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selector.jl
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struct SelectorError{L,S} <: Exception
lookup::L
selector::S
end
function Base.showerror(io::IO, ex::SelectorError)
if isordered(ex.lookup)
println(io, "SelectorError: attempt to select $(ex.selector) from lookup $(typeof(ex.lookup)) with bounds $(bounds(ex.lookup))")
else
println(io, "SelectorError: attempt to select $(ex.selector) from lookup $(typeof(ex.lookup)) with values $(ex.lookup)")
end
end
Base.showerror(io::IO, ex::SelectorError{<:Categorical}) =
println(io, "SelectorError: attempt to select $(ex.selector) from lookup $(typeof(ex.lookup)) with categories $(ex.lookup)")
"""
Selector
Abstract supertype for all selectors.
Selectors are wrappers that indicate that passed values are not the array indices,
but values to be selected from the dimension lookup, such as `DateTime` objects for
a `Ti` dimension.
Selectors provided in DimensionalData are:
- [`At`](@ref)
- [`Between`](@ref)
- [`Touches`](@ref)
- [`Near`](@ref)
- [`Where`](@ref)
- [`Contains`](@ref)
Note: Selectors can be modified using:
- `Not`: as in `Not(At(x))`
And IntervalSets.jl `Interval` can be used instead of `Between`
- `..`
- `Interval`
- `OpenInterval`
- `ClosedInterval`
"""
abstract type Selector{T} end
val(sel::Selector) = sel.val
rebuild(sel::Selector, val) = basetypeof(sel)(val)
Base.parent(sel::Selector) = sel.val
Base.to_index(sel::Selector) = sel
abstract type Selector{T} end
"""
IntSelector <: Selector
Abstract supertype for [`Selector`](@ref)s that return a single `Int` index.
IntSelectors provided by DimensionalData are:
- [`At`](@ref)
- [`Contains`](@ref)
- [`Near`](@ref)
"""
abstract type IntSelector{T} <: Selector{T} end
"""
ArraySelector <: Selector
Abstract supertype for [`Selector`](@ref)s that return an `AbstractArray`.
ArraySelectors provided by DimensionalData are:
- [`Between`](@ref)
- [`Touches`](@ref)
- [`Where`](@ref)
"""
abstract type ArraySelector{T} <: Selector{T} end
const SelectorOrInterval = Union{Selector,Interval,Not}
const SelTuple = Tuple{SelectorOrInterval,Vararg{SelectorOrInterval}}
"""
At <: IntSelector
At(x; atol=nothing, rtol=nothing)
At(a, b; kw...)
Selector that exactly matches the value on the passed-in dimensions, or throws an error.
For ranges and arrays, every intermediate value must match an existing value -
not just the end points.
`x` can be any value to select a single index, or a `Vector` of values to select vector of indices.
If two values `a` and `b` are used, the range between them will be selected.
Keyword `atol` is passed to `isapprox`.
## Example
```jldoctest
using DimensionalData
A = DimArray([1 2 3; 4 5 6], (X(10:10:20), Y(5:7)))
A[X(At(20)), Y(At(6))]
# output
5
```
"""
struct At{T,A,R} <: IntSelector{T}
val::T
atol::A
rtol::R
end
At(val; atol=nothing, rtol=nothing) = At(val, atol, rtol)
At(; kw...) = At(nothing; kw...)
At(a, b; kw...) = At((a, b); kw...)
rebuild(sel::At, val) = At(val, sel.atol, sel.rtol)
atol(sel::At) = sel.atol
rtol(sel::At) = sel.rtol
Base.show(io::IO, x::At) = print(io, "At(", val(x), ", ", atol(x), ", ", rtol(x), ")")
struct _True end
struct _False end
function at(lookup::AbstractCyclic{Cycling}, sel::At; kw...)
cycled_sel = rebuild(sel, cycle_val(lookup, val(sel)))
return at(no_cycling(lookup), cycled_sel; kw...)
end
function at(lookup::NoLookup, sel::At; err=_True(), kw...)
v = val(sel)
r = round(Int, v)
at = atol(sel)
if isnothing(at)
v == r || _selnotfound_or_nothing(err, lookup, v)
else
at >= 0.5 && error("atol must be small than 0.5 for NoLookup")
isapprox(v, r; atol=at) || _selnotfound_or_nothing(err, lookup, v)
end
if r in lookup
return r
else
if err isa _False
return nothing
else
throw(SelectorError(lookup, sel))
end
end
end
function at(lookup::Lookup, sel::At; kw...)
