Description
# CE/CS 1337 – PROJECT – Wario World Economics
**Problem:** As usual, Wario is concerned about nothing other than acquiring more money. In order to maximize profits, Wario needs to use calculus to create derivatives for analysis. Unfortunately, Wario never took calculus; there wasn’t much need of it in the Mushroom Kingdom. So, Wario is calling on you to help him by creating a program to create derivatives.
**Pseudocode:** Your pseudocode should describe the following items
– Main.cpp
– Detail the step-by-step logic of the mainfunction
– List other functions you plan tocreate
– Determine the parameters
– Determine the return type
– Detail the step-by-step logic that the function will perform
– You do not need to write any pseudocode for any of the class functions
# Details
– This project must use two classes – created in review homework #7
– Linked Listclass
– Nodeclass
– **Linked Listclass**
– Variables
– Head – node pointer
– Functions
– Default constructor
– Overloaded Constructor
– Make copy of list passed in
– Destructor
– Delete thelist
– Accessors andmutators
– Overloaded operators – created in review homework #8
– Overloaded []
– Return the node at the givenindex
– Overloaded << operator
- Display the linkedlist
- Use [] notation to treat the linked list like an array
- See output format below
- Overloaded ++ operator
- Prefix notation only
- Add node to head of linkedlist
- Sort
- Sort the linked list in descending order by exponent
- Nodeclass
- Variables
- Outer coefficient
- Innercoefficient
- (optional) numerator and denominator variables if doing extra creditportion
- Exponent
- Trigidentifier
- Nodepointer
- Functions
- Defaultconstructor
- Overloadedconstructor
- Accessors andmutators
- Overloaded << operator – created in review homework #8
- Display a singlenode
- See output format below
- All nodes will be dynamicallycreated
- There should only be enough nodes to hold data for the current expression
- You will have to consider a way to reuse the linked list for the next expression
- All input will be read from afile
- Each term in the expression will be stored into a node and added into the linkedlist
- Each line in the file will be a mathematical function that can be derived
- The number of lines in the file is unknown
- Each calculated derivative will be written to afile
**User Interface:** There will be no user interface for this program
**Input:** All input will be read from a file named functions.txt. Each line in the file will be a mathematical function with the following parameters:
- Consist of polynomial terms - the highest degree will be10
- May also contain trigfunctions
- Exponents will be represented by the ^ character.
- Exponents may be positive ornegative
- Do not assume that the expression will be in order from highest to lowest exponent.
- All coefficients will beintegers.
- The absence of a coefficient should be interpreted as a coefficient of1
- Trigonometric functions may havecoefficients
- The variable will always be 'x'.
- There will be spaces around the operators between terms
- If a trig function is used, there will be a space between the trig function and the coefficient of x
- **ExampleInput:**
- 3x^2 + 2x + 1
- x^-2 + 3x + 4
- 4x – x^3
- 3sin x + cosx
- 1 – cos4x
- 3x^4 – 6x^2 + tan 10x
**Output:** All output will be written to a file.
- The file will be namedtxt.
- Each derivative will be written on a separate line.
- Use the ^ character to represent exponents.
- The terms of the derivative must be ordered from highest to lowest exponent
- Trig functions should be listed at the end in the order they were encountered in the original expression
- The format of the output for each term will be the same as the input format
- Do not use double operators
- Invalid format: 2x^2 +-3x
**EXTRA CREDIT:** Add to your program to derive functions with fractional coefficients (potential 25 extra points for this project)
- Fractional coefficients will be enclosed within parentheses (for both input andoutput)
- Each coefficient in the derivative should be simplified as much as possible
- Fractional coefficients with a denominator of 1 after derivation will be written as a whole number without parentheses
- **ExampleInput**
- x – (1/4)sin4x
- (3/5)x^5 – 2x^3 - 10cos10x
