Description
Question: 1
1) Implementation of Quadratic Polynomial Class
Write a class Polynomial. This class has three private data members
• a: Int that holds the coefficient of X^2
• b: Int that holds the coefficient of X
• c: A double that holds the coefficient of X^0 (Constant term)
The class has the following member functions.
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Constructs a new Polynomial object to represent the |
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Polynomial
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quadratic Polynomial with all coefficients =0
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Constructs a new Polynomial object to represent the |
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Polynomial (a,b,c)
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quadratic Polynomial
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getters/setters
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Write getter/setters for all members e.g. a,b,c
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Polynomial(const & Copy)
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Copy Constructor
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operator =
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Overload = operator to assign values
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operator ==
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Overload == comparison operator
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Overload + operator which takes two Polynomial |
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Polynomial p3=p1+p2
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object as argument. It preforms the addition and returns the result. |
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Overload – operator which takes two Polynomial |
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Polynomial p3=p1-p2
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object as argument. It preforms the subtraction and returns the result. |
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Overload * operator which takes an int as |
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Polynomial p2= p1*d
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argument. It preforms the scaler multiplication and returns the result. |
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Returns a String representation of Quadratic |
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operator string()
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Polynomial. Example 4X^2 + 3X + 2
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operator<<
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Outputs the Polynomial (Nonmember Function)
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operator>>
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Input the Polynomial (Nonmember Function)
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2) More Polynomial Methods
Extend the Polynomial class to support the evaluation of quadratic polynomials as follows:
• Add a member function named evaluate that takes a single int argument representing the ‘x‘ value and returns the result (type double) of evaluating the polynomial at x.
• Add a void member function named roots that will take two reference arguments of type Complex (use your Complex class), then compute and provide both roots of a
quadratic polynomial object. Recall that the roots are given by the quadratic equation:
The expression under the radical is referred to as the discriminant. If the discriminant is negative, the roots must be expressed as imaginary values using Complex numbers as follows:
The roots method should first determine if the roots are real or imaginary based on the value of the discriminant. If the roots are real, return them as complex values with the imaginary component set to zero, if the roots are imaginary, return them in complex form using the absolute value of the discriminant.
Question: 2
Write a class Matrix. This class has three private data members
• rows: An integer that holds the numbers of rows for matrix.
• columns: An integer that holds the numbers of columns for matrix.
• matrix: An integer pointer to pointer that points to 2D array (rows x columns).
The class has the following member functions.
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Matrix (int r, int c)
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Constructs a new Matrix object to represent the given matrix
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operator = |
Overload = operator to assign values |
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operator ==
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Overload == operator to compare whether matrices are equal or not |
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d2=d1+1
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Overload + operator which takes integer as argument. It preforms scalar addition. |
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d2=d1-4
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Overload – operator which takes integer as argument. It preforms scalar subtraction. |
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d3=d1+d2
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Overload + operator which takes matrix object as argument. It adds two matrixes and returns the result. |
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d3=d1-d2
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Overload – operator which takes matrix object as argument. It subtracts two matrixes and returns the result. |
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d++
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Overload Post-increment Operator
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++d
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Overload Pre-increment Operator
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d–
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Overload Post-decrement Operator
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–d
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Overload Pre-decrement Operator
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Matrix d3=d1*d2;
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Overload * operator which takes matrix object as argument. It multiplies two matrixes and returns the result. |
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Matrix d3=d1*2;
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Overload * operator which takes matrix object as argument. It preforms scalar multiplication. |
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Matrix d3=d1/2;
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Overload / operator which takes matrix object as argument. It preforms scalar division. |
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double value= ~d2;
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Overload ~ operator which takes matrix object as argument. It gives determinant of matrix. (unary operator) |
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void setRows(int r)
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It sets row of a matrix.
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int getRows()const
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Returns row of matrix.
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void setCol(int c)
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It sets column of a matrix.
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int getCol()const
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Returns column of matrix.
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operator string()
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Returns a String representation of matrix. Example 2X2 matrix “2X2 1-2 3-4” |
Write main function to test all the implemented functionality. (Do not submit main function)
