PermutationMapping.mapping_roundtrip_success: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend as PermutationMapping
Lines 636-654 of bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend&start_line=636&end_line=654

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/storage/arith.bend as Arith

def mapping_roundtrip_success(+input: Shape.Shape, +axes: List<&2, U32>, +plan: Layout.Plan<input, axes>, +index: U32,
  +oi: Layout.FlatIndex<Layout.output(input, axes, plan)>, +oc: Layout.CheckedCoordinate<Layout.output(input, axes, plan)>, +ic: Layout.CheckedCoordinate<input>,
  +requested: {Layout.index_value(Layout.output(input, axes, plan), oi) == index : U32},
  +decoded: {Layout.coordinate_values(Layout.output(input, axes, plan), oc) == Layout.reverse_words(Layout.unflatten_words(Layout.reverse_words(Shape.dimensions(Layout.output(input, axes, plan))), index)) : List<&2, U32>},
  +inverse: {Some{Layout.coordinate_values(input, ic)} == Layout.inverse_coordinates(Shape.dimensions(input), axes, Layout.coordinate_values(Layout.output(input, axes, plan), oc), 0) : Maybe<&2, List<&2, U32>>},
  decision: Shape.BoolCase<Layout.maybe_same(Layout.reorder(Layout.coordinate_values(input, ic), axes), Some{Layout.coordinate_values(Layout.output(input, axes, plan), oc)})>,
  roundtrip: {True{} == Layout.maybe_same(Layout.reorder(Layout.coordinate_values(input, ic), axes), Some{Layout.coordinate_values(Layout.output(input, axes, plan), oc)}) : Bool}) ->
  {Result.is_done(&2, &2, Layout.Error, Layout.Mapping<input, axes, plan, index>,
    Layout.map_roundtrip(input, axes, plan, index, oi, oc, ic, requested, decoded, inverse, decision)) == True{} : Bool}:
  match decision:
    case Shape.BFalse{equal}:
      Empty.absurd({False{} == True{} : Bool}, Arith.clash(Equal.trans(Bool, False{},
        Layout.maybe_same(Layout.reorder(Layout.coordinate_values(input, ic), axes), Some{Layout.coordinate_values(Layout.output(input, axes, plan), oc)}), True{}, equal,
        Equal.sym(Bool, True{}, Layout.maybe_same(Layout.reorder(Layout.coordinate_values(input, ic), axes), Some{Layout.coordinate_values(Layout.output(input, axes, plan), oc)}), roundtrip))))
    case Shape.BTrue{equal}:
      mapping_flat_success(input, axes, plan, index, oi, oc, ic, requested, decoded, inverse, equal,
        Layout.flatten_words(Shape.dimensions(input), Layout.coordinate_values(input, ic), 0), {==},
        Shape.bool_case(U32.is_lt(Layout.flatten_words(Shape.dimensions(input), Layout.coordinate_values(input, ic), 0), Shape.count(input))),
        checked_coordinate_flatten_bounded(input, ic))

Uses (32):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=Result.is_done
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BoolCase
  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=bool_case
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=count
  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/storage/arith.bend&name=clash
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=CheckedCoordinate
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=FlatIndex
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Mapping
  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=coordinate_values
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=flatten_words
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=index_value
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=inverse_coordinates
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=map_roundtrip
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=maybe_same
  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=reorder
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=reverse_words
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=unflatten_words
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend&name=checked_coordinate_flatten_bounded
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend&name=mapping_flat_success