In 2 1 2 Out 1 Out 2 In _ 1 A "path" in 2D space can be defined as a list of 2D points, where each 2D point is expressed with its x-y coo 3 A 3 A 1926 ^ example of path with three points is given below. path_example = [(1, 1), (2, 3), (3, 8)] path_example [(1, 1), (2, 3), (3, 8)] [(1, 1), (2, 3), (3, 8)] Write a function, path_length(), which takes a "path" as input and calculates the total distance of the path the points map out, starting from the first point in the list to the second, the second to the third, and so on. The total distance is the sum of all of the distances of segments forming the path. The function path_length() should return this total distance. It is assumed that the list of points is already in the correct order. The function definition has been started for you below. Complete it with your answer • On successful implementation, execution of this cell will print success (5 points) ⠀

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
icon
Related questions
Question

I missing the idea of equstion, Can you help me to figure out?

### Understanding Paths in 2D Space

A "path" in 2D space can be defined as a list of 2D points, each expressed with x and y coordinates. An example of a path with three points is provided:

```python
path_example = [(1, 1), (2, 3), (3, 8)]
path_example
```

**Output:**

```
[(1, 1), (2, 3), (3, 8)]
```

### Task: Calculate Total Distance of a Path

Write a function, `path_length()`, that takes a "path" as input and calculates the total distance of the path. The calculation involves measuring the distance between consecutive points, from the first to the second, second to the third, and so on.

#### Details:

- The total distance is the sum of all distances between each pair of consecutive points.
- Assume points are listed in the correct order.

#### Function Template

The function definition is provided for completion:

```python
def path_length(path):
    total_distance = 0  # Variable to hold the sum of all distances
    # Complete it with your answer
    
    # On successful implementation, execution of this cell will print success (5 points)
```

Your goal is to complete the function and ensure that it calculates and returns the total distance of the path.
Transcribed Image Text:### Understanding Paths in 2D Space A "path" in 2D space can be defined as a list of 2D points, each expressed with x and y coordinates. An example of a path with three points is provided: ```python path_example = [(1, 1), (2, 3), (3, 8)] path_example ``` **Output:** ``` [(1, 1), (2, 3), (3, 8)] ``` ### Task: Calculate Total Distance of a Path Write a function, `path_length()`, that takes a "path" as input and calculates the total distance of the path. The calculation involves measuring the distance between consecutive points, from the first to the second, second to the third, and so on. #### Details: - The total distance is the sum of all distances between each pair of consecutive points. - Assume points are listed in the correct order. #### Function Template The function definition is provided for completion: ```python def path_length(path): total_distance = 0 # Variable to hold the sum of all distances # Complete it with your answer # On successful implementation, execution of this cell will print success (5 points) ``` Your goal is to complete the function and ensure that it calculates and returns the total distance of the path.
```python
def path_length(path):

    total_distance = 0  # Variable to hold the sum of all distances

    # Use a for loop to loop over all points
    # HINT: since the distance is computed between two points, there are only N-1 distances computed for N points
    for _ in range():
        '''
        print
        '''
    return total_distance

# Do not change code below - Just run this cell
try:
    if np.floor(path_length(path_example)) == 7:
        print('Success')
    else:
        print('Failure')
except:
    print('Incomplete implementation')
```

### Explanation

This code is a Python function designed to calculate the total distance of a given path. Below are the key components and steps involved in this implementation:

1. **Function Definition:**
   - The function `path_length` takes one argument, `path`.

2. **Variable Initialization:**
   - `total_distance` is initialized to 0. This variable will store the cumulative distance of the path.

3. **Loop Structure:**
   - A `for` loop is intended to iterate over the points in the `path`.
   - The comment hints that since the distance is computed between two points, there are `N-1` distances for `N` points.

4. **Incomplete Code:**
   - Inside the loop, there are placeholders for implementing the distance computation and printing statements.

5. **Return Statement:**
   - The function returns the `total_distance`.

6. **Try-Except Block:**
   - This code snippet outside the function attempts to check whether the path's total length, rounded down, equals 7.
   - It prints "Success" if the condition is met, "Failure" otherwise.
   - If there is an error due to incomplete implementation, it catches the exception and prints "Incomplete implementation".

### Notes
- The loop's range and logic for calculating distances are missing and need to be filled in for the function to work correctly.
- Ensure numpy (np) and `path_example` are defined elsewhere in your code for the try-except block to execute correctly.
Transcribed Image Text:```python def path_length(path): total_distance = 0 # Variable to hold the sum of all distances # Use a for loop to loop over all points # HINT: since the distance is computed between two points, there are only N-1 distances computed for N points for _ in range(): ''' print ''' return total_distance # Do not change code below - Just run this cell try: if np.floor(path_length(path_example)) == 7: print('Success') else: print('Failure') except: print('Incomplete implementation') ``` ### Explanation This code is a Python function designed to calculate the total distance of a given path. Below are the key components and steps involved in this implementation: 1. **Function Definition:** - The function `path_length` takes one argument, `path`. 2. **Variable Initialization:** - `total_distance` is initialized to 0. This variable will store the cumulative distance of the path. 3. **Loop Structure:** - A `for` loop is intended to iterate over the points in the `path`. - The comment hints that since the distance is computed between two points, there are `N-1` distances for `N` points. 4. **Incomplete Code:** - Inside the loop, there are placeholders for implementing the distance computation and printing statements. 5. **Return Statement:** - The function returns the `total_distance`. 6. **Try-Except Block:** - This code snippet outside the function attempts to check whether the path's total length, rounded down, equals 7. - It prints "Success" if the condition is met, "Failure" otherwise. - If there is an error due to incomplete implementation, it catches the exception and prints "Incomplete implementation". ### Notes - The loop's range and logic for calculating distances are missing and need to be filled in for the function to work correctly. - Ensure numpy (np) and `path_example` are defined elsewhere in your code for the try-except block to execute correctly.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Single source shortest path
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education