test: test causal connections of variables

test/causal_variables_connection.jl

@@ -0,0 +1,98 @@
+using ModelingToolkit, ModelingToolkitStandardLibrary.Blocks
+using ModelingToolkit: t_nounits as t, D_nounits as D
+
+@testset "Error checking" begin
+    @variables begin
+        x(t)
+        y(t), [input = true]
+        z(t), [output = true]
+        w(t)
+        v(t), [input = true]
+        u(t), [output = true]
+        xarr(t)[1:4], [output = true]
+        yarr(t)[1:2, 1:2], [input = true]
+    end
+    @parameters begin
+        p, [input = true]
+        q, [output = true]
+    end
+
+    @test_throws ["p", "kind", "VARIABLE", "PARAMETER"] connect(z, p)
+    @test_throws ["q", "kind", "VARIABLE", "PARAMETER"] connect(q, y)
+    @test_throws ["p", "kind", "VARIABLE", "PARAMETER"] connect(z, y, p)
+
+    @test_throws ["unique"] connect(z, y, y)
+
+    @test_throws ["same size"] connect(xarr, yarr)
+
+    @test_throws ["Expected", "x", "output = true", "metadata"] connect(x, y)
+    @test_throws ["Expected", "y", "output = true", "metadata"] connect(y, v)
+
+    @test_throws ["Expected", "x", "input = true", "metadata"] connect(z, x)
+    @test_throws ["Expected", "x", "input = true", "metadata"] connect(z, y, x)
+    @test_throws ["Expected", "u", "input = true", "metadata"] connect(z, u)
+    @test_throws ["Expected", "u", "input = true", "metadata"] connect(z, y, u)
+end
+
+@testset "Connection expansion" begin
+    @named P = FirstOrder(k = 1, T = 1)
+    @named C = Gain(; k = -1)
+
+    eqs = [connect(P.output.u, C.input.u)
+           connect(C.output.u, P.input.u)]
+    sys1 = ODESystem(eqs, t, systems = [P, C], name = :hej)
+    sys = expand_connections(sys1)
+    @test any(isequal(P.output.u ~ C.input.u), equations(sys))
+    @test any(isequal(C.output.u ~ P.input.u), equations(sys))
+
+    @named sysouter = ODESystem(Equation[], t; systems = [sys1])
+    sys = expand_connections(sysouter)
+    @test any(isequal(sys1.P.output.u ~ sys1.C.input.u), equations(sys))
+    @test any(isequal(sys1.C.output.u ~ sys1.P.input.u), equations(sys))
+end
+
+@testset "With Analysis Points" begin
+    @named P = FirstOrder(k = 1, T = 1)
+    @named C = Gain(; k = -1)
+
+    ap = AnalysisPoint(:plant_input)
+    eqs = [connect(P.output, C.input), connect(C.output.u, ap, P.input.u)]
+    sys = ODESystem(eqs, t, systems = [P, C], name = :hej)
+    @named nested_sys = ODESystem(Equation[], t; systems = [sys])
+
+    test_cases = [
+        ("inner", sys, sys.plant_input),
+        ("nested", nested_sys, nested_sys.hej.plant_input),
+        ("inner - Symbol", sys, :plant_input),
+        ("nested - Symbol", nested_sys, nameof(sys.plant_input))
+    ]
+
+    @testset "get_sensitivity - $name" for (name, sys, ap) in test_cases
+        matrices, _ = get_sensitivity(sys, ap)
+        @test matrices.A[] == -2
+        @test matrices.B[] * matrices.C[] == -1 # either one negative
+        @test matrices.D[] == 1
+    end
+
+    @testset "get_comp_sensitivity - $name" for (name, sys, ap) in test_cases
+        matrices, _ = get_comp_sensitivity(sys, ap)
+        @test matrices.A[] == -2
+        @test matrices.B[] * matrices.C[] == 1 # both positive or negative
+        @test matrices.D[] == 0
+    end
+
+    @testset "get_looptransfer - $name" for (name, sys, ap) in test_cases
+        matrices, _ = get_looptransfer(sys, ap)
+        @test matrices.A[] == -1
+        @test matrices.B[] * matrices.C[] == -1 # either one negative
+        @test matrices.D[] == 0
+    end
+
+    @testset "open_loop - $name" for (name, sys, ap) in test_cases
+        open_sys, (du, u) = open_loop(sys, ap)
+        matrices, _ = linearize(open_sys, [du], [u])
+        @test matrices.A[] == -1
+        @test matrices.B[] * matrices.C[] == -1 # either one negative
+        @test matrices.D[] == 0
+    end
+end

test/runtests.jl

@@ -85,6 +85,7 @@ end
             @safetestset "Constraints Test" include("constraints.jl")
             @safetestset "IfLifting Test" include("if_lifting.jl")
             @safetestset "Analysis Points Test" include("analysis_points.jl")
+            @safetestset "Causal Variables Connection Test" include("causal_variables_connection.jl")
         end
     end