Acosh Acosh Icon

Mathematical.Acosh

Acosh

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

Description

The Acosh block computes the inverse hyperbolic cosine of input u using the built-in acosh() function. The output y is defined as: y = acosh(u). Note: acosh(u) is only defined for u >= 1.

Variables

  • u(t): Input signal (must be >= 1)
  • y(t): Output signal (inverse hyperbolic cosine of u)

Examples

  • u = 1 → y = 0
  • u = 2 → y ≈ 1.317
  • u = 5 → y ≈ 2.293

This component extends from BlockComponents.SISO

Usage

PrimitiveComponents.Mathematical.Acosh()

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

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

Source

"""
    Acosh

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

# Description
The Acosh block computes the inverse hyperbolic cosine of input `u` using the built-in `acosh()` function.
The output `y` is defined as: y = acosh(u).
Note: acosh(u) is only defined for u >= 1.

# Variables
- `u(t)`: Input signal (must be >= 1)
- `y(t)`: Output signal (inverse hyperbolic cosine of u)

# Examples
- u = 1       → y = 0
- u = 2       → y ≈ 1.317
- u = 5       → y ≈ 2.293
"""
component Acosh
  extends BlockComponents.SISO
relations
  y = acosh(u)
metadata {
  "Dyad": {
    "icons": {"default": "dyad://PrimitiveComponents/Acosh.svg"},
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100}]
  }
}
end
Flattened Source 
"""
    Acosh

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

# Description
The Acosh block computes the inverse hyperbolic cosine of input `u` using the built-in `acosh()` function.
The output `y` is defined as: y = acosh(u).
Note: acosh(u) is only defined for u >= 1.

# Variables
- `u(t)`: Input signal (must be >= 1)
- `y(t)`: Output signal (inverse hyperbolic cosine of u)

# Examples
- u = 1       → y = 0
- u = 2       → y ≈ 1.317
- u = 5       → y ≈ 2.293
"""
component Acosh
  "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 = acosh(u)
metadata {
  "Dyad": {
    "labels": [{"label": "$(instance)", "x": 500, "y": 1100, "rot": 0}],
    "icons": {"default": "dyad://PrimitiveComponents/Acosh.svg"}
  }
}
end


Test Cases

No test cases defined.

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