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| 1 | +// RUN: %target-run-simple-swift |
| 2 | + |
| 3 | +import StdlibUnittest |
| 4 | +import DifferentiationUnittest |
| 5 | + |
| 6 | +// Test end-to-end differentiation of `@differentiable` protocol requirements. |
| 7 | + |
| 8 | +var ProtocolRequirementAutodiffTests = TestSuite("ProtocolRequirementDifferentiation") |
| 9 | + |
| 10 | +// MARK: - Method requirements. |
| 11 | + |
| 12 | +protocol DiffReq: Differentiable { |
| 13 | + @differentiable(wrt: (self, x)) |
| 14 | + func f(_ x: Tracked<Float>) -> Tracked<Float> |
| 15 | +} |
| 16 | + |
| 17 | +extension DiffReq where TangentVector: AdditiveArithmetic { |
| 18 | + @inline(never) // Prevent specialization, to test all witness code. |
| 19 | + func gradF(at x: Tracked<Float>) -> (Self.TangentVector, Tracked<Float>) { |
| 20 | + return (valueWithPullback(at: self, x) { s, x in s.f(x) }).1(1) |
| 21 | + } |
| 22 | +} |
| 23 | + |
| 24 | +struct Quadratic: DiffReq, AdditiveArithmetic { |
| 25 | + typealias TangentVector = Quadratic |
| 26 | + |
| 27 | + @differentiable |
| 28 | + let a: Tracked<Float> |
| 29 | + |
| 30 | + @differentiable |
| 31 | + let b: Tracked<Float> |
| 32 | + |
| 33 | + @differentiable |
| 34 | + let c: Tracked<Float> |
| 35 | + |
| 36 | + init(_ a: Tracked<Float>, _ b: Tracked<Float>, _ c: Tracked<Float>) { |
| 37 | + self.a = a |
| 38 | + self.b = b |
| 39 | + self.c = c |
| 40 | + } |
| 41 | + |
| 42 | + @differentiable(wrt: (self, x)) |
| 43 | + func f(_ x: Tracked<Float>) -> Tracked<Float> { |
| 44 | + return a * x * x + b * x + c |
| 45 | + } |
| 46 | +} |
| 47 | + |
| 48 | +ProtocolRequirementAutodiffTests.testWithLeakChecking("func") { |
| 49 | + expectEqual((Quadratic(0, 0, 1), 12), Quadratic(11, 12, 13).gradF(at: 0)) |
| 50 | + expectEqual((Quadratic(1, 1, 1), 2 * 11 + 12), |
| 51 | + Quadratic(11, 12, 13).gradF(at: 1)) |
| 52 | + expectEqual((Quadratic(4, 2, 1), 2 * 11 * 2 + 12), |
| 53 | + Quadratic(11, 12, 13).gradF(at: 2)) |
| 54 | +} |
| 55 | + |
| 56 | +// MARK: - Constructor, accessor, and subscript requirements. |
| 57 | + |
| 58 | +protocol FunctionsOfX: Differentiable { |
| 59 | + @differentiable |
| 60 | + init(x: Tracked<Float>) |
| 61 | + |
| 62 | + @differentiable |
| 63 | + var x: Tracked<Float> { get } |
| 64 | + |
| 65 | + @differentiable |
| 66 | + var y: Tracked<Float> { get } |
| 67 | + |
| 68 | + @differentiable |
| 69 | + var z: Tracked<Float> { get } |
| 70 | + |
| 71 | + @differentiable |
| 72 | + subscript() -> Tracked<Float> { get } |
| 73 | +} |
| 74 | + |
| 75 | +struct TestFunctionsOfX: FunctionsOfX { |
| 76 | + @differentiable |
| 77 | + init(x: Tracked<Float>) { |
| 78 | + self.x = x |
| 79 | + self.y = x * x |
| 80 | + } |
| 81 | + |
| 82 | + /// x = x |
| 83 | + var x: Tracked<Float> |
| 84 | + |
| 85 | + /// y = x * x |
| 86 | + var y: Tracked<Float> |
| 87 | + |
| 88 | + /// z = x * x + x |
| 89 | + var z: Tracked<Float> { |
| 90 | + return y + x |
| 91 | + } |
| 92 | + |
| 93 | + @differentiable |
| 94 | + subscript() -> Tracked<Float> { |
| 95 | + return z |
| 96 | + } |
| 97 | +} |
| 98 | + |
| 99 | +@inline(never) // Prevent specialization, to test all witness code. |
| 100 | +func derivatives<F: FunctionsOfX>(at x: Tracked<Float>, in: F.Type) |
| 101 | + -> (Tracked<Float>, Tracked<Float>, Tracked<Float>, Tracked<Float>) |
| 102 | +{ |
| 103 | + let dxdx = gradient(at: x) { x in F(x: x).x } |
| 104 | + let dydx = gradient(at: x) { x in F(x: x).y } |
| 105 | + let dzdx = gradient(at: x) { x in F(x: x).z } |
| 106 | + let dsubscriptdx = gradient(at: x) { x in F(x: x)[] } |
| 107 | + return (dxdx, dydx, dzdx, dsubscriptdx) |
