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// RUN: %target-run-simple-swift
// REQUIRES: executable_test
import StdlibUnittest
import DifferentiationUnittest
var DerivativeRegistrationTests = TestSuite("DerivativeRegistration")
@_semantics("autodiff.opaque")
func unary(x: Tracked<Float>) -> Tracked<Float> {
return x
}
@derivative(of: unary)
func _vjpUnary(x: Tracked<Float>) -> (value: Tracked<Float>, pullback: (Tracked<Float>) -> Tracked<Float>) {
return (value: x, pullback: { v in v })
}
DerivativeRegistrationTests.testWithLeakChecking("UnaryFreeFunction") {
expectEqual(1, gradient(at: 3.0, of: unary))
}
@_semantics("autodiff.opaque")
func multiply(_ x: Tracked<Float>, _ y: Tracked<Float>) -> Tracked<Float> {
return x * y
}
@derivative(of: multiply)
func _vjpMultiply(_ x: Tracked<Float>, _ y: Tracked<Float>)
-> (value: Tracked<Float>, pullback: (Tracked<Float>) -> (Tracked<Float>, Tracked<Float>)) {
return (x * y, { v in (v * y, v * x) })
}
DerivativeRegistrationTests.testWithLeakChecking("BinaryFreeFunction") {
expectEqual((3.0, 2.0), gradient(at: 2.0, 3.0, of: { x, y in multiply(x, y) }))
}
struct Wrapper : Differentiable {
var float: Tracked<Float>
}
extension Wrapper {
@_semantics("autodiff.opaque")
init(_ x: Tracked<Float>, _ y: Tracked<Float>) {
self.float = x * y
}
@derivative(of: init(_:_:))
static func _vjpInit(_ x: Tracked<Float>, _ y: Tracked<Float>)
-> (value: Self, pullback: (TangentVector) -> (Tracked<Float>, Tracked<Float>)) {
return (.init(x, y), { v in (v.float * y, v.float * x) })
}
}
DerivativeRegistrationTests.testWithLeakChecking("Initializer") {
let v = Wrapper.TangentVector(float: 1)
let (𝛁x, 𝛁y) = pullback(at: 3, 4, of: { x, y in Wrapper(x, y) })(v)
expectEqual(4, 𝛁x)
expectEqual(3, 𝛁y)
}
extension Wrapper {
@_semantics("autodiff.opaque")
static func multiply(_ x: Tracked<Float>, _ y: Tracked<Float>) -> Tracked<Float> {
return x * y
}
@derivative(of: multiply)
static func _vjpMultiply(_ x: Tracked<Float>, _ y: Tracked<Float>)
-> (value: Tracked<Float>, pullback: (Tracked<Float>) -> (Tracked<Float>, Tracked<Float>)) {
return (x * y, { v in (v * y, v * x) })
}
}
DerivativeRegistrationTests.testWithLeakChecking("StaticMethod") {
expectEqual((3.0, 2.0), gradient(at: 2.0, 3.0, of: { x, y in Wrapper.multiply(x, y) }))
}
extension Wrapper {
@_semantics("autodiff.opaque")
func multiply(_ x: Tracked<Float>) -> Tracked<Float> {
return float * x
}
@derivative(of: multiply)
func _vjpMultiply(_ x: Tracked<Float>)
-> (value: Tracked<Float>, pullback: (Tracked<Float>) -> (Wrapper.TangentVector, Tracked<Float>)) {
return (float * x, { v in
(TangentVector(float: v * x), v * self.float)
})
}
}
DerivativeRegistrationTests.testWithLeakChecking("InstanceMethod") {
let x: Tracked<Float> = 2
let wrapper = Wrapper(float: 3)
let (𝛁wrapper, 𝛁x) = gradient(at: wrapper, x) { wrapper, x in wrapper.multiply(x) }
expectEqual(Wrapper.TangentVector(float: 2), 𝛁wrapper)
expectEqual(3, 𝛁x)
}
extension Wrapper {
subscript(_ x: Tracked<Float>) -> Tracked<Float> {
@differentiable(reverse)
@_semantics("autodiff.opaque")
get { float * x }
@differentiable(reverse)
set {}
}
@derivative(of: subscript(_:))
func _vjpSubscriptGetter(_ x: Tracked<Float>)
-> (value: Tracked<Float>, pullback: (Tracked<Float>) -> (Wrapper.TangentVector, Tracked<Float>)) {
return (self[x], { v in
(TangentVector(float: v * x), v * self.float)
})
}
}
DerivativeRegistrationTests.testWithLeakChecking("SubscriptGetter") {
let x: Tracked<Float> = 2
let wrapper = Wrapper(float: 3)
let (𝛁wrapper, 𝛁x) = gradient(at: wrapper, x) { wrapper, x in wrapper[x] }
expectEqual(Wrapper.TangentVector(float: 2), 𝛁wrapper)
expectEqual(3, 𝛁x)
}
extension Wrapper {
subscript() -> Tracked<Float> {
@differentiable(reverse)
get { float }
@differentiable(reverse)
set { float = newValue }
}
@derivative(of: subscript.set)
mutating func _vjpSubscriptSetter(_ newValue: Tracked<Float>)
-> (value: (), pullback: (inout TangentVector) -> Tracked<Float>) {
return ((), { dself in
// Note: pullback is hardcoded to set `dself.float = 100` and to return `dnewValue = 200`.