at(order(lookup), span(lookup), lookup, val(sel), atol(sel), rtol(sel); kw...)
end
function at(
::Ordered, span::Regular, lookup::Lookup{<:Integer}, selval, atol::Nothing, rtol::Nothing;
err=_True()
)
x = unwrap(selval)
Δ = step(span)
i, remainder = divrem(x - first(lookup), Δ)
i += firstindex(lookup)
if remainder == 0 && checkbounds(Bool, lookup, i)
return i
else
return _selnotfound_or_nothing(err, lookup, selval)
end
end
function at(
::Ordered, ::Span, lookup::Lookup{<:IntervalSets.Interval}, selval, atol, rtol::Nothing;
err=_True()
)
x = unwrap(selval)
i = searchsortedlast(lookup, x; lt=(a, b) -> a.left < b.left)
if lookup[i].left == x.left && lookup[i].right == x.right
return i
else
return _selnotfound_or_nothing(err, lookup, selval)
end
end
function at(
::Ordered, ::Span, lookup::Lookup{<:Union{Number,Dates.AbstractTime,AbstractString}}, selval, atol, rtol::Nothing;
err=_True()
)
x = unwrap(selval)
i = searchsortedlast(lookup, x)
# Try the current index
if i == firstindex(lookup) - 1
i1 = i + 1
if checkbounds(Bool, lookup, i1) && _is_at(x, lookup[i1], atol)
return i1
else
return _selnotfound_or_nothing(err, lookup, selval)
end
elseif _is_at(x, lookup[i], atol)
return i
else
# Try again with the next index
i1 = i + 1
if checkbounds(Bool, lookup, i1) && _is_at(x, lookup[i1], atol)
return i1
else
return _selnotfound_or_nothing(err, lookup, selval)
end
end
end
# catch-all for an unordered index
function at(::Order, ::Span, lookup::Lookup, selval, atol, rtol::Nothing; err=_True())
i = findfirst(x -> _is_at(x, unwrap(selval), atol), parent(lookup))
if i === nothing
return _selnotfound_or_nothing(err, lookup, selval)
else
return i
end
end
@inline _is_at(x, y, atol) = x == y
@inline _is_at(x::Dates.AbstractTime, y::Dates.AbstractTime, atol::Dates.Period) =
x >= y - atol && x <= y + atol
@inline _is_at(x::Real, y::Real, atol::Real) = abs(x - y) <= atol
@inline _is_at(x::Real, ys::AbstractArray, atol) = any(y -> _is_at(x, y, atol), ys)
@inline _is_at(xs::AbstractArray, y::Real, atol) = any(x -> _is_at(x, y, atol), xs)
_selnotfound_or_nothing(err::_True, lookup, selval) = _selnotfound(lookup, selval)
_selnotfound_or_nothing(err::_False, lookup, selval) = nothing
@noinline _selnotfound(l, selval) = throw(SelectorError(l, selval))
"""
Near <: IntSelector
Near(x)
Near(a, b)
Selector that selects the nearest index to `x`.
With [`Points`](@ref) this is simply the lookup values nearest to the `x`,
however with [`Intervals`](@ref) it is the interval _center_ nearest to `x`.
This will be offset from the index value for `Start` and [`End`](@ref) locus.
`x` can be any value to select a single index, or a `Vector` of values to select vector of indices.
If two values `a` and `b` are used, the range between the nearsest value
to each of them will be selected.
## Example
```jldoctest
using DimensionalData
A = DimArray([1 2 3; 4 5 6], (X(10:10:20), Y(5:7)))
A[X(Near(23)), Y(Near(5.1))]
# output
4
```
"""
struct Near{T} <: IntSelector{T}
val::T
end
Near() = Near(nothing)
Near(a, b) = Near((a, b))
Base.show(io::IO, x::Near) = print(io, "Near(", val(x), ")")
function near(lookup::AbstractCyclic{Cycling}, sel::Near; kw...)
cycled_sel = rebuild(sel, cycle_val(lookup, val(sel)))
near(no_cycling(lookup), cycled_sel; kw...)
end
near(lookup::NoLookup, sel::Near{<:Real}; kw...) = max(1, min(round(Int, val(sel)), lastindex(lookup)))
function near(lookup::Lookup, sel::Near; kw...)
