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| 1 | +Mooncake.@is_primitive( |
| 2 | + DefaultCtx, |
| 3 | + ReverseMode, |
| 4 | + Tuple{ |
| 5 | + typeof(TO.tensorcontract!), |
| 6 | + AbstractTensorMap, |
| 7 | + AbstractTensorMap, Index2Tuple, Bool, |
| 8 | + AbstractTensorMap, Index2Tuple, Bool, |
| 9 | + Index2Tuple, |
| 10 | + Number, Number, |
| 11 | + Vararg{Any}, |
| 12 | + } |
| 13 | +) |
| 14 | + |
| 15 | +function Mooncake.rrule!!( |
| 16 | + ::CoDual{typeof(TO.tensorcontract!)}, |
| 17 | + C_ΔC::CoDual{<:AbstractTensorMap}, |
| 18 | + A_ΔA::CoDual{<:AbstractTensorMap}, pA_ΔpA::CoDual{<:Index2Tuple}, conjA_ΔconjA::CoDual{Bool}, |
| 19 | + B_ΔB::CoDual{<:AbstractTensorMap}, pB_ΔpB::CoDual{<:Index2Tuple}, conjB_ΔconjB::CoDual{Bool}, |
| 20 | + pAB_ΔpAB::CoDual{<:Index2Tuple}, |
| 21 | + α_Δα::CoDual{<:Number}, β_Δβ::CoDual{<:Number}, |
| 22 | + ba_Δba::CoDual..., |
| 23 | + ) |
| 24 | + # prepare arguments |
| 25 | + (C, ΔC), (A, ΔA), (B, ΔB) = arrayify.((C_ΔC, A_ΔA, B_ΔB)) |
| 26 | + pA, pB, pAB = primal.((pA_ΔpA, pB_ΔpB, pAB_ΔpAB)) |
| 27 | + conjA, conjB = primal.((conjA_ΔconjA, conjB_ΔconjB)) |
| 28 | + α, β = primal.((α_Δα, β_Δβ)) |
| 29 | + ba = primal.(ba_Δba) |
| 30 | + |
| 31 | + # primal call |
| 32 | + C_cache = copy(C) |
| 33 | + TO.tensorcontract!(C, A, pA, conjA, B, pB, conjB, pAB, α, β, ba...) |
| 34 | + |
| 35 | + function tensorcontract_pullback(::NoRData) |
| 36 | + copy!(C, C_cache) |
| 37 | + |
| 38 | + ΔCr = tensorcontract_pullback_ΔC!(ΔC, β) |
| 39 | + ΔAr = tensorcontract_pullback_ΔA!( |
| 40 | + ΔA, ΔC, A, pA, conjA, B, pB, conjB, pAB, α, ba... |
| 41 | + ) |
| 42 | + ΔBr = tensorcontract_pullback_ΔB!( |
| 43 | + ΔB, ΔC, A, pA, conjA, B, pB, conjB, pAB, α, ba... |
| 44 | + ) |
| 45 | + Δαr = tensorcontract_pullback_Δα( |
| 46 | + ΔC, A, pA, conjA, B, pB, conjB, pAB, α, ba... |
| 47 | + ) |
| 48 | + Δβr = tensorcontract_pullback_Δβ(ΔC, C, β) |
| 49 | + |
| 50 | + return NoRData(), ΔCr, |
| 51 | + ΔAr, NoRData(), NoRData(), |
| 52 | + ΔBr, NoRData(), NoRData(), |
| 53 | + NoRData(), |
| 54 | + Δαr, Δβr, |
| 55 | + map(ba_ -> NoRData(), ba)... |
| 56 | + end |
| 57 | + |
| 58 | + return C_ΔC, tensorcontract_pullback |
| 59 | +end |
| 60 | + |
| 61 | +tensorcontract_pullback_ΔC!(ΔC, β) = (scale!(ΔC, conj(β)); NoRData()) |
| 62 | + |
| 63 | +function tensorcontract_pullback_ΔA!( |
| 64 | + ΔA, ΔC, A, pA, conjA, B, pB, conjB, pAB, α, ba... |
| 65 | + ) |
| 66 | + ipAB = invperm(linearize(pAB)) |
| 67 | + pΔC = _repartition(ipAB, TO.numout(pA)) |
| 68 | + ipA = _repartition(invperm(linearize(pA)), A) |
| 69 | + conjΔC = conjA |
| 70 | + conjB′ = conjA ? conjB : !conjB |
| 71 | + |
| 72 | + tB = twist( |
| 73 | + B, |
| 74 | + TupleTools.vcat( |
| 75 | + filter(x -> !isdual(space(B, x)), pB[1]), |
| 76 | + filter(x -> isdual(space(B, x)), pB[2]) |
| 77 | + ); copy = false |
| 78 | + ) |
| 79 | + |
| 80 | + TO.tensorcontract!( |
| 81 | + ΔA, |
| 82 | + ΔC, pΔC, conjΔC, |
| 83 | + tB, reverse(pB), conjB′, |
| 84 | + ipA, |
| 85 | + conjA ? α : conj(α), Zero(), |
| 86 | + ba... |
| 87 | + ) |
| 88 | + |
| 89 | + return NoRData() |
| 90 | +end |
| 91 | + |
| 92 | +function tensorcontract_pullback_ΔB!( |
| 93 | + ΔB, ΔC, A, pA, conjA, B, pB, conjB, pAB, α, ba... |
| 94 | + ) |
| 95 | + ipAB = invperm(linearize(pAB)) |
| 96 | + pΔC = _repartition(ipAB, TO.numout(pA)) |
| 97 | + ipB = _repartition(invperm(linearize(pB)), B) |
| 98 | + conjΔC = conjB |
| 99 | + conjA′ = conjB ? conjA : !conjA |
| 100 | + |
| 101 | + tA = twist( |
| 102 | + A, |
| 103 | + TupleTools.vcat( |
| 104 | + filter(x -> isdual(space(A, x)), pA[1]), |
| 105 | + filter(x -> !isdual(space(A, x)), pA[2]) |
| 106 | + ); copy = false |
| 107 | + ) |
| 108 | + |
| 109 | + TO.tensorcontract!( |
| 110 | + ΔB, |
| 111 | + tA, reverse(pA), conjA′, |
| 112 | + ΔC, pΔC, conjΔC, |
| 113 | + ipB, |
| 114 | + conjB ? α : conj(α), Zero(), ba... |
| 115 | + ) |
| 116 | + |
| 117 | + return NoRData() |
| 118 | +end |
| 119 | + |
| 120 | +function tensorcontract_pullback_Δα( |
| 121 | + ΔC, A, pA, conjA, B, pB, conjB, pAB, α, ba... |
| 122 | + ) |
| 123 | + Tdα = Mooncake.rdata_type(Mooncake.tangent_type(typeof(α))) |
| 124 | + Tdα === NoRData && return NoRData() |
| 125 | + |
| 126 | + AB = TO.tensorcontract(A, pA, conjA, B, pB, conjB, pAB, One(), ba...) |
| 127 | + Δα = inner(AB, ΔC) |
| 128 | + return Mooncake._rdata(Δα) |
| 129 | +end |
| 130 | + |
| 131 | +function tensorcontract_pullback_Δβ(ΔC, C, β) |
| 132 | + Tdβ = Mooncake.rdata_type(Mooncake.tangent_type(typeof(β))) |
| 133 | + Tdβ === NoRData && return NoRData() |
| 134 | + |
| 135 | + Δβ = inner(C, ΔC) |
| 136 | + return Mooncake._rdata(Δβ) |
| 137 | +end |
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