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23 changes: 14 additions & 9 deletions src/dual.jl
Original file line number Diff line number Diff line change
Expand Up @@ -410,11 +410,13 @@ end
@ambiguous @inline Base.atan2(y::Real, x::Dual) = calc_atan2(y, x)
@ambiguous @inline Base.atan2(y::Dual, x::Real) = calc_atan2(y, x)

@inline function Base.fma(x::Dual, y::Dual, z::Dual)
vx, vy = value(x), value(y)
result = fma(vx, vy, value(z))
return Dual(result,
_mul_partials(partials(x), partials(y), vy, vx) + partials(z))
@generated function Base.fma{N}(x::Dual{N}, y::Dual{N}, z::Dual{N})
ex = Expr(:tuple, [:(fma(value(x), partials(y)[$i], fma(value(y), partials(x)[$i], partials(z)[$i]))) for i in 1:N]...)
return quote
$(Expr(:meta, :inline))
v = fma(value(x), value(y), value(z))
Dual(v, $ex)
end
end

@inline function Base.fma(x::Dual, y::Dual, z::Real)
Expand All @@ -423,10 +425,13 @@ end
return Dual(result, _mul_partials(partials(x), partials(y), vy, vx))
end

@inline function Base.fma(x::Dual, y::Real, z::Dual)
vx = value(x)
result = fma(vx, y, value(z))
return Dual(result, partials(x) * y + partials(z))
@generated function Base.fma{N}(x::Dual{N}, y::Real, z::Dual{N})
ex = Expr(:tuple, [:(fma(partials(x)[$i], y, partials(z)[$i])) for i in 1:N]...)
return quote
$(Expr(:meta, :inline))
v = fma(value(x), y, value(z))
Dual(v, $ex)
end
end

@inline Base.fma(x::Real, y::Dual, z::Dual) = fma(y, x, z)
Expand Down