SINE
Generate a waveform with a given shape (sine, sawtooth, etc). Inputs
------
default : OrderedPair|Vector
Input that defines the x-axis values of the function and output. Params: waveform : select The waveform type of the wave. amplitude : float The amplitude of the wave. frequency : float The wave frequency in radians/2pi. offset : float The y axis offset of the function. phase : float The x axis offset of the function. Returns: out : OrderedPair x: the input v or x values
y: the resulting sine function
Python Code
import numpy as np
from flojoy import flojoy, OrderedPair, Vector
from scipy import signal
from typing import Literal
@flojoy
def SINE(
default: OrderedPair | Vector,
amplitude: float = 1,
frequency: float = 1,
offset: float = 0,
phase: float = 0,
waveform: Literal["sine", "square", "triangle", "sawtooth"] = "sine",
) -> OrderedPair:
"""Generate a waveform with a given shape (sine, sawtooth, etc).
Inputs
------
default : OrderedPair|Vector
Input that defines the x-axis values of the function and output.
Parameters
----------
waveform : select
The waveform type of the wave.
amplitude : float
The amplitude of the wave.
frequency : float
The wave frequency in radians/2pi.
offset : float
The y axis offset of the function.
phase : float
The x axis offset of the function.
Returns
-------
OrderedPair
x: the input v or x values
y: the resulting sine function
"""
A = amplitude
F = frequency
Y0 = offset
match default:
case OrderedPair():
x = default.y
case _:
x = default.v
if waveform == "sine":
y = Y0 + A * np.sin(2 * np.pi * F * x + phase)
elif waveform == "square":
y = Y0 + A * signal.square(2 * np.pi * F * x / 10 + phase)
elif waveform == "triangle":
y = Y0 + A * signal.sawtooth(2 * np.pi * F * x / 10 + phase, 0.5)
elif waveform == "sawtooth":
y = Y0 + A * signal.sawtooth(2 * np.pi * F / 10 * x + phase)
return OrderedPair(x=x, y=y)
Example
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In this example, the LINSPACE and SINE nodes generate a sine function which is visualized with the SCATTER node.