Assignment 05

Computer Exercise 1

The Fibonacci series:     0,1,1,2,3,5,8,13,21,....
begins with 0 and 1 and has the property that each subsequent Fibonacci number is the sum of the previous two Fibonacci numbers. Write: 

• a recursive function fibonacci_rec(n)                                        
• a non-recursive function fibonacci_nonrec(n) that calculates the nth Fibonacci number   

  Information: The series occurs in nature, few examples are the following:

• how fast rabbits could breed in ideal circumstances. (This is the original problem (in the year 1202))
• family trees of bees and cows.
• the golden ration or golden mean (Architects design windows, rooms and buildings based on golden ratio)
• sea shell sphapes, flower petal and seeds, pine cones, leaves and petal arrangements - involving the Fibonacci spiral.

Computer Exercise 2

The circle class

In a graphics program, very often there is a need to represent geometric objects, for example: square, ellipsis, triangle, etc. There is a need not only to position them accurately on the screen, not only to draw them and move them around the screen, but we also need to know and display their characteristics / attributes. For this programming assignment you will implement the circle class, where the attributes (data members) should be the following:

• x_coord (int): the x-coordinate of the circle

• y_coord(int): the y-coordinate of the circle

• radius (int):  the radius of the circle

• area (float): the area of the circle

• perimeter (float): the perimeter of the circle

The user should enter the x_coord, y_coord and radius attributes initially (from stdin). The member functions for the circle class should be the following:

• circle: constructor

• set_coordinates: set the x and y-coordinates of the circle

• set_radius: set the radius of the circle

• compute_area: compute the area of the circle

• compute_perim: compute the perimeter of the circle

• display: displays all the attributes of the circle

• get_x: return the x-coordinate of the circle

• get_y: return the y-coordinate for the circle

• get_area: return the area of the circle

• get_perim: return the perimeter of the circle

In order to check your circle class, write a circle_driver.cpp program, where you call all the member functions listed above in the same order.

*** In your program, please use the names that i suggested above for both (data members and member functions), name your . cpp file as circle_driver.cpp and create an object of type circle, with a name the_circle.