avoid method proliferation for Tuple functions

* Introducing new types and methods for a callable can invalidate
  already compiled method instances of a function for which
  world-splitting is enabled (`max_methods`).

* Invalidation of sysimage or package precompiled code worsens latency
  due to requiring recompilation.

* Lowering the `max_methods` setting for a function often causes
  inference issues for existing code that is not completely
  type-stable (which is a lot of code). In many cases this is easy to
  fix by avoiding method proliferation, such as by merging some methods
  and introducing branching into the merged method.

This PR aims to fix the latter issue for some `Tuple`-related methods
of some functions where decreasing `max_methods` might be interesting.

Seeing as branching was deliberately avoided in the bodies of many of
these methods, I opted for the approach of introducing local functions
which preserve the dispatch logic as before, without branching. Thus
there should be no regressions, except perhaps because of changed
inlining costs.

This PR is a prerequisite for PRs which try to decrease `max_methods`
for select functions, such as PR:

* JuliaLang#59377

Author: nsajko

base/essentials.jl

@@ -533,8 +533,14 @@ julia> Base.tail(())
 ERROR: ArgumentError: Cannot call tail on an empty tuple.
 ```
 """
-tail(x::Tuple) = argtail(x...)
-tail(::Tuple{}) = throw(ArgumentError("Cannot call tail on an empty tuple."))
+function tail(x::Tuple)
+    f(x::Tuple) = argtail(x...)
+    function f(::Tuple{})
+        @noinline
+        throw(ArgumentError("Cannot call tail on an empty tuple."))
+    end
+    f(x)
+end
 
 function unwrap_unionall(@nospecialize(a))
     @_foldable_meta

base/operators.jl

@@ -223,13 +223,6 @@ isless(x::AbstractFloat, y::AbstractFloat) = (!isnan(x) & (isnan(y) | signless(x
 isless(x::Real,          y::AbstractFloat) = (!isnan(x) & (isnan(y) | signless(x, y))) | (x < y)
 isless(x::AbstractFloat, y::Real         ) = (!isnan(x) & (isnan(y) | signless(x, y))) | (x < y)
 
-# Performance optimization to reduce branching
-# This is useful for sorting tuples of integers
-# TODO: remove this when the compiler can optimize the generic version better
-# See #48724 and #48753
-isless(a::Tuple{BitInteger, BitInteger}, b::Tuple{BitInteger, BitInteger}) =
-    isless(a[1], b[1]) | (isequal(a[1], b[1]) & isless(a[2], b[2]))
-
 """
     isgreater(x, y)
 

base/tuple.jl

@@ -263,9 +263,14 @@ end
 
 @eval split_rest(t::Tuple, n::Int, i=1) = ($(Expr(:meta, :aggressive_constprop)); (t[i:end-n], t[end-n+1:end]))
 
-# Use dispatch to avoid a branch in first
-first(::Tuple{}) = throw(ArgumentError("tuple must be non-empty"))
-first(t::Tuple) = t[1]
+function first(t::Tuple)
+    f(t::Tuple) = t[1]
+    function f(::Tuple{})
+        @noinline
+        throw(ArgumentError("tuple must be non-empty"))
+    end
+    f(t)
+end
 
 # eltype
 
@@ -577,71 +582,95 @@ function _eq(t1::Any32, t2::Any32)
 end
 
 const tuplehash_seed = UInt === UInt64 ? 0x77cfa1eef01bca90 : 0xf01bca90
-hash(::Tuple{}, h::UInt) = h ⊻ tuplehash_seed
-hash(t::Tuple, h::UInt) = hash(t[1], hash(tail(t), h))
-function hash(t::Any32, h::UInt)
-    out = h ⊻ tuplehash_seed
-    for i = length(t):-1:1
-        out = hash(t[i], out)
+function hash(t::Tuple, h::UInt)
+    f(::Tuple{}, h::UInt) = h ⊻ tuplehash_seed
+    f(t::Tuple, h::UInt) = hash(t[1], hash(tail(t), h))
+    function f(t::Any32, h::UInt)
+        out = h ⊻ tuplehash_seed
+        for i = length(t):-1:1
+            out = hash(t[i], out)
+        end
+        return out
     end
-    return out
+    f(t, h)
 end
 
-<(::Tuple{}, ::Tuple{}) = false
-<(::Tuple{}, ::Tuple) = true
-<(::Tuple, ::Tuple{}) = false
 function <(t1::Tuple, t2::Tuple)
-    a, b = t1[1], t2[1]
-    eq = (a == b)
-    if ismissing(eq)
-        return missing
-    elseif !eq
-        return a < b
-    end
-    return tail(t1) < tail(t2)
-end
-function <(t1::Any32, t2::Any32)
-    n1, n2 = length(t1), length(t2)
-    for i = 1:min(n1, n2)
-        a, b = t1[i], t2[i]
+    f(::Tuple{}, ::Tuple{}) = false
+    f(::Tuple{}, ::Tuple) = true
+    f(::Tuple, ::Tuple{}) = false
+    function f(t1::Tuple, t2::Tuple)
+        a, b = t1[1], t2[1]
         eq = (a == b)
         if ismissing(eq)