# We ignore err keyword in near, as these are a different class of errors
if !isregular(lookup) && !iscenter(lookup)
throw(ArgumentError("Near is not implemented for Irregular or Explicit with Start or End locus. Use Contains"))
end
val(sel) isa AbstractFloat && isnan(val(sel)) && throw(ArgumentError("NaN not allowed in `Near`"))
return near(order(lookup), sampling(lookup), lookup, sel; kw...)
end
near(order::Order, ::NoSampling, lookup::Lookup, sel::Near; kw...) = at(lookup, At(val(sel)); kw...)
function near(order::Ordered, ::Union{Intervals,Points}, lookup::Lookup, sel::Near; kw...)
# Unwrap the selector value and adjust it for interval locus if necessary
v = unwrap(val(sel))
# Allow Date and DateTime to be used interchangeably
if v isa Union{Dates.DateTime,Dates.Date}
v = eltype(lookup)(v)
end
v_adj = _adjust_locus(locus(lookup), v, lookup)
# searchsortedfirst or searchsortedlast
searchfunc = _searchfunc(order)
# Search for the value
found_i = _inbounds(searchfunc(lookup, v_adj), lookup)
# Check if this is the lowest possible value already, and return if so
if order isa ForwardOrdered
found_i <= firstindex(lookup) && return found_i
elseif order isa ReverseOrdered
found_i >= lastindex(lookup) && return found_i
end
# Find which index is nearest, the found index or previous index
prev_i = found_i - _ordscalar(order)
dist_to_prev = abs(v_adj - lookup[prev_i])
dist_to_found = abs(v_adj - lookup[found_i])
# Compare distance to the found and previous index values
# We have to use the correct >/>= for Start/End locus
lessthan = _lt(locus(lookup))
closest_i = lessthan(dist_to_prev, dist_to_found) ? prev_i : found_i
return closest_i
end
function near(order::Ordered, ::Intervals, lookup::Lookup{<:IntervalSets.Interval}, sel::Near; kw...)
throw(ArgumentError("`Near` is not yet implemented for lookups of `IntervalSets.Interval`"))
end
function near(::Unordered, ::Union{Intervals,Points}, lookup::Lookup, sel::Near; kw...)
throw(ArgumentError("`Near` has no meaning in an `Unordered` lookup"))
end
_adjust_locus(locus::Center, v, lookup) = v
_adjust_locus(locus::Start, v, lookup) = v - abs(step(lookup)) / 2
_adjust_locus(locus::End, v, lookup) = v + abs(step(lookup)) / 2
_adjust_locus(locus::Start, v::Dates.AbstractTime, lookup) = v - (v - (v - abs(step(lookup)))) / 2
_adjust_locus(locus::End, v::Dates.AbstractTime, lookup) = v + (v + abs(step(lookup)) - v) / 2
_adjust_locus(locus::Start, v::Dates.Date, lookup) = v - (v - (v - abs(step(lookup)))) ÷ 2
_adjust_locus(locus::End, v::Dates.Date, lookup) = v + (v + abs(step(lookup)) - v) ÷ 2
"""
Contains <: IntSelector
Contains(x)
Contains(a, b)
Selector that selects the interval the value is contained by. If the
interval is not present in the lookup, an error will be thrown.
Can only be used for [`Intervals`](@ref) or [`Categorical`](@ref).
For [`Categorical`](@ref) it falls back to using [`At`](@ref).
`Contains` should not be confused with `Base.contains` - use `Where(contains(x))`
to check for if values are contain in categorical values like strings.
`x` can be any value to select a single index, or a `Vector` of values to select vector of indices.
If two values `a` and `b` are used, the range between them will be selected.
## Example
```jldoctest
using DimensionalData; const DD = DimensionalData
dims_ = X(10:10:20; sampling=DD.Intervals(DD.Center())),
Y(5:7; sampling=DD.Intervals(DD.Center()))
A = DimArray([1 2 3; 4 5 6], dims_)
A[X(Contains(8)), Y(Contains(6.8))]
# output
3
```
"""
struct Contains{T} <: IntSelector{T}
val::T
end
Contains() = Contains(nothing)
Contains(a, b) = Contains((a, b))
@inline _selectvec(l, sel; kw...) = [selectindices(l, rebuild(sel, v); kw...) for v in val(sel)]
@inline function _selecttuple(l, sel; kw...)
v1, v2 = _maybeflipbounds(l, val(sel))
selectindices(l, rebuild(sel, v1); kw...):selectindices(l, rebuild(sel, v2); kw...)
end
Base.show(io::IO, x::Contains) = print(io, "Contains(", val(x), ")")
function contains(lookup::AbstractCyclic{Cycling}, sel::Contains; kw...)
cycled_sel = rebuild(sel, cycle_val(lookup, val(sel)))
return contains(no_cycling(lookup), cycled_sel; kw...)
