Default float type to float(Real), not Real (#685)

* Default float type to float(Real), not Real

Closes #684

* Trigger CI on backport branches/PRs

* Add integration test for #684

* Bump Turing version to 0.34 in test subfolder

.github/workflows/CI.yml

@@ -4,9 +4,11 @@ on:
   push:
     branches:
       - master
+      - backport-*
   pull_request:
     branches:
       - master
+      - backport-*
   merge_group:
     types: [checks_requested]
 

src/utils.jl

@@ -941,10 +941,10 @@ end
 """
     float_type_with_fallback(x)
 
-Return type corresponding to `float(typeof(x))` if possible; otherwise return `Real`.
+Return type corresponding to `float(typeof(x))` if possible; otherwise return `float(Real)`.
 """
-float_type_with_fallback(::Type) = Real
-float_type_with_fallback(::Type{Union{}}) = Real
+float_type_with_fallback(::Type) = float(Real)
+float_type_with_fallback(::Type{Union{}}) = float(Real)
 float_type_with_fallback(::Type{T}) where {T<:Real} = float(T)
 
 """

test/turing/varinfo.jl

@@ -342,4 +342,19 @@
         model = state_space(y, length(t))
         @test size(sample(model, NUTS(; adtype=AutoReverseDiff(true)), n), 1) == n
     end
+
+    if Threads.nthreads() > 1
+        @testset "DynamicPPL#684: OrderedDict with multiple types when multithreaded" begin
+            @model function f(x)
+                ns ~ filldist(Normal(0, 2.0), 3)
+                m ~ Uniform(0, 1)
+                return x ~ Normal(m, 1)
+            end
+            model = f(1)
+            chain = sample(model, NUTS(), MCMCThreads(), 10, 2)
+            loglikelihood(model, chain)
+            logprior(model, chain)
+            logjoint(model, chain)
+        end
+    end
 end