Mathematical.Exp

Exp

A component that computes the natural exponential of the input signal.

Description

The Exp block computes the natural exponential of input u using the built-in exp() function. It applies the exponential function (base e ≈ 2.71828) to the input: y = exp(u).

Variables

• u(t): Input signal
• y(t): Output signal (exponential of u)

Examples

• u = 0 → y = 1.0 (exp(0) = 1)
• u = 1 → y ≈ 2.718 (exp(1))
• u = -1 → y ≈ 0.368 (exp(-1))

This component extends from BlockComponents.SISO

Usage

PrimitiveComponents.Mathematical.Exp()

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

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

Source

"""
    Exp

A component that computes the natural exponential of the input signal.

# Description
The Exp block computes the natural exponential of input `u` using the built-in `exp()` function.
It applies the exponential function (base e ≈ 2.71828) to the input: y = exp(u).

# Variables
- `u(t)`: Input signal
- `y(t)`: Output signal (exponential of u)

# Examples
- u = 0    → y = 1.0     (exp(0) = 1)
- u = 1    → y ≈ 2.718   (exp(1))
- u = -1   → y ≈ 0.368   (exp(-1))
"""
component Exp
  extends BlockComponents.SISO
relations
  y = exp(u)
metadata {
  "Dyad": {
    "experiments": {},
    "tests": {},
    "labels": [
      {
        "label": "$(instance)",
        "x": 500,
        "y": 1100,
        "rot": 0,
        "layer": "icon",
        "attrs": {}
      }
    ],
    "icons": {"default": "dyad://PrimitiveComponents/Exp.svg"},
    "path": {},
    "doc": {"behavior": true}
  }
}
end

"""
    Exp

A component that computes the natural exponential of the input signal.

# Description
The Exp block computes the natural exponential of input `u` using the built-in `exp()` function.
It applies the exponential function (base e ≈ 2.71828) to the input: y = exp(u).

# Variables
- `u(t)`: Input signal
- `y(t)`: Output signal (exponential of u)

# Examples
- u = 0    → y = 1.0     (exp(0) = 1)
- u = 1    → y ≈ 2.718   (exp(1))
- u = -1   → y ≈ 0.368   (exp(-1))
"""
component Exp
  "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 = exp(u)
metadata {
  "Dyad": {
    "labels": [
      {
        "label": "$(instance)",
        "x": 500,
        "y": 1100,
        "rot": 0,
        "layer": "icon",
        "attrs": {}
      }
    ],
    "experiments": {},
    "tests": {},
    "icons": {"default": "dyad://PrimitiveComponents/Exp.svg"},
    "path": {},
    "doc": {"behavior": true}
  }
}
end

Test Cases

No test cases defined.

Related

• Examples
• Experiments
• Analyses