dself.float = 100
return 200
})
}
}
DerivativeRegistrationTests.testWithLeakChecking("SubscriptSetter") {
// A function wrapper around `Wrapper.subscript().set`.
func testSubscriptSet(_ wrapper: Wrapper, _ newValue: Tracked<Float>) -> Wrapper {
var result = wrapper
result[] = newValue
return result
}
let x: Tracked<Float> = 2
let wrapper = Wrapper(float: 3)
let (𝛁wrapper, 𝛁x) = pullback(at: wrapper, x, of: testSubscriptSet)(.init(float: 10))
expectEqual(Wrapper.TangentVector(float: 100), 𝛁wrapper)
expectEqual(200, 𝛁x)
}
extension Wrapper {
var computedProperty: Tracked<Float> {
@_semantics("autodiff.opaque")
get { float * float }
set { float = newValue }
}
@derivative(of: computedProperty)
func _vjpComputedPropertyGetter()
-> (value: Tracked<Float>, pullback: (Tracked<Float>) -> Wrapper.TangentVector) {
return (computedProperty, { [f = self.float] v in
TangentVector(float: v * (f + f))
})
}
@derivative(of: computedProperty.set)
mutating func _vjpComputedPropertySetter(_ newValue: Tracked<Float>)
-> (value: (), pullback: (inout TangentVector) -> Tracked<Float>) {
return ((), { dself in
// Note: pullback is hardcoded to set `dself.float = 100` and to return `dnewValue = 200`.
dself.float = 100
return 200
})
}
}
DerivativeRegistrationTests.testWithLeakChecking("ComputedPropertyGetter") {
let wrapper = Wrapper(float: 3)
let 𝛁wrapper = gradient(at: wrapper) { wrapper in wrapper.computedProperty }
expectEqual(Wrapper.TangentVector(float: 6), 𝛁wrapper)
}
DerivativeRegistrationTests.testWithLeakChecking("ComputedPropertySetter") {
// A function wrapper around `Wrapper.computedProperty.set`.
func testComputedPropertySet(_ wrapper: Wrapper, _ newValue: Tracked<Float>) -> Wrapper {
var result = wrapper
result.computedProperty = newValue
return result
}
let x: Tracked<Float> = 2
let wrapper = Wrapper(float: 3)
let (𝛁wrapper, 𝛁x) = pullback(at: wrapper, x, of: testComputedPropertySet)(.init(float: 10))
expectEqual(Wrapper.TangentVector(float: 100), 𝛁wrapper)
expectEqual(200, 𝛁x)
}
struct Generic<T> {
@differentiable(reverse) // derivative generic signature: none
func instanceMethod(_ x: Tracked<Float>) -> Tracked<Float> {
x
}
}
extension Generic {
@derivative(of: instanceMethod) // derivative generic signature: <T>
func vjpInstanceMethod(_ x: Tracked<Float>)
-> (value: Tracked<Float>, pullback: (Tracked<Float>) -> Tracked<Float>) {
(x, { v in 1000 })
}
}
DerivativeRegistrationTests.testWithLeakChecking("DerivativeGenericSignature") {
let generic = Generic<Float>()
let x: Tracked<Float> = 3
let dx = gradient(at: x) { x in generic.instanceMethod(x) }
expectEqual(1000, dx)
}
// When non-canonicalized generic signatures are used to compare derivative configurations, the
// `@differentiable` and `@derivative` attributes create separate derivatives, and we get a
// duplicate symbol error in TBDGen.
public protocol RefinesDifferentiable: Differentiable {}
extension Float: RefinesDifferentiable {}
@differentiable(reverse where T: Differentiable, T: RefinesDifferentiable)
public func nonCanonicalizedGenSigComparison<T>(_ t: T) -> T { t }
@derivative(of: nonCanonicalizedGenSigComparison)
public func dNonCanonicalizedGenSigComparison<T: RefinesDifferentiable>(_ t: T)
-> (value: T, pullback: (T.TangentVector) -> T.TangentVector)
{
(t, { _ in T.TangentVector.zero })
}
DerivativeRegistrationTests.testWithLeakChecking("NonCanonicalizedGenericSignatureComparison") {
let dx = gradient(at: Float(0), of: nonCanonicalizedGenSigComparison)
// Expect that we use the custom registered derivative, not a generated derivative (which would
// give a gradient of 1).
expectEqual(0, dx)
}
// Test derivatives of default implementations.
protocol HasADefaultImplementation {
func req(_ x: Tracked<Float>) -> Tracked<Float>
}
extension HasADefaultImplementation {
func req(_ x: Tracked<Float>) -> Tracked<Float> { x }
@derivative(of: req)
func req(_ x: Tracked<Float>) -> (value: Tracked<Float>, pullback: (Tracked<Float>) -> Tracked<Float>) {
(x, { 10 * $0 })
}
}
struct StructConformingToHasADefaultImplementation : HasADefaultImplementation {}
DerivativeRegistrationTests.testWithLeakChecking("DerivativeOfDefaultImplementation") {
let dx = gradient(at: Tracked<Float>(0)) { StructConformingToHasADefaultImplementation().req($0) }
expectEqual(Tracked<Float>(10), dx)
}
runAllTests()
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