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SquareTest.md

SquareTest ​

Connects a square wave generator to an integrator to test integration of a periodic signal.

This component demonstrates the integration of a square wave over time. It connects a Square signal generator (with amplitude 1, frequency 2 Hz, start time 0.5 seconds, and offset 0.7) to an Integrator block. The square wave alternates between values of 0.7 and 1.7, and when integrated, should reach approximately 3.537 at t=5 seconds.

Usage ​

BlockComponents.SquareTest()

Behavior ​

[connect(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.amplitude(1+4⌊signal.frequency(−signal.start_time+t)⌋−2⌊2signal.frequency(−signal.start_time+t)⌋),signal.offset)]

Source ​

dyad
"""
Connects a square wave generator to an integrator to test integration of a periodic signal.

This component demonstrates the integration of a square wave over time. It connects a Square
signal generator (with amplitude 1, frequency 2 Hz, start time 0.5 seconds, and offset 0.7)
to an Integrator block. The square wave alternates between values of 0.7 and 1.7, and when
integrated, should reach approximately 3.537 at t=5 seconds.
"""
test component SquareTest
  "Integrator block that accumulates the square wave input"
  integrator = Integrator() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 20, "x2": 260, "y2": 120, "rot": 0}
      }
    }
  }
  "Square wave generator with specified amplitude, frequency, start time and offset"
  signal = Square(amplitude = 1, frequency = 2, start_time = 0.5, offset = 0.7) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      }
    }
  }
relations
  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": {"integrator.x": 0.001},
        "expect": {
          "initial": {"signal.y": 0.7},
          "signals": ["signal.y", "integrator.x"],
          "final": {"signal.y": 1.7, "integrator.x": 3.5}
        }
      }
    }
  }
}
end
Flattened Source
dyad
"""
Connects a square wave generator to an integrator to test integration of a periodic signal.

This component demonstrates the integration of a square wave over time. It connects a Square
signal generator (with amplitude 1, frequency 2 Hz, start time 0.5 seconds, and offset 0.7)
to an Integrator block. The square wave alternates between values of 0.7 and 1.7, and when
integrated, should reach approximately 3.537 at t=5 seconds.
"""
test component SquareTest
  "Integrator block that accumulates the square wave input"
  integrator = Integrator() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 20, "x2": 260, "y2": 120, "rot": 0}
      }
    }
  }
  "Square wave generator with specified amplitude, frequency, start time and offset"
  signal = Square(amplitude = 1, frequency = 2, start_time = 0.5, offset = 0.7) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      }
    }
  }
relations
  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": {"integrator.x": 0.001},
        "expect": {
          "initial": {"signal.y": 0.7},
          "signals": ["signal.y", "integrator.x"],
          "final": {"signal.y": 1.7, "integrator.x": 3.5}
        }
      }
    }
  }
}
end


Test Cases ​

Test Case case1 ​

julia
plt

julia
plt