Our classes represents Monoms and Polynoms as defined in Wikipedia.
Monom is an expression of the form ax^b (axb) or ax^b (axb) when a is a real number and b is a non-negative integer.
Polynom is a mathematical expression of one or more Monoms summed up together.
Our program ignores spaces, for example “3* x^2 “=”3*x^2”.
In our program, we have many methods which can be applied on Monoms and Polynoms.
Every Monom object has a coefficient field represents a, and a power field represents b.
• derivative
• add
• multiply
• toString - prints the Monom's logical value
• f(x) - returns the Monom's value within the given x
• isZero - checks whether the Monom's value is 0
• a constructor that builds a new Monom according to a string
Polynom class implements the Polynom_able class.
Every Polynom object has one field of arraylist type represent the list of Monoms the Polynom has. The list is sorted by power values up to down. In case of tow Monoms with the same power value they combined to one Monom.
• add- Polynom to a Polynom and Monom to a Polynom
• subtract
• multiply- by a Monom or a Polynom
• f(x) - returns the Polynom's value within the given x
• equals
• copy constructor
• derivative
• isZero - checks whether the Polynom's value is 0
• area – returns the area value between the Polynom graph and the x axis (only the areas which are above the X axis)
• root – returns the Polynom root between tow given Xs values.
• toString - prints the Polynom's logical value sorted by power values
• a constructor that builds a new Polynom according to a string
Our class represents an object called complex function which defined as follows:
• Left field- type function which means it could be a Polynom, a Monom or a complex function as well.
• Right field- type function which means it could be a Polynom, a Monom or a complex function as well.
• Op- type operation -Enum that could be one of the following only-
*Plus- addition
*Times- multiplication
*Divid- division
*Max- gets the maximum between left value and right value.
*Min - gets the minimum between left value and right value.
*Comp- Function composition
*None- gets the left side value only
*Error- technically is a valid operation but cannot but be applied on a complex function -throws exception.
a complex function for example looks like:
cf is a complex function object, f is a function, x is a double, s is a String and obj is an object in this example
• cf.f(x)- returns the complex function's value within the given x according to the operations as defined.
• cf.mul/comp/div/etc.(f)- builds a new complex function which it's left side is cf’s old pointer, it's right side is f copy and it's operation is the operation specified. cf now points this new Complex function.
• cf.toString – returns a string represents the complex function structure.
• cf.initFromString(s)-returns a pointer to the function the string represents (could be a complex function or a Polynom (every Monom is a Polynom)), cf is not affected by this action.
• cf. equals (obj)- in case obj is a function, cf is logically compered to obj (suppose to return true if equal for every value in the X axis, false otherwise) this method is very tricky since we cannot check every value in the scale. in our program we decided to check 1000 random values in addition to the range (-2,2). our method allows 2 unequal values in order to cover cases of holes in one function which is being compared to an equal but continues function. This compare can of course fail since we don't check every value. Statistically it has high odds to succeed but not 100% of the time.
Function GUI is an object that has one field which is an array list of functions.
Function GUI implements functions class which extends collection. We chose to use java’s array list.
• InitFromFile- gets a file path and adds all the functions written in the file to the array list.
• saveToFile- gets a name for the file we want to create and prints to the file all of the functions in our list.
• paint (Auxiliary method) - this method gets a function and draws it to a GUI window according the parameters the method got.
• drawFunctions- there are two drawFunctions methods that have the same goal, which is to draw each function in the collection. Each method has a different way to get the parameters for the GUI window such as height, width, rx (X axis range) ,ry (Y axis range) and resolution. The first gets real parameters and draws accordingly. And the second gets the parameters from a json file calles "GUI_params.json".