package serie04;

import java.util.ArrayList;

public class Operation {
	private int[][] table;
	private int size;
	
	public