Fix quantile with Date and DateTime

Before #145 `Date` and `DateTime` were supported with `quantile` as long
as the cut point falls between two equal values. Restore this behavior
as some code may rely on this given that it is the most common situation
with large datasets.

Project.toml

@@ -19,9 +19,10 @@ SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 SparseArraysExt = ["SparseArrays"]
 
 [extras]
+Dates = "ade2ca70-3891-5945-98fb-dc099432e06a"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["Random", "SparseArrays", "Test"]
+test = ["Dates", "Random", "SparseArrays", "Test"]

src/Statistics.jl

@@ -1026,8 +1026,8 @@ end
 
     # When a ≉ b, b-a may overflow
     # When a ≈ b, (1-γ)*a + γ*b may not be increasing with γ due to rounding
-    # Call to float is to work around JuliaLang/julia#50380
-    if isfinite(a) && isfinite(b) && float(a) ≈ float(b)
+    if isfinite(a) && isfinite(b) &&
+        (!(a isa Number) || !(b isa Number) || a ≈ b)
         return a + γ*(b-a)
     else
         return (1-γ)*a + γ*b

test/runtests.jl

@@ -1,6 +1,6 @@
 # This file is a part of Julia. License is MIT: https://julialang.org/license
 
-using Statistics, Test, Random, LinearAlgebra, SparseArrays
+using Statistics, Test, Random, LinearAlgebra, SparseArrays, Dates
 using Test: guardseed
 
 Random.seed!(123)
@@ -776,6 +776,17 @@ end
     @test issorted(quantile([1.0, 1.0+2eps(), 1.0+4eps(), 1.0+6eps()], range(0, 1, length=100)))
 end
 
+@testset "quantiles with Date and DateTime" begin
+    # this is the historical behavior
+    @test quantile([Date(2023, 09, 02)], .1) == Date(2023, 09, 02)
+    @test quantile([Date(2023, 09, 02), Date(2023, 09, 02)], .1) == Date(2023, 09, 02)
+    @test_throws InexactError quantile([Date(2023, 09, 02), Date(2023, 09, 03)], .1)
+
+    @test quantile([DateTime(2023, 09, 02)], .1) == DateTime(2023, 09, 02)
+    @test quantile([DateTime(2023, 09, 02), DateTime(2023, 09, 02)], .1) == DateTime(2023, 09, 02)
+    @test_throws InexactError quantile([DateTime(2023, 09, 02), DateTime(2023, 09, 03)], .1)
+end
+
 @testset "variance of complex arrays (#13309)" begin
     z = rand(ComplexF64, 10)
     @test var(z) ≈ invoke(var, Tuple{Any}, z) ≈ cov(z) ≈ var(z,dims=1)[1] ≈ sum(abs2, z .- mean(z))/9