Problem Description A two-dimensional random walk simulates the behavior of a particle moving in a grid of points. At each step, the random walker moves north, south, east, or west with an equal probability of 1/4, regardless of previous moves. Using the turtle module write a program that visualizes the steps of a random walker in a 400 x 400 square starting from the origin (i.e., position 0, 0). Use a step of size, n = 20 (i.e. 10 successive steps in one direction from the origin will get to a boundary). Your program shall define the following functions: • draw_bounds (size, center=(0,0)): This function shall draw a square with the given dimension (i.e. size parameter) around a given starting point (i.e. center parameter). NOTE: The turtle must return to the starting point/center position and its initial orientation after drawing the square • step(step_size=20): This function shall implement a single step in the random walk. The turtle moves by the given step_size in a randomly chosen direction i.e. North, South, East or West • walk (limits=(-200, 200)): This function shall iteratively invoke the previously defined step function to implement the random walk until the turtle reaches a boundary (i.e. defined by the given limits). Additionally, this function must return the number of steps taken. Apply the defined functions in your program to implement 1 trial of the random walk. Display the number of steps taken on the screen once the walk is complete.
Problem Description A two-dimensional random walk simulates the behavior of a particle moving in a grid of points. At each step, the random walker moves north, south, east, or west with an equal probability of 1/4, regardless of previous moves. Using the turtle module write a program that visualizes the steps of a random walker in a 400 x 400 square starting from the origin (i.e., position 0, 0). Use a step of size, n = 20 (i.e. 10 successive steps in one direction from the origin will get to a boundary). Your program shall define the following functions: • draw_bounds (size, center=(0,0)): This function shall draw a square with the given dimension (i.e. size parameter) around a given starting point (i.e. center parameter). NOTE: The turtle must return to the starting point/center position and its initial orientation after drawing the square • step(step_size=20): This function shall implement a single step in the random walk. The turtle moves by the given step_size in a randomly chosen direction i.e. North, South, East or West • walk (limits=(-200, 200)): This function shall iteratively invoke the previously defined step function to implement the random walk until the turtle reaches a boundary (i.e. defined by the given limits). Additionally, this function must return the number of steps taken. Apply the defined functions in your program to implement 1 trial of the random walk. Display the number of steps taken on the screen once the walk is complete.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
please write in python languag and by end include the output to make sure it works.
thanks
Template:
# imports
def draw_bounds(size, center=(0, 0)):
"""This function shall draw a square with the given dimension (i.e. size parameter)
around a given starting point (i.e. center parameter).
NOTE: The turtle must return to the starting point/center position
and its initial orientation after drawing the square"""
def step(step_size=20):
"""This function shall implement a single step in the random walk.
The turtle moves by the given step_size in a randomly chosen
direction i.e. North, South, East or West"""
def walk(limits=(-200, 200)):
"""This function shall iteratively invoke the step function to implement
the random walk until the turtle reaches a boundary (i.e. defined by the given limits).
Additionally, this function must return the number of steps taken."""
if __name__ == '__main__':
...
Transcribed Image Text:2-D Random Walk
Steps taken= 142,
T
0
X
Transcribed Image Text:Problem Description
A two-dimensional random walk simulates the behavior of a particle moving in a grid of points.
At each step, the random walker moves north, south, east, or west with an equal probability of
1/4, regardless of previous moves.
Using the turtle module write a program that visualizes the steps of a random walker in a
400 x 400 square starting from the origin (i.e., position 0, 0). Use a step of size, n = 20 (i.e. 10
successive steps in one direction from the origin will get to a boundary).
Your program shall define the following functions:
•
draw_bounds (size, center= (0,0)): This function shall draw a square with the
given dimension (i.e. size parameter) around a given starting point (i.e. center
parameter). NOTE: The turtle must return to the starting point/center position and its
initial orientation after drawing the square
step(step_size=20): This function shall implement a single step in the random walk.
The turtle moves by the given step_size in a randomly chosen direction i.e. North,
South, East or West
• walk (limits=(-200, 200)): This function shall iteratively invoke the previously
defined step function to implement the random walk until the turtle reaches a boundary
(i.e. defined by the given limits). Additionally, this function must return the number of
steps taken.
Apply the defined functions in your program to implement 1 trial of the random walk. Display
the number of steps taken on the screen once the walk is complete.
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