SineTest

Test component that integrates a sine wave with specific parameters.

This component connects a configurable sine wave generator to an integrator and verifies correct numerical behavior through the test case in metadata. The sine wave has an amplitude of 1, frequency of 2 Hz, start time of 0.5s, offset of 0.5, and phase shift of 1.57 radians. The integrator accumulates the sine wave signal over time, and the test case verifies both signals meet expected values.

Usage

BlockComponents.SineTest()

Behavior

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

Source

"""
Test component that integrates a sine wave with specific parameters.

This component connects a configurable sine wave generator to an integrator and
verifies correct numerical behavior through the test case in metadata. The sine
wave has an amplitude of 1, frequency of 2 Hz, start time of 0.5s, offset of 0.5,
and phase shift of 1.57 radians. The integrator accumulates the sine wave signal
over time, and the test case verifies both signals meet expected values.
"""
test component SineTest
  "Integrator that accumulates the sine wave input"
  integrator = Integrator() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 155, "y1": 20, "x2": 255, "y2": 120, "rot": 0}
      }
    }
  }
  "Sine wave generator with specific parameters for testing"
  signal = Sine(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 sine wave output to the integrator input"
  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

"""
Test component that integrates a sine wave with specific parameters.

This component connects a configurable sine wave generator to an integrator and
verifies correct numerical behavior through the test case in metadata. The sine
wave has an amplitude of 1, frequency of 2 Hz, start time of 0.5s, offset of 0.5,
and phase shift of 1.57 radians. The integrator accumulates the sine wave signal
over time, and the test case verifies both signals meet expected values.
"""
test component SineTest
  "Integrator that accumulates the sine wave input"
  integrator = Integrator() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 155, "y1": 20, "x2": 255, "y2": 120, "rot": 0}
      }
    }
  }
  "Sine wave generator with specific parameters for testing"
  signal = Sine(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 sine wave output to the integrator input"
  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

  • Integrator

  • Sine