Mathematical.Atanh

Atanh

A component that computes the inverse hyperbolic tangent of the input signal.

Description

The Atanh block computes the inverse hyperbolic tangent of input u using the built-in atanh() function. The output y is defined as: y = atanh(u). Note: atanh(u) is only defined for -1 < u < 1.

Variables

• u(t): Input signal (must be in range (-1, 1))
• y(t): Output signal (inverse hyperbolic tangent of u)

Examples

• u = 0 → y = 0
• u = 0.5 → y ≈ 0.549
• u = -0.5 → y ≈ -0.549

This component extends from BlockComponents.SISO

Usage

PrimitiveComponents.Mathematical.Atanh()

Connectors

• u - This connector represents a real signal as an input to a component (RealInput)
• y - This connector represents a real signal as an output from a component (RealOutput)

Behavior

\[ \begin{align} y\left( t \right) &= \mathrm{arctanh}\left( u\left( t \right) \right) \end{align} \]

Source

"""
    Atanh

A component that computes the inverse hyperbolic tangent of the input signal.

# Description
The Atanh block computes the inverse hyperbolic tangent of input `u` using the built-in `atanh()` function.
The output `y` is defined as: y = atanh(u).
Note: atanh(u) is only defined for -1 < u < 1.

# Variables
- `u(t)`: Input signal (must be in range (-1, 1))
- `y(t)`: Output signal (inverse hyperbolic tangent of u)

# Examples
- u = 0       → y = 0
- u = 0.5     → y ≈ 0.549
- u = -0.5    → y ≈ -0.549
"""
component Atanh
  extends BlockComponents.SISO
relations
  y = atanh(u)
metadata {
  "Dyad": {
    "icons": {"default": "dyad://PrimitiveComponents/Atanh.svg"},
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100}]
  }
}
end

"""
    Atanh

A component that computes the inverse hyperbolic tangent of the input signal.

# Description
The Atanh block computes the inverse hyperbolic tangent of input `u` using the built-in `atanh()` function.
The output `y` is defined as: y = atanh(u).
Note: atanh(u) is only defined for -1 < u < 1.

# Variables
- `u(t)`: Input signal (must be in range (-1, 1))
- `y(t)`: Output signal (inverse hyperbolic tangent of u)

# Examples
- u = 0       → y = 0
- u = 0.5     → y ≈ 0.549
- u = -0.5    → y ≈ -0.549
"""
component Atanh
  "Input signal port"
  u = RealInput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "input", "x1": -100, "y1": 450, "x2": 0, "y2": 550, "rot": 0},
        "diagram": {"iconName": "input", "x1": -100, "y1": 450, "x2": 0, "y2": 550, "rot": 0}
      }
    }
  }
  "Output signal port"
  y = RealOutput() {
    "Dyad": {
      "placement": {
        "icon": {"iconName": "output", "x1": 1000, "y1": 450, "x2": 1100, "y2": 550, "rot": 0},
        "diagram": {"iconName": "output", "x1": 1000, "y1": 450, "x2": 1100, "y2": 550, "rot": 0}
      }
    }
  }
relations
  y = atanh(u)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://PrimitiveComponents/Atanh.svg"}
  }
}
end

Test Cases

No test cases defined.

Related

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