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Math.Tests.Power.md

Math.Tests.Power ​

Computes a constant base raised to constant and time-varying input powers.

Connects a constant source with value 2 to a Power block with base=3 and verifies that 3^2 = 9. A second Power block (base=2) is driven by a sine wave (amplitude 3) that sweeps negative and positive exponents, exercising 2^(-3)..2^(3).

Usage ​

BlockComponents.Math.Tests.Power()

Behavior ​

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

Source ​

dyad
"""
Computes a constant base raised to constant and time-varying input powers.

Connects a constant source with value 2 to a Power block with base=3 and
verifies that 3^2 = 9. A second Power block (base=2) is driven by a sine
wave (amplitude 3) that sweeps negative and positive exponents, exercising
2^(-3)..2^(3).
"""
test component Power
  "Constant source providing the exponent value"
  c1 = BlockComponents.Sources.Constant(k = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 0, "x2": 120, "y2": 100, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source sweeping negative and positive exponents"
  sine = BlockComponents.Sources.Sine(amplitude = 3, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
  "Power block under test with base=3"
  power_block = BlockComponents.Math.Power(base = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 20, "x2": 260, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Second Power block (base=2) driven by the sine source"
  power_block_2 = BlockComponents.Math.Power(base = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 140, "x2": 260, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(c1.y, power_block.u) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 140, "y": 50}, {"x": 140, "y": 70}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(sine.y, power_block_2.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 1,
        "expect": {"signals": ["power_block.y", "power_block_2.y", "sine.y"]}
      }
    }
  }
}
end
Flattened Source
dyad
"""
Computes a constant base raised to constant and time-varying input powers.

Connects a constant source with value 2 to a Power block with base=3 and
verifies that 3^2 = 9. A second Power block (base=2) is driven by a sine
wave (amplitude 3) that sweeps negative and positive exponents, exercising
2^(-3)..2^(3).
"""
test component Power
  "Constant source providing the exponent value"
  c1 = BlockComponents.Sources.Constant(k = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 0, "x2": 120, "y2": 100, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source sweeping negative and positive exponents"
  sine = BlockComponents.Sources.Sine(amplitude = 3, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
  "Power block under test with base=3"
  power_block = BlockComponents.Math.Power(base = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 20, "x2": 260, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Second Power block (base=2) driven by the sine source"
  power_block_2 = BlockComponents.Math.Power(base = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 140, "x2": 260, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(c1.y, power_block.u) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 140, "y": 50}, {"x": 140, "y": 70}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(sine.y, power_block_2.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 1,
        "expect": {"signals": ["power_block.y", "power_block_2.y", "sine.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.Math.Tests.Power()
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 = 1e+0, abstol=1e-6, reltol=1e-6)
sol_case1 = rebuild_sol(result_case1)
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julia
df_case1 = DataFrame(:t => sol_case1[:t], :actual => sol_case1[model_case1.power_block.y])
dfr_case1 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Math.Tests.Power_case1_sig0.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case1, idxs=[model_case1.power_block.y], width=2, label="Actual value of power_block.y")
if !isnothing(dfr_case1)
  scatter!(plt, dfr_case1.t, dfr_case1.expected, mc=:red, ms=3, label="Expected value of power_block.y")
end
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julia
plt
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julia
df_case1 = DataFrame(:t => sol_case1[:t], :actual => sol_case1[model_case1.power_block_2.y])
dfr_case1 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Math.Tests.Power_case1_sig1.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case1, idxs=[model_case1.power_block_2.y], width=2, label="Actual value of power_block_2.y")
if !isnothing(dfr_case1)
  scatter!(plt, dfr_case1.t, dfr_case1.expected, mc=:red, ms=3, label="Expected value of power_block_2.y")
end
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julia
plt
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julia
df_case1 = DataFrame(:t => sol_case1[:t], :actual => sol_case1[model_case1.sine.y])
dfr_case1 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Math.Tests.Power_case1_sig2.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case1, idxs=[model_case1.sine.y], width=2, label="Actual value of sine.y")
if !isnothing(dfr_case1)
  scatter!(plt, dfr_case1.t, dfr_case1.expected, mc=:red, ms=3, label="Expected value of sine.y")
end
<< @setup-block not executed in draft mode >>
julia
plt
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