import numpy as np
import holoviews as hv
hv.extension('bokeh')

frequencies = [0.5, 0.75, 1.0, 1.25]

def sine_curve(phase, freq):
    xvals = [0.1* i for i in range(100)]
    return hv.Curve((xvals, [np.sin(phase+freq*x) for x in xvals]))

curve_dict = {f:sine_curve(0,f) for f in frequencies}

hmap = hv.HoloMap(curve_dict, kdims='frequency')
hmap

phases      = [0, np.pi/2, np.pi, 3*np.pi/2]
curve_dict_2D = {(p,f):sine_curve(p,f) for p in phases for f in frequencies}
hmap = hv.HoloMap(curve_dict_2D, kdims=['phase', 'frequency'])
hmap

hmap = hv.HoloMap(kdims=['phase', 'frequency'])
for (phase, freq) in [(0,0.5), (0.5,0.5), (0.5,1), (0,1)]:
    hmap[(phase, freq)] = sine_curve(phase,freq)

(0, 0.5) in hmap

hmap.get((0,0.5))

hmap[0,1] + hmap[0,:]

hmap.data