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Math.PolarToRectangular.md

Math.PolarToRectangular ​

Converts polar coordinates to rectangular coordinates.

Computes the rectangular (Cartesian) representation from polar inputs:

Usage ​

BlockComponents.Math.PolarToRectangular()

Connectors ​

  • u_abs - This connector represents a real signal as an input to a component (RealInput)

  • u_arg - This connector represents a real signal as an input to a component (RealInput)

  • y_re - This connector represents a real signal as an output from a component (RealOutput)

  • y_im - This connector represents a real signal as an output from a component (RealOutput)

Behavior ​

Source ​

dyad
"""
Converts polar coordinates to rectangular coordinates.

Computes the rectangular (Cartesian) representation from polar inputs:

```math
y_{\\text{re}} = u_{\\text{abs}} \\cdot \\cos(u_{\\text{arg}})
```
```math
y_{\\text{im}} = u_{\\text{abs}} \\cdot \\sin(u_{\\text{arg}})
```
"""
component PolarToRectangular
  "Absolute value (length) of the polar representation"
  u_abs = RealInput() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": -100, "y1": 110, "x2": 0, "y2": 210, "rot": 0}
      },
      "tags": []
    }
  }
  "Angle of the polar representation"
  u_arg = RealInput(units = "rad") {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": -100, "y1": 730, "x2": 0, "y2": 830, "rot": 0}
      },
      "tags": []
    }
  }
  "Real part of the rectangular representation"
  y_re = RealOutput() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 1000, "y1": 120, "x2": 1100, "y2": 220, "rot": 0}
      },
      "tags": []
    }
  }
  "Imaginary part of the rectangular representation"
  y_im = RealOutput() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 1000, "y1": 730, "x2": 1100, "y2": 830, "rot": 0}
      },
      "tags": []
    }
  }
relations
  "Computes the real part from polar components"
  y_re = u_abs * cos(u_arg)
  "Computes the imaginary part from polar components"
  y_im = u_abs * sin(u_arg)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/PolarToRectangular.svg"}
  }
}
end
Flattened Source
dyad
"""
Converts polar coordinates to rectangular coordinates.

Computes the rectangular (Cartesian) representation from polar inputs:

```math
y_{\\text{re}} = u_{\\text{abs}} \\cdot \\cos(u_{\\text{arg}})
```
```math
y_{\\text{im}} = u_{\\text{abs}} \\cdot \\sin(u_{\\text{arg}})
```
"""
component PolarToRectangular
  "Absolute value (length) of the polar representation"
  u_abs = RealInput() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": -100, "y1": 110, "x2": 0, "y2": 210, "rot": 0}
      },
      "tags": []
    }
  }
  "Angle of the polar representation"
  u_arg = RealInput(units = "rad") {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": -100, "y1": 730, "x2": 0, "y2": 830, "rot": 0}
      },
      "tags": []
    }
  }
  "Real part of the rectangular representation"
  y_re = RealOutput() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 1000, "y1": 120, "x2": 1100, "y2": 220, "rot": 0}
      },
      "tags": []
    }
  }
  "Imaginary part of the rectangular representation"
  y_im = RealOutput() {
    "Dyad": {
      "placement": {
        "diagram": {"iconName": "default", "x1": 1000, "y1": 730, "x2": 1100, "y2": 830, "rot": 0}
      },
      "tags": []
    }
  }
relations
  "Computes the real part from polar components"
  y_re = u_abs * cos(u_arg)
  "Computes the imaginary part from polar components"
  y_im = u_abs * sin(u_arg)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://BlockComponents/PolarToRectangular.svg"}
  }
}
end


Test Cases ​

No test cases defined.