             return missing
         elseif !eq
-           return a < b
+            return a < b
+        end
+        return tail(t1) < tail(t2)
+    end
+    function f(t1::Any32, t2::Any32)
+        n1, n2 = length(t1), length(t2)
+        for i = 1:min(n1, n2)
+            a, b = t1[i], t2[i]
+            eq = (a == b)
+            if ismissing(eq)
+                return missing
+            elseif !eq
+                return a < b
+            end
         end
+        return n1 < n2
     end
-    return n1 < n2
+    f(t1, t2)
 end
 
-isless(::Tuple{}, ::Tuple{}) = false
-isless(::Tuple{}, ::Tuple) = true
-isless(::Tuple, ::Tuple{}) = false
+# copy of `BitInteger` defined later during bootstrap in int.jl
+const _BitInteger = Union{
+    Int8, Int16, Int32, Int64, Int128,
+    UInt8, UInt16, UInt32, UInt64, UInt128,
+}
 
 """
     isless(t1::Tuple, t2::Tuple)
 
 Return `true` when `t1` is less than `t2` in lexicographic order.
 """
 function isless(t1::Tuple, t2::Tuple)
-    a, b = t1[1], t2[1]
-    isless(a, b) || (isequal(a, b) && isless(tail(t1), tail(t2)))
-end
-function isless(t1::Any32, t2::Any32)
-    n1, n2 = length(t1), length(t2)
-    for i = 1:min(n1, n2)
-        a, b = t1[i], t2[i]
-        if !isequal(a, b)
-            return isless(a, b)
+    f(::Tuple{}, ::Tuple{}) = false
+    f(::Tuple{}, ::Tuple) = true
+    f(::Tuple, ::Tuple{}) = false
+    function f(t1::Tuple, t2::Tuple)
+        a, b = t1[1], t2[1]
+        isless(a, b) || (isequal(a, b) && isless(tail(t1), tail(t2)))
+    end
+    function f(t1::Any32, t2::Any32)
+        n1, n2 = length(t1), length(t2)
+        for i = 1:min(n1, n2)
+            a, b = t1[i], t2[i]
+            if !isequal(a, b)
+                return isless(a, b)
+            end
         end
+        return n1 < n2
+    end
+    # Performance optimization to reduce branching
+    # This is useful for sorting tuples of integers
+    # TODO: remove this when the compiler can optimize the generic version better
+    # See #48724 and #48753
+    function f(a::Tuple{_BitInteger, _BitInteger}, b::Tuple{_BitInteger, _BitInteger})
+        isless(a[1], b[1]) | (isequal(a[1], b[1]) & isless(a[2], b[2]))
     end
-    return n1 < n2
+    f(t1, t2)
 end
 
 ## functions ##
 
-isempty(x::Tuple{}) = true
-isempty(@nospecialize x::Tuple) = false
+function isempty(x::Tuple)
+    f(x::Tuple{}) = true
+    f(@nospecialize x::Tuple) = false
+    f(x)
+end
 
 revargs() = ()
 revargs(x, r...) = (revargs(r...)..., x)
@@ -679,11 +708,14 @@ empty(@nospecialize x::Tuple) = ()
 foreach(f, itr::Tuple) = foldl((_, x) -> (f(x); nothing), itr, init=nothing)
 foreach(f, itr::Tuple, itrs::Tuple...) = foldl((_, xs) -> (f(xs...); nothing), zip(itr, itrs...), init=nothing)
 
-circshift((@nospecialize t::Union{Tuple{},Tuple{Any}}), @nospecialize _::Integer) = t
-circshift(t::Tuple{Any,Any}, shift::Integer) = iseven(shift) ? t : reverse(t)
-function circshift(x::Tuple{Any,Any,Any,Vararg{Any,N}}, shift::Integer) where {N}
-    @inline
-    len = N + 3
-    j = mod1(shift, len)
-    ntuple(k -> getindex(x, k-j+ifelse(k>j,0,len)), Val(len))::Tuple
+function circshift(t::Tuple, shift::Integer)
+    f((@nospecialize t::Union{Tuple{},Tuple{Any}}), @nospecialize _::Integer) = t
+    f(t::Tuple{Any,Any}, shift::Integer) = iseven(shift) ? t : reverse(t)
+    function f(x::Tuple{Any,Any,Any,Vararg{Any,N}}, shift::Integer) where {N}
+        @inline
+        len = N + 3
+        j = mod1(shift, len)
+        ntuple(k -> getindex(x, k-j+ifelse(k>j,0,len)), Val(len))::Tuple
+    end
+    f(t, shift)
 end

test/tuple.jl

@@ -824,6 +824,18 @@ namedtup = (;a=1, b=2, c=3)
 @test Val{Tuple{Int64, Vararg{Int32,N}} where N} === Val{Tuple{Int64, Vararg{Int32}}}
 @test Val{Tuple{Int32, Vararg{Int64}}} === Val{Tuple{Int32, Vararg{Int64,N}} where N}
 
+@testset "avoid method proliferation" begin
+    t = isone ∘ length ∘ methods
+    @test t(circshift, Tuple{Tuple, Integer})
+    @test t(hash, Tuple{Tuple, UInt})
+    for f in (Base.tail, first, isempty)
+        @test t(f, Tuple{Tuple})
+    end
+    for f in (<, isless, ==, isequal)
+        @test t(f, Tuple{Tuple, Tuple})
+    end
+end
+
 @testset "from Pair, issue #52636" begin
     pair = (1 => "2")
     @test (1, "2") == @inferred Tuple(pair)