add test for complex asin/acos/acosh

Author: araujoms

test/symmetric.jl

@@ -1199,4 +1199,14 @@ end
     end
 end
 
+@testset "asin/acos/acosh for matrix outside the real domain" begin
+    M = [0 2;2 0] #eigenvalues are ±2
+    for T ∈ (Float32, Float64, ComplexF32, ComplexF64)
+        M2 = Hermitian(T.(M))
+        @test sin(asin(M2)) ≈ M2
+        @test cos(acos(M2)) ≈ M2
+        @test cosh(acosh(M2)) ≈ M2
+    end
+end
+
 end # module TestSymmetric