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31 changes: 30 additions & 1 deletion stdlib/public/Differentiation/DifferentiationSupport.swift
Original file line number Diff line number Diff line change
Expand Up @@ -1262,7 +1262,36 @@ public extension Array where Element: Differentiable {
}

@usableFromInline
@derivative(of: differentiableReduce)
@derivative(of: differentiableReduce, wrt: (self, initialResult))
func _jvpDifferentiableReduce<Result: Differentiable>(
_ initialResult: Result,
_ nextPartialResult: @differentiable (Result, Element) -> Result
) -> (value: Result,
differential: (Array.TangentVector, Result.TangentVector)
-> Result.TangentVector) {
var differentials:
[(Result.TangentVector, Element.TangentVector) -> Result.TangentVector]
= []
let count = self.count
differentials.reserveCapacity(count)
var result = initialResult
for element in self {
let (y, df) =
Swift.valueWithDifferential(at: result, element, in: nextPartialResult)
result = y
differentials.append(df)
}
return (value: result, differential: { dSelf, dInitial in
var dResult = dInitial
for (dElement, df) in zip(dSelf.base, differentials) {
dResult = df(dResult, dElement)
}
return dResult
})
}

@usableFromInline
@derivative(of: differentiableReduce, wrt: (self, initialResult))
internal func _vjpDifferentiableReduce<Result: Differentiable>(
_ initialResult: Result,
_ nextPartialResult: @differentiable (Result, Element) -> Result
Expand Down