An equilateral triangle is a triangle whose sides are equal

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An equilateral triangle is a triangle whose sides are equal. If two equliateral triangles are “glued” together along a common side, this will form a diamond. You are to write a class called Diamond, using filenames  diamond.h  and  diamond.cpp , that will allow the creation and handling of diamonds based on the above description, whose sides are integers in the range 1-39.


1.     The single constructor for the Diamond class should have 3 parameters: an integer size (required), which is the length of a side; a border character (optional, with a default of  ‘#’ ); and a fill character (optional, with a default of  ‘*’ ). If the size provided is less than 1, set the size to 1. If the size provided is greater than 39, set the size to 39. The class will need to provide internal storage for any member data that must be kept track of. 

2.     There should be member functions  GetSize ,  Perimeter , and  Area , which will return the size of a side, the perimeter of the diamond, and the area of the diamond, respectively. The first 2 should return integer results. The  Area  function should return its result as a double. 

3.     There should be member functions  Grow  and  Shrink , which will increase or decrease (respectively) the size of the Diamond’s sides by 1, unless this would cause the size to go out of bounds (out of the 1-39 range); in the latter case,  Grow  and  Shrink  should make no change to the size. 

4.     There should be member functions  SetBorder  and  SetFill , which each allow a new border or fill character (respectively) to be passed in as a parameter. There is a chart of ASCII characters in an appendix of the textbook. The characters that should be allowed for the border or fill characters are any characters from the  ‘!’  (ascii 33) up through the  ‘~’  (ascii 126). If an attempt is made to set the border or fill characters to anything outisde the allowable range, the function should set the border or fill back to its original default (the ones listed for the constructor — the border default is  ‘#’  and the fill default is  ‘*’ ). 

5.     There should be a member function called  Draw  that will display a picture of the Diamond on the screen. You may assume that the cursor is already at the beginning of a line when the function begins, and you should make sure that you leave the cursor on the line following the picture afterwards (i.e. print a newline after the last line of the diamond). Use the border character to draw the border of the diamond, and use the fill character to draw the internal characters. Separate the characters on a line in the picture by a single space to make the Diamond look more proportional (so that the halves look more like equilateral triangles). You may not use formatting functions like setw  to draw the diamond. This must be handled with loops. (You will only print out the newline, spaces, the border character, and maybe the fill character on any given line). 

6.     Provide a member function called  Summary  that displays all information about a diamond: its size, perimeter, area, and a picture of what it looks like. When displaying the area (decimal data), always show exactly 2 decimal places. Your output should be in the exact same format as mine (seen in the linked sample run below)


1.     General Requirements

o    No global variables, other than constants!

o    All member data of your class must be private

o    You will need to use the  <iostream>  library for output.  You may use the  <iomanip>  library for formatting your decimal output to two places, if you wish to use the parameterized stream manipulators, but you may not use  setw()  or other output formatting functions for drawing the actual diamond. You may use the  <cmath>  library

o    When you write source code, it should be readable and well-documented.

o    Your diamond.h file should contain the class declaration only.  The diamond.cpp file should contain the member function definitions.