ReductionPROOF.sum_decision_status: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend as ReductionPROOF
Lines 771-788 of bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend&start_line=771&end_line=788

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/reduction.bend as Reduction
import bendtorch-core@0.1.0.0/src/tensor/math_totality.bend as Totality
import bendtorch-core@0.1.0.0/src/tensor/transform_LAWS.bend as TransformLaws
import bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend as TransformTotality

def sum_decision_status(+fuel: Nat, +shape: Shape.Shape, +cursor: Nat, +accumulator: F32,
  decision: Shape.BoolCase<Nat.is_eq(U32.to_nat(U32.from_nat(cursor)), cursor)>,
  tensor: Core.Tensor<shape>,
  -exact: {U32.to_nat(U32.from_nat(cursor)) == cursor : Nat},
  -inside: {Nat.is_lt(U32.to_nat(U32.from_nat(cursor)), Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool},
  -rec: @tensor: Core.Tensor<shape> -> @+value: F32 -> Totality.Status<Core.Error, Core.Tensor<shape> & F32,
    Reduction.natural_sum_loop(fuel, shape, tensor, 1n+cursor, value)>) ->
  Totality.Status<Core.Error, Core.Tensor<shape> & F32, Reduction.sum_decided(shape,
    tensor => value => Reduction.natural_sum_loop(fuel, shape, tensor, 1n+cursor, value), tensor, cursor, U32.from_nat(cursor), accumulator, decision)>:
  match decision:
    case Shape.BFalse{equal}:
      Totality.Status{Empty.absurd({False{} == True{} : Bool}, conversion_clash(U32.to_nat(U32.from_nat(cursor)), cursor, exact, equal))}
    case Shape.BTrue{equal}:
      sum_read_status(fuel, shape, cursor, accumulator, Core.read_flat(shape, tensor, U32.from_nat(cursor)),
        {\{TransformTotality.ReadSuccess: successful => successful} :
          TransformTotality.ReadSuccess<shape, tensor, U32.from_nat(cursor)> ->
            {TransformTotality.read_succeeded(shape, Core.read_flat(shape, tensor, U32.from_nat(cursor))) == True{} : Bool}}(
              TransformLaws.tensor_read_valid_success(shape, tensor, U32.from_nat(cursor), inside)), rec)

Uses (24):
  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=F32
  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_eq
  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=U32.from_nat
  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=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=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=Error
  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=read_flat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/math_totality.bend&name=Status
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction.bend&name=natural_sum_loop
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction.bend&name=sum_decided
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend&name=conversion_clash
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend&name=sum_read_status
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_LAWS.bend&name=tensor_read_valid_success
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend&name=ReadSuccess
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend&name=read_succeeded