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| 1 | +// RUN: %target-run-simple-swift(-Xfrontend -enable-experimental-forward-mode-differentiation) |
| 2 | +// REQUIRES: executable_test |
| 3 | + |
| 4 | +import StdlibUnittest |
| 5 | +import DifferentiationUnittest |
| 6 | + |
| 7 | +var ForwardModeTests = TestSuite("ForwardModeDifferentiation") |
| 8 | + |
| 9 | +//===----------------------------------------------------------------------===// |
| 10 | +// SIMD methods from SIMDDifferentiation.swift.gyb |
| 11 | +// Tests replicate reverse mode tests from test/AutoDiff/stdlib/simd.swift |
| 12 | +//===----------------------------------------------------------------------===// |
| 13 | + |
| 14 | +ForwardModeTests.test("init(repeating:)") { |
| 15 | + func foo1(x: Float) -> SIMD4<Float> { |
| 16 | + return SIMD4<Float>(repeating: 2 * x) |
| 17 | + } |
| 18 | + let (val1, df1) = valueWithDifferential(at: 5, in: foo1) |
| 19 | + expectEqual(SIMD4<Float>(10, 10, 10, 10), val1) |
| 20 | + expectEqual(SIMD4<Float>(6, 6, 6, 6), df1(3)) |
| 21 | +} |
| 22 | + |
| 23 | +ForwardModeTests.test("Identity") { |
| 24 | + let a = SIMD4<Float>(1, 2, 3, 4) |
| 25 | + let g = SIMD4<Float>(1, 1, 1, 1) |
| 26 | + |
| 27 | + func foo1(x: SIMD4<Float>) -> SIMD4<Float> { |
| 28 | + return x |
| 29 | + } |
| 30 | + let (val1, df1) = valueWithDifferential(at: a, in: foo1) |
| 31 | + expectEqual(a, val1) |
| 32 | + expectEqual(g, df1(.init(g))) |
| 33 | +} |
| 34 | + |
| 35 | +ForwardModeTests.test("Negate") { |
| 36 | + let a = SIMD4<Float>(1, 2, 3, 4) |
| 37 | + let g = SIMD4<Float>(1, 1, 1, 1) |
| 38 | + |
| 39 | + func foo1(x: SIMD4<Float>) -> SIMD4<Float> { |
| 40 | + return -x |
| 41 | + } |
| 42 | + let (val1, df1) = valueWithDifferential(at: a, in: foo1) |
| 43 | + expectEqual(-a, val1) |
| 44 | + expectEqual(-g, df1(.init(g))) |
| 45 | +} |
| 46 | + |
| 47 | +ForwardModeTests.test("subscript") { |
| 48 | + let a = SIMD4<Float>(1, 2, 3, 4) |
| 49 | + |
| 50 | + func foo1(x: SIMD4<Float>) -> Float { |
| 51 | + return x[3] |
| 52 | + } |
| 53 | + |
| 54 | + let (val1, df1) = valueWithDifferential(at: a, in: foo1) |
| 55 | + expectEqual(4, val1) |
| 56 | + expectEqual(4, df1(a)) |
| 57 | +} |
| 58 | + |
| 59 | +ForwardModeTests.test("Addition") { |
| 60 | + let a = SIMD4<Float>(1, 2, 3, 4) |
| 61 | + let g = SIMD4<Float>(1, 1, 1, 1) |
| 62 | + |
| 63 | + // SIMD + SIMD |
| 64 | + func foo1(x: SIMD4<Float>, y: SIMD4<Float>) -> SIMD4<Float> { |
| 65 | + return x + y |
| 66 | + } |
| 67 | + let (val1, df1) = valueWithDifferential(at: a, a, in: foo1) |
| 68 | + expectEqual(SIMD4<Float>(2, 4, 6, 8), val1) |
| 69 | + expectEqual(a + g, df1(a, g)) |
| 70 | + |
| 71 | + // SIMD + Scalar |
| 72 | + func foo2(x: SIMD4<Float>, y: Float) -> SIMD4<Float> { |
| 73 | + return x + y |
| 74 | + } |
| 75 | + let (val2, df2) = valueWithDifferential(at: a, 5, in: foo2) |
| 76 | + expectEqual(SIMD4<Float>(6, 7, 8, 9), val2) |
| 77 | + expectEqual(g + 1, df2(g, 1)) |
| 78 | + |
| 79 | + // Scalar + SIMD |
| 80 | + func foo3(x: SIMD4<Float>, y: Float) -> SIMD4<Float> { |
| 81 | + return y + x |
| 82 | + } |
| 83 | + let (val3, df3) = valueWithDifferential(at: a, 5, in: foo3) |
| 84 | + expectEqual(SIMD4<Float>(6, 7, 8, 9), val3) |
| 85 | + expectEqual(2 + g, df3(g, 2)) |
| 86 | +} |
| 87 | + |
