def step_checked_mapping

bendtorch-core@0.1.0.0 · src/tensor/core_PROOF.bend:147

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/main.bend as Storage
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle
import bendtorch-core@0.1.0.0/src/tensor/elementwise.bend as Elementwise

147def step_checked_mapping(-shape: Shape.Shape, +d: Nat, +n: Nat, array: Array<F32>, +i: U32, +value: F32,
148  -left: Core.Dynamic, -right: Core.Dynamic,
149  balanced: Model.Balanced(F32, d, array), -valid: {Storage.bounds(d, n) == True{} : Bool},
150  -exact: {n == Shape.logical_numel(Shape.dimensions(shape)) : Nat}, allowed: Bool,
151  -decision: {allowed == Nat.is_lt(U32.to_nat(i), n) : Bool},
152  -same: {Storage.set_checked(d, n, array, i, value, allowed, decision, balanced, valid) ==
153    Storage.set(Storage.Owned{d, n, array, balanced, valid}, i, value) : Storage.Storage & Result<&2, &2, Storage.Error, Unit>},
154  accepted: {allowed == True{} : Bool}) ->
155  {Elementwise.step_observe(shape, Elementwise.step_write(shape, left, right,
156    Core.write_result(shape, Storage.Owned{d, n, array, balanced, valid}, exact, i, value,
157      Storage.set_checked(d, n, array, i, value, allowed, decision, balanced, valid), same)), i) == Some{value} : Maybe<&2, F32>}:
158  match allowed:
159    case False{}:
160      Empty.absurd({Elementwise.step_observe(shape, Elementwise.step_write(shape, left, right,
161        Core.write_result(shape, Storage.Owned{d, n, array, balanced, valid}, exact, i, value,
162          Storage.set_checked(d, n, array, i, value, False{}, decision, balanced, valid), same)), i) == Some{value} : Maybe<&2, F32>},
163        Lifecycle.false_true(Equal.sym(Bool, False{}, True{}, accepted)))
164    case True{}:
165      StorageLaws.primitive_write_read(F32, d, array, i, value, balanced)