increase coverage

Author: lkdvos

test/projections.jl

@@ -9,6 +9,7 @@ const BLASFloats = (Float32, Float64, ComplexF32, ComplexF64)
 @testset "project_(anti)hermitian! for T = $T" for T in BLASFloats
     rng = StableRNG(123)
     m = 54
+    noisefactor = eps(real(T))^(3 / 4)
     for alg in (NativeBlocked(blocksize = 16), NativeBlocked(blocksize = 32), NativeBlocked(blocksize = 64))
         A = randn(rng, T, m, m)
         Ah = (A + A') / 2
@@ -19,11 +20,17 @@ const BLASFloats = (Float32, Float64, ComplexF32, ComplexF64)
         @test ishermitian(Bh)
         @test Bh ≈ Ah
         @test A == Ac
+        Bh_approx = Bh + noisefactor * Aa
+        @test !ishermitian(Bh_approx)
+        @test ishermitian(Bh_approx; rtol = 10 * noisefactor)
 
         Ba = project_antihermitian(A, alg)
         @test isantihermitian(Ba)
         @test Ba ≈ Aa
         @test A == Ac
+        Ba_approx = Ba + noisefactor * Ah
+        @test !isantihermitian(Ba_approx)
+        @test isantihermitian(Ba_approx; rtol = 10 * noisefactor)
 
         Bh = project_hermitian!(Ac, alg)
         @test Bh === Ac