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18 changes: 10 additions & 8 deletions test/DualTest.jl
Original file line number Diff line number Diff line change
Expand Up @@ -391,14 +391,16 @@ for N in (0,3), M in (0,4), V in (Int, Float32)

# Exponentiation #
#----------------#

@test dual_isapprox(FDNUM^FDNUM2, exp(FDNUM2 * log(FDNUM)))
@test dual_isapprox(FDNUM^PRIMAL, exp(PRIMAL * log(FDNUM)))
@test dual_isapprox(PRIMAL^FDNUM, exp(FDNUM * log(PRIMAL)))

@test dual_isapprox(NESTED_FDNUM^NESTED_FDNUM2, exp(NESTED_FDNUM2 * log(NESTED_FDNUM)))
@test dual_isapprox(NESTED_FDNUM^PRIMAL, exp(PRIMAL * log(NESTED_FDNUM)))
@test dual_isapprox(PRIMAL^NESTED_FDNUM, exp(NESTED_FDNUM * log(PRIMAL)))
# If V == Int, the LHS terms are Int's. Large inputs cause integer overflow
# within the generic fallback of `isapprox`, resulting in a DomainError.
# Promote to Float64 to avoid issues.
@test dual_isapprox(1.0 * FDNUM^FDNUM2, exp(FDNUM2 * log(FDNUM)))
@test dual_isapprox(1.0 * FDNUM^PRIMAL, exp(PRIMAL * log(FDNUM)))
@test dual_isapprox(1.0 * PRIMAL^FDNUM, exp(FDNUM * log(PRIMAL)))

@test dual_isapprox(1.0 * NESTED_FDNUM^NESTED_FDNUM2, exp(NESTED_FDNUM2 * log(NESTED_FDNUM)))
@test dual_isapprox(1.0 * NESTED_FDNUM^PRIMAL, exp(PRIMAL * log(NESTED_FDNUM)))
@test dual_isapprox(1.0 * PRIMAL^NESTED_FDNUM, exp(NESTED_FDNUM * log(PRIMAL)))

@test partials(NaNMath.pow(Dual{TestTag()}(-2.0, 1.0), Dual{TestTag()}(2.0, 0.0)), 1) == -4.0

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