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Add some very basic GADT constraints from type cases
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import scala.compiletime.ops.string.+ | ||
import scala.compiletime.ops.any | ||
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type Index = Int & Singleton | ||
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sealed trait Indices | ||
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final case class :::[+H <: Index, +T <: Indices](head: H, tail: T) extends Indices: | ||
override def toString = s"$head ::: $tail" | ||
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sealed trait INil extends Indices | ||
case object INil extends INil | ||
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object Indices: | ||
type ToString[X <: Indices] <: String = X match | ||
case INil => "INil" | ||
case head ::: tail => any.ToString[head] + " ::: " + ToString[tail] | ||
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type Contains[Haystack <: Indices, Needle <: Index] <: Boolean = Haystack match | ||
case head ::: tail => head match | ||
case Needle => true | ||
case _ => Contains[tail, Needle] | ||
case INil => false | ||
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type RemoveValue[RemoveFrom <: Indices, Value <: Index] <: Indices = RemoveFrom match | ||
case INil => INil | ||
case head ::: tail => head match | ||
case Value => RemoveValue[tail, Value] | ||
case _ => head ::: RemoveValue[tail, Value] |
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import scala.compiletime.ops.int.{S, +, <, <=, *} | ||
import scala.compiletime.ops.boolean.&& | ||
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type Dimension = Int & Singleton | ||
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sealed trait Shape extends Product with Serializable | ||
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final case class #:[+H <: Dimension, +T <: Shape](head: H, tail: T) extends Shape: | ||
override def toString = (head: Any) match | ||
case _ #: _ => s"($head) #: $tail" | ||
case _ => s"$head #: $tail" | ||
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sealed trait SNil extends Shape | ||
case object SNil extends SNil | ||
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object Shape: | ||
def scalar: SNil = SNil | ||
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type Concat[X <: Shape, Y <: Shape] <: Shape = X match | ||
case SNil => Y | ||
case head #: tail => head #: Concat[tail, Y] | ||
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type Reverse[X <: Shape] <: Shape = X match | ||
case SNil => SNil | ||
case head #: tail => Concat[Reverse[tail], head #: SNil] | ||
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type NumElements[X <: Shape] <: Int = X match | ||
case SNil => 1 | ||
case head #: tail => head * NumElements[tail] | ||
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type Rank[X <: Shape] <: Int = X match | ||
case SNil => 0 | ||
case head #: tail => Rank[tail] + 1 | ||
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type IsEmpty[X <: Shape] <: Boolean = X match | ||
case SNil => true | ||
case _ #: _ => false | ||
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type Head[X <: Shape] <: Dimension = X match { case head #: _ => head } | ||
type Tail[X <: Shape] <: Shape = X match { case _ #: tail => tail } | ||
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type Reduce[S <: Shape, Axes <: None.type | Indices] <: Shape = Axes match | ||
case None.type => SNil | ||
case Indices => ReduceLoop[S, Axes, 0] | ||
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protected type ReduceLoop[RemoveFrom <: Shape, ToRemove <: Indices, I <: Index] <: Shape = RemoveFrom match | ||
case head #: tail => Indices.Contains[ToRemove, I] match | ||
case true => ReduceLoop[tail, Indices.RemoveValue[ToRemove, I], S[I]] | ||
case false => head #: ReduceLoop[tail, ToRemove, S[I]] | ||
case SNil => ToRemove match { case INil => SNil } | ||
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type WithinBounds[I <: Index, S <: Shape] = (0 <= I && I < Rank[S]) | ||
