TransformTotality.TransposeRestoration: type of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend as TransformTotality
Lines 148-161 of bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend&start_line=148&end_line=161

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/layout.bend as Layout
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/transforms.bend as Transforms

type TransposeRestoration<-input: Shape.Shape, -original: Core.Tensor<input>, -a: U32, -b: U32> is Data:
  TransposeRestoration{-first: Layout.Plan<input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0)>,
    -retained: Core.Tensor<input>, -middle: Core.Tensor<Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first)>,
    -first_exact: {(retained, Done{Core.Packed{Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first), middle}}) ==
      Transforms.transpose_copy(input, original, a, b) : Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Dynamic>},
    -second: Layout.Plan<Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first), inverse_axes(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0))>,
    -middle_retained: Core.Tensor<Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first)>,
    -restored: Core.Tensor<Layout.output(Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first), inverse_axes(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0)), second)>,
    -second_exact: {(Core.Packed{Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first), middle_retained},
      Done{Core.Packed{Layout.output(Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first), inverse_axes(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0)), second), restored}}) ==
        Transforms.transpose_dynamic(Core.Packed{Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first), middle}, a, b) : Core.Dynamic & Result<&2, &1, Transforms.Error, Core.Dynamic>},
    -dimensions: {Shape.dimensions(Layout.output(Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first), inverse_axes(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0)), second)) == Shape.dimensions(input) : List<&2, U32>},
    -linear: @+index: U32 -> @-inside: {Nat.is_lt(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(input))) == True{} : Bool} ->
      {Core.observe(Layout.output(Layout.output(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0), first), inverse_axes(input, Layout.transpose_axes(Shape.dimensions(input), a, b, 0)), second), restored, index) == Core.observe(input, original, index) : Maybe<&2, F32>}}

Uses (23):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=logical_numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Tensor
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=observe
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=output
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=transpose_axes
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend&name=inverse_axes
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=transpose_copy
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=transpose_dynamic