Homework: C++ Vector Implementation

Assignment Goal

This assignments provides practice with basic C++ functionality, including class defintions, heap memory usage, and namespaces.

Set-Up

Before you get started, ensure that your set-up is up-to-date and appropriate.

1. You should do this assignment using cancun, including g++
2. Ensure that your repository is up-to-date and committed. (You can use git status to determine if there are outstanding changes, and git add and git commit if you are unsure.)
3. Use git pull upstream main to pull the newest commit from the upstream repository. This will give you access to the hw8 folder containing the materials for this assignment. (upstream specifies that you want to pull from the upstream repository, and main specifies the branch. You may see a text editor open to allow you to edit the merge message. This will likely be Vim, so you can edit it and then save, or just accept the current text and exit using :q!.)

You will do this assignment in your new hw8 folder. You should get into the habit of committing and pushing code frequently.

Your Task

You will create a C++ class Vector that implements 3-D vectors. This class will be defined in the file Vector.cc. You should not modify any of the starter files provided for this assignment.

In file Vector.cc implement the Vector class with the following properties:

• The representation of a Vector should be an array containing three floats giving the magnitudes in the x, y, and z directions. The array should be dynamically allocated on the heap when a Vector is created and deleted when the Vector no longer exists.
• There should be a default (0-argument) constructor that initializes a Vector to (0,0,0), a constructor with 3 floats as parameters giving initial values for the x, y, and z magnitudes, and a copy constructor.
• There should be a destructor that does whatever work is needed when a Vector object is deleted. If no work is needed, the body of the destructor can be empty.
• The class should define assignment for vectors (u=v).
• Operator * should compute the inner product (dot product) of two Vectors. If v1=(a,b,c) and v2=(d,e,f), then v1*v2 should return the scalar value a*d+b*e+c*f.
• Operator * should be overloaded so that if v is the Vector (a,b,c) and k is a double, then v*k and k*v should return a new Vector containing the components of v multiplied by k (i.e., (a*k,b*k,c*k)).
• The class should define stream output so that s<<v will write Vector v to stream s as (a,b,c), i.e., a left parentheses followed by the x, y, and z components of v separated by commas, and a right parentheses. There should be no added spaces in the output. Thereis no std::endl at the end.
• The Vector class and associated functions should be placed in a namespace vector374.

Note: Pay attention to the data types of the specified functions. This code makes use of references, and also sometimes requires returning a Vector (not a pointer to a Vector). You should take care to create your Vectors and return them appropriately.

Code Quality

You should ensure that your code follows typical guidelines regarding variable naming. You may include comments as necessary for any tricky parts of your code. You will also want to use cpplint.py to check that your code complies with the style guidelines before submitting.

Turning In

You will submit this homework to the Gradescope HW8: C++ Vector Implementation, via Gitlab. You should commit your work to your repository, including your Vector.cc file. These files will be located in the hw8 folder at the top level of your repository.

Once you locate the Gitlab assignment you will tap the "GitLab" button on the bottom:

Once you submit your code the autograder may take some time to run. You may resubmit for a higher grade, but your should always do as much testing as possible on your own platform before resubmitting.