Vector2

Represents a 2D vector with floating-point components.

Vector2 stores an (x, y) pair and is used for positions, directions, UV coordinates, and general 2D math. It provides basic arithmetic, and utility helpers.

Construction

Constructors

Vector2() constexpr

Constructs a vector with both components set to the same value.

Vector2::Vector2(float value);

Parameter	Description
value	Value to assign to both components.

Vector2() constexpr

Constructs a vector from individual components.

Vector2::Vector2(float x, float y);

Parameter	Description
x	X component.
y	Y component.

Properties

x float

X component.

float x {};

y float

Y component.

float y {};

Functions

Length() float

Returns the vector length.

float Vector2::Length() const;

LengthSquared() float

Returns the squared vector length.

Useful when comparing lengths without paying the cost of a square root.

float Vector2::LengthSquared() const;

Max() Vector2&

Applies a component-wise maximum with another vector.

Vector2& Vector2::Max(const Vector2& v);

Parameter	Description
v	Vector to compare against.

Min() Vector2&

Applies a component-wise minimum with another vector.

Vector2& Vector2::Min(const Vector2& v);

Parameter	Description
v	Vector to compare against.

Normalize() Vector2&

Normalizes the vector in-place.

If the length is zero, the vector is left unchanged.

Vector2& Vector2::Normalize();

operator*=() Vector2&

Multiplies the vector component-wise by another vector in-place.

Vector2& Vector2::operator* =(const Vector2& v);

Parameter	Description
v	Vector to multiply.

operator*=() Vector2&

Multiplies the vector by a scalar in-place.

Vector2& Vector2::operator* =(float n);

Parameter	Description
n	Scalar value.

operator+=() Vector2&

Adds another vector in-place.

Vector2& Vector2::operator+=(const Vector2& v);

Parameter	Description
v	Vector to add.

operator-=() Vector2&

Subtracts another vector in-place.

Vector2& Vector2::operator-=(const Vector2& v);

Parameter	Description
v	Vector to subtract.

operator[]() float&

Accesses a component by index.

float& Vector2::operator[](int i);

Parameter	Description
i	Index: 0 → x, 1 → y.

operator[]() float

Accesses a component by index.

float Vector2::operator[](int i) const;

Parameter	Description
i	Index: 0 → x, 1 → y.

Vector2::UnitX() Vector2

Returns the unit vector along the X axis.

static constexpr Vector2 Vector2::UnitX();

Vector2::UnitY() Vector2

Returns the unit vector along the Y axis.

static constexpr Vector2 Vector2::UnitY();

Vector2::Zero() Vector2

Returns the zero vector.

static constexpr Vector2 Vector2::Zero();

Dot() float

Computes the dot product of two 2D vectors.

Computes the scalar product (), which measures how aligned two vectors are.

float Dot(const Vector2& a, const Vector2& b);

Parameter	Description
a	First vector.
b	Second vector.

Lerp() Vector2

Linearly interpolates between two vectors.

Vector2 Lerp(const Vector2& v1, const Vector2& v2, float f);

Parameter	Description
v1	Start vector.
v2	End vector.
f	Interpolation factor in .

Normalize() Vector2

Returns a normalized copy of a vector.

If the input has zero length, the zero vector is returned.

Vector2 Normalize(const Vector2& v);

Parameter	Description
v	Input vector.

operator*() Vector2

Multiplies two vectors component-wise.

Vector2 operator* (const Vector2& a, const Vector2& b);

Parameter	Description
a	First vector.
b	Second vector.

operator*() Vector2

Multiplies a vector by a scalar.

Vector2 operator* (const Vector2& v, float n);

Parameter	Description
v	Input vector.
n	Scalar value.

operator*() Vector2

Multiplies a scalar by a vector.

Vector2 operator* (float n, const Vector2& v);

Parameter	Description
n	Scalar value.
v	Input vector.

operator+() Vector2

Adds two 2D vectors.

Vector2 operator+(const Vector2& a, const Vector2& b);

Parameter	Description
a	First vector.
b	Second vector.

operator-() Vector2

Subtracts one 2D vector from another.

Vector2 operator-(const Vector2& a, const Vector2& b);

Parameter	Description
a	First vector.
b	Second vector.

operator/() Vector2

Divides two vectors component-wise.

Vector2 operator/(const Vector2& a, const Vector2& b);

Parameter	Description
a	First vector.
b	Second vector.

operator/() Vector2

Divides a vector by a scalar.

Vector2 operator/(const Vector2& v, float n);

Parameter	Description
v	Input vector.
n	Scalar value.