$23\mathrm{.}3$ Project $3$: Car movement

Requirements Summary

Create a C$++$ program that will simulate the behavior of a car, based on input files that describe its behavior. The input file includes a set of commands to make it move. The output of the program should be a time$-$series that describes the position and orientation of the vehicle, and records the command given at each time as well..

Data description and motivation

The data in the input file contains an array of input values that describe the input velocity $($v$)$ and steering angle rate of change $($deltaDot$)$ for the car.

The goal of the project is to simulate a car$-$like robot's motion. A simple algorithm is applied to simulate the state evolution of the vehicle, based on kinematic motion.

Classes

Your project must use at least the below classes, for which required features are included in their template definitions.

MathVector

Input $($note: inherits from MathVector$)$

State: $($note: inherits from MathVector$)$

The following details are valid for your implementations:

You are free to provide inline implementations if you choose

You are free to add more features and functions to prototyped classes

You are free to edit header files to include other headers commonly available for C$++($or to change the way in which your headers are included$)$

You are free to define other classes; if you do$,$ define them in the Project$3$ header file, and ensure their implementations are in the Project$3$ cpp file.

Note: Your code MUST use the given Input and State classes, otherwise $10$ points will be deducted from your score.

Additional descriptions for the required classes are below:

MathVector

This class should abstract a one dimensional math vector of double values, with the number of elements of the vector set on construction. It should provide a constructor that permits creating the vector with specified number of elements