LAWS.broadcast_pointwise: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend as LAWS
Lines 49-70 of bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend&start_line=49&end_line=70

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/contracts/replayed.bend as Replayed
import bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast.bend as Broadcast
import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_records.bend as Records

# Pointwise family, broadcast instance: for every operation, broadcast plan
# and pair of replayed inputs, the output has the plan's output dimensions,
# holds `Elementwise.scalar(operation, left[ia(i)], right[ib(i)])` at every
# in-bounds index i, and both returned inputs keep every word.
law broadcast_pointwise:
  for +operation: Elementwise.Operation
  for +plan: Shape.BroadcastPlan
  for +left_fill: F32
  for +left_ops: List<&2, StorageLaws.Op>
  for -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}
  for +right_fill: F32
  for +right_ops: List<&2, StorageLaws.Op>
  for -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}})>

Uses (20):
  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_proof.bend&name=broadcast_pointwise
  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/lifecycle.bend&name=logical_length