BroadcastProof.broadcast_pointwise: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast_proof.bend as BroadcastProof
Lines 89-106 of bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast_proof.bend&start_line=89&end_line=106

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
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
import bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend as Conversion
import bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend as Replayed
import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend as Proof
import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_records.bend as Records
import bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast.bend as Broadcast

def broadcast_pointwise(+operation: Elementwise.Operation, +plan: Shape.BroadcastPlan,
  +left_fill: F32, +left_ops: List<&2, StorageLaws.Op>,
  -left_fits: {Lifecycle.logical_length(Replayed.storage(Shape.left_shape(plan), left_fill, left_ops)) ==
    Shape.logical_numel(Shape.dimensions(Shape.left_shape(plan))) : Nat},
  +right_fill: F32, +right_ops: List<&2, StorageLaws.Op>,
  -right_fits: {Lifecycle.logical_length(Replayed.storage(Shape.right_shape(plan), right_fill, right_ops)) ==
    Shape.logical_numel(Shape.dimensions(Shape.right_shape(plan))) : Nat}) ->
  Records.PointwiseContract<Shape.output_shape(plan), Shape.left_shape(plan), Shape.right_shape(plan),
    index => Broadcast.cell(operation, plan, left_fill, left_ops, right_fill, right_ops, index),
    other => Replayed.value(Shape.left_shape(plan), left_fill, left_ops, other),
    other => Replayed.value(Shape.right_shape(plan), right_fill, right_ops, other),
    Broadcast.binary(operation, plan,
      Core.Packed{Shape.left_shape(plan), Core.TTensor{Replayed.storage(Shape.left_shape(plan), left_fill, left_ops), left_fits}},
      Core.Packed{Shape.right_shape(plan), Core.TTensor{Replayed.storage(Shape.right_shape(plan), right_fill, right_ops), right_fits}})>:
  +total = Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan)))
  Proof.contract(~Elementwise.Operation, ~Elementwise.scalar, ~Shape.BroadcastPlan, ~Broadcast.left_map, ~Broadcast.right_map,
    operation, plan, Shape.left_shape(plan), left_fill, left_ops, Shape.right_shape(plan), right_fill, right_ops, Shape.output_shape(plan),
    left_inside(plan, total, Conversion.le_reflexive(total)), right_inside(plan, total, Conversion.le_reflexive(total)), left_fits, right_fits)

Uses (26):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BroadcastPlan
  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=left_shape
  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/shape/core.bend&name=output_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=right_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/LAWS.bend&name=Op
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast.bend&name=binary
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast.bend&name=cell
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast.bend&name=left_map
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast.bend&name=right_map
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast_proof.bend&name=left_inside
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast_proof.bend&name=right_inside
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=contract
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_records.bend&name=PointwiseContract
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend&name=storage
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend&name=value
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic
  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/elementwise.bend&name=Operation
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=scalar
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=logical_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&name=le_reflexive