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CosineTest.md

CosineTest ​

Tests the integration of a cosine signal with configurable parameters.

This component connects a cosine signal generator to an integrator and verifies the correct integration behavior through test cases. The cosine signal is defined by:

y=offset+amplitude⋅cos⁡(2π⋅frequency⋅(time−start_time)+phase)

The integration of this signal is verified against expected values at specific time points.

Usage ​

CosineTest()

Behavior ​

signal.y(t)=integrator.u(t)dintegrator.x(t)dt=integrator.kintegrator.u(t)integrator.y(t)=integrator.x(t)signal.y(t)=ifelse(signal.start_time<t,signal.offset+signal.amplitudecos⁡(signal.phase+6.2832signal.frequency(−signal.start_time+t)),signal.offset)

Source ​

dyad
# Tests the integration of a cosine signal with configurable parameters.
#
# This component connects a cosine signal generator to an integrator and verifies the correct
# integration behavior through test cases. The cosine signal is defined by:
#
# ```math
# y = offset + amplitude \cdot \cos(2\pi \cdot frequency \cdot (time - start\_time) + phase)
# ```
#
# The integration of this signal is verified against expected values at specific time points.
test component CosineTest
  # Integrator component that accumulates the input signal
  integrator = Integrator()
  # Cosine signal generator with specified amplitude, frequency, start time, offset, and phase
  signal = Cosine(amplitude=1, frequency=2, start_time=0.5, offset=0.5, phase=3.14)
relations
  # Connects the output of the cosine signal to the input of the integrator
  connect(signal.y, integrator.u)
metadata {
  "Dyad": {
    "tests": {
      "case1": {
        "stop": 5,
        "atol": {"signal.y": 0.001, "integrator.x": 0.001},
        "expect": {
          "initial": {"signal.y": 0.5},
          "signals": ["signal.y", "integrator.x"],
          "final": {"signal.y": -0.49999, "integrator.x": 2.45255}
        }
      }
    }
  }
}
end
Flattened Source
dyad
# Tests the integration of a cosine signal with configurable parameters.
#
# This component connects a cosine signal generator to an integrator and verifies the correct
# integration behavior through test cases. The cosine signal is defined by:
#
# ```math
# y = offset + amplitude \cdot \cos(2\pi \cdot frequency \cdot (time - start\_time) + phase)
# ```
#
# The integration of this signal is verified against expected values at specific time points.
test component CosineTest
  # Integrator component that accumulates the input signal
  integrator = Integrator()
  # Cosine signal generator with specified amplitude, frequency, start time, offset, and phase
  signal = Cosine(amplitude=1, frequency=2, start_time=0.5, offset=0.5, phase=3.14)
relations
  # Connects the output of the cosine signal to the input of the integrator
  connect(signal.y, integrator.u)
metadata {
  "Dyad": {
    "tests": {
      "case1": {
        "stop": 5,
        "atol": {"signal.y": 0.001, "integrator.x": 0.001},
        "expect": {
          "initial": {"signal.y": 0.5},
          "signals": ["signal.y", "integrator.x"],
          "final": {"signal.y": -0.49999, "integrator.x": 2.45255}
        }
      }
    }
  }
}
end


Test Cases ​

Test Case case1 ​

julia
plt

julia
plt