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Math.Tests.Sqrt.md

Math.Tests.Sqrt ​

Computes the square root of constant and time-varying inputs.

Connects a constant source with value 9 to a Sqrt block and verifies that sqrt(9) = 3. A second Sqrt block is driven by a sine wave (offset 5, amplitude 4) that stays non-negative (1..9) as required by the square-root domain while varying over time.

Usage ​

BlockComponents.Math.Tests.Sqrt()

Behavior ​

Source ​

dyad
"""
Computes the square root of constant and time-varying inputs.

Connects a constant source with value 9 to a Sqrt block and verifies that
sqrt(9) = 3. A second Sqrt block is driven by a sine wave (offset 5,
amplitude 4) that stays non-negative (1..9) as required by the square-root
domain while varying over time.
"""
test component Sqrt
  "Constant source providing the input value"
  c1 = BlockComponents.Sources.Constant(k = 9) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source kept non-negative for the sqrt domain"
  sine = BlockComponents.Sources.Sine(amplitude = 4, frequency = 1, offset = 5) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
  "Sqrt block under test"
  sqrt_block = BlockComponents.Math.Sqrt() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 20, "x2": 260, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Second Sqrt block driven by the sine source"
  sqrt_block_2 = BlockComponents.Math.Sqrt() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 140, "x2": 260, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(c1.y, sqrt_block.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(sine.y, sqrt_block_2.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {"stop": 1, "expect": {"signals": ["sqrt_block.y", "sqrt_block_2.y", "sine.y"]}}
    }
  }
}
end
Flattened Source
dyad
"""
Computes the square root of constant and time-varying inputs.

Connects a constant source with value 9 to a Sqrt block and verifies that
sqrt(9) = 3. A second Sqrt block is driven by a sine wave (offset 5,
amplitude 4) that stays non-negative (1..9) as required by the square-root
domain while varying over time.
"""
test component Sqrt
  "Constant source providing the input value"
  c1 = BlockComponents.Sources.Constant(k = 9) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 20, "x2": 120, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Sine source kept non-negative for the sqrt domain"
  sine = BlockComponents.Sources.Sine(amplitude = 4, frequency = 1, offset = 5) {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 20, "y1": 140, "x2": 120, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
  "Sqrt block under test"
  sqrt_block = BlockComponents.Math.Sqrt() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 20, "x2": 260, "y2": 120, "rot": 0}
      },
      "tags": []
    }
  }
  "Second Sqrt block driven by the sine source"
  sqrt_block_2 = BlockComponents.Math.Sqrt() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 160, "y1": 140, "x2": 260, "y2": 240, "rot": 0}
      },
      "tags": []
    }
  }
relations
  connect(c1.y, sqrt_block.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
  connect(sine.y, sqrt_block_2.u) {"Dyad": {"edges": [{"S": 1, "M": [], "E": 2}], "renderStyle": "standard"}}
metadata {
  "Dyad": {
    "icons": {"default": "dyad://BlockComponents/Example.svg"},
    "tests": {
      "case1": {"stop": 1, "expect": {"signals": ["sqrt_block.y", "sqrt_block_2.y", "sine.y"]}}
    }
  }
}
end


Test Cases ​

Test Case case1 ​

julia
plt

julia
plt

julia
plt