LIBRARY

Math.Tests.Division

Division operation that divides a first input by a second input.

Performs a simple division operation where the output y = u1/u2, dividing the first input (u1) by the second input (u2). This component requires that the second input (denominator) is non-zero to avoid division by zero errors. A second division block is driven by a sine numerator (sweeping negative and positive values) and a sine denominator kept strictly positive (3.5..6.5).

Usage

BlockComponents.Math.Tests.Division()

Behavior

Source

"""
Division operation that divides a first input by a second input.

Performs a simple division operation where the output y = u1/u2, dividing the first input (`u1`)
by the second input (`u2`). This component requires that the second input (denominator) is non-zero
to avoid division by zero errors. A second division block is driven by a sine numerator (sweeping
negative and positive values) and a sine denominator kept strictly positive (3.5..6.5).
"""
test component Division
  "Constant block that outputs the value 3 (numerator)"
  c1 = BlockComponents.Sources.Constant(k = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 30, "y1": 80, "x2": 130, "y2": 180, "rot": 0}
      }
    }
  }
  "Constant block that outputs the value 2 (denominator)"
  c2 = BlockComponents.Sources.Constant(k = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 30, "y1": 270, "x2": 130, "y2": 370, "rot": 0}
      }
    }
  }
  "Division block that divides the first input (u1) by the second input (u2)"
  division = BlockComponents.Math.Division() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 330, "y1": 170, "x2": 430, "y2": 270, "rot": 0}
      }
    }
  }
  "Sine numerator sweeping negative and positive values"
  num_sine = BlockComponents.Sources.Sine(amplitude = 3, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 30, "y1": 470, "x2": 130, "y2": 570, "rot": 0}
      }
    }
  }
  "Sine denominator kept strictly positive to avoid division by zero"
  den_sine = BlockComponents.Sources.Sine(amplitude = 1.5, frequency = 1, offset = 5) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 30, "y1": 660, "x2": 130, "y2": 760, "rot": 0}
      }
    }
  }
  "Second division block driven by the sine sources"
  division_2 = BlockComponents.Math.Division() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 330, "y1": 560, "x2": 430, "y2": 660, "rot": 0}
      }
    }
  }
relations
  "Connects the output of constant block c1 (3) to the numerator input of the division block"
  connect(division.u1, c1.y) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 190, "y": 190}, {"x": 190, "y": 130}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  "Connects the output of constant block c2 (2) to the denominator input of the division block"
  connect(division.u2, c2.y) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 190, "y": 250}, {"x": 190, "y": 320}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(division_2.u1, num_sine.y) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 285, "y": 580}, {"x": 285, "y": 520}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(division_2.u2, den_sine.y) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 285, "y": 640}, {"x": 285, "y": 710}], "E": 2}],
      "renderStyle": "standard"
    }
  }
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 5,
        "expect": {"signals": ["division.y", "division_2.y", "num_sine.y", "den_sine.y"]}
      }
    }
  }
}
end

Flattened Source

"""
Division operation that divides a first input by a second input.

Performs a simple division operation where the output y = u1/u2, dividing the first input (`u1`)
by the second input (`u2`). This component requires that the second input (denominator) is non-zero
to avoid division by zero errors. A second division block is driven by a sine numerator (sweeping
negative and positive values) and a sine denominator kept strictly positive (3.5..6.5).
"""
test component Division
  "Constant block that outputs the value 3 (numerator)"
  c1 = BlockComponents.Sources.Constant(k = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 30, "y1": 80, "x2": 130, "y2": 180, "rot": 0}
      }
    }
  }
  "Constant block that outputs the value 2 (denominator)"
  c2 = BlockComponents.Sources.Constant(k = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 30, "y1": 270, "x2": 130, "y2": 370, "rot": 0}
      }
    }
  }
  "Division block that divides the first input (u1) by the second input (u2)"
  division = BlockComponents.Math.Division() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 330, "y1": 170, "x2": 430, "y2": 270, "rot": 0}
      }
    }
  }
  "Sine numerator sweeping negative and positive values"
  num_sine = BlockComponents.Sources.Sine(amplitude = 3, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 30, "y1": 470, "x2": 130, "y2": 570, "rot": 0}
      }
    }
  }
  "Sine denominator kept strictly positive to avoid division by zero"
  den_sine = BlockComponents.Sources.Sine(amplitude = 1.5, frequency = 1, offset = 5) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 30, "y1": 660, "x2": 130, "y2": 760, "rot": 0}
      }
    }
  }
  "Second division block driven by the sine sources"
  division_2 = BlockComponents.Math.Division() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 330, "y1": 560, "x2": 430, "y2": 660, "rot": 0}
      }
    }
  }
relations
  "Connects the output of constant block c1 (3) to the numerator input of the division block"
  connect(division.u1, c1.y) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 190, "y": 190}, {"x": 190, "y": 130}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  "Connects the output of constant block c2 (2) to the denominator input of the division block"
  connect(division.u2, c2.y) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 190, "y": 250}, {"x": 190, "y": 320}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(division_2.u1, num_sine.y) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 285, "y": 580}, {"x": 285, "y": 520}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(division_2.u2, den_sine.y) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 285, "y": 640}, {"x": 285, "y": 710}], "E": 2}],
      "renderStyle": "standard"
    }
  }
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 5,
        "expect": {"signals": ["division.y", "division_2.y", "num_sine.y", "den_sine.y"]}
      }
    }
  }
}
end

Test Cases

Test Case case1

plt

plt

plt

plt

Related

• Examples

• Experiments

• Analyses

• Tests

  • Constant

  • Division

  • Division

  • Sine