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Multiplication.swift
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//
// Multiplication.swift
// Plinth
//
// Created by Daniel Clelland on 28/04/22.
//
import Foundation
import Accelerate
import Numerics
infix operator <*>: MultiplicationPrecedence
infix operator <*>=: AssignmentPrecedence
extension Matrix where Scalar == Float {
@inlinable public static func <*> (left: Matrix, right: Matrix) -> Matrix {
return left.multiplied(by: right)
}
}
extension Matrix where Scalar == Float {
@inlinable public static func <*>= (left: inout Matrix, right: Matrix) {
left = left <*> right
}
}
extension Matrix where Scalar == Float {
public func multiplied(by multiplicand: Matrix) -> Matrix {
precondition(shape.columns == multiplicand.shape.rows)
var output: Matrix = .zeros(shape: .init(rows: shape.rows, columns: multiplicand.shape.columns))
vDSP_mmul(elements, 1, multiplicand.elements, 1, &output.elements, 1, vDSP_Length(shape.rows), vDSP_Length(multiplicand.shape.columns), vDSP_Length(shape.columns))
return output
}
}
extension ComplexMatrix where Scalar == Float {
@inlinable public static func <*> (left: Matrix, right: ComplexMatrix) -> ComplexMatrix {
return ComplexMatrix(real: left).multiplied(by: right)
}
@inlinable public static func <*> (left: ComplexMatrix, right: Matrix) -> ComplexMatrix {
return left.multiplied(by: ComplexMatrix(real: right))
}
@inlinable public static func <*> (left: ComplexMatrix, right: ComplexMatrix) -> ComplexMatrix {
return left.multiplied(by: right)
}
}
extension ComplexMatrix where Scalar == Float {
@inlinable public static func <*>= (left: inout ComplexMatrix, right: Matrix) {
left = left <*> ComplexMatrix(real: right)
}
@inlinable public static func <*>= (left: inout ComplexMatrix, right: ComplexMatrix) {
left = left <*> right
}
}
extension ComplexMatrix where Scalar == Float {
public func multiplied(by multiplicand: ComplexMatrix) -> ComplexMatrix {
precondition(shape.columns == multiplicand.shape.rows)
var left = self
var right = multiplicand
var output: ComplexMatrix = .zeros(shape: .init(rows: shape.rows, columns: multiplicand.shape.columns))
left.withUnsafeMutableSplitComplexVector { leftVector in
right.withUnsafeMutableSplitComplexVector { rightVector in
output.withUnsafeMutableSplitComplexVector { outputVector in
vDSP_zmmul(&leftVector, 1, &rightVector, 1, &outputVector, 1, vDSP_Length(shape.rows), vDSP_Length(multiplicand.shape.columns), vDSP_Length(shape.columns))
}
}
}
return output
}
}
extension Matrix where Scalar == Double {
@inlinable public static func <*> (left: Matrix, right: Matrix) -> Matrix {
return left.multiplied(by: right)
}
}
extension Matrix where Scalar == Double {
@inlinable public static func <*>= (left: inout Matrix, right: Matrix) {
left = left <*> right
}
}
extension Matrix where Scalar == Double {
public func multiplied(by multiplicand: Matrix) -> Matrix {
precondition(shape.columns == multiplicand.shape.rows)
var output: Matrix = .zeros(shape: .init(rows: shape.rows, columns: multiplicand.shape.columns))
vDSP_mmulD(elements, 1, multiplicand.elements, 1, &output.elements, 1, vDSP_Length(shape.rows), vDSP_Length(multiplicand.shape.columns), vDSP_Length(shape.columns))
return output
}
}
extension ComplexMatrix where Scalar == Double {
@inlinable public static func <*> (left: Matrix, right: ComplexMatrix) -> ComplexMatrix {
return ComplexMatrix(real: left).multiplied(by: right)
}
@inlinable public static func <*> (left: ComplexMatrix, right: Matrix) -> ComplexMatrix {
return left.multiplied(by: ComplexMatrix(real: right))
}
@inlinable public static func <*> (left: ComplexMatrix, right: ComplexMatrix) -> ComplexMatrix {
return left.multiplied(by: right)
}
}
extension ComplexMatrix where Scalar == Double {
@inlinable public static func <*>= (left: inout ComplexMatrix, right: Matrix) {
left = left <*> ComplexMatrix(real: right)
}
@inlinable public static func <*>= (left: inout ComplexMatrix, right: ComplexMatrix) {
left = left <*> right
}
}
extension ComplexMatrix where Scalar == Double {
public func multiplied(by multiplicand: ComplexMatrix) -> ComplexMatrix {
precondition(shape.columns == multiplicand.shape.rows)
var left = self
var right = multiplicand
var output: ComplexMatrix = .zeros(shape: .init(rows: shape.rows, columns: multiplicand.shape.columns))
left.withUnsafeMutableSplitComplexVector { leftVector in
right.withUnsafeMutableSplitComplexVector { rightVector in
output.withUnsafeMutableSplitComplexVector { outputVector in
vDSP_zmmulD(&leftVector, 1, &rightVector, 1, &outputVector, 1, vDSP_Length(shape.rows), vDSP_Length(multiplicand.shape.columns), vDSP_Length(shape.columns))
}
}
}
return output
}
}