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| 1 | +import scala.compiletime.{constValueTuple, constValue} |
| 2 | + |
| 3 | +object Sums extends App: |
| 4 | + |
| 5 | + println(constValueTuple[Plus[(true, true, true), (true, true)]]) // works |
| 6 | + println(constValueTuple[Plus1[(true, true, true), (true, true)]]) // fails |
| 7 | + println(constValueTuple[ |
| 8 | + Reverse[PlusLoop[Reverse[(true, true, true)], Reverse[(true, true)], false]]] |
| 9 | + ) // also works despite it's just an unfold of `Plus1` application |
| 10 | + |
| 11 | + type Plus[A <: Tuple, B <: Tuple] <: Tuple = (A, B) match |
| 12 | + case (EmptyTuple, EmptyTuple) => EmptyTuple |
| 13 | + case (a, b) => Reverse[PlusLoop[Reverse[A], Reverse[B], false]] |
| 14 | + |
| 15 | + type Plus1[A <: Tuple, B <: Tuple] = Reverse[PlusLoop[Reverse[A], Reverse[B], false]] |
| 16 | + |
| 17 | + type ReverseLoop[A, XS <: Tuple] <: Tuple = A match { |
| 18 | + case EmptyTuple => XS |
| 19 | + case x *: xs => ReverseLoop[xs, x *: XS] |
| 20 | + } |
| 21 | + |
| 22 | + type Reverse[A] = ReverseLoop[A, EmptyTuple] |
| 23 | + |
| 24 | + type PlusTri[A, B, C] = (A, B, C) match |
| 25 | + case (false, false, false) => (false, false) |
| 26 | + case (true, false, false) | (false, true, false) | (false, false, true) => (false, true) |
| 27 | + case (true, true, false) | (true, false, true) | (false, true, true) => (true, false) |
| 28 | + case (true, true, true) => (true, true) |
| 29 | + |
| 30 | + type Inc[A <: Tuple] <: Tuple = A match |
| 31 | + case EmptyTuple => true *: EmptyTuple |
| 32 | + case t *: as => |
| 33 | + t match |
| 34 | + case false => true *: as |
| 35 | + case true => false *: Inc[as] |
| 36 | + |
| 37 | + type IncT[A <: Tuple, O <: Boolean] <: Tuple = O match |
| 38 | + case false => A |
| 39 | + case true => Inc[A] |
| 40 | + |
| 41 | + type PlusLoop[A <: Tuple, B <: Tuple, O] <: Tuple = (A, B) match |
| 42 | + case (EmptyTuple, EmptyTuple) => |
| 43 | + O match |
| 44 | + case true => (true *: EmptyTuple) |
| 45 | + case false => EmptyTuple |
| 46 | + case (EmptyTuple, B) => IncT[B, O] |
| 47 | + case (A, EmptyTuple) => IncT[A, O] |
| 48 | + case (a *: as, b *: bs) => |
| 49 | + PlusTri[a, b, O] match |
| 50 | + case (x, y) => y *: PlusLoop[as, bs, x] |
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