end
function contains(l::NoLookup, sel::Contains; err=_True(), kw...)
if isinteger(val(sel))
i = Int(val(sel))
i in l && return i
end
if err isa _False
return nothing
else
throw(SelectorError(l, val(sel)))
end
end
function contains(l::Lookup, sel::Contains; kw...)
val(sel) isa AbstractFloat && isnan(val(sel)) && throw(ArgumentError("NaN not allowed in `Contains`"))
contains(sampling(l), l, sel; kw...)
end
# NoSampling (e.g. Categorical) just uses `at`
function contains(::NoSampling, l::Lookup, sel::Contains; kw...)
at(l, At(val(sel)); kw...)
end
# Points --------------------------------------
function contains(sampling::Points, l::Lookup, sel::Contains; kw...)
contains(order(l), sampling, l, sel; kw...)
end
function contains(::Order, ::Points, l::Lookup, sel::Contains; kw...)
at(l, At(val(sel)); kw...)
end
function contains(::Order, ::Points, l::Lookup{<:AbstractArray}, sel::Contains{<:AbstractArray};
kw...
)
at(l, At(val(sel)); kw...)
end
# Intervals -----------------------------------
function contains(sampling::Intervals, l::Lookup, sel::Contains; err=_True())
_checkbounds_locus(l, sel) || return _selector_error_or_nothing(err, l, sel)
contains(order(l), span(l), sampling, locus(l), l, sel; err)
end
function contains(
sampling::Intervals, l::Lookup{<:IntervalSets.Interval}, sel::Contains;
kw...
)
v = val(sel)
interval_sel = Contains(Interval{:closed,:open}(v, v))
contains(sampling, l, interval_sel; kw...)
end
function contains(
::Intervals,
l::Lookup{<:IntervalSets.Interval},
sel::Contains{<:IntervalSets.Interval};
err=_True()
)
v = val(sel)
i = searchsortedlast(l, v; by=_by)
if i in eachindex(l) && _in(v, l[i])
return i
else
return _notcontained_or_nothing(err, v)
end
end
# Regular Intervals ---------------------------
function contains(
o::Ordered, span::Regular, ::Intervals, locus::Locus, l::Lookup, sel::Contains;
err=_True()
)
v = val(sel)
i = _searchfunc(locus, o)(l, v)
return check_regular_contains(span, locus, l, v, i, err)
end
function contains(
o::Ordered, span::Regular, ::Intervals, locus::Center, l::Lookup, sel::Contains;
err=_True()
)
v = val(sel) + abs(val(span)) / 2
i = _searchfunc(locus, o)(l, v)
return check_regular_contains(span, locus, l, v, i, err)
end
function check_regular_contains(span::Span, locus::Locus, l::Lookup, v, i, err)
absstep = abs(val(span))
if (parent(l) isa AbstractRange) || _lt(locus)(v, l[i] + absstep)
return i
else
return _notcontained_or_nothing(err, v)
end
end
# Explicit Intervals ---------------------------
function contains(
o::Ordered, span::Explicit, ::Intervals, locus, l::Lookup, sel::Contains;
err=_True()
)
v = val(sel)
searchfunc = _searchfunc(_Upper(), o)
i = searchfunc(view(val(span), 1, :), v; order=ordering(o), lt=_lt(locus))
if i === 0 || val(span)[2, i] < v
return _notcontained_or_nothing(err, v)
else
return i
end
end
# Irregular Intervals -------------------------
function contains(
o::Ordered, span::Irregular, ::Intervals, locus::Locus, l::Lookup, sel::Contains;
err=_True()
)
return _searchfunc(locus, o)(l, val(sel))
end
function contains(
o::Ordered, span::Irregular, ::Intervals, locus::Center, l::Lookup, sel::Contains;
err=_True()
)
_order_lt(::ForwardOrdered) = (<)
_order_lt(::ReverseOrdered) = (<=)
v = val(sel)
i = searchsortedfirst(l, v)
i = if i <= firstindex(l)
firstindex(l)
elseif i > lastindex(l)
lastindex(l)
else
interval = abs(l[i] - l[i - 1])
distance = abs(l[i] - v)
_order_lt(o)(interval / 2, distance) ? i - 1 : i
end
return i
end
_selector_error_or_nothing(err::_True, l, i) = throw(SelectorError(l, i))
_selector_error_or_nothing(err::_False, l, i) = nothing
_notcontained_or_nothing(err::_True, selval) = _notcontainederror(selval)
_notcontained_or_nothing(err::_False, selval) = nothing
_notcontainederror(v) = throw(ArgumentError("No interval contains $v"))
_searchfunc(::Locus, ::ForwardOrdered) = searchsortedlast
_searchfunc(::End, ::ForwardOrdered) = searchsortedfirst
_searchfunc(::Locus, ::ReverseOrdered) = searchsortedfirst
_searchfunc(::End, ::ReverseOrdered) = searchsortedlast
"""
Between <: ArraySelector
Between(a, b)
Depreciated: use `a..b` instead of `Between(a, b)`. Other `Interval`
objects from IntervalSets.jl, like `OpenInterval(a, b) will also work,
giving the correct open/closed boundaries.
