Pyautogui: Mouse Movement with bezier curve

Question

I'm trying to move the mouse in a bezier curve motion in Pyautogui to simulate more of a human movement as seen here:

There is some tweening / easing functions within pyautogui but none of which represent a bezier curve type movement. I created a small script to calculate the random places it will hit before ultimately hitting its destination.

Default "Robot" linear path:

Unfortunately, which each destination the mouse temporarily stops.

import pyautogui
import time
import random
print "Randomized Mouse Started."
destx = 444;
desty = 631;
x, y = pyautogui.position() # Current Position
moves = random.randint(2,4)
pixelsx = destx-x
pixelsy = desty-y
if moves >= 4:
        moves = random.randint(2,4)
avgpixelsx = pixelsx/moves
avgpixelsy = pixelsy/moves
print "Pixels to be moved X: ", pixelsx," Y: ",pixelsy, "Number of mouse movements: ", moves, "Avg Move X: ", avgpixelsx, " Y: ", avgpixelsy

while moves > 0:
        offsetx = (avgpixelsx+random.randint(-8, random.randint(5,10)));
        offsety = (avgpixelsy+random.randint(-8, random.randint(5,10)));
        print x + offsetx, y + offsety, moves
        pyautogui.moveTo(x + offsetx, y + offsety, duration=0.2)
        moves = moves-1
        avgpixelsx = pixelsx / moves
        avgpixelsy = pixelsy / moves

Info:

• Windows 10
• Python 2.7
• Willing to use other libraries, Python version if necessary

I've seen this post: python random mouse movements

but can't figure out how to define a "start and stop" position. The answer is pretty close to what I'm looking for.

Any ideas on how to accomplish this?

Answer 1

Using scipy, numpy and anything that can simply move mouse cursor:

import pyautogui
import random
import numpy as np
import time
from scipy import interpolate
import math

def point_dist(x1,y1,x2,y2):
    return math.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2)

cp = random.randint(3, 5)  # Number of control points. Must be at least 2.
x1, y1 = pyautogui.position()  # Starting position

# Distribute control points between start and destination evenly.
x = np.linspace(x1, x2, num=cp, dtype='int')
y = np.linspace(y1, y2, num=cp, dtype='int')

# Randomise inner points a bit (+-RND at most).
RND = 10
xr = [random.randint(-RND, RND) for k in range(cp)]
yr = [random.randint(-RND, RND) for k in range(cp)]
xr[0] = yr[0] = xr[-1] = yr[-1] = 0
x += xr
y += yr

# Approximate using Bezier spline.
degree = 3 if cp > 3 else cp - 1  # Degree of b-spline. 3 is recommended.
                                  # Must be less than number of control points.
tck, u = interpolate.splprep([x, y], k=degree)
# Move upto a certain number of points
u = np.linspace(0, 1, num=2+int(point_dist(x1,y1,x2,y2)/50.0))
points = interpolate.splev(u, tck)

# Move mouse.
duration = 0.1
timeout = duration / len(points[0])
point_list=zip(*(i.astype(int) for i in points))
for point in point_list:
    pyautogui.moveTo(*point)
    time.sleep(timeout)

And you can remove any built-in delay in pyautogui by setting:

# Any duration less than this is rounded to 0.0 to instantly move the mouse.
pyautogui.MINIMUM_DURATION = 0  # Default: 0.1
# Minimal number of seconds to sleep between mouse moves.
pyautogui.MINIMUM_SLEEP = 0  # Default: 0.05
# The number of seconds to pause after EVERY public function call.
pyautogui.PAUSE = 0  # Default: 0.1

P.S.: Example above doesn't require any of those settings as it doesnt use public moveTo method.