static auto zScale(T scale) -> Vector3<T> constexpr: Scaling vector in direction of Z axis (depth)

Constructors, destructors, conversion operators

Vector3(ZeroInitT = ZeroInit) constexpr noexcept: Default constructor.
Vector3(NoInitT) explicit noexcept: Construct vector without initializing the contents.
Vector3(T value) explicit constexpr noexcept: Construct vector with one value for all components.
Vector3(T x, T y, T z) constexpr noexcept: Constructor.
Vector3(const Vector2<T>& xy, T z) constexpr noexcept: Constructor.
template<class U> Vector3(const Vector<3, U>& other) explicit constexpr noexcept: Construct vector from another of different type.
template<class U, class V = decltype(Implementation::VectorConverter<3, T, U>::from(std::declval<U>()))> Vector3(const U& other) explicit constexpr: Construct vector from external representation.
Vector3(const Vector<3, T>& other) constexpr noexcept: Copy constructor.

Public functions

auto x() -> T&: X component.
auto x() const -> T constexpr
auto y() -> T&: Y component.
auto y() const -> T constexpr
auto z() -> T&: Z component.
auto z() const -> T constexpr
auto r() -> T&: R component.
auto r() const -> T constexpr
auto g() -> T&: G component.
auto g() const -> T constexpr
auto b() -> T&: B component.
auto b() const -> T constexpr
auto xy() -> Vector2<T>&: XY part of the vector.
auto xy() const -> const Vector2<T> constexpr

Function documentation

template<class T>
static Vector3<T> Magnum::Math::Vector3<T>::xAxis(T length = T(1)) constexpr

Vector in direction of X axis (right)

Usable for translation or rotation along given axis, for example:

Matrix4::translation(Vector3::xAxis(5.0f)); // same as Matrix4::translation({5.0f, 0.0f, 0.0f});
Matrix4::rotation(30.0_degf, Vector3::xAxis()); // same as Matrix::rotation(30.0_degf, {1.0f, 0.0f, 0.0f});

template<class T>
static Vector3<T> Magnum::Math::Vector3<T>::yAxis(T length = T(1)) constexpr

Vector in direction of Y axis (up)

See xAxis() for more information.

template<class T>
static Vector3<T> Magnum::Math::Vector3<T>::zAxis(T length = T(1)) constexpr

Vector in direction of Z axis (backward)

See xAxis() for more information.

template<class T>
static Vector3<T> Magnum::Math::Vector3<T>::xScale(T scale) constexpr

Scaling vector in direction of X axis (width)

Usable for scaling along given direction, for example:

Matrix4::scaling(Vector3::xScale(-2.0f)); // same as Matrix4::scaling({-2.0f, 1.0f, 1.0f});

template<class T>
static Vector3<T> Magnum::Math::Vector3<T>::yScale(T scale) constexpr

Scaling vector in direction of Y axis (height)

See xScale() for more information.

template<class T>
static Vector3<T> Magnum::Math::Vector3<T>::zScale(T scale) constexpr

Scaling vector in direction of Z axis (depth)

See xScale() for more information.

template<class T>
Magnum::Math::Vector3<T>::Vector3(ZeroInitT = ZeroInit) constexpr noexcept

Default constructor.

template<class T>
Magnum::Math::Vector3<T>::Vector3(T x, T y, T z) constexpr noexcept

Constructor.

template<class T>
Magnum::Math::Vector3<T>::Vector3(const Vector2<T>& xy, T z) constexpr noexcept

Constructor.

template<class T> template<class U>
Magnum::Math::Vector3<T>::Vector3(const Vector<3, U>& other) explicit constexpr noexcept

Construct vector from another of different type.

Performs only default casting on the values, no rounding or anything else. Example usage:

Vector<4, Float> floatingPoint(1.3f, 2.7f, -15.0f, 7.0f);
Vector<4, Byte> integral(floatingPoint);
// integral == {1, 2, -15, 7}