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type RemoveIndex[RemoveFrom <: Shape, I <: Index] <: Shape = WithinBounds[I, RemoveFrom] match | ||
case true => RemoveIndexLoop[RemoveFrom, I, 0] | ||
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protected type RemoveIndexLoop[RemoveFrom <: Shape, I <: Index, Current <: Index] <: Shape = RemoveFrom match | ||
case head #: tail => Current match | ||
case I => tail | ||
case _ => head #: RemoveIndexLoop[tail, I, S[Current]] | ||
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type Map[X <: Shape, F[_ <: Dimension] <: Dimension] <: Shape = X match | ||
case SNil => SNil | ||
case head #: tail => F[head] #: Map[tail, F] | ||
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type FoldLeft[B, X <: Shape, Z <: B, F[_ <: B, _ <: Int] <: B] <: B = X match | ||
case SNil => Z | ||
case head #: tail => FoldLeft[B, tail, F[Z, head], F] |
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import scala.compiletime.ops.int.S | ||
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type DimensionDenotation = String & Singleton | ||
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sealed trait TensorShapeDenotation extends Product with Serializable | ||
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final case class ##:[+H <: DimensionDenotation, +T <: TensorShapeDenotation](head: H, tail: T) extends TensorShapeDenotation: | ||
override def toString = (head: Any) match | ||
case _ ##: _ => s"($head) ##: $tail" | ||
case _ => s"$head ##: $tail" | ||
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sealed trait TSNil extends TensorShapeDenotation | ||
case object TSNil extends TSNil | ||
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object TensorShapeDenotation: | ||
type Reduce[S <: TensorShapeDenotation, Axes <: None.type | Indices] <: TensorShapeDenotation = Axes match | ||
case None.type => TSNil | ||
case Indices => ReduceLoop[S, Axes, 0] | ||
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protected type ReduceLoop[RemoveFrom <: TensorShapeDenotation, ToRemove <: Indices, I <: Index] <: TensorShapeDenotation = RemoveFrom match | ||
case head ##: tail => Indices.Contains[ToRemove, I] match | ||
case true => ReduceLoop[tail, Indices.RemoveValue[ToRemove, I], S[I]] | ||
case false => head ##: ReduceLoop[tail, ToRemove, S[I]] | ||
case TSNil => ToRemove match { case INil => TSNil } |
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import scala.compiletime.ops.int.* | ||
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object Tensors: | ||
import Shape.Reverse | ||
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type Supported = Int | Long | Float | Double | Byte | Short | Boolean | String | ||
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type TensorTypeDenotation = String & Singleton | ||
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type Axes = Tuple3[TensorTypeDenotation, TensorShapeDenotation, Shape] | ||
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opaque type Tensor[T <: Supported, +Ax <: Axes] = Tuple2[Array[T], Ax] | ||
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type SparseTensor[T <: Supported, A <: Axes] = Tensor[T, A] | ||
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type KeepOrReduceDims[S <: Shape, AxisIndices <: None.type | Indices, KeepDims <: (Boolean & Singleton)] <: Shape = KeepDims match | ||
case true => ReduceKeepDims[S, AxisIndices] | ||
case false => Shape.Reduce[S, AxisIndices] | ||
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type KeepOrReduceDimDenotations[Td <: TensorShapeDenotation, AxisIndices <: None.type | Indices, KeepDims <: (Boolean & Singleton)] <: TensorShapeDenotation = KeepDims match | ||
case true => Td | ||
case false => TensorShapeDenotation.Reduce[Td, AxisIndices] | ||
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type ReduceKeepDims[S <: Shape, AxisIndices <: None.type | Indices] <: Shape = AxisIndices match | ||
case None.type => SNil | ||
case Indices => ReduceKeepDimsLoop[S, AxisIndices, 0] | ||