`Between` will e removed in future to avoid clashes with `DataFrames.Between`.
Selector that retrieve all indices located between 2 values,
evaluated with `>=` for the lower value, and `<` for the upper value.
This means the same value will not be counted twice in 2 adjacent
`Between` selections.
For [`Intervals`](@ref) the whole interval must be lie between the
values. For [`Points`](@ref) the points must fall between
the values. Different [`Sampling`](@ref) types may give different
results with the same input - this is the intended behaviour.
`Between` for [`Irregular`](@ref) intervals is a little complicated. The
interval is the distance between a value and the next (for `Start` locus)
or previous (for [`End`](@ref) locus) value.
For [`Center`](@ref), we take the mid point between two index values
as the start and end of each interval. This may or may not make sense for
the values in your index, so use `Between` with `Irregular` `Intervals(Center())`
with caution.
## Example
```jldoctest
using DimensionalData
A = DimArray([1 2 3; 4 5 6], (X(10:10:20), Y(5:7)))
A[X(Between(15, 25)), Y(Between(4, 6.5))]
# output
╭────────────────────────╮
│ 1×2 DimArray{Int64, 2} │
├────────────────────────┴───────────────────────────── dims ┐
↓ X Sampled{Int64} 20:10:20 ForwardOrdered Regular Points,
→ Y Sampled{Int64} 5:6 ForwardOrdered Regular Points
└────────────────────────────────────────────────────────────┘
↓ → 5 6
20 4 5
```
"""
struct Between{T<:Union{<:AbstractVector{<:Tuple{Any,Any}},Tuple{Any,Any},Nothing}} <: ArraySelector{T}
val::T
end
Between(args...) = Between(args)
Base.show(io::IO, x::Between) = print(io, "Between(", val(x), ")")
Base.first(sel::Between) = first(val(sel))
Base.last(sel::Between) = last(val(sel))
abstract type _Side end
struct _Upper <: _Side end
struct _Lower <: _Side end
# between
# returns a UnitRange from an Interval
function between(l::Lookup, sel::Between)
a, b = _sorttuple(sel)
return between(l, a..b)
end
# NoIndex behaves like `Sampled` `ForwardOrdered` `Points` of 1:N Int
function between(l::NoLookup, sel::Interval)
x = intersect(sel, first(axes(l, 1))..last(axes(l, 1)))
return ceil(Int, x.left):floor(Int, x.right)
end
# function between(l::AbstractCyclic{Cycling}, sel::Interval)
# cycle_val(l, sel.x)..cycle_val(l, sel.x)
# cycled_sel = rebuild(sel; val=)
# near(no_cycling(lookup), cycled_sel; kw...)
# end
function between(l::Lookup, interval::Interval)
interval.left isa AbstractFloat && (isnan(interval.left) || isnan(interval.right)) &&
throw(ArgumentError("NaN not allowed in selectors"))
between(sampling(l), l, interval)
end
# This is the main method called above
function between(sampling::Sampling, l::Lookup, interval::Interval)
isordered(l) || throw(ArgumentError("Cannot use an interval or `Between` with `Unordered`"))
between(sampling, order(l), l, interval)
end
function between(sampling::NoSampling, o::Ordered, l::Lookup, interval::Interval)
between(Points(), o, l, interval)
end
function between(sampling, o::Ordered, l::Lookup, interval::Interval)
lowerbound, upperbound = bounds(l)
lowsel, highsel = endpoints(interval)
a = if lowsel > upperbound
ordered_lastindex(l) + _ordscalar(o)
elseif lowsel < lowerbound
ordered_firstindex(l)
else
_between_side(_Lower(), o, span(l), sampling, l, interval, lowsel)
end
b = if highsel < lowerbound
ordered_firstindex(l) - _ordscalar(o)
elseif highsel > upperbound
ordered_lastindex(l)
else
_between_side(_Upper(), o, span(l), sampling, l, interval, highsel)
end
a, b = _maybeflipbounds(o, (a, b))
# Fix empty range values
if a > b
if b < firstindex(l)
return firstindex(l):(firstindex(l) - 1)
elseif a > lastindex(l)
return (lastindex(l) + 1):lastindex(l)
end
else
return a:b
end
return a:b
end
# Points -------------------------
function _between_side(side::_Lower, o::Ordered, span, ::Points, l, interval, v)
i = v <= bounds(l)[1] ? ordered_firstindex(l) : _searchfunc(side, o)(l, v)
return _close_interval(side, l, interval, l[i], i)
end
function _between_side(side::_Upper, o::Ordered, span, ::Points, l, interval, v)
i = v >= bounds(l)[2] ? ordered_lastindex(l) : _searchfunc(side, o)(l, v)
return _close_interval(side, l, interval, l[i], i)
end
# Regular Intervals -------------------------
# Adjust the value for the lookup locus before search
function _between_side(side, o::Ordered, ::Regular, ::Intervals, l, interval, v)
adj = _adjust_locus(side, l)
v1 = v + adj
i = _searchfunc(side, o)(l, v1)
