Human-like mouse movements via Selenium

The Story:

One of the approaches to solve captchas, like Google ReCaptcha, is to try to imitate the human mouse actions: movements, hovering and clicks.

Some users reported that making mouse moves as B-spline curves worked for them.

The Question:

How to move the mouse to a particular element following the B-spline trajectory via Selenium?

---

Note that the regular browser.actions().mouseMove(elm).perform(); would "jump" to the element straight and far too quickly. My understanding is that it is a matter of slowing down the movement speed, "jumping" from point to point smoothly following the mathematical model for the B-spline trajectory.

^{We are using Protractor/JavaScript, but the question is really language-agnostic. Note that I'm not trying to solve the captcha, or contribute to the "captcha-solving making new evil bots violating terms of use here and there" space. I'm just curious and eager to obtain more skills in the test automation space.}

You can use scipy.interpolate to interpolate B-spline curves like you can see in this question.

Here I'll use one of the B-spline examples to get values to x and y:

import numpy as np
import scipy.interpolate as si

# Curve base:
points = [[0, 0], [0, 2], [2, 3], [4, 0], [6, 3], [8, 2], [8, 0]];
points = np.array(points)

x = points[:,0]
y = points[:,1]


t = range(len(points))
ipl_t = np.linspace(0.0, len(points) - 1, 100)

x_tup = si.splrep(t, x, k=3)
y_tup = si.splrep(t, y, k=3)

x_list = list(x_tup)
xl = x.tolist()
x_list[1] = xl + [0.0, 0.0, 0.0, 0.0]

y_list = list(y_tup)
yl = y.tolist()
y_list[1] = yl + [0.0, 0.0, 0.0, 0.0]

x_i = si.splev(ipl_t, x_list) # x interpolate values
y_i = si.splev(ipl_t, y_list) # y interpolate values

With values of x and y, you can move the mouse cursor with ActionChains:

from selenium import webdriver
from selenium.webdriver.common.action_chains import ActionChains

url = "https://codepen.io/falldowngoboone/pen/PwzPYv"
driver = webdriver.Chrome(executable_path="/home/selenium/chromedriver2.25")
driver.get(url)

action =  ActionChains(driver);

startElement = driver.find_element_by_id('drawer')

# First, go to your start point or Element:
action.move_to_element(startElement);
action.perform();

for mouse_x, mouse_y in zip(x_i, y_i):
    action.move_by_offset(mouse_x,mouse_y);
    action.perform();
    print(mouse_x, mouse_y)

If you were running this from desktop wand wanted to use an actual mouse movement, with AutoIt you can make mouse movements delayed.

@ODIUM @Guilherme , or anyone still looking for a fix. What ODIUM described in Guilherme's answer as a jump to the first curve position then back to the beginning, then second curve position and back to the beginning again is caused by a small bug in the provided code. It will be fixed by "resetting" the action chain after each perform, like this:

action =  ActionChains(driver);
startElement = driver.find_element_by_id('drawer')

# First, go to your start point or Element:
action.move_to_element(startElement);
action.perform();

for mouse_x, mouse_y in zip(x_i, y_i):
    # Here you should reset the ActionChain and the 'jump' wont happen:
    action =  ActionChains(driver)
    action.move_by_offset(mouse_x,mouse_y);
    action.perform();
    print(mouse_x, mouse_y)