More stable tests

Author: mtfishman

test/Project.toml

@@ -5,6 +5,7 @@ KroneckerArrays = "05d0b138-81bc-4ff7-84be-08becefb1ccc"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 MatrixAlgebraKit = "6c742aac-3347-4629-af66-fc926824e5e4"
 SafeTestsets = "1bc83da4-3b8d-516f-aca4-4fe02f6d838f"
+StableRNGs = "860ef19b-820b-49d6-a774-d7a799459cd3"
 Suppressor = "fd094767-a336-5f1f-9728-57cf17d0bbfb"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 TestExtras = "5ed8adda-3752-4e41-b88a-e8b09835ee3a"
@@ -16,6 +17,7 @@ KroneckerArrays = "0.1"
 LinearAlgebra = "1.10"
 MatrixAlgebraKit = "0.2"
 SafeTestsets = "0.1"
+StableRNGs = "1.0"
 Suppressor = "0.2"
 Test = "1.10"
 TestExtras = "0.3"

test/test_basics.jl

@@ -1,6 +1,7 @@
 using FillArrays: Eye
 using KroneckerArrays: KroneckerArrays, ⊗, ×, diagonal, kron_nd
 using LinearAlgebra: Diagonal, I, det, eigen, eigvals, lq, pinv, qr, svd, svdvals, tr
+using StableRNGs: StableRNG
 using Test: @test, @test_broken, @test_throws, @testset
 
 const elts = (Float32, Float64, ComplexF32, ComplexF64)
@@ -98,11 +99,12 @@ end
   @test a * a == (a.a * a.a) ⊗ Eye(2)
 
   # Eye ⊗ A
-  a = Eye(2) ⊗ randn(3, 3)
+  rng = StableRNG(123)
+  a = Eye(2) ⊗ randn(rng, 3, 3)
   for f in MATRIX_FUNCTIONS
     @eval begin
       fa = $f($a)
-      @test collect(fa) ≈ $f(collect($a)) rtol = ∜(eps(real(eltype($a))))
+      @test collect(fa) ≈ $f(collect($a)) rtol = √(eps(real(eltype($a))))
       @test fa.a isa Eye
     end
   end
@@ -118,11 +120,12 @@ end
   @test det(a) ≈ det(collect(a))
 
   # A ⊗ Eye
-  a = randn(3, 3) ⊗ Eye(2)
+  rng = StableRNG(123)
+  a = randn(rng, 3, 3) ⊗ Eye(2)
   for f in MATRIX_FUNCTIONS
     @eval begin
       fa = $f($a)
-      @test collect(fa) ≈ $f(collect($a)) rtol = ∜(eps(real(eltype($a))))
+      @test collect(fa) ≈ $f(collect($a)) rtol = √(eps(real(eltype($a))))
       @test fa.b isa Eye
     end
   end