Add tests for functor material property shortcut output

refs idaholab#19382

test/tests/functormaterials/output/gold/output_ad_out.e

@@ -0,0 +1 @@
+output_out.e

test/tests/functormaterials/output/output.i

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+[Mesh]
+  type = GeneratedMesh
+  dim = 2
+  nx = 2
+  ny = 2
+  nz = 1
+  xmin = 0.0
+  xmax = 4.0
+  ymin = 0.0
+  ymax = 6.0
+[]
+
+[FunctorMaterials]
+  [parsed_fmat]
+    type = ParsedFunctorMaterial
+    expression = 't + x + y + z'
+    property_name = 'prop1'
+    outputs = 'exodus'
+    output_properties = 'prop1'
+  []
+  [parsed_vector_fmat]
+    type = GenericVectorFunctorMaterial
+    prop_names = 'prop1_vec'
+    prop_values = '1 2 3'
+    outputs = 'exodus'
+    output_properties = 'prop1_vec'
+  []
+[]
+
+[Problem]
+  solve = false
+[]
+
+[Executioner]
+  type = Steady
+  # Get the t to be equal to 4
+  time = 4.0
+[]
+
+[Outputs]
+  exodus = true
+  execute_on = 'INITIAL'
+[]

test/tests/functormaterials/output/output_ad.i

@@ -0,0 +1,43 @@
+[Mesh]
+  type = GeneratedMesh
+  dim = 2
+  nx = 2
+  ny = 2
+  nz = 1
+  xmin = 0.0
+  xmax = 4.0
+  ymin = 0.0
+  ymax = 6.0
+[]
+
+[FunctorMaterials]
+  [parsed_fmat]
+    type = ADParsedFunctorMaterial
+    expression = 't + x + y + z'
+    property_name = 'prop1'
+    outputs = 'exodus'
+    output_properties = 'prop1'
+  []
+  [parsed_vector_fmat]
+    type = ADGenericVectorFunctorMaterial
+    prop_names = 'prop1_vec'
+    prop_values = '1 2 3'
+    outputs = 'exodus'
+    output_properties = 'prop1_vec'
+  []
+[]
+
+[Problem]
+  solve = false
+[]
+
+[Executioner]
+  type = Steady
+  # Get the t to be equal to 4
+  time = 4.0
+[]
+
+[Outputs]
+  exodus = true
+  execute_on = 'INITIAL'
+[]

test/tests/functormaterials/output/tests

@@ -0,0 +1,24 @@
+[Tests]
+  design = 'syntax/FunctorMaterials/index.md syntax/Outputs/index.md'
+  issues = '#19382'
+
+  [types]
+    requirement = "The system shall support the output of functor material data as field variables including"
+
+    [regular]
+      type = 'Exodiff'
+      input = 'output.i'
+      exodiff = 'output_out.e'
+
+      detail = 'outputting a functor property, defined within a functor material;'
+    []
+    [ad]
+      # Test the ability for Output objects to enable all material property output
+      type = 'Exodiff'
+      input = 'output_ad.i'
+      exodiff = 'output_ad_out.e'
+
+      detail = 'outputting a functor property with automatic differentiation, defined within a functor material;'
+    []
+  []
+[]