Mathematical.Floor

Floor

A component that outputs the floor value of the input signal.

Description

The Floor block computes the floor of input u using the built-in floor() function. The floor operation returns the greatest integer less than or equal to u. It effectively rounds the input down toward negative infinity.

Variables

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

Examples

• u = 3.7 → y = 3
• u = -2.3 → y = -3
• u = 0.0 → y = 0

This component extends from BlockComponents.SISO

Usage

PrimitiveComponents.Mathematical.Floor()

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

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

Source

"""
    Floor

A component that outputs the floor value of the input signal.

# Description
The Floor block computes the floor of input `u` using the built-in `floor()` function.
The floor operation returns the greatest integer less than or equal to `u`.
It effectively rounds the input down toward negative infinity.

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

# Examples
- u =  3.7  → y =  3
- u = -2.3  → y = -3
- u =  0.0  → y =  0
"""
component Floor
  extends BlockComponents.SISO
relations
  y = floor(u)
metadata {
  "Dyad": {
    "experiments": {},
    "tests": {},
    "labels": [
      {
        "label": "$(instance)",
        "x": 500,
        "y": 1100,
        "rot": 0,
        "layer": "icon",
        "attrs": {}
      }
    ],
    "icons": {"default": "dyad://PrimitiveComponents/Floor.svg"},
    "path": {},
    "doc": {"behavior": true}
  }
}
end

"""
    Floor

A component that outputs the floor value of the input signal.

# Description
The Floor block computes the floor of input `u` using the built-in `floor()` function.
The floor operation returns the greatest integer less than or equal to `u`.
It effectively rounds the input down toward negative infinity.

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

# Examples
- u =  3.7  → y =  3
- u = -2.3  → y = -3
- u =  0.0  → y =  0
"""
component Floor
  "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 = floor(u)
metadata {
  "Dyad": {
    "labels": [
      {
        "label": "$(instance)",
        "x": 500,
        "y": 1100,
        "rot": 0,
        "layer": "icon",
        "attrs": {}
      }
    ],
    "experiments": {},
    "tests": {},
    "icons": {"default": "dyad://PrimitiveComponents/Floor.svg"},
    "path": {},
    "doc": {"behavior": true}
  }
}
end

Test Cases

No test cases defined.

Related

• Examples
• Experiments
• Analyses