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:

$$y=offset+amplitude\cdot \cos (2\pi \cdot frequency\cdot (time-start\mathrm{\_}time)+phase)$$

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

Usage

BlockComponents.CosineTest()

Behavior

$$\left[\begin{array}{c}\mathrm{connect}(signa{l}_{+}y(t),integrato{r}_{+}u(t))\\ \frac{\mathrm{d}\mathtt{integrator}\mathtt{.}\mathtt{x}\left(t\right)}{\mathrm{d}t}=\mathtt{integrator}\mathtt{.}\mathtt{k}\mathtt{integrator}\mathtt{.}\mathtt{u}\left(t\right)\\ \mathtt{integrator}\mathtt{.}\mathtt{y}\left(t\right)=\mathtt{integrator}\mathtt{.}\mathtt{x}\left(t\right)\\ \mathtt{signal}\mathtt{.}\mathtt{y}\left(t\right)=\mathtt{signal}\mathtt{.}\mathtt{offset}+\mathtt{signal}\mathtt{.}\mathtt{amplitude}ifelse(t\ge \mathtt{signal}\mathtt{.}\mathtt{start}\mathtt{\_}\mathtt{time},\cos (\mathtt{signal}\mathtt{.}\mathtt{phase}+6.2832\mathtt{signal}\mathtt{.}\mathtt{frequency}(-\mathtt{signal}\mathtt{.}\mathtt{start}\mathtt{\_}\mathtt{time}+t)),\cos \left(\mathtt{signal}\mathtt{.}\mathtt{phase}\right))\end{array}\right]$$

Source

"""
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() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 150, "y1": 20, "x2": 250, "y2": 120, "rot": 0}
      }
    }
  }
  "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 = pi / 4) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      }
    }
  }
relations
  "Connects the output of the cosine signal to the input of the integrator"
  connect(signal.y, integrator.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 5,
        "atol": {"signal.y": 0.001, "integrator.x": 0.001},
        "expect": {
          "initial": {"signal.y": 1.207},
          "signals": ["signal.y", "integrator.x"],
          "final": {"signal.y": 1.207, "integrator.x": 2.853}
        }
      }
    }
  }
}
end

Flattened Source

"""
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() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 150, "y1": 20, "x2": 250, "y2": 120, "rot": 0}
      }
    }
  }
  "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 = pi / 4) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      }
    }
  }
relations
  "Connects the output of the cosine signal to the input of the integrator"
  connect(signal.y, integrator.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 5,
        "atol": {"signal.y": 0.001, "integrator.x": 0.001},
        "expect": {
          "initial": {"signal.y": 1.207},
          "signals": ["signal.y", "integrator.x"],
          "final": {"signal.y": 1.207, "integrator.x": 2.853}
        }
      }
    }
  }
}
end

Test Cases

Test Case case1

plt

plt

Related

• Examples

• Experiments

• Analyses

• Tests

  • Cosine

  • Integrator