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protected type ReduceKeepDimsLoop[ReplaceFrom <: Shape, ToReplace <: Indices, I <: Index] <: Shape = ReplaceFrom match | ||
case head #: tail => Indices.Contains[ToReplace, I] match | ||
case true => 1 #: ReduceKeepDimsLoop[tail, Indices.RemoveValue[ToReplace, I], S[I]] | ||
case false => head #: ReduceKeepDimsLoop[tail, ToReplace, S[I]] | ||
case SNil => ToReplace match { case INil => SNil } | ||
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type AddGivenAxisSize[S <: Shape, S1 <: Shape, AxisIndices <: None.type | Indices] <: Shape = AxisIndices match | ||
case None.type => SNil | ||
case Indices => AddGivenAxisSizeLoop[S, S1, AxisIndices, 0] | ||
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protected type AddGivenAxisSizeLoop[First <: Shape, Second <: Shape, AxisIndex <: Indices, I <: Index] <: Shape = First match | ||
case head #: tail => Indices.Contains[AxisIndex, I] match | ||
case true => Second match | ||
case secondHead #: secondTail => (head + secondHead) #: AddGivenAxisSizeLoop[tail, secondTail, Indices.RemoveValue[AxisIndex, I], S[I]] | ||
case SNil => AxisIndex match { case INil => SNil } | ||
case false => Second match | ||
case secondHead #: secondTail => (head) #: AddGivenAxisSizeLoop[tail, secondTail, AxisIndex, S[I]] | ||
case SNil => AxisIndex match { case INil => SNil } | ||
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type UnsqueezeShape[S <: Shape, AxisIndex <: None.type | Indices] <: Shape = AxisIndex match | ||
case None.type => SNil | ||
case Indices => UnsqueezeShapeLoop[S, AxisIndex, 0] | ||
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protected type UnsqueezeShapeLoop[ToUnsqueeze <: Shape, AxisIndex <: Indices, I <: Index] <: Shape = ToUnsqueeze match | ||
case head #: tail => Indices.Contains[AxisIndex, I] match | ||
case true => 1 #: head #: UnsqueezeShapeLoop[tail, Indices.RemoveValue[AxisIndex, I], S[I]] | ||
case false => head #: UnsqueezeShapeLoop[tail, AxisIndex, S[I]] | ||
case SNil => AxisIndex match { case INil => SNil } | ||
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type GatheredShape[S <: Shape, AxisIndex <: None.type | Indices, AxisIndices <: Indices] <: Shape = AxisIndex match | ||
case None.type => SNil | ||
case Indices => GatheredShapeLoop[S, AxisIndex, 0, AxisIndices] | ||
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protected type GatheredShapeLoop[ToGather <: Shape, AxisIndex <: Indices, I <: Index, AxisIndices <: Indices] <: Shape = ToGather match | ||
case head #: tail => Indices.Contains[AxisIndex, I] match | ||
case true => IndicesSize[AxisIndices] #: GatheredShapeLoop[tail, Indices.RemoveValue[AxisIndex, I], S[I], AxisIndices] | ||
case false => head #: GatheredShapeLoop[tail, AxisIndex, S[I], AxisIndices] | ||
case SNil => AxisIndex match { case INil => SNil } | ||
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type IndicesSize[AxisIndices <: Indices] = IndicesSizeLoop[AxisIndices, 0] | ||
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type IndicesSizeLoop[AxisIndices <: Indices, Acc <: Dimension] <: Dimension = AxisIndices match | ||
case head ::: tail => IndicesSizeLoop[tail, S[Acc]] | ||
case INil => Acc | ||
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type FlattenedShape[S <: Shape, AxisIndex <: None.type | Indices] <: Shape = AxisIndex match | ||
case None.type => SNil | ||
case Indices => FlattenedShapeLoop[S, AxisIndex, 0, 1] | ||
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protected type FlattenedShapeLoop[ToFlatten <: Shape, AxisIndex <: Indices, I <: Index, Acc <: Index] <: Shape = ToFlatten match | ||
case head #: tail => Indices.Contains[AxisIndex, I] match | ||
case true => Acc #: FlattenedShapeLoop[tail, Indices.RemoveValue[AxisIndex, I], S[I], head] | ||
case false => FlattenedShapeLoop[tail, AxisIndex, S[I], head * Acc] | ||
case SNil => AxisIndex match { case INil => Acc #: SNil } | ||
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type SlicedShape[AxisIndicesStarts <: None.type | Indices, AxisIndicesEnds <: None.type | Indices] <: Shape = AxisIndicesStarts match | ||