| 88 | +ForwardModeTests.test("Subtraction") { |
| 89 | + let a = SIMD4<Float>(1, 2, 3, 4) |
| 90 | + let g = SIMD4<Float>(1, 1, 1, 1) |
| 91 | + |
| 92 | + // SIMD - SIMD |
| 93 | + func foo1(x: SIMD4<Float>, y: SIMD4<Float>) -> SIMD4<Float> { |
| 94 | + return x - y |
| 95 | + } |
| 96 | + let (val1, df1) = valueWithDifferential(at: a, a, in: foo1) |
| 97 | + expectEqual(SIMD4<Float>(0, 0, 0, 0), val1) |
| 98 | + expectEqual(g - a, df1(g, a)) |
| 99 | + |
| 100 | + // SIMD - Scalar |
| 101 | + func foo2(x: SIMD4<Float>, y: Float) -> SIMD4<Float> { |
| 102 | + return x - y |
| 103 | + } |
| 104 | + let (val2, df2) = valueWithDifferential(at: a, 5, in: foo2) |
| 105 | + expectEqual(SIMD4<Float>(-4, -3, -2, -1), val2) |
| 106 | + expectEqual(g - 1, df2(g, 1)) |
| 107 | + |
| 108 | + // Scalar - SIMD |
| 109 | + func foo3(x: SIMD4<Float>, y: Float) -> SIMD4<Float> { |
| 110 | + return y - x |
| 111 | + } |
| 112 | + let (val3, df3) = valueWithDifferential(at: a, 5, in: foo3) |
| 113 | + expectEqual(SIMD4<Float>(4, 3, 2, 1), val3) |
| 114 | + expectEqual(2 - g, df3(g, 2)) |
| 115 | +} |
| 116 | + |
| 117 | +ForwardModeTests.test("Multiplication") { |
| 118 | + let a = SIMD4<Float>(1, 2, 3, 4) |
| 119 | + let a2 = SIMD4<Float>(4, 3, 2, 1) |
| 120 | + let g = SIMD4<Float>(1, 1, 1, 1) |
| 121 | + let g2 = SIMD4<Float>(0, 2, 1, 3) |
| 122 | + |
| 123 | + // SIMD * SIMD |
| 124 | + func foo1(x: SIMD4<Float>, y: SIMD4<Float>) -> SIMD4<Float> { |
| 125 | + return x * y |
| 126 | + } |
| 127 | + let (val1, df1) = valueWithDifferential(at: a, a2, in: foo1) |
| 128 | + expectEqual(a * a2, val1) |
| 129 | + expectEqual(a * g2 + g * a2, df1(g, g2)) |
| 130 | + |
| 131 | + // SIMD * Scalar |
| 132 | + func foo2(x: SIMD4<Float>, y: Float) -> SIMD4<Float> { |
| 133 | + return x * y |
| 134 | + } |
| 135 | + let (val2, df2) = valueWithDifferential(at: a, 5, in: foo2) |
| 136 | + expectEqual(a * 5, val2) |
| 137 | + expectEqual(a * 2 + g * 5, df2(g, 2)) |
| 138 | + |
| 139 | + // Scalar * SIMD |
| 140 | + func foo3(x: SIMD4<Float>, y: Float) -> SIMD4<Float> { |
| 141 | + return y * x |
| 142 | + } |
| 143 | + let (val3, df3) = valueWithDifferential(at: a, 5, in: foo3) |
| 144 | + expectEqual(a * 5, val3) |
| 145 | + expectEqual(a * 3 + g * 5, df3(g, 3)) |
| 146 | +} |
| 147 | + |
| 148 | +ForwardModeTests.test("Division") { |
| 149 | + let a = SIMD4<Float>(1, 2, 3, 4) |
| 150 | + let g = SIMD4<Float>(1, 1, 1, 1) |
| 151 | + |
| 152 | + // SIMD / SIMD |
| 153 | + func foo1(x: SIMD4<Float>, y: SIMD4<Float>) -> SIMD4<Float> { |
| 154 | + return x / y |
| 155 | + } |
| 156 | + let (val1, df1) = valueWithDifferential(at: a, a, in: foo1) |
| 157 | + expectEqual(a / a, val1) |
| 158 | + expectEqual((g * a - a * g) / (a * a)/* == 0 */, df1(g, g)) |
| 159 | + |
| 160 | + // SIMD / Scalar |
| 161 | + func foo2(x: SIMD4<Float>, y: Float) -> SIMD4<Float> { |
| 162 | + return x / y |
| 163 | + } |
| 164 | + let (val2, df2) = valueWithDifferential(at: a, 5, in: foo2) |
| 165 | + expectEqual(a / 5, val2) |
| 166 | + expectEqual((g * 5 - a * 2) / (5 * 5), df2(g, 2)) |
| 167 | + |
| 168 | + // Scalar / SIMD |
| 169 | + func foo3(x: Float, y: SIMD4<Float>) -> SIMD4<Float> { |
| 170 | + return x / y |
| 171 | + } |
| 172 | + let (val3, df3) = valueWithDifferential(at: 5, a, in: foo3) |
| 173 | + expectEqual(5 / a, val3) |
