Vector2

public struct Vector2<Scalar> : Vector2Type
extension Vector2: Equatable where Scalar: Equatable
extension Vector2: Hashable where Scalar: Hashable
extension Vector2: Encodable where Scalar: Encodable
extension Vector2: Decodable where Scalar: Decodable
extension Vector2: VectorComparable where Scalar: Comparable
extension Vector2: AdditiveArithmetic where Scalar: AdditiveArithmetic
extension Vector2: VectorAdditive where Scalar: AdditiveArithmetic
extension Vector2: Vector2Additive where Scalar: AdditiveArithmetic
extension Vector2: VectorMultiplicative where Scalar: Numeric
extension Vector2: Vector2Multiplicative where Scalar: Numeric
extension Vector2: VectorSigned where Scalar: SignedNumeric & Comparable
extension Vector2: Vector2Signed where Scalar: SignedNumeric & Comparable
extension Vector2: VectorDivisible where Scalar: DivisibleArithmetic
extension Vector2: VectorFloatingPoint where Scalar: DivisibleArithmetic & FloatingPoint
extension Vector2: SignedDistanceMeasurableType where Scalar: DivisibleArithmetic & FloatingPoint
extension Vector2: Vector2FloatingPoint where Scalar: DivisibleArithmetic & FloatingPoint
extension Vector2: VectorReal where Scalar: DivisibleArithmetic & Real
extension Vector2: Vector2Real where Scalar: DivisibleArithmetic & Real

A two-component vector type

  • x

    X coordinate of this vector

    Declaration

    Swift

    public var x: Scalar
  • y

    Y coordinate of this vector

    Declaration

    Swift

    public var y: Scalar

  • Textual representation of this Vector2

    Declaration

    Swift

    @inlinable
public var description: String { get }

  • Declaration

    Swift

    public init(x: Scalar, y: Scalar)

  • Declaration

    Swift

    public init(repeating scalar: Scalar)

  • Initializes this Vector2 with the values from a given tuple.

    Declaration

    Swift

    public init(_ tuple: (Scalar, Scalar))

Available where Scalar: Comparable

  • Returns the pointwise minimal Vector where each component is the minimal scalar value at each index for both vectors.

    Declaration

    Swift

    public static func pointwiseMin(_ lhs: `Self`, _ rhs: `Self`) -> Vector2<Scalar>

  • Returns the pointwise maximal Vector where each component is the maximal scalar value at each index for both vectors.

    Declaration

    Swift

    public static func pointwiseMax(_ lhs: `Self`, _ rhs: `Self`) -> Vector2<Scalar>

  • Compares two vectors and returns true if all components of lhs are greater than rhs.

    Performs lhs.x > rhs.x && lhs.y > rhs.y

    Declaration

    Swift

    public static func > (lhs: `Self`, rhs: `Self`) -> Bool

  • Compares two vectors and returns true if all components of lhs are greater than or equal to rhs.

    Performs lhs.x >= rhs.x && lhs.y >= rhs.y

    Declaration

    Swift

    public static func >= (lhs: `Self`, rhs: `Self`) -> Bool

  • Compares two vectors and returns true if all components of lhs are less than rhs.

    Performs lhs.x < rhs.x && lhs.y < rhs.y

    Declaration

    Swift

    public static func < (lhs: `Self`, rhs: `Self`) -> Bool

  • Compares two vectors and returns true if all components of lhs are less than or equal to rhs.

    Performs lhs.x <= rhs.x && lhs.y <= rhs.y

    Declaration

    Swift

    public static func <= (lhs: `Self`, rhs: `Self`) -> Bool

Available where Scalar: AdditiveArithmetic

  • A zero-value Vector2 value where each component corresponds to its representation of 0.

    Declaration

    Swift

    public static var zero: `Self` { get }

  • Declaration

    Swift

    @inlinable
public var nonZeroScalarCount: Int { get }

  • Declaration

    Swift

    public static func + (lhs: `Self`, rhs: `Self`) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func - (lhs: `Self`, rhs: `Self`) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func + (lhs: `Self`, rhs: Scalar) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func - (lhs: `Self`, rhs: Scalar) -> Vector2<Scalar>

Available where Scalar: Numeric

  • one

    A unit-value Vector2Type value where each component corresponds to its representation of 1.

    Declaration

    Swift

    public static var one: `Self` { get }

  • Calculates the dot product between this and another provided Vector2Type

    Declaration

    Swift

    public func dot(_ other: `Self`) -> Scalar

  • Declaration

    Swift

    public static func * (lhs: `Self`, rhs: `Self`) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func * (lhs: `Self`, rhs: Scalar) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func * (lhs: Scalar, rhs: `Self`) -> Vector2<Scalar>

Available where Scalar: SignedNumeric & Comparable

  • Returns a Vector2 where each component is the absolute value of the components of this Vector2.

    Declaration

    Swift

    public var absolute: `Self` { get }

  • Declaration

    Swift

    public var sign: `Self` { get }

  • Negates this Vector

    Declaration

    Swift

    public prefix static func - (lhs: `Self`) -> Vector2<Scalar>

  • Makes this Vector perpendicular to its current position relative to the origin. This alters the vector instance.

    Declaration

    Swift

    public mutating func formPerpendicular()

  • Returns a Vector perpendicular to this Vector relative to the origin.

    Declaration

    Swift

    public func perpendicular() -> Vector2<Scalar>

  • Returns a vector that represents this vector’s point, rotated 90º counter clockwise (in Cartesian space with Y growing up) relative to the origin.

    Declaration

    Swift

    public func leftRotated() -> Vector2<Scalar>

  • Rotates this vector 90º counter clockwise (in Cartesian space with Y growing up) relative to the origin. This alters the vector instance.

