[SOLVED] CS102- Lab 01

Description

Notes:

• For all labs in CS 102, your solutions must conform to these CS101/102 styl​ e guidelines.​
• Create a Java Project named Lab01. Put all of your classes in this project.
• Remember to include javadoc​ ​ comments​     for each class and method.​
• Upload your solution as a single .zip file​ to the Lab01 assignment for your section​       by the end of your section’s lab session on the week of February 8. You must use the following naming convention: Lab01_Surname_FirstName.zip where Surname is your family name and FirstName is your first name. You may upload multiple times; the last upload will be considered.

Question In​ this lab, you are going to implement2 an Polynomial​ class that​ represents polynomials of the form P(x) = c​0 + c​1x + c​2x​ ^​ + … + c​nx​

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The class should do the following:

1. Polynomial class should contain its coefficients in an array. Use double type for​
2. Include a constructor that takes an integer, d​ , and a double, ​ c​ , to construct​ polynomials of the form P(x) = cx​           ​^d​.

Include a default constructor that takes no argument and constructs a zero polynomial (P(x) = 0​ ).​

3. Include another constructor that takes an array of coefficients and produces a polynomial with these coefficients.
4. Add a getter method for a coefficient which takes degree and returns the coefficient of the term with that degree.
5. Include getDegree()​ method that returns the degree of the polynomial. Degree of a​         polynomial is the degree of highest non-zero term in a polynomial. For example, the degree of polynomial P(x) = 4 – 5x​ ​^2​ + 12x​^3​ is 3. You can assume that the degree of zero polynomial is 0.
6. Add toString()​ ​ method that returns ​  String​              representation of the polynomial.​        Zero terms in the polynomial should not be included in the string.

For instance, for the polynomial P(x)​ = 4 – 5x​² + 2x​^3​, toString()​ method should return “4.0 – 5.0x^2 + 2.0x^3”​         .​

7. Add eval( double x )​ method that evaluates the polynomial at ​       x ​          and returns​        the result.
   1. Use pow( double a, double b )​ method to evaluate each term​ individually and the polynomial as a sum of the terms.
   2. Implement another method, eval2( double x )​ that evaluates the​ polynomial using Horner’s method. Horner’s method is an efficient way of evaluating polynomials at a given point. A polynomial P(x) = c​              ​0 + c_​    ​1x +_​        c​2x_​ ²​ ^​ + … + c​nx_​ ⁿ​ ^​ can be evaluated at x​ ​0 by rearranging computation as_​  

P(x​0)​ = (( … ( (c​n)​ x​0 + c​ n-1​​) x​0 … + c​ 4​ ) x​ ​0​ + c ​3)​ x​0 + c​ ​1)​ x​0 + c​ ​0 and​ computing the result from the innermost parentheses to outwards.

8. Implement a class called PolynomialTester​ to test your ​     Polynomial​  ​