image.py

import numpy as np

from bokeh.layouts import column, row
from bokeh.models import ColumnDataSource, CustomJS, Slider
from bokeh.plotting import figure, show

x = np.linspace(0, 10, 500)
y = np.sin(x)

source = ColumnDataSource(data=dict(x=x, y=y))

plot = figure(y_range=(-10, 10), width=400, height=400)

plot.line('x', 'y', source=source, line_width=3, line_alpha=0.6)

amp = Slider(start=0.1, end=10, value=1, step=.1, title="Amplitude")
freq = Slider(start=0.1, end=10, value=1, step=.1, title="Frequency")
phase = Slider(start=-6.4, end=6.4, value=0, step=.1, title="Phase")
offset = Slider(start=-9, end=9, value=0, step=.1, title="Offset")

callback = CustomJS(args=dict(source=source, amp=amp, freq=freq, phase=phase, offset=offset),
                    code="""
    const A = amp.value
    const k = freq.value
    const phi = phase.value
    const B = offset.value

    const x = source.data.x
    const y = Array.from(x, (x) => B + A*Math.sin(k*x+phi))
    source.data = { x, y }
""")

amp.js_on_change('value', callback)
freq.js_on_change('value', callback)
phase.js_on_change('value', callback)
offset.js_on_change('value', callback)

show(row(plot, column(amp, freq, phase, offset)))