def output_positive

bendtorch-core@0.1.0.0 · src/tensor/contracts/binary_proofs.bend:343

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/main.bend as Storage
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith
import bendtorch-core@0.1.0.0/src/tensor/read_contract.bend as Reads

343def output_positive(+plan: Shape.BroadcastPlan, +d: Nat, +fits: {Storage.bounds(d, U32.to_nat(Shape.count(Shape.output_shape(plan)))) == True{} : Bool}) ->
344  {Nat.is_lt(0n, Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan)))) == True{} : Bool}:
345  Equal.trans(Bool, Nat.is_lt(0n, Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan)))), Nat.is_lt(0n, U32.to_nat(Shape.count(Shape.output_shape(plan)))), True{},
346    Equal.cong(Nat, Bool, x => Nat.is_lt(0n, x), Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan))), U32.to_nat(Shape.count(Shape.output_shape(plan))), Equal.sym(Nat, U32.to_nat(Shape.count(Shape.output_shape(plan))), Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan))), Reads.count_exact(Shape.output_shape(plan)))),
347    Arith.and_left(Nat.is_lt(0n, U32.to_nat(Shape.count(Shape.output_shape(plan)))), Nat.is_le(U32.to_nat(Shape.count(Shape.output_shape(plan))), Model.capacity(d)),
348      Arith.and_right(Nat.is_le(d, 20n), Bool.and(Nat.is_lt(0n, U32.to_nat(Shape.count(Shape.output_shape(plan)))), Nat.is_le(U32.to_nat(Shape.count(Shape.output_shape(plan))), Model.capacity(d))), fits)))