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rewards-farmer/src/mouse_trajectory.py
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import time
from selenium.webdriver.common.actions.action_builder import ActionBuilder
from selenium.webdriver.common.action_chains import ActionChains
from selenium.webdriver.remote.webelement import WebElement
from selenium.common.exceptions import JavascriptException
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from selenium import webdriver
from functools import partial
import math
import random
import numpy as np
from typing import Callable
Point = tuple[int, int]
DEFAULT_INTERMEDIATE_RADIUS_INTERVAL = (20, 40)
DEFAULT_DEVIATION_INTERVAL = (1, 5)
DEFAULT_DISTORTION_ZONE_TIME_LENGTH = 0.05
DEFAULT_DISTORTION_FREQUENCY = 0.15
def cubic_bezier_single_coordinate(p0: int, p1: int, p2: int, p3: int, t: float):
first_coeff = (1-t)**3
second_coeff = 3*t*(1-t)**2
third_coeff = 3*(1-t)*(t**2)
fourth_coeff = t**3
return (
first_coeff*p0 +
second_coeff*p1 +
third_coeff*p2 +
fourth_coeff*p3
)
def cubic_bezier(p0: Point, p1: Point, p2: Point, p3: Point, t: float) -> Point:
return (
(cubic_bezier_single_coordinate(p0[0], p1[0], p2[0], p3[0], t)),
(cubic_bezier_single_coordinate(p0[1], p1[1], p2[1], p3[1], t))
)
def random_anysign(a: int, b: int) -> int:
result = random.randint(a, b)
if random.randint(0, 1):
return -result
return result
def get_bezier_path(start: Point, end: Point, intermediate_radius_interval: tuple[int, int]=DEFAULT_INTERMEDIATE_RADIUS_INTERVAL) -> Callable[[float], Point]:
p0, p3 = start, end
p1 = (
p0[0]+random_anysign(intermediate_radius_interval[0], intermediate_radius_interval[1]),
p0[1]+random_anysign(intermediate_radius_interval[0], intermediate_radius_interval[1])
)
p2 = (
p3[0]+random_anysign(intermediate_radius_interval[0], intermediate_radius_interval[1]),
p3[1]+random_anysign(intermediate_radius_interval[0], intermediate_radius_interval[1])
)
return partial(cubic_bezier, p0, p1, p2, p3)
def get_distorted_bezier_path(
start: Point,
end: Point,
intermediate_radius_interval: tuple[int, int]=DEFAULT_INTERMEDIATE_RADIUS_INTERVAL,
distortion_zone_time_length: float=DEFAULT_DISTORTION_ZONE_TIME_LENGTH,
distortion_frequency: float=DEFAULT_DISTORTION_FREQUENCY,
deviation_interval: tuple[int, int]=DEFAULT_DEVIATION_INTERVAL
) -> Callable[[float], Point]:
distortion_zones: list[tuple[float, float]] = [
(i*distortion_zone_time_length, (i+1)*distortion_zone_time_length)
for i in range(int(1/distortion_zone_time_length))
if random.uniform(0, 1) < distortion_frequency
]
distortion_offsets: list[Point] = [
(
random_anysign(deviation_interval[0], deviation_interval[1]),
random_anysign(deviation_interval[0], deviation_interval[1])
)
for _ in range(len(distortion_zones))
]
def get_distorted_point(
true_point: Point,
distortion_offset: Point,
distortion_zone: tuple[float, float],
t: float
) -> Point:
distortion_zone_length = distortion_zone[1]-distortion_zone[0]
distortion_zone_progress = (t-distortion_zone[0])/distortion_zone_length
if distortion_zone_progress < 0.5: # move from true to distorted point
return (
true_point[0]+distortion_offset[0]*distortion_zone_progress*2,
true_point[1]+distortion_offset[1]*distortion_zone_progress*2
)
else: # move from distorted to true point
return (
true_point[0]+distortion_offset[0]*(1-(distortion_zone_progress-0.5)*2),
true_point[1]+distortion_offset[1]*(1-(distortion_zone_progress-0.5)*2)
)
bezier_path = get_bezier_path(start, end, intermediate_radius_interval)
def distored_path_function(t: float):
true_point = bezier_path(t)
for i, distortion_zone in enumerate(distortion_zones):
if distortion_zone[0] <= t <= distortion_zone[1]:
return get_distorted_point(
true_point,
distortion_offsets[i],
distortion_zone,
t
)
# we are not in a distortion zone, return the true point
return true_point
return distored_path_function
def logistic_sigmoid(x: float) -> float:
return 2/(1+np.exp(-x)) - 1
def get_path_with_transformed_velo(
start: Point,
end: Point,
intermediate_radius_interval: tuple[int, int]=DEFAULT_INTERMEDIATE_RADIUS_INTERVAL,
distortion_zone_time_length: float=DEFAULT_DISTORTION_ZONE_TIME_LENGTH,
distortion_frequency: float=DEFAULT_DISTORTION_FREQUENCY,
deviation_interval: tuple[int, int]=DEFAULT_DEVIATION_INTERVAL
) -> Callable[[float], Point]:
bezier_path = get_distorted_bezier_path(
start,
end,
intermediate_radius_interval,
distortion_zone_time_length,
distortion_frequency,
deviation_interval
)
return lambda t: bezier_path(logistic_sigmoid(t))
FITTS_LAW_A = 0.5500
FITTS_LAW_B = 0.1276