# Sideshift (1 or -1) expands the selection to the outside of any touched intervals
# We multiply by ordscalar (1 or -1) to allow for reversed lookups.
i1 = i # + _sideshift(side) * _ordscalar(o)
# Now find the edge of the cell and check that is not the edge of
# an open interval. If so shrink the selected range.
cellbound = if i > lastindex(l)
l[end] + adj
elseif i < firstindex(l)
l[begin] + adj
else
l[i] - adj
end
return _close_interval(side, l, interval, cellbound, i)
end
# Explicit Intervals -------------------------
function _between_side(side, o::Ordered, span::Explicit, ::Intervals, l, interval, v)
# Rebuild the lookup with the lower or upper bounds matrix values before searching
boundsvec = side isa _Lower ? view(val(span), 1, :) : view(val(span), 2, :)
l1 = rebuild(l; data=boundsvec)
# Search for the cell boundary
i = _searchfunc(side, o)(l1, v)
# Add sideshift (1 or -1) to expand the selection to the outside of any touched intervals
# If i is in bounds, check the cell boundary is not the edge of an open interval
return if checkbounds(Bool, l1, i)
@inbounds cellbound = l1[i]
_close_interval(side, l1, interval, cellbound, i)
else
i
end
end
# Irregular Intervals -----------------------
#
# This works a little differently to Regular variants,
# as we have to work with unequal step sizes, calculating them
# as we find close values.
#
# Find the interval the value falls in.
# We need to special-case Center locus for Irregular
_between_side(side, o, span::Irregular, ::Intervals, l, interval, v) =
_between_irreg_side(side, locus(l), o, l, interval, v)
function _between_irreg_side(side, locus::Union{Start,End}, o, l, interval, v)
if v == bounds(l)[1]
i = ordered_firstindex(l)
cellbound = v
elseif v == bounds(l)[2]
i = ordered_lastindex(l)
cellbound = v
else
s = _ordscalar(o)
# Search for the value and offset per order/locus/side
i = _searchfunc(o)(l, v; lt=_lt(side))
i -= s * (_posscalar(locus) + _sideshift(side))
# Get the value on the interval edge
cellbound = if i < firstindex(l)
_maybeflipbounds(l, bounds(l))[1]
elseif i > lastindex(l)
_maybeflipbounds(l, bounds(l))[2]
elseif side isa _Lower && locus isa End
l[i-s]
elseif side isa _Upper && locus isa Start
l[i+s]
else
l[i]
end
end
return _close_interval(side, l, interval, cellbound, i)
end
function _between_irreg_side(side, locus::Center, o, l, interval, v)
if v == bounds(l)[1]
i = ordered_firstindex(l)
cellbound = v
elseif v == bounds(l)[2]
i = ordered_lastindex(l)
cellbound = v
else
r = _ordscalar(o)
sh = _sideshift(side)
i = _searchfunc(o)(l, v; lt=_lt(side))
(i - r < firstindex(l) || i - r > lastindex(l)) && return i
half_step = abs(l[i] - l[i-r]) / 2
distance = abs(l[i] - v)
# Use the right less than </<= to match interval bounds
i = if _lt(side)(distance, half_step)
i - sh * r
else
i - (1 + sh) * r
end
shift = side isa _Lower ? -half_step : half_step
cellbound = l[i] + shift
end
return _close_interval(side, l, interval, cellbound, i)
end
_close_interval(side, l, interval, cellbound, i) = i
function _close_interval(side::_Lower, l, interval::Interval{:open,<:Any}, cellbound, i)
cellbound == interval.left ? i + _ordscalar(l) : i
end
function _close_interval(side::_Upper, l, interval::Interval{<:Any,:open}, cellbound, i)
cellbound == interval.right ? i - _ordscalar(l) : i
end
_adjust_locus(side, l) = _adjust_locus(side, locus(l), abs(step(span(l))))
_adjust_locus(::_Lower, locus::Start, step) = zero(step)
_adjust_locus(::_Upper, locus::Start, step) = -step
_adjust_locus(::_Lower, locus::Center, step) = step/2
_adjust_locus(::_Upper, locus::Center, step) = -step/2
_adjust_locus(::_Lower, locus::End, step) = step
_adjust_locus(::_Upper, locus::End, step) = -zero(step)
_posscalar(::Start) = 1
