ElementwiseParallelProof.output_mapping: 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 502-516 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=502&end_line=516

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/refinement.bend as Refinement
import bendtorch-core@0.1.0.0/src/storage/main.bend as Storage
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/elementwise.bend as Elementwise
import bendtorch-core@0.1.0.0/src/tensor/elementwise_totality.bend as Totality

def output_mapping(+operation: Elementwise.Operation, +plan: Shape.BroadcastPlan, +depth: Nat, +length: Nat,
  -valid: {Storage.bounds(depth, length) == True{} : Bool}, -exact: {length == Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan))) : Nat},
  -left: Core.Dynamic, -right: Core.Dynamic, taken_left: Core.Dynamic & Array<F32>, taken_right: Core.Dynamic & Array<F32>,
  -left_taken: Taken<left, taken_left>, -right_taken: Taken<right, taken_right>,
  +left_fits: {Totality.dimensions(left) == Shape.dimensions(Shape.left_shape(plan)) : List<&2, U32>},
  +right_fits: {Totality.dimensions(right) == Shape.dimensions(Shape.right_shape(plan)) : List<&2, U32>}) ->
  Elementwise.MappingModel<operation, plan, left, right, Elementwise.parallel_output(operation, plan, depth, length, valid, exact, taken_left, taken_right)>:
  (kept_left, la) = taken_left
  (kept_right, ra) = taken_right
  Elementwise.MappingModel{index => bound =>
    {\{Taken: dl => left_valid => left_reads => left_same =>
      {\{Taken: dr => right_valid => right_reads => right_same =>
        {\{Fact: equal => equal} : Fact<({Model.observe(F32, depth, Elementwise.build(depth, Elementwise.splits(depth), operation, plan, length, 0n, la, ra), Refinement.route(depth, index)) == Elementwise.expected(operation, plan, left, right, index) : Maybe<&2, F32>})> -> {Model.observe(F32, depth, Elementwise.build(depth, Elementwise.splits(depth), operation, plan, length, 0n, la, ra), Refinement.route(depth, index)) == Elementwise.expected(operation, plan, left, right, index) : Maybe<&2, F32>}}(
          output_cell(operation, plan, depth, length, valid, exact, left, right, la, ra, dl, dr, left_valid, right_valid, left_reads, right_reads,
            left_fits, right_fits, index, bound))} : Taken<right, (kept_right, ra)> -> {Model.observe(F32, depth, Elementwise.build(depth, Elementwise.splits(depth), operation, plan, length, 0n, la, ra), Refinement.route(depth, index)) == Elementwise.expected(operation, plan, left, right, index) : Maybe<&2, F32>}}(right_taken)} : Taken<left, (kept_left, la)> -> {Model.observe(F32, depth, Elementwise.build(depth, Elementwise.splits(depth), operation, plan, length, 0n, la, ra), Refinement.route(depth, index)) == Elementwise.expected(operation, plan, left, right, index) : Maybe<&2, F32>}}(left_taken)}

Uses (29):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  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
  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=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=dimensions
  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=logical_numel
  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/storage/main.bend&name=bounds
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=observe
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/refinement.bend&name=route
  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/elementwise.bend&name=MappingModel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=Operation
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=build
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=expected
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=parallel_output
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=splits
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend&name=Fact
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend&name=Taken
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend&name=output_cell
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_totality.bend&name=dimensions