| 108 | +} |
| 109 | + |
| 110 | +ProtocolRequirementAutodiffTests.testWithLeakChecking("constructor, accessor, subscript") { |
| 111 | + expectEqual( |
| 112 | + (1.0, 4.0, 5.0, 5.0), |
| 113 | + derivatives(at: 2.0, in: TestFunctionsOfX.self)) |
| 114 | +} |
| 115 | + |
| 116 | +// MARK: - Test witness method SIL type computation. |
| 117 | + |
| 118 | +protocol P: Differentiable { |
| 119 | + @differentiable(wrt: (x, y)) |
| 120 | + func foo(_ x: Tracked<Float>, _ y: Double) -> Tracked<Float> |
| 121 | +} |
| 122 | +struct S: P { |
| 123 | + @differentiable(wrt: (x, y)) |
| 124 | + func foo(_ x: Tracked<Float>, _ y: Double) -> Tracked<Float> { |
| 125 | + return x |
| 126 | + } |
| 127 | +} |
| 128 | + |
| 129 | +// MARK: - Overridding protocol method adding `@differentiable` attribute. |
| 130 | + |
| 131 | +public protocol Distribution { |
| 132 | + associatedtype Value |
| 133 | + func logProbability(of value: Value) -> Tracked<Float> |
| 134 | +} |
| 135 | + |
| 136 | +public protocol DifferentiableDistribution: Differentiable, Distribution { |
| 137 | + @differentiable(wrt: self) |
| 138 | + func logProbability(of value: Value) -> Tracked<Float> |
| 139 | +} |
| 140 | + |
| 141 | +struct Foo: DifferentiableDistribution { |
| 142 | + @differentiable(wrt: self) |
| 143 | + func logProbability(of value: Tracked<Float>) -> Tracked<Float> { |
| 144 | + .zero |
| 145 | + } |
| 146 | +} |
| 147 | + |
| 148 | +@differentiable |
| 149 | +func blah<T: DifferentiableDistribution>(_ x: T) -> Tracked<Float> |
| 150 | +where T.Value: AdditiveArithmetic { |
| 151 | + x.logProbability(of: .zero) |
| 152 | +} |
| 153 | + |
| 154 | +// Adding a more general `@differentiable` attribute. |
| 155 | + |
| 156 | +public protocol DoubleDifferentiableDistribution: DifferentiableDistribution |
| 157 | + where Value: Differentiable { |
| 158 | + @differentiable(wrt: self) |
| 159 | + @differentiable(wrt: (self, value)) |
| 160 | + func logProbability(of value: Value) -> Tracked<Float> |
| 161 | +} |
| 162 | + |
| 163 | +@differentiable |
| 164 | +func blah2<T: DoubleDifferentiableDistribution>(_ x: T, _ value: T.Value) -> Tracked<Float> |
| 165 | +where T.Value: AdditiveArithmetic { |
| 166 | + x.logProbability(of: value) |
| 167 | +} |
| 168 | + |
| 169 | +// Satisfying the requirement with more wrt parameter indices than are necessary. |
| 170 | + |
| 171 | +protocol DifferentiableFoo { |
| 172 | + associatedtype T: Differentiable |
| 173 | + @differentiable(wrt: x) |
| 174 | + func foo(_ x: T) -> Tracked<Float> |
| 175 | +} |
| 176 | + |
| 177 | +protocol MoreDifferentiableFoo: Differentiable, DifferentiableFoo { |
| 178 | + @differentiable(wrt: (self, x)) |
| 179 | + func foo(_ x: T) -> Tracked<Float> |
| 180 | +} |
| 181 | + |
| 182 | +struct MoreDifferentiableFooStruct: MoreDifferentiableFoo { |
| 183 | + @differentiable(wrt: (self, x)) |
| 184 | + func foo(_ x: Tracked<Float>) -> Tracked<Float> { |
| 185 | + x |
| 186 | + } |
| 187 | +} |
| 188 | + |
| 189 | +// Satisfying the requirement with a less-constrained derivative than is necessary. |
| 190 | + |
| 191 | +protocol ExtraDerivativeConstraint {} |
| 192 | + |
| 193 | +protocol HasExtraConstrainedDerivative { |
| 194 | + @differentiable |
| 195 | + func requirement<T: Differentiable & ExtraDerivativeConstraint>(_ x: T) -> T |
| 196 | +} |
| 197 | + |
| 198 | +struct SatisfiesDerivativeWithLessConstraint: HasExtraConstrainedDerivative { |
| 199 | + @differentiable |
| 200 | + func requirement<T: Differentiable>(_ x: T) -> T { x } |
| 201 | +} |
| 202 | + |
| 203 | +runAllTests() |
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