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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

julia
using BlockComponents #hide
using ModelingToolkit #hide
@named sys = BlockComponents.Continuous.Tests.TransferFunction() #hide
let eqs = full_equations(sys); Base.length(eqs) > 25 ? nothing : eqs end #hide
<< @example-block not executed in draft mode >>

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

julia
using BlockComponents
using DyadInterface: TransientAnalysis, rebuild_sol, ODEAlg
using ModelingToolkit: toggle_namespacing, get_initial_conditions, @named
using CSV, DataFrames, Plots

snapshotsdir = joinpath(dirname(dirname(pathof(BlockComponents))), "test", "snapshots")
<< @setup-block not executed in draft mode >>

Test Case case1

julia
@named model_case1 = BlockComponents.Continuous.Tests.TransferFunction()
model_case1 = toggle_namespacing(model_case1, false)

model_case1 = toggle_namespacing(model_case1, true)
result_case1 = TransientAnalysis(; model = model_case1, alg = ODEAlg.Auto(), start = 0e+0, stop = 1.1e+0, abstol=1e-6, reltol=1e-6)
sol_case1 = rebuild_sol(result_case1)
<< @setup-block not executed in draft mode >>
julia
df_case1 = DataFrame(:t => sol_case1[:t], :actual => sol_case1[model_case1.tf.y])
dfr_case1 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Continuous.Tests.TransferFunction_case1_sig0.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case1, idxs=[model_case1.tf.y], width=2, label="Actual value of tf.y")
if !isnothing(dfr_case1)
  scatter!(plt, dfr_case1.t, dfr_case1.expected, mc=:red, ms=3, label="Expected value of tf.y")
end
scatter!(plt, [df_case1.t[1]], [0], label="Initial Condition for `tf.y`")
scatter!(plt, [df_case1.t[end]], [0.408], label="Final Condition for `tf.y`")
<< @setup-block not executed in draft mode >>
julia
plt
<< @example-block not executed in draft mode >>

Test Case case2

julia
@named model_case2 = BlockComponents.Continuous.Tests.TransferFunction()
model_case2 = toggle_namespacing(model_case2, false)

model_case2 = toggle_namespacing(model_case2, true)
result_case2 = TransientAnalysis(; model = model_case2, alg = ODEAlg.Auto(), start = 0e+0, stop = 5e+0, abstol=1e-6, reltol=1e-6)
sol_case2 = rebuild_sol(result_case2)
<< @setup-block not executed in draft mode >>
julia
df_case2 = DataFrame(:t => sol_case2[:t], :actual => sol_case2[model_case2.tf_step.y])
dfr_case2 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Continuous.Tests.TransferFunction_case2_sig0.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case2, idxs=[model_case2.tf_step.y], width=2, label="Actual value of tf_step.y")
if !isnothing(dfr_case2)
  scatter!(plt, dfr_case2.t, dfr_case2.expected, mc=:red, ms=3, label="Expected value of tf_step.y")
end
scatter!(plt, [df_case2.t[1]], [0], label="Initial Condition for `tf_step.y`")
scatter!(plt, [df_case2.t[end]], [0.9932], label="Final Condition for `tf_step.y`")
<< @setup-block not executed in draft mode >>
julia
plt
<< @example-block not executed in draft mode >>

Test Case case3

julia
@named model_case3 = BlockComponents.Continuous.Tests.TransferFunction()
model_case3 = toggle_namespacing(model_case3, false)

model_case3 = toggle_namespacing(model_case3, true)
result_case3 = TransientAnalysis(; model = model_case3, alg = ODEAlg.Auto(), start = 0e+0, stop = 1e+0, abstol=1e-6, reltol=1e-6)
sol_case3 = rebuild_sol(result_case3)
<< @setup-block not executed in draft mode >>
julia
df_case3 = DataFrame(:t => sol_case3[:t], :actual => sol_case3[model_case3.tf_ss.y])
dfr_case3 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Continuous.Tests.TransferFunction_case3_sig0.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case3, idxs=[model_case3.tf_ss.y], width=2, label="Actual value of tf_ss.y")
if !isnothing(dfr_case3)
  scatter!(plt, dfr_case3.t, dfr_case3.expected, mc=:red, ms=3, label="Expected value of tf_ss.y")
end
scatter!(plt, [df_case3.t[1]], [2], label="Initial Condition for `tf_ss.y`")
scatter!(plt, [df_case3.t[end]], [2], label="Final Condition for `tf_ss.y`")
<< @setup-block not executed in draft mode >>
julia
plt
<< @example-block not executed in draft mode >>

Test Case case4

julia
@named model_case4 = BlockComponents.Continuous.Tests.TransferFunction()
model_case4 = toggle_namespacing(model_case4, false)

model_case4 = toggle_namespacing(model_case4, true)
result_case4 = TransientAnalysis(; model = model_case4, alg = ODEAlg.Auto(), start = 0e+0, stop = 5e+0, abstol=1e-6, reltol=1e-6)
sol_case4 = rebuild_sol(result_case4)
<< @setup-block not executed in draft mode >>
julia
df_case4 = DataFrame(:t => sol_case4[:t], :actual => sol_case4[model_case4.tf_io.y])
dfr_case4 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Continuous.Tests.TransferFunction_case4_sig0.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case4, idxs=[model_case4.tf_io.y], width=2, label="Actual value of tf_io.y")
if !isnothing(dfr_case4)
  scatter!(plt, dfr_case4.t, dfr_case4.expected, mc=:red, ms=3, label="Expected value of tf_io.y")
end
scatter!(plt, [df_case4.t[1]], [0.5], label="Initial Condition for `tf_io.y`")
scatter!(plt, [df_case4.t[end]], [0.9966], label="Final Condition for `tf_io.y`")
<< @setup-block not executed in draft mode >>
julia
plt
<< @example-block not executed in draft mode >>

Test Case case5

julia
@named model_case5 = BlockComponents.Continuous.Tests.TransferFunction()
model_case5 = toggle_namespacing(model_case5, false)

model_case5 = toggle_namespacing(model_case5, true)
result_case5 = TransientAnalysis(; model = model_case5, alg = ODEAlg.Auto(), start = 0e+0, stop = 5e+0, abstol=1e-6, reltol=1e-6)
sol_case5 = rebuild_sol(result_case5)
<< @setup-block not executed in draft mode >>
julia
df_case5 = DataFrame(:t => sol_case5[:t], :actual => sol_case5[model_case5.tf_x0.y])
dfr_case5 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Continuous.Tests.TransferFunction_case5_sig0.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case5, idxs=[model_case5.tf_x0.y], width=2, label="Actual value of tf_x0.y")
if !isnothing(dfr_case5)
  scatter!(plt, dfr_case5.t, dfr_case5.expected, mc=:red, ms=3, label="Expected value of tf_x0.y")
end
scatter!(plt, [df_case5.t[1]], [0.5], label="Initial Condition for `tf_x0.y`")
scatter!(plt, [df_case5.t[end]], [0.9966], label="Final Condition for `tf_x0.y`")
<< @setup-block not executed in draft mode >>
julia
plt
<< @example-block not executed in draft mode >>