| 174 | + expectEqual((3 * a - 5 * g) / (a * a), df3(3, g)) |
| 175 | +} |
| 176 | + |
| 177 | +ForwardModeTests.test("Generics") { |
| 178 | + let a = SIMD3<Double>(1, 2, 3) |
| 179 | + let g = SIMD3<Double>(1, 1, 1) |
| 180 | + |
| 181 | + // FIXME(SR-13210): Fix forward-mode SIL verification error. |
| 182 | + /* |
| 183 | + func testInit<Scalar, SIMDType: SIMD>(x: Scalar) -> SIMDType |
| 184 | + where SIMDType.Scalar == Scalar, |
| 185 | + SIMDType : Differentiable, |
| 186 | + Scalar : BinaryFloatingPoint & Differentiable, |
| 187 | + SIMDType.TangentVector == SIMDType, |
| 188 | + Scalar.TangentVector == Scalar { |
| 189 | + return SIMDType.init(repeating: x) |
| 190 | + } |
| 191 | + func simd3Init(x: Double) -> SIMD3<Double> { testInit(x: x) } |
| 192 | + let (val1, df1) = valueWithDifferential(at: 10, in: simd3Init) |
| 193 | + expectEqual(SIMD3<Double>(10, 10, 10), val1) |
| 194 | + expectEqual(SIMD3<Double>(5, 5, 5), df1(5)) |
| 195 | + */ |
| 196 | + |
| 197 | + // SIMDType + SIMDType |
| 198 | + func testAddition<Scalar, SIMDType: SIMD>(lhs: SIMDType, rhs: SIMDType) |
| 199 | + -> SIMDType |
| 200 | + where SIMDType.Scalar == Scalar, |
| 201 | + SIMDType : Differentiable, |
| 202 | + SIMDType.TangentVector : SIMD, |
| 203 | + Scalar : BinaryFloatingPoint, |
| 204 | + SIMDType.TangentVector.Scalar : BinaryFloatingPoint { |
| 205 | + return lhs + rhs |
| 206 | + } |
| 207 | + func simd3Add(lhs: SIMD3<Double>, rhs: SIMD3<Double>) -> SIMD3<Double> { |
| 208 | + return testAddition(lhs: lhs, rhs: rhs) |
| 209 | + } |
| 210 | + let (val2, df2) = valueWithDifferential(at: a, a, in: simd3Add) |
| 211 | + expectEqual(SIMD3<Double>(2, 4, 6), val2) |
| 212 | + expectEqual(g + a, df2(g, a)) |
| 213 | + |
| 214 | + // Scalar - SIMDType |
| 215 | + func testSubtraction<Scalar, SIMDType: SIMD>(lhs: Scalar, rhs: SIMDType) |
| 216 | + -> SIMDType |
| 217 | + where SIMDType.Scalar == Scalar, |
| 218 | + SIMDType : Differentiable, |
| 219 | + Scalar : BinaryFloatingPoint & Differentiable, |
| 220 | + SIMDType.TangentVector == SIMDType, |
| 221 | + Scalar.TangentVector == Scalar { |
| 222 | + return lhs - rhs |
| 223 | + } |
| 224 | + func simd3Subtract(lhs: Double, rhs: SIMD3<Double>) -> SIMD3<Double> { |
| 225 | + return testSubtraction(lhs: lhs, rhs: rhs) |
| 226 | + } |
| 227 | + let (val3, df3) = valueWithDifferential(at: 5, a, in: simd3Subtract) |
| 228 | + expectEqual(SIMD3<Double>(4, 3, 2), val3) |
| 229 | + expectEqual(2 - g, df3(2, g)) |
| 230 | + |
| 231 | + // SIMDType * Scalar |
| 232 | + func testMultipication<Scalar, SIMDType: SIMD>(lhs: SIMDType, rhs: Scalar) |
| 233 | + -> SIMDType |
| 234 | + where SIMDType.Scalar == Scalar, |
| 235 | + SIMDType : Differentiable, |
| 236 | + Scalar : BinaryFloatingPoint & Differentiable, |
| 237 | + SIMDType.TangentVector == SIMDType, |
| 238 | + Scalar.TangentVector == Scalar { |
| 239 | + return lhs * rhs |
| 240 | + } |
| 241 | + func simd3Multiply(lhs: SIMD3<Double>, rhs: Double) -> SIMD3<Double> { |
| 242 | + return testMultipication(lhs: lhs, rhs: rhs) |
| 243 | + } |
| 244 | + let (val4, df4) = valueWithDifferential(at: a, 5, in: simd3Multiply) |
| 245 | + expectEqual(SIMD3<Double>(5, 10, 15), val4) |
| 246 | + expectEqual(a * 3 + g * 5 , df4(g, 3)) |
| 247 | +} |
| 248 | + |
| 249 | +runAllTests() |
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