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Continuous.Tests.TransferFunction.md

Continuous.Tests.TransferFunction

Tests for TransferFunction block covering:

  • case1: MSL ramp test (original)

  • case2: Step response vs analytical y(t) = 1 - exp(-t)

  • case3: SteadyState init with constant input, y(0) = 2.0

  • case4: InitialOutput init, y(0) = 0.5

  • case5: InitialState with explicit x0 via enum, y(0) = 0.5

Usage

BlockComponents.Continuous.Tests.TransferFunction()

Behavior

Source

dyad
"""
Tests for TransferFunction block covering:
  - case1: MSL ramp test (original)
  - case2: Step response vs analytical y(t) = 1 - exp(-t)
  - case3: SteadyState init with constant input, y(0) = 2.0
  - case4: InitialOutput init, y(0) = 0.5
  - case5: InitialState with explicit x0 via enum, y(0) = 0.5
"""
test component TransferFunction
  ramp = BlockComponents.Sources.Ramp(offset = 0.5, start_time = 0.5, duration = 2.0, height = 1.0) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  tf = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.InitialState(x0 = [0.0])) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 20, "x2": 260, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  step = BlockComponents.Sources.Step(height = 1.0, offset = 0.0, start_time = 0.0) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 540, "y1": 180, "x2": 640, "y2": 280, "rot": 0}
      },
      "tags": []
    }
  }
  tf_step = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.InitialState(x0 = [0.0])) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 780, "y1": 80, "x2": 880, "y2": 180, "rot": 0}
      },
      "tags": []
    }
  }
  constant_src = BlockComponents.Sources.Constant(k = 2.0) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 240, "x2": 120, "y2": 340, "rot": 0}
      },
      "tags": []
    }
  }
  tf_ss = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.SteadyState()) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 240, "x2": 260, "y2": 340, "rot": 0}
      },
      "tags": []
    }
  }
  tf_io = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.InitialOutput(y_start = 0.5)) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 790, "y1": 250, "x2": 890, "y2": 350, "rot": 0}
      },
      "tags": []
    }
  }
  tf_x0 = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.InitialState(x0 = [0.5])) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 790, "y1": 400, "x2": 890, "y2": 500, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(ramp.y, tf.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(step.y, tf_step.u) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 720, "y": 230}, {"x": 720, "y": 130}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(constant_src.y, tf_ss.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(step.y, tf_io.u) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 720, "y": 230}, {"x": 720, "y": 300}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(step.y, tf_x0.u) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 720, "y": 230}, {"x": 720, "y": 450}], "E": 2}],
      "renderStyle": "standard"
    }
  }
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 1.1,
        "atol": {"tf.y": 0.001},
        "expect": {"initial": {"tf.y": 0}, "final": {"tf.y": 0.408}, "signals": ["tf.y"]}
      },
      "case2": {
        "stop": 5,
        "atol": {"tf_step.y": 0.001},
        "expect": {
          "initial": {"tf_step.y": 0},
          "final": {"tf_step.y": 0.9932},
          "signals": ["tf_step.y"]
        }
      },
      "case3": {
        "stop": 1,
        "atol": {"tf_ss.y": 0.001},
        "expect": {"initial": {"tf_ss.y": 2}, "final": {"tf_ss.y": 2}, "signals": ["tf_ss.y"]}
      },
      "case4": {
        "stop": 5,
        "atol": {"tf_io.y": 0.001},
        "expect": {
          "initial": {"tf_io.y": 0.5},
          "final": {"tf_io.y": 0.9966},
          "signals": ["tf_io.y"]
        }
      },
      "case5": {
        "stop": 5,
        "atol": {"tf_x0.y": 0.001},
        "expect": {
          "initial": {"tf_x0.y": 0.5},
          "final": {"tf_x0.y": 0.9966},
          "signals": ["tf_x0.y"]
        }
      }
    }
  }
}
end
Flattened Source
dyad
"""
Tests for TransferFunction block covering:
  - case1: MSL ramp test (original)
  - case2: Step response vs analytical y(t) = 1 - exp(-t)
  - case3: SteadyState init with constant input, y(0) = 2.0
  - case4: InitialOutput init, y(0) = 0.5
  - case5: InitialState with explicit x0 via enum, y(0) = 0.5
"""
test component TransferFunction
  ramp = BlockComponents.Sources.Ramp(offset = 0.5, start_time = 0.5, duration = 2.0, height = 1.0) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  tf = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.InitialState(x0 = [0.0])) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 20, "x2": 260, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  step = BlockComponents.Sources.Step(height = 1.0, offset = 0.0, start_time = 0.0) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 540, "y1": 180, "x2": 640, "y2": 280, "rot": 0}
      },
      "tags": []
    }
  }
  tf_step = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.InitialState(x0 = [0.0])) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 780, "y1": 80, "x2": 880, "y2": 180, "rot": 0}
      },
      "tags": []
    }
  }
  constant_src = BlockComponents.Sources.Constant(k = 2.0) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 240, "x2": 120, "y2": 340, "rot": 0}
      },
      "tags": []
    }
  }
  tf_ss = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.SteadyState()) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 240, "x2": 260, "y2": 340, "rot": 0}
      },
      "tags": []
    }
  }
  tf_io = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.InitialOutput(y_start = 0.5)) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 790, "y1": 250, "x2": 890, "y2": 350, "rot": 0}
      },
      "tags": []
    }
  }
  tf_x0 = BlockComponents.Continuous.TransferFunction(a = [1.0, 1.0], b = [1.0], init_mode = BlockComponents.Continuous.BlockInitMode.InitialState(x0 = [0.5])) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 790, "y1": 400, "x2": 890, "y2": 500, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(ramp.y, tf.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(step.y, tf_step.u) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 720, "y": 230}, {"x": 720, "y": 130}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(constant_src.y, tf_ss.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(step.y, tf_io.u) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 720, "y": 230}, {"x": 720, "y": 300}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(step.y, tf_x0.u) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 720, "y": 230}, {"x": 720, "y": 450}], "E": 2}],
      "renderStyle": "standard"
    }
  }
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 1.1,
        "atol": {"tf.y": 0.001},
        "expect": {"initial": {"tf.y": 0}, "final": {"tf.y": 0.408}, "signals": ["tf.y"]}
      },
      "case2": {
        "stop": 5,
        "atol": {"tf_step.y": 0.001},
        "expect": {
          "initial": {"tf_step.y": 0},
          "final": {"tf_step.y": 0.9932},
          "signals": ["tf_step.y"]
        }
      },
      "case3": {
        "stop": 1,
        "atol": {"tf_ss.y": 0.001},
        "expect": {"initial": {"tf_ss.y": 2}, "final": {"tf_ss.y": 2}, "signals": ["tf_ss.y"]}
      },
      "case4": {
        "stop": 5,
        "atol": {"tf_io.y": 0.001},
        "expect": {
          "initial": {"tf_io.y": 0.5},
          "final": {"tf_io.y": 0.9966},
          "signals": ["tf_io.y"]
        }
      },
      "case5": {
        "stop": 5,
        "atol": {"tf_x0.y": 0.001},
        "expect": {
          "initial": {"tf_x0.y": 0.5},
          "final": {"tf_x0.y": 0.9966},
          "signals": ["tf_x0.y"]
        }
      }
    }
  }
}
end


Test Cases

Test Case case1

julia
plt

Test Case case2

julia
plt

Test Case case3

julia
plt

Test Case case4

julia
plt

Test Case case5

julia
plt