Structurefwcd.swift-utils 4.6.2Utils
Matrix
Matrix.swift:5struct Matrix<T> where T : ExpressibleByIntegerLiteral, T : Hashable, T : Absolutable, T : Addable, T : Divisible, T : Multipliable, T : Negatable, T : Subtractablestruct Matrix<T> where T : ExpressibleByIntegerLiteral, T : Hashable, T : Absolutable, T : Addable, T : Divisible, T : Multipliable, T : Negatable, T : Subtractableimport Utilsprotocol ExpressibleByIntegerLiteralA type that can be initialized with an integer literal.
protocol Hashable : EquatableA type that can be hashed into a Hasher to produce an integer hash value.
protocol Absolutableprotocol Addableprotocol Divisibleprotocol Multipliableprotocol NegatableDescribes a (signed) type that has an additive inverse.
protocol Subtractableprotocol CustomStringConvertibleA type with a customized textual representation.
protocol EquatableA type that can be compared for value equality.
init(_ rows: [[T]]) init(columnVector values: [T]) init(repeating value: T, width: Int, height: Int) init(rowVector values: [T]) init(width: Int, height: Int, values: [T]) static func diagonal(_ diagonalValues: [T]) -> Matrix<T> static func identity(width: Int) -> Matrix<T> static func zero(width: Int, height: Int) -> Matrix<T> var asArray: [[T]] { get }var asNDArray: NDArray<T> { get }var columnVectors: [Vector<T>] { get }var columns: [[T]] { get }var description: String { get }var determinant: T? { get }Computes the determinant using Gaussian elimination in O(n^3).
var first: T? { get }The element in the upper left corner of the matrix.
var formattedDescription: String { get }let height: Intvar inverse: Matrix<T>? { get }Finds the inverse of this matrix.
var isSquare: Bool { get }var laplaceExpansionDeterminant: T? { get }Computes the determinant in O(n!).
var last: T? { get }The element in the lower right corner of the matrix.
var mainDiagonal: [T]? { get }var normalizedRowEcholonForm: Matrix<T>? { get }The row echolon form where all leading coefficients are 1.
var rowEcholonForm: Matrix<T>? { get }Computes a triangular matrix from this matrix through Gauss elimination.
var rowVectors: [Vector<T>] { get }var rows: [[T]] { get }var transpose: Matrix<T> { get }let width: Intsubscript(x: Int, y: Int) -> T { get set } subscript(column x: Int) -> Column { get } subscript(row y: Int) -> Row { get } static func * (lhs: Matrix<T>, rhs: Matrix<T>) -> Matrix<T> static func * (lhs: Matrix<T>, rhs: T) -> Matrix<T> static func * (lhs: T, rhs: Matrix<T>) -> Matrix<T> static func *= (lhs: inout Matrix<T>, rhs: Matrix<T>) static func *= (lhs: inout Matrix<T>, rhs: T) static func + (lhs: Matrix<T>, rhs: Matrix<T>) -> Matrix<T> static func += (lhs: inout Matrix<T>, rhs: Matrix<T>) static func - (lhs: Matrix<T>, rhs: Matrix<T>) -> Matrix<T> static func -= (lhs: inout Matrix<T>, rhs: Matrix<T>) static func / (lhs: Matrix<T>, rhs: T) -> Matrix<T> static func /= (lhs: inout Matrix<T>, rhs: T) mutating func add(row y1: Int, toRow y2: Int, scaledBy factor: T) func leadingCoefficient(_ y: Int) -> T func map<U>(_ f: (T) throws -> U) rethrows -> Matrix<U> where U : ExpressibleByIntegerLiteral, U : Hashable, U : Absolutable, U : Addable, U : Divisible, U : Multipliable, U : Negatable, U : Subtractable mutating func mapInPlace(_ f: (T) throws -> T) rethrows func minor(_ y: Int, _ x: Int) -> Matrix<T> func reshaped(width: Int, height: Int) -> Matrix<T> mutating func scale(row y: Int, by factor: T) func with(_ value: T, atY y: Int, x: Int) -> Matrix<T> func zip<U>(_ rhs: Matrix<T>, with f: (T, T) throws -> U) rethrows -> Matrix<U> where U : ExpressibleByIntegerLiteral, U : Hashable, U : Absolutable, U : Addable, U : Divisible, U : Multipliable, U : Negatable, U : Subtractable mutating func zipInPlace(_ rhs: Matrix<T>, with f: (T, T) throws -> T) rethrows struct Columnstruct Rowstatic func != (lhs: Self, rhs: Self) -> Bool Returns a Boolean value indicating whether two values are not equal.
protocol Sendable