case None.type => SNil | ||
case Indices => AxisIndicesEnds match | ||
case None.type => SNil | ||
case Indices => SlicedShapeLoop[AxisIndicesStarts, AxisIndicesEnds] | ||
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protected type SlicedShapeLoop[Starts <: Indices, Ends <: Indices] <: Shape = Starts match | ||
case head ::: tail => Ends match | ||
case endsHead ::: endsTail => (endsHead - head) #: SlicedShapeLoop[tail, endsTail] | ||
case INil => SNil | ||
case INil => Ends match { case INil => SNil } | ||
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type PaddedShape[PadFrom <: Shape, AxisBefore <: None.type | Shape, AxisAfter <: None.type | Shape] <: Shape = AxisBefore match | ||
case None.type => PadFrom | ||
case Shape => AxisAfter match | ||
case None.type => PadFrom | ||
case Shape => Reverse[PaddedShapeLoop[Reverse[PadFrom], Reverse[AxisBefore], Reverse[AxisAfter]]] | ||
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protected type PaddedShapeLoop[PadFrom <: Shape, Before <: Shape, After <: Shape] <: Shape = Before match | ||
case head #: tail => After match | ||
case afterHead #: afterTail => PadFrom match | ||
case padFromHead #: padFromTail => (head + padFromHead + afterHead) #: PaddedShapeLoop[padFromTail, tail, afterTail] | ||
case SNil => SNil | ||
case SNil => SNil | ||
case SNil => After match | ||
case SNil => PadFrom match | ||
case padFromHead #: padFromTail => padFromHead #: PaddedShapeLoop[padFromTail, SNil, SNil] | ||
case SNil => SNil | ||
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type TiledShape[TileFrom <: Shape, AxisRepeats <: None.type | Indices] <: Shape = AxisRepeats match | ||
case None.type => SNil | ||
case Indices => TiledShapeLoop[TileFrom, AxisRepeats] | ||
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protected type TiledShapeLoop[TileFrom <: Shape, Repeats <: Indices] <: Shape = Repeats match | ||
case head ::: tail => TileFrom match | ||
case tileFromHead #: tileFromTail => (head * tileFromHead) #: TiledShapeLoop[tileFromTail, tail] | ||
case SNil => SNil | ||
case INil => SNil | ||
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type PoolShape[From <: Shape, KernelShape <: None.type | Shape] <: Shape = KernelShape match | ||
case None.type => SNil | ||
case Shape => Reverse[PoolShapeLoop[Reverse[From], Reverse[KernelShape]]] | ||
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protected type PoolShapeLoop[From <: Shape, KernelShape <: Shape] <: Shape = KernelShape match | ||
case head #: tail => From match | ||
case fromHead #: fromTail => (fromHead - head + 1) #: PoolShapeLoop[fromTail, tail] | ||
case SNil => SNil | ||
case SNil => From |
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Original file line number | Diff line number | Diff line change |
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import scala.compiletime.ops.int.* | ||
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type Index = Int & Singleton | ||
type Dimension = Int & Singleton | ||
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sealed trait Indices extends Product with Serializable | ||
sealed trait Shape extends Product with Serializable | ||
final case class :::[+H <: Index, +T <: Indices](head: H, tail: T) extends Indices | ||
final case class #:[+H <: Dimension, +T <: Shape ](head: H, tail: T) extends Shape | ||
sealed trait INil extends Indices; case object INil extends INil | ||
sealed trait SNil extends Shape; case object SNil extends SNil | ||
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object Ts: | ||
type ReduceKeepDims[S <: Shape, AxisIndices <: None.type | Indices] <: Shape = AxisIndices match | ||
case None.type => SNil | ||
case Indices => ReduceKeepDimsLoop[S, AxisIndices, 0] | ||
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protected type ReduceKeepDimsLoop[ReplaceFrom <: Shape, ToReplace <: Indices, I <: Index] <: Shape = ReplaceFrom match | ||
case head #: tail => ReduceKeepDimsLoop[tail, ToReplace, S[I]] | ||
case SNil => ToReplace match { case INil => SNil } |