Acos Acos Icon

Mathematical.Acos

Acos

A component that computes the inverse cosine (arccos) of the input signal.

Description

The Acos block computes the inverse cosine of input u using the built-in acos() function. The output y is defined as: y = acos(u). Note: The input u must be in the range [-1, 1].

Variables

  • u(t): Input signal (must be in range [-1, 1])
  • y(t): Output signal (arccosine of u, in radians)

Examples

  • u = 1 → y = 0
  • u = 0 → y = π/2
  • u = -1 → y = π

This component extends from BlockComponents.SISO

Usage

PrimitiveComponents.Mathematical.Acos()

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

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

Source

"""
    Acos

A component that computes the inverse cosine (arccos) of the input signal.

# Description
The Acos block computes the inverse cosine of input `u` using the built-in `acos()` function.
The output `y` is defined as: y = acos(u).
Note: The input `u` must be in the range [-1, 1].

# Variables
- `u(t)`: Input signal (must be in range [-1, 1])
- `y(t)`: Output signal (arccosine of u, in radians)

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

A component that computes the inverse cosine (arccos) of the input signal.

# Description
The Acos block computes the inverse cosine of input `u` using the built-in `acos()` function.
The output `y` is defined as: y = acos(u).
Note: The input `u` must be in the range [-1, 1].

# Variables
- `u(t)`: Input signal (must be in range [-1, 1])
- `y(t)`: Output signal (arccosine of u, in radians)

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


Test Cases

No test cases defined.

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