ElementwiseParallelProof.walk_pair: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend as ElementwiseParallelProof
Lines 341-354 of bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend&start_line=341&end_line=354

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/shape/flat.bend as Flat
import bendtorch-core@0.1.0.0/src/tensor/elementwise.bend as Elementwise

def walk_pair(+plan: Shape.BroadcastPlan,
  +map: Shape.Index<Shape.extents(Shape.left_shape(plan)), Shape.extents(Shape.right_shape(plan)), Shape.extents(Shape.output_shape(plan))>,
  +value: Nat, +bound: {True{} == Nat.is_lt(value, Shape.elements(Shape.output_shape(plan))) : Bool}) ->
  {(Shape.index_value(Shape.left_shape(plan), Flat.project_left_index(plan, map, Shape.FIndex{value, bound})),
    Shape.index_value(Shape.right_shape(plan), Flat.project_right_index(plan, map, Shape.FIndex{value, bound}))) ==
    (U32.from_nat(Elementwise.left_walk(Shape.extents(Shape.left_shape(plan)), Shape.extents(Shape.right_shape(plan)), Shape.extents(Shape.output_shape(plan)), map, value)),
      U32.from_nat(Elementwise.right_walk(Shape.extents(Shape.left_shape(plan)), Shape.extents(Shape.right_shape(plan)), Shape.extents(Shape.output_shape(plan)), map, value))) : U32 & U32}:
  match map:
    case Shape.Indexed{rows, exact}:
      {==}
    case Shape.Unindexed{zero}:
      Empty.absurd({(Shape.index_value(Shape.left_shape(plan), Flat.project_left_index(plan, Shape.Unindexed{zero}, Shape.FIndex{value, bound})),
        Shape.index_value(Shape.right_shape(plan), Flat.project_right_index(plan, Shape.Unindexed{zero}, Shape.FIndex{value, bound}))) == (U32.from_nat(0n), U32.from_nat(0n)) : U32 & U32},
        Flat.hollow(Shape.output_shape(plan), value, zero, bound))

Uses (22):
  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=Nat
  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=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.from_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BroadcastPlan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=FlatIndex
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Index
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=elements
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=extents
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=index_value
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=left_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=output_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=right_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/flat.bend&name=hollow
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/flat.bend&name=project_left_index
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/flat.bend&name=project_right_index
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=left_walk
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=right_walk