    Declaration

    Swift

    public mutating func formLeftRotated()

  • Returns a vector that represents this vector’s point, rotated 90º clockwise clockwise (in Cartesian space with Y growing up) relative to the origin.

    Declaration

    Swift

    public func rightRotated() -> Vector2<Scalar>

  • Rotates this vector 90º clockwise relative (in Cartesian space with Y growing up) to the origin. This alters the vector instance.

    Declaration

    Swift

    public mutating func formRightRotated()

Available where Scalar: DivisibleArithmetic

  • Declaration

    Swift

    public static func / (lhs: `Self`, rhs: `Self`) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func / (lhs: `Self`, rhs: Scalar) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func / (lhs: Scalar, rhs: `Self`) -> Vector2<Scalar>

Available where Scalar: DivisibleArithmetic & FloatingPoint

  • Returns the result of adding the product of the two given vectors to this vector, computed without intermediate rounding.

    This method is equivalent to calling C fma function on each component.

    Declaration

    Swift

    public func addingProduct(_ a: `Self`, _ b: `Self`) -> Vector2<Scalar>

    Parameters

    lhs

    One of the vectors to multiply before adding to this vector.
    rhs

    The other vector to multiply.

    Return Value

    The product of lhs and rhs, added to this vector.

  • Returns the result of adding the product of the given scalar and vector to this vector, computed without intermediate rounding.

    This method is equivalent to calling C fma function on each component.

    Declaration

    Swift

    public func addingProduct(_ a: Scalar, _ b: `Self`) -> Vector2<Scalar>

    Parameters

    lhs

    A scalar to multiply before adding to this vector.
    rhs

    A vector to multiply.

    Return Value

    The product of lhs and rhs, added to this vector.

  • Returns the result of adding the product of the given vector and scalar to this vector, computed without intermediate rounding.

    This method is equivalent to calling C fma function on each component.

    Declaration

    Swift

    public func addingProduct(_ a: `Self`, _ b: Scalar) -> Vector2<Scalar>

    Parameters

    lhs

    A vector to multiply before adding to this vector.
    rhs

    A scalar to multiply.

    Return Value

    The product of lhs and rhs, added to this vector.

  • Rounds the components of this Vector2Type using a given FloatingPointRoundingRule.

    Declaration

    Swift

    public func rounded(_ rule: FloatingPointRoundingRule) -> Vector2<Scalar>

  • Rounds the components of this Vector2Type using a given FloatingPointRoundingRule.toNearestOrAwayFromZero.

    Equivalent to calling C’s round() function on each component.

    Declaration

    Swift

    public func rounded() -> Vector2<Scalar>

  • Rounds the components of this Vector2Type using a given FloatingPointRoundingRule.up.

    Equivalent to calling C’s ceil() function on each component.

    Declaration

    Swift

    public func ceil() -> Vector2<Scalar>

  • Rounds the components of this Vector2Type using a given FloatingPointRoundingRule.down.

    Equivalent to calling C’s floor() function on each component.

    Declaration

    Swift

    public func floor() -> Vector2<Scalar>

  • Declaration

    Swift

    public static func % (lhs: `Self`, rhs: `Self`) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func % (lhs: `Self`, rhs: Scalar) -> Vector2<Scalar>

  • Declaration

    Swift

    public func signedDistance(to other: `Self`) -> Scalar

  • Declaration

    Swift

    public init<V>(_ vec: V) where V : Vector2Type, V.Scalar : BinaryInteger

Available where Scalar: DivisibleArithmetic & Real

  • Declaration

    Swift

    public static func pow(_ vec: `Self`, _ exponent: Int) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func pow(_ vec: `Self`, _ exponent: `Self`) -> Vector2<Scalar>

  • Returns the angle in radians of the line formed by tracing from the origin (0, 0) to this Vector2.

    Declaration

    Swift

    public var angle: Scalar { get }

  • Returns a rotated version of this vector, rotated around the origin by a given angle in radians

    Declaration

    Swift

    public func rotated(by angle: Angle<Scalar>) -> Vector2<Scalar>

  • Rotates this vector around the origin by a given angle in radians

    Declaration

    Swift

    public mutating func rotate(by angle: Angle<Scalar>)

  • Rotates this vector around a given pivot by a given angle in radians

    Declaration

    Swift

    @inlinable
public func rotated(by angle: Angle<Scalar>, around pivot: `Self`) -> Vector2<Scalar>

  • Rotates a given vector around the origin by an angle in radians

    Declaration

    Swift

    @inlinable
public static func rotate(_ vec: `Self`, by angle: Angle<Scalar>) -> Vector2<Scalar>

  • Creates a matrix that when multiplied with a Vector object applies the given set of transformations.

    If all default values are set, an identity matrix is created, which does not alter a Vector’s coordinates once applied.

    The order of operations are: scaling -> rotation -> translation

    Declaration

    Swift

    @available(*, deprecated, message: "Use matrix(scale: Self, rotate angle: Angle<Scalar>, translate: Self﹚ instead.")
@inlinable
public static func matrix(
    scale: Self = .one,
    rotate angle: Scalar = 0,
    translate: Self = Self(x: 0, y: 0)
) -> Matrix3x2<Scalar>

  • Declaration

    Swift

    @inlinable
public static func matrix(
    scale: Self = .one,
    rotate angle: Angle<Scalar>,
    translate: Self = Self(x: 0, y: 0)
) -> Matrix3x2<Scalar>

  • Declaration

    Swift

    public static func * (lhs: `Self`, rhs: Matrix3x2<Scalar>) -> Vector2<Scalar>

  • Declaration

    Swift

    public static func *= (lhs: inout `Self`, rhs: Matrix3x2<Scalar>)