_posscalar(::End) = 0
_sideshift(::_Lower) = -1
_sideshift(::_Upper) = 1
_ordscalar(l) = _ordscalar(order(l))
_ordscalar(::ForwardOrdered) = 1
_ordscalar(::ReverseOrdered) = -1
_lt(::_Lower) = (<)
_lt(::_Upper) = (<=)
_maybeflipbounds(m::Lookup, bounds) = _maybeflipbounds(order(m), bounds)
_maybeflipbounds(o::ForwardOrdered, (a, b)) = (a, b)
_maybeflipbounds(o::ReverseOrdered, (a, b)) = (b, a)
_maybeflipbounds(o::Unordered, (a, b)) = (a, b)
"""
Touches <: ArraySelector
Touches(a, b)
Selector that retrieves all indices touching the closed interval 2 values,
for the maximum possible area that could interact with the supplied range.
This can be better than `..` when e.g. subsetting an area to rasterize, as
you may wish to include pixels that just touch the area, rather than those
that fall within it.
Touches is different to using closed intervals when the lookups also
contain intervals - if any of the intervals touch, they are included.
With `..` they are discarded unless the whole cell interval falls inside
the selector interval.
## Example
```jldoctest
using DimensionalData
A = DimArray([1 2 3; 4 5 6], (X(10:10:20), Y(5:7)))
A[X(Touches(15, 25)), Y(Touches(4, 6.5))]
# output
╭────────────────────────╮
│ 1×2 DimArray{Int64, 2} │
├────────────────────────┴───────────────────────────── dims ┐
↓ X Sampled{Int64} 20:10:20 ForwardOrdered Regular Points,
→ Y Sampled{Int64} 5:6 ForwardOrdered Regular Points
└────────────────────────────────────────────────────────────┘
↓ → 5 6
20 4 5
```
"""
struct Touches{T<:Union{<:AbstractVector{<:Tuple{Any,Any}},Tuple{Any,Any},Nothing,Extents.Extent}} <: ArraySelector{T}
val::T
end
Touches(a, b) = Touches((a, b))
Base.first(sel::Touches) = first(val(sel))
Base.last(sel::Touches) = last(val(sel))
# touches for tuple intervals
# returns a UnitRange like Touches/Interval but for cells contained
# NoIndex behaves like `Sampled` `ForwardOrdered` `Points` of 1:N Int
touches(l::NoLookup, sel::Touches) = between(l, Interval(val(sel)...))
touches(l::Lookup, sel::Touches) = touches(sampling(l), l, sel)
# This is the main method called above
function touches(sampling::Sampling, l::Lookup, sel::Touches)
o = order(l)
o isa Unordered && throw(ArgumentError("Cannot use an sel or `Between` with Unordered"))
touches(sampling, o, l, sel)
end
function touches(sampling::NoSampling, o::Ordered, l::Lookup, sel::Touches)
touches(Points(), o, l, sel)
end
function touches(sampling, o::Ordered, l::Lookup, sel::Touches)
lowerbound, upperbound = bounds(l)
lowsel, highsel = val(sel)
a = if lowsel > upperbound
ordered_lastindex(l) + _ordscalar(o)
elseif lowsel < lowerbound
ordered_firstindex(l)
else
_touches(_Lower(), o, span(l), sampling, l, sel, lowsel)
end
b = if highsel < lowerbound
ordered_firstindex(l) - _ordscalar(o)
elseif highsel > upperbound
ordered_lastindex(l)
else
_touches(_Upper(), o, span(l), sampling, l, sel, highsel)
end
a, b = _maybeflipbounds(o, (a, b))
# Fix empty range values
if a > b
if b < firstindex(l)
return firstindex(l):(firstindex(l) - 1)
elseif a > lastindex(l)
return (lastindex(l) + 1):lastindex(l)
end
else
return a:b
end
return a:b
end
# Points -------------------------
function _touches(side::_Lower, o::Ordered, span, ::Points, l, sel, v)
i = v <= bounds(l)[1] ? ordered_firstindex(l) : _searchfunc(side, o)(l, v)
return i
end
function _touches(side::_Upper, o::Ordered, span, ::Points, l, sel, v)
i = v >= bounds(l)[2] ? ordered_lastindex(l) : _searchfunc(side, o)(l, v)
return i
end
# Regular Intervals -------------------------
# Adjust the value for the lookup locus before search
function _touches(side, o::Ordered, ::Regular, ::Intervals, l, sel, v)
adj = _adjust_locus(side, l)
v1 = v + adj
i = _searchfunc(side, o)(l, v1)
