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Improve the product of TaylorModels #81

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Improve the product of TaylorModels #81

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cbd8188
modify TaylorModel1s product
Jun 28, 2020
e4ae224
fix remainder_product function
Jul 6, 2020
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5 changes: 4 additions & 1 deletion src/arithmetic.jl
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Expand Up @@ -126,9 +126,12 @@ end
function remainder_product(a, b, aux, Δnegl)
Δa = a.pol(aux)
Δb = b.pol(aux)
Δ = Δnegl + Δb * a.rem + Δa * b.rem + a.rem * b.rem
Δ₁ = Δa * b.rem + a.rem * (Δb + b.rem)
Δ₂ = Δb * a.rem + b.rem * (Δa + a.rem)
Δ = Δnegl + (Δ₁ ∩ Δ₂)
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return Δ
end

function remainder_product(a::TaylorModel1{TaylorModelN{N,T,S},S},
b::TaylorModel1{TaylorModelN{N,T,S},S}, aux, Δnegl) where {N,T,S}
Δa = a.pol(aux)
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