ElementwiseParallelProof.output_offset: 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 422-429 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=422&end_line=429

import Base
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/arith.bend as Arith
import bendtorch-core@0.1.0.0/src/storage/main.bend as Storage
import bendtorch-core@0.1.0.0/src/storage/route.bend as Route

def output_offset(+depth: Nat, +length: Nat, +index: U32, +valid: {Storage.bounds(depth, length) == True{} : Bool},
  +inside: {Nat.is_lt(U32.to_nat(index), length) == True{} : Bool}) ->
  {U32.to_nat(index) == Model.offset(depth, Refinement.route(depth, index)) : Nat}:
  +rest = Arith.and_right(Nat.is_le(depth, 20n), Bool.and(Nat.is_lt(0n, length), Nat.is_le(length, Model.capacity(depth))), valid)
  Route.route_offset(depth, index,
    Arith.and_left(Nat.is_le(depth, 20n), Bool.and(Nat.is_lt(0n, length), Nat.is_le(length, Model.capacity(depth))), valid),
    Arith.lt_le_trans(U32.to_nat(index), length, Model.capacity(depth), inside,
      Arith.and_right(Nat.is_lt(0n, length), Nat.is_le(length, Model.capacity(depth)), rest)))

Uses (15):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  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_le
  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=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/storage/arith.bend&name=and_left
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=and_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=lt_le_trans
  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=capacity
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=offset
  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/storage/route.bend&name=route_offset