def size_decided

bendtorch-core@0.1.0.0 · src/tensor/signed_PROOF.bend:438

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/signed.bend as Signed
import bendtorch-core@0.1.0.0/src/tensor/signed_LAWS.bend as Laws

438def size_decided(+count: Nat, +extents: List<&2, Signed.Extent>, +rest: Nat, +quotient: Nat,
439  exact: {Nat.mul(quotient, 1n+rest) == count : Nat}, decision: Shape.BoolCase<Nat.is_le(1n+rest, count)>) ->
440  {Signed.inferred_one(count, extents, Laws.classified(1n+rest, Nat.is_le(1n+rest, count))) ==
441    Done{Signed.filled(extents, U32.from_nat(quotient))} : Result<&2, &2, Signed.Error, List<&2, U32>>}:
442  match decision:
443    case Shape.BTrue{equal}:
444      %equal : {Signed.inferred_one(count, extents, Laws.classified(1n+rest, _)) == Done{Signed.filled(extents, U32.from_nat(quotient))} : Result<&2, &2, Signed.Error, List<&2, U32>>}
445      %Equal.sym(Nat & Nat, Nat.divmod(count, 1n+rest), (quotient, 0n), divides(count, rest, quotient, exact)) :
446        {Signed.divided(extents, _) == Done{Signed.filled(extents, U32.from_nat(quotient))} : Result<&2, &2, Signed.Error, List<&2, U32>>}
447      {==}
448    case Shape.BFalse{+equal}:
449      %equal : {Signed.inferred_one(count, extents, Laws.classified(1n+rest, _)) == Done{Signed.filled(extents, U32.from_nat(quotient))} : Result<&2, &2, Signed.Error, List<&2, U32>>}
450      size_beyond(count, extents, rest, quotient, exact, Equal.sym(Bool, False{}, Nat.is_le(1n+rest, count), equal))