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Math.Tests.Acos.md

Math.Tests.Acos ​

Computes the arc cosine of constant and time-varying inputs.

Connects a constant source with value 1 to an Acos block and verifies that acos(1) = 0.

Connects a sine source (amplitude 0.9, frequency 1/5, starting at t = 2) to a second Acos block. The input stays within the valid domain [-1, 1] while sweeping negative and positive values, exercising the arc cosine over its full output range [0, π].

Usage ​

BlockComponents.Math.Tests.Acos()

Behavior ​

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

Source ​

dyad
"""
Computes the arc cosine of constant and time-varying inputs.

Connects a constant source with value 1 to an Acos block and verifies that
acos(1) = 0.

Connects a sine source (amplitude 0.9, frequency 1/5, starting at t = 2) to a
second Acos block. The input stays within the valid domain [-1, 1] while
sweeping negative and positive values, exercising the arc cosine over its full
output range [0, π].
"""
test component Acos
  "Constant source providing the input value"
  c1 = BlockComponents.Sources.Constant(k = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source sweeping the valid input domain"
  sine = BlockComponents.Sources.Sine(start_time = 2, amplitude = 0.9, frequency = 1 / 5) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 190, "x2": 120, "y2": 290, "rot": 0}
      },
      "tags": []
    }
  }
  "Acos block under test"
  acos_block_1 = BlockComponents.Math.Acos() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 170, "y1": 20, "x2": 270, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Second Acos block under test"
  acos_block_2 = BlockComponents.Math.Acos() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 170, "y1": 190, "x2": 270, "y2": 290, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(c1.y, acos_block_1.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(sine.y, acos_block_2.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 10,
        "expect": {"signals": ["acos_block_1.y", "acos_block_2.y", "sine.y"]}
      }
    }
  }
}
end
Flattened Source
dyad
"""
Computes the arc cosine of constant and time-varying inputs.

Connects a constant source with value 1 to an Acos block and verifies that
acos(1) = 0.

Connects a sine source (amplitude 0.9, frequency 1/5, starting at t = 2) to a
second Acos block. The input stays within the valid domain [-1, 1] while
sweeping negative and positive values, exercising the arc cosine over its full
output range [0, π].
"""
test component Acos
  "Constant source providing the input value"
  c1 = BlockComponents.Sources.Constant(k = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source sweeping the valid input domain"
  sine = BlockComponents.Sources.Sine(start_time = 2, amplitude = 0.9, frequency = 1 / 5) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 190, "x2": 120, "y2": 290, "rot": 0}
      },
      "tags": []
    }
  }
  "Acos block under test"
  acos_block_1 = BlockComponents.Math.Acos() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 170, "y1": 20, "x2": 270, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Second Acos block under test"
  acos_block_2 = BlockComponents.Math.Acos() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 170, "y1": 190, "x2": 270, "y2": 290, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(c1.y, acos_block_1.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(sine.y, acos_block_2.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 10,
        "expect": {"signals": ["acos_block_1.y", "acos_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.Acos()
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+1, 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.acos_block_1.y])
dfr_case1 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Math.Tests.Acos_case1_sig0.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case1, idxs=[model_case1.acos_block_1.y], width=2, label="Actual value of acos_block_1.y")
if !isnothing(dfr_case1)
  scatter!(plt, dfr_case1.t, dfr_case1.expected, mc=:red, ms=3, label="Expected value of acos_block_1.y")
end
<< @setup-block not executed in draft mode >>
julia
plt
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julia
df_case1 = DataFrame(:t => sol_case1[:t], :actual => sol_case1[model_case1.acos_block_2.y])
dfr_case1 = try CSV.read(joinpath(snapshotsdir, "BlockComponents.Math.Tests.Acos_case1_sig1.ref"), DataFrame); catch e; nothing; end
plt = plot(sol_case1, idxs=[model_case1.acos_block_2.y], width=2, label="Actual value of acos_block_2.y")
if !isnothing(dfr_case1)
  scatter!(plt, dfr_case1.t, dfr_case1.expected, mc=:red, ms=3, label="Expected value of acos_block_2.y")
end
<< @setup-block not executed in draft mode >>
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.Acos_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
<< @example-block not executed in draft mode >>