swift-mirror/test/AutoDiff/validation-test/reabstraction.swift

// RUN: %target-run-simple-swift
// REQUIRES: executable_test

import _Differentiation
import StdlibUnittest

var ReabstractionE2ETests = TestSuite("ReabstractionE2E")

ReabstractionE2ETests.test("diff param concrete => generic") {
  func grad<T: Differentiable>(_ f: @differentiable(reverse) (T) -> Float, at x: T) -> T.TangentVector {
    gradient(at: x, of: f)
  }
  func inner(_ x: Float) -> Float {
    7 * x * x
  }
  expectEqual(Float(7 * 2 * 3), grad(inner, at: 3))
}

ReabstractionE2ETests.test("nondiff param concrete => generic") {
  func grad<T: Differentiable>(_ f: @differentiable(reverse) (Float, @noDerivative T) -> Float, at x: Float, _ y: T) -> Float {
    gradient(at: x) { f($0, y) }
  }
  func inner(_ x: Float, _ y: Float) -> Float {
    7 * x * x + y
  }
  expectEqual(Float(7 * 2 * 3), grad(inner, at: 3, 10))
}

ReabstractionE2ETests.test("diff param and nondiff param concrete => generic") {
  func grad<T: Differentiable>(_ f: @differentiable(reverse) (T, @noDerivative T) -> Float, at x: T, _ y: T) -> T.TangentVector {
    gradient(at: x) { f($0, y) }
  }
  func inner(_ x: Float, _ y: Float) -> Float {
    7 * x * x + y
  }
  expectEqual(Float(7 * 2 * 3), grad(inner, at: 3, 10))
}

ReabstractionE2ETests.test("result concrete => generic") {
  func grad<T: Differentiable>(_ f: @differentiable(reverse) (Float) -> T, at x: Float, seed: T.TangentVector) -> Float {
    pullback(at: x, of: f)(seed)
  }
  func inner(_ x: Float) -> Float {
    7 * x * x
  }
  expectEqual(Float(7 * 2 * 3), grad(inner, at: 3, seed: 1))
}

protocol HasFloat: Differentiable {
  @differentiable(reverse)
  var float: Float { get }

  @differentiable(reverse)
  init(float: Float)
}

extension Float: HasFloat {
  @differentiable(reverse)
  var float: Float { self }

  @differentiable(reverse)
  init(float: Float) { self = float }
}

ReabstractionE2ETests.test("diff param generic => concrete") {
  func inner<T: HasFloat>(x: T) -> Float {
    7 * x.float * x.float
  }
  let transformed: @differentiable(reverse) (Float) -> Float = inner
  expectEqual(Float(7 * 3 * 3), transformed(3))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3, of: transformed))
}

ReabstractionE2ETests.test("nondiff param generic => concrete") {
  func inner<T: HasFloat>(x: Float, y: T) -> Float {
    7 * x * x + y.float
  }
  let transformed: @differentiable(reverse) (Float, @noDerivative Float) -> Float = inner
  expectEqual(Float(7 * 3 * 3 + 10), transformed(3, 10))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3) { transformed($0, 10) })
}

ReabstractionE2ETests.test("diff param and nondiff param generic => concrete") {
  func inner<T: HasFloat>(x: T, y: T) -> Float {
    7 * x.float * x.float + y.float
  }
  let transformed: @differentiable(reverse) (Float, @noDerivative Float) -> Float = inner
  expectEqual(Float(7 * 3 * 3 + 10), transformed(3, 10))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3) { transformed($0, 10) })
}

ReabstractionE2ETests.test("result generic => concrete") {
  func inner<T: HasFloat>(x: Float) -> T {
    T(float: 7 * x * x)
  }
  let transformed: @differentiable(reverse) (Float) -> Float = inner
  expectEqual(Float(7 * 3 * 3), transformed(3))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3, of: transformed))
}

ReabstractionE2ETests.test("diff param concrete => generic => concrete") {
  typealias FnTy<T: Differentiable> = @differentiable(reverse) (T) -> Float
  func id<T: Differentiable>(_ f: @escaping FnTy<T>) -> FnTy<T> { f }
  func inner(_ x: Float) -> Float {
    7 * x * x
  }
  let transformed = id(inner)
  expectEqual(Float(7 * 3 * 3), transformed(3))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3, of: transformed))
}

ReabstractionE2ETests.test("nondiff param concrete => generic => concrete") {
  typealias FnTy<T: Differentiable> = @differentiable(reverse) (Float, @noDerivative T) -> Float
  func id<T: Differentiable>(_ f: @escaping FnTy<T>) -> FnTy<T> { f }
  func inner(_ x: Float, _ y: Float) -> Float {
    7 * x * x + y
  }
  let transformed = id(inner)
  expectEqual(Float(7 * 3 * 3 + 10), transformed(3, 10))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3) { transformed($0, 10) })
}

ReabstractionE2ETests.test("diff param and nondiff param concrete => generic => concrete") {
  typealias FnTy<T: Differentiable> = @differentiable(reverse) (T, @noDerivative T) -> Float
  func id<T: Differentiable>(_ f: @escaping FnTy<T>) -> FnTy<T> { f }
  func inner(_ x: Float, _ y: Float) -> Float {
    7 * x * x + y
  }
  let transformed = id(inner)
  expectEqual(Float(7 * 3 * 3 + 10), transformed(3, 10))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3) { transformed($0, 10) })
}

ReabstractionE2ETests.test("result concrete => generic => concrete") {
  typealias FnTy<T: Differentiable> = @differentiable(reverse) (Float) -> T
  func id<T: Differentiable>(_ f: @escaping FnTy<T>) -> FnTy<T> { f }
  func inner(_ x: Float) -> Float {
    7 * x * x
  }
  let transformed = id(inner)
  expectEqual(Float(7 * 3 * 3), transformed(3))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3, of: transformed))
}

ReabstractionE2ETests.test("@differentiable(reverse) function => opaque generic => concrete") {
  func id<T>(_ t: T) -> T { t }
  let inner: @differentiable(reverse) (Float) -> Float = { 7 * $0 * $0 }

  let transformed = id(inner)
  expectEqual(Float(7 * 3 * 3), transformed(3))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3, of: id(inner)))
}

ReabstractionE2ETests.test("@differentiable(reverse) function => opaque Any => concrete") {
  func id(_ any: Any) -> Any { any }
  let inner: @differentiable(reverse) (Float) -> Float = { 7 * $0 * $0 }

  let transformed = id(inner)
  let casted = transformed as! @differentiable(reverse) (Float) -> Float
  expectEqual(Float(7 * 3 * 3), casted(3))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3, of: casted))
}

ReabstractionE2ETests.test("access @differentiable(reverse) function using KeyPath") {
  struct Container {
    let f: @differentiable(reverse) (Float) -> Float
  }
  let container = Container(f: { 7 * $0 * $0 })
  let kp = \Container.f

  let extracted = container[keyPath: kp]
  expectEqual(Float(7 * 3 * 3), extracted(3))
  expectEqual(Float(7 * 2 * 3), gradient(at: 3, of: extracted))
}

runAllTests()