plot_gamma.py

import math
grid_size = 20

#oldMin, newMin, oldMax, newMax
def lerp(x0, y0, x1, y1, x):
    return y0+(y1-y0)*(x-x0)/(x1-x0)

# t: current time, b: begInnIng value, c: change In value, d: duration
def easeInOutCubic(t, b, c, d):
    t /= d/2
    if t < 1:
        return c/2*t*t*t + b
    t -= 2
    return c/2*(t*t*t + 2) + b

#val = [math.pow((x/(grid_size-1.0)), 2.2) for x in range(grid_size)]
#val = [lerp(0,0,1,1,(x/(grid_size-1.0))) for x in range(grid_size)]
#val = [easeInOutCubic( (x/(grid_size-1.0)), 1,1,1) for x in range(grid_size)]

val = []
for time in range(grid_size):

    t = float(time)/(grid_size-1)
    b = 0.0
    c = t
    #print(t, c)
    d = 1.0

    val.append(easeInOutCubic(t, b, c, d))

#print(val)
#val.reverse()
#print(val)
index_list = [int(round(x*(grid_size-1))) for x in val]

for u in range(grid_size):
    s = ''
    for v in range(grid_size):
        s += '.' if v == index_list[u] else '  '
    print(s)