Math Sets

Let's say you have a universe (U) set:

• U = {a,b,c,d,e,f,g,h,k,l,m,n,o,p,q,r,s,t,u,v,x,y,w,z}

And the content of each element of U set are:

• a = {b,c}
• b = {d,e}
• c = {p}
• d = {}
• e = {f,g,h}
• f = {k,l,m,n,o}
• g = {q,r}
• h = {i,j}
• i = {}
• j = {t,u,v}
• k = {w,z}
• l = {s}
• m = {}
• n = {}
• o = {}
• p = {}
• q = {x,y}
• r = {}
• s = {}
• t = {}
• u = {}
• v = {}
• x = {}
• y = {}
• w = {}
• z = {}

The JavaDiagram API, converts the U set into an array and then creates a hierarchical block-diagram that represents the universe set. This diagram will be a .png file and will looks like:

To create this result the code is really simple:

/* First, declare your universe set as a common String.*/
private String universeSet =	"a = {b,c}	" +
	                        "b = {d,e}	" +
	                        "c = {p}	" +
	                        "d = {}		" +
	                        "e = {f,g,h}	" +
	                        "f = {k,l,m,n,o}" +
	                        "g = {q,r}      " +
	                        "h = {i,j}      " +
	                        "i = {}         " +
	                        "j = {t,u,v}    " +
	                        "k = {w,z}      " +
	                        "l = {s}        " +
	                        "m = {}         " +
	                        "n = {}         " +
	                        "o = {}         " +
	                        "p = {}  	" +
	                        "q = {x,y}      " +
	                        "r = {}         " +
	                        "s = {}         " +
	                        "t = {}         " +
	                        "u = {}         " +
	                        "v = {}         " +
	                        "x = {}         " +
	                        "y = {}         " +
	                        "w = {}         " +
	                        "z = {}         ";
	
	public void testConvert(){

                /* Second, instantiate the StructureCreator */
		StructureCreator sc = new StructureCreator();

                /* Third, convert your U set into an array of Retagules */
		ArrayList<RetanguleBox> retArray = sc.convert(universeSet);
		
                /* Forth, instantiate the DiagramCreator passing a png file name/path */
		DiagramCreator dc = new DiagramCreator("/tmp/test2.png");

                /* Fiftieth and finally, call the design method, passing the converted array */ 
		dc.design(retArray);
	}