# Sideshift (1 or -1) expands the selection to the outside of any touched sels
# We multiply by ordscalar (1 or -1) to allow for reversed lookups.
i1 = i + _sideshift(side) * _ordscalar(o)
# Finally we need to make sure i2 is still inbounds after adding sideshift
return min(max(i1, firstindex(l)), lastindex(l))
end
# Explicit Intervals -------------------------
function _touches(side, o::Ordered, span::Explicit, ::Intervals, l, sel, v)
# Rebuild the lookup with the lower or upper bounds matrix values before searching
boundsvec = side isa _Lower ? view(val(span), 1, :) : view(val(span), 2, :)
l1 = rebuild(l; data=boundsvec)
# Search for the cell boundary
i = _searchfunc(side, o)(l1, v)
# Add sideshift (1 or -1) to expand the selection to the outside of any touched sels
i1 = i + _sideshift(side) * _ordscalar(o)
# Finally we need to make sure i2 is still inbounds after adding sideshift
return min(max(i1, firstindex(l)), lastindex(l))
end
# Irregular Intervals -----------------------
#
# This works a little differently to Regular variants,
# as we have to work with unequal step sizes, calculating them
# as we find close values.
#
# Find the interval the value falls in.
# We need to special-case Center locus for Irregular
_touches(side, o, span::Irregular, ::Intervals, l, sel, v) =
_touches_irreg_side(side, locus(l), o, l, sel, v)
function _touches_irreg_side(side, locus::Union{Start,End}, o, l, sel, v)
i = if v == bounds(l)[1]
ordered_firstindex(l)
elseif v == bounds(l)[2]
ordered_lastindex(l)
else
# Search for the value and offset per order/locus/side
_searchfunc(o)(l, v; lt=_lt(side)) - _ordscalar(o) * _posscalar(locus)
end
return i
end
function _touches_irreg_side(side, locus::Center, o, l, sel, v)
if v == bounds(l)[1]
i = ordered_firstindex(l)
elseif v == bounds(l)[2]
i = ordered_lastindex(l)
else
i = _searchfunc(o)(l, v; lt=_lt(side))
i1 = i - _ordscalar(o)
# We are at the start or end, return i
if (i1 < firstindex(l) || i1 > lastindex(l))
i
else
# Calculate the size of the current step
half_step = abs(l[i] - l[i1]) / 2
distance = abs(l[i] - v)
# Use the correct less than </<= to match sel bounds
i = if _lt(side)(distance, half_step)
i
else
i1
end
end
end
return i
end
"""
Where <: ArraySelector
Where(f::Function)
Selector that filters a dimension lookup by any function that
accepts a single value and returns a `Bool`.
## Example
```jldoctest
using DimensionalData
A = DimArray([1 2 3; 4 5 6], (X(10:10:20), Y(19:21)))
A[X(Where(x -> x > 15)), Y(Where(x -> x in (19, 21)))]
# output
╭────────────────────────╮
│ 1×2 DimArray{Int64, 2} │
├────────────────────────┴────────────────────────────── dims ┐
↓ X Sampled{Int64} [20] ForwardOrdered Irregular Points,
→ Y Sampled{Int64} [19, 21] ForwardOrdered Irregular Points
└─────────────────────────────────────────────────────────────┘
↓ → 19 21
20 4 6
```
"""
struct Where{T} <: ArraySelector{T}
f::T
end
val(sel::Where) = sel.f
Base.show(io::IO, x::Where) = print(io, "Where(", repr(val(x)), ")")
# Yes this is everything. `Where` doesn't need lookup specialisation
@inline function _selectindices(lookup::Lookup, sel::Where)
[i for (i, v) in enumerate(parent(lookup)) if sel.f(v)]
end