def get_final_path_from_real_time(
movement_time: float,
start: Point,
end: Point,
intermediate_radius_interval: tuple[int, int]=DEFAULT_INTERMEDIATE_RADIUS_INTERVAL,
distortion_zone_time_length: float=DEFAULT_DISTORTION_ZONE_TIME_LENGTH,
distortion_frequency: float=DEFAULT_DISTORTION_FREQUENCY,
deviation_interval: tuple[int, int]=DEFAULT_DEVIATION_INTERVAL
) -> Callable[[float], Point]:
path = get_path_with_transformed_velo(
start,
end,
intermediate_radius_interval,
distortion_zone_time_length,
distortion_frequency,
deviation_interval
)
def final_path_function(t: float) -> Point:
if t < 0:
return start
elif t > movement_time:
return end
normalized_t = (t / movement_time)*4.5
return path(normalized_t)
return final_path_function
def get_movement_time_from_fitts_law(distance: float, target_width: float) -> float:
index_of_difficulty = math.log2((2.0 * distance) / target_width)
movement_time = FITTS_LAW_A + FITTS_LAW_B * index_of_difficulty
return movement_time
def get_final_path_with_fitts_law(
target_width: float,
start: Point,
end: Point,
intermediate_radius_interval: tuple[int, int]=DEFAULT_INTERMEDIATE_RADIUS_INTERVAL,
distortion_zone_time_length: float=DEFAULT_DISTORTION_ZONE_TIME_LENGTH,
distortion_frequency: float=DEFAULT_DISTORTION_FREQUENCY,
deviation_interval: tuple[int, int]=DEFAULT_DEVIATION_INTERVAL
) -> Callable[[float], Point]:
distance = math.dist(start, end)
movement_time = get_movement_time_from_fitts_law(distance, target_width)
return get_final_path_from_real_time(
movement_time,
start,
end,
intermediate_radius_interval,
distortion_zone_time_length,
distortion_frequency,
deviation_interval
)
def choose_target_in_element(x: int, y: int, height: int, width: int) -> Point:
# choose a random point near the center of the element
left_bound_x = x + width * 0.25
right_bound_x = x + width * 0.75
top_bound_y = y + height * 0.25
bottom_bound_y = y + height * 0.75
return (
random.randint(int(left_bound_x), int(right_bound_x)),
random.randint(int(top_bound_y), int(bottom_bound_y))
)
class MouseUtils:
def __init__(self, driver: webdriver.Edge):
self.driver = driver
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self.fallback_init_pos = (0, 0) # default fallback position if mouse position is not initialized
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self.reinitialize()
def reinitialize(self):
self.init_driver_with_mouse_tracking()
self.init_driver_with_cursor_visualization()
def init_driver_with_mouse_tracking(self):
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initial_pos = self.fallback_init_pos
js_tracker = f"""
window.cursorX = {int(initial_pos[0])};
window.cursorY = {int(initial_pos[1])};
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document.addEventListener('mousemove', function(event) {{
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console.log('Mouse moved to: ' + event.clientX + ', ' + event.clientY);
window.cursorX = event.clientX;
window.cursorY = event.clientY;
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}});
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"""
self.driver.execute_script(js_tracker)
def init_driver_with_cursor_visualization(self):
cursor_script = """
var visualCursor = document.createElement('div');
visualCursor.id = 'selenium-visual-cursor';
visualCursor.style.position = 'fixed';
visualCursor.style.zIndex = '99999';
visualCursor.style.width = '15px';
visualCursor.style.height = '15px';
visualCursor.style.background = 'red';
visualCursor.style.borderRadius = '50%';
visualCursor.style.border = '2px solid white';
visualCursor.style.pointerEvents = 'none'; // Prevents blocking element clicks
visualCursor.style.top = '0px';
visualCursor.style.left = '0px';
visualCursor.style.transition = 'all 0.3s ease;'; // Optional: adds smooth sliding visual
document.body.appendChild(visualCursor);
window.moveVisualCursor = function(x, y) {
var cursor = document.getElementById('selenium-visual-cursor');
cursor.style.left = x + 'px';
cursor.style.top = y + 'px';
};
"""
self.driver.execute_script(cursor_script)
def get_current_mouse_position(self) -> Point:
pos: dict[str, int] = self.driver.execute_script("return { x: window.cursorX, y: window.cursorY };")
x, y = pos['x'], pos['y']
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if (x, y) == (None, None):
self.reinitialize()
return self.get_current_mouse_position()
self.fallback_init_pos = (x, y)
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return (x, y)
def move_mouse(self, move_time: float, path_function: Callable[[float], Point], visualize: bool=True):
start_time = time.monotonic()
end_time = start_time + move_time
# The distorted bezier path can overshoot the window edge, which the
# driver rejects, so keep every sampled point inside the viewport.
viewport = self.driver.execute_script(
"return [window.innerWidth, window.innerHeight];"
)
max_x, max_y = int(viewport[0]) - 2, int(viewport[1]) - 2
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while (current_time := time.monotonic()) < end_time:
t = current_time - start_time
point = path_function(t)
point = (
min(max(0, point[0]), max_x),
min(max(0, point[1]), max_y)
)
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actions = ActionBuilder(self.driver, duration=0)
actions.pointer_action.move_to_location(point[0], point[1])
actions.perform()
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self.fallback_init_pos = point
if visualize:
try: self.driver.execute_script(f"window.moveVisualCursor({point[0]}, {point[1]});")
except JavascriptException: # some uninitialization has happened, reinitialize the cursor visualization
self.reinitialize()
self.driver.execute_script(f"window.moveVisualCursor({point[0]}, {point[1]});")
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def wheel_scroll_element_into_view(self, element: WebElement, max_wheel_events: int = 60):
"""Scroll the element into the viewport with simulated wheel input.
Wheel steps of varying size with short pauses, the way a person scrolls,
instead of a fixed-size burst. The loop is bounded on purpose: an element
that never fits the viewport completely, for example one taller than the
window, must not hang the run forever. When the budget runs out the
caller proceeds with the element as visible as it got.
"""
for _ in range(max_wheel_events):
top, bottom, height = self.driver.execute_script(
"var r = arguments[0].getBoundingClientRect();"
"return [r.top, r.bottom, window.innerHeight];",
element
)
if top >= 0 and bottom <= height:
break
# Aim the element at the middle of the viewport, one notch at a time.
distance = (top + bottom) / 2 - height / 2
step = max(-320, min(320, distance))
step = int(step * random.uniform(0.6, 1.0))
if abs(step) < 40:
step = 40 if distance > 0 else -40
ActionChains(self.driver).scroll_by_amount(0, step).perform()
time.sleep(random.uniform(0.04, 0.12))
def wheel_scroll_to_top(self, max_wheel_events: int = 80):
"""Scroll back to the top of the page with simulated wheel input.
Reads the actual scroll position instead of unwinding a counted number
of steps, because the page height can change while cards update and a
symmetric unwind then lands in the wrong place.
"""
for _ in range(max_wheel_events):
offset = self.driver.execute_script("return window.scrollY || window.pageYOffset;")
if offset <= 0:
break
step = min(340, int(offset))
step = max(60, int(step * random.uniform(0.6, 1.0)))
ActionChains(self.driver).scroll_by_amount(0, -step).perform()
time.sleep(random.uniform(0.04, 0.12))
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def move_to_element(self, element: WebElement, visualize: bool=True):
# The pointer is moved to viewport coordinates, so an element below the
# fold yields a target outside the window and the driver rejects the move
# with MoveTargetOutOfBoundsException. Bring it into view first, but only
# when it actually is out of view: unconditionally re-centering visible
# elements is what caused the page to jump between tasks. When scrolling
# is needed it is smooth, and since smooth scrolling is asynchronous, the
# rect is polled until it stops moving before the path is computed.
fully_in_view = self.driver.execute_script("""
var r = arguments[0].getBoundingClientRect();
return (
r.top >= 0 && r.left >= 0 &&
r.bottom <= (window.innerHeight || document.documentElement.clientHeight) &&
r.right <= (window.innerWidth || document.documentElement.clientWidth)
);
""", element)
if not fully_in_view:
self.driver.execute_script(
"arguments[0].scrollIntoView({block: 'center', inline: 'center', behavior: 'smooth'});",
element
)
last_rect = None
for _ in range(20):
time.sleep(0.15)
rect = self.driver.execute_script(
"var r = arguments[0].getBoundingClientRect();"
"return [Math.round(r.top), Math.round(r.left)];",
element
)
if rect == last_rect:
break
last_rect = rect
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current_mouse_position = self.get_current_mouse_position()
rect = self.driver.execute_script("""
var rect = arguments[0].getBoundingClientRect();
return {x: rect.left, y: rect.top, width: rect.width, height: rect.height};
""", element)
target_position = choose_target_in_element(
rect['x'],
rect['y'],
rect['height'],
rect['width']
)
move_time = get_movement_time_from_fitts_law(
math.dist(current_mouse_position, target_position),
(rect['width'] + rect['height']) / 2
)
path_fn = get_final_path_from_real_time(
movement_time=move_time,
start=current_mouse_position,
end=target_position
)
self.move_mouse(move_time, path_fn, visualize)
def human_like_click(self, time_interval: tuple[int, int]=(200, 300)):
ActionChains(self.driver, duration=random.randint(time_interval[0], time_interval[1])).click().perform()