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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,121 @@ | ||
| """ | ||
| AbstractLazyOperator | ||
| Supertype for "lazy operators", i.e., operators that can be called without any | ||
| arguments by users, as long as they appear in broadcast expressions that contain | ||
| at least one `Field`. If `lazy_op` is an `AbstractLazyOperator`, the expression | ||
| `lazy_op.()` will internally be translated to `non_lazy_op.(fields...)`, as long | ||
| as it appears in a broadcast expression with at least one `Field`. This | ||
| translation is done by the function `replace_lazy_operator(space, lazy_op)`, | ||
| which must be implemented by every subtype of `AbstractLazyOperator`. | ||
| """ | ||
| abstract type AbstractLazyOperator end | ||
|
|
||
| struct LazyOperatorStyle <: Base.Broadcast.BroadcastStyle end | ||
|
|
||
| Base.Broadcast.broadcasted(op::AbstractLazyOperator) = | ||
| Base.Broadcast.broadcasted(LazyOperatorStyle(), op) | ||
|
|
||
| # Broadcasting over an AbstractLazyOperator and either a Ref, a Tuple, a Field, | ||
| # an Operator, or another AbstractLazyOperator involves using LazyOperatorStyle. | ||
| Base.Broadcast.BroadcastStyle( | ||
| ::LazyOperatorStyle, | ||
| ::Union{ | ||
| Base.Broadcast.AbstractArrayStyle{0}, | ||
| Base.Broadcast.Style{Tuple}, | ||
| Fields.AbstractFieldStyle, | ||
| LazyOperatorStyle, | ||
| }, | ||
| ) = LazyOperatorStyle() | ||
|
|
||
| struct LazyOperatorBroadcasted{F, A} <: | ||
| Operators.OperatorBroadcasted{LazyOperatorStyle} | ||
| f::F | ||
| args::A | ||
| end | ||
|
|
||
| # TODO: This definition of Base.Broadcast.broadcasted results in 2 additional | ||
| # method invalidations when using Julia 1.8.5. However, if we were to delete it, | ||
| # we would also need to replace the following specializations on | ||
| # LazyOperatorBroadcasted with specializations on Base.Broadcast.Broadcasted. | ||
| # Specifically, we would need to modify Base.Broadcast.materialize so that it | ||
| # specializes on Base.Broadcast.Broadcasted{LazyOperatorStyle}, and this would | ||
| # result in 11 invalidations instead of 2. | ||
| Base.Broadcast.broadcasted(::LazyOperatorStyle, f::F, args...) where {F} = | ||
| LazyOperatorBroadcasted(f, args) | ||
|
|
||
| function Base.Broadcast.materialize(bc::LazyOperatorBroadcasted) | ||
| space = largest_space(bc) | ||
| isnothing(space) && error("Cannot materialize broadcast expression with \ | ||
| AbstractLazyOperator because it does not contain any Fields") | ||
| return Base.Broadcast.materialize(replace_lazy_operators(space, bc)) | ||
| end | ||
|
|
||
| Base.Broadcast.materialize!(dest::Fields.Field, bc::LazyOperatorBroadcasted) = | ||
| Base.Broadcast.materialize!(dest, replace_lazy_operators(axes(dest), bc)) | ||
|
|
||
| replace_lazy_operators(_, arg) = arg | ||
| replace_lazy_operators(space, bc::LazyOperatorBroadcasted) = | ||
| bc.f isa AbstractLazyOperator ? replace_lazy_operator(space, bc.f) : | ||
| Base.Broadcast.broadcasted( | ||
| bc.f, | ||
| replace_lazy_operators_args(space, bc.args...)..., | ||
| ) | ||
|
|
||
| replace_lazy_operators_args(_) = () | ||
| replace_lazy_operators_args(space, arg, args...) = ( | ||
| replace_lazy_operators(space, arg), | ||
| replace_lazy_operators_args(space, args...)..., | ||
| ) | ||
|
|
||
| """ | ||
| replace_lazy_operator(space, lazy_op) | ||
| Generates an instance of `Base.AbstractBroadcasted` that corresponds to the | ||
| expression `lazy_op.()`, where the broadcast in which this expression appears is | ||
| being evaluated on the given `space`. Note that the staggering (`CellCenter` or | ||
| `CellFace`) of this `space` depends on the specifics of the broadcast and is not | ||
| predetermined. | ||
| """ | ||
| replace_lazy_operator(_, ::AbstractLazyOperator) = | ||
| error("Every subtype of AbstractLazyOperator must implement a method for | ||
| replace_lazy_operator(space, lazy_op)") | ||
|
|
||
| largest_space(_) = nothing | ||
| largest_space(field::Fields.Field) = axes(field) | ||
| largest_space(bc::Base.AbstractBroadcasted) = largest_space_args(bc.args...) | ||
|
|
||
| largest_space_args() = nothing | ||
| largest_space_args(arg, args...) = | ||
| larger_space(largest_space(arg), largest_space_args(args...)) | ||
|
|
||
| larger_space(::Nothing, ::Nothing) = nothing | ||
| larger_space(space1, ::Nothing) = space1 | ||
| larger_space(::Nothing, space2) = space2 | ||
| larger_space(space1::S, ::S) where {S} = space1 # Neither space is larger. | ||
| larger_space( | ||
| space1::Spaces.FiniteDifferenceSpace, | ||
| ::Spaces.FiniteDifferenceSpace, | ||
| ) = space1 # The staggering does not matter here, so neither space is larger. | ||
| larger_space( | ||
| space1::Spaces.ExtrudedFiniteDifferenceSpace, | ||
| ::Spaces.ExtrudedFiniteDifferenceSpace, | ||
| ) = space1 # The staggering does not matter here, so neither space is larger. | ||
| larger_space( | ||
| space1::Spaces.ExtrudedFiniteDifferenceSpace, | ||
| ::Spaces.FiniteDifferenceSpace, | ||
| ) = space1 # The types indicate that space2 is a subspace of space1. | ||
| larger_space( | ||
| ::Spaces.FiniteDifferenceSpace, | ||
| space2::Spaces.ExtrudedFiniteDifferenceSpace, | ||
| ) = space2 # The types indicate that space1 is a subspace of space2. | ||
| larger_space( | ||
| space1::Spaces.ExtrudedFiniteDifferenceSpace, | ||
| ::Spaces.AbstractSpectralElementSpace, | ||
| ) = space1 # The types indicate that space2 is a subspace of space1. | ||
| larger_space( | ||
| ::Spaces.AbstractSpectralElementSpace, | ||
| space2::Spaces.ExtrudedFiniteDifferenceSpace, | ||
| ) = space2 # The types indicate that space1 is a subspace of space2. | ||
| larger_space(::S1, ::S2) where {S1, S2} = | ||
| error("Mismatched spaces ($(S1.name.name) and $(S2.name.name))") |
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