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Math.Tests.LinearDependency.md

Math.Tests.LinearDependency

Computes a linear combination of constant and time-varying inputs.

Connects constant sources with values 2 and 3 to a LinearDependency block with y0=1, k1=2, k2=3, and verifies that y = 1 + 2_2 + 3_3 = 14. A second LinearDependency block with the same coefficients is driven by two sine waves that sweep negative and positive values.

Usage

BlockComponents.Math.Tests.LinearDependency()

Behavior

Source

dyad
"""
Computes a linear combination of constant and time-varying inputs.

Connects constant sources with values 2 and 3 to a LinearDependency block
with y0=1, k1=2, k2=3, and verifies that y = 1 + 2*2 + 3*3 = 14. A second
LinearDependency block with the same coefficients is driven by two sine
waves that sweep negative and positive values.
"""
test component LinearDependency
  "Constant source providing the first input"
  c1 = BlockComponents.Sources.Constant(k = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Constant source providing the second input"
  c2 = BlockComponents.Sources.Constant(k = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
  "LinearDependency block under test"
  lin_block = BlockComponents.Math.LinearDependency(y0 = 1, k1 = 2, k2 = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 50, "x2": 260, "y2": 150, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source for the first input of the second block"
  sine1 = BlockComponents.Sources.Sine(amplitude = 2, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 290, "y1": 20, "x2": 390, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source for the second input of the second block"
  sine2 = BlockComponents.Sources.Sine(amplitude = 3, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 290, "y1": 140, "x2": 390, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
  "Second LinearDependency block driven by the sine sources"
  lin_block_2 = BlockComponents.Math.LinearDependency(y0 = 1, k1 = 2, k2 = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 440, "y1": 50, "x2": 540, "y2": 150, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(c1.y, lin_block.u1) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(c2.y, lin_block.u2) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 140, "y": 190}, {"x": 140, "y": 130}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(sine1.y, lin_block_2.u1) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(sine2.y, lin_block_2.u2) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 410, "y": 190}, {"x": 410, "y": 130}], "E": 2}],
      "renderStyle": "standard"
    }
  }
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 1,
        "expect": {"signals": ["lin_block.y", "lin_block_2.y", "sine1.y", "sine2.y"]}
      }
    }
  }
}
end
Flattened Source
dyad
"""
Computes a linear combination of constant and time-varying inputs.

Connects constant sources with values 2 and 3 to a LinearDependency block
with y0=1, k1=2, k2=3, and verifies that y = 1 + 2*2 + 3*3 = 14. A second
LinearDependency block with the same coefficients is driven by two sine
waves that sweep negative and positive values.
"""
test component LinearDependency
  "Constant source providing the first input"
  c1 = BlockComponents.Sources.Constant(k = 2) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Constant source providing the second input"
  c2 = BlockComponents.Sources.Constant(k = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
  "LinearDependency block under test"
  lin_block = BlockComponents.Math.LinearDependency(y0 = 1, k1 = 2, k2 = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 50, "x2": 260, "y2": 150, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source for the first input of the second block"
  sine1 = BlockComponents.Sources.Sine(amplitude = 2, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 290, "y1": 20, "x2": 390, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source for the second input of the second block"
  sine2 = BlockComponents.Sources.Sine(amplitude = 3, frequency = 1) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 290, "y1": 140, "x2": 390, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
  "Second LinearDependency block driven by the sine sources"
  lin_block_2 = BlockComponents.Math.LinearDependency(y0 = 1, k1 = 2, k2 = 3) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 440, "y1": 50, "x2": 540, "y2": 150, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(c1.y, lin_block.u1) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(c2.y, lin_block.u2) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 140, "y": 190}, {"x": 140, "y": 130}], "E": 2}],
      "renderStyle": "standard"
    }
  }
  connect(sine1.y, lin_block_2.u1) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(sine2.y, lin_block_2.u2) {
    "Dyad": {
      "edges": [{"S": 1, "M": [{"x": 410, "y": 190}, {"x": 410, "y": 130}], "E": 2}],
      "renderStyle": "standard"
    }
  }
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {
        "stop": 1,
        "expect": {"signals": ["lin_block.y", "lin_block_2.y", "sine1.y", "sine2.y"]}
      }
    }
  }
}
end


Test Cases

Test Case case1

julia
plt

julia
plt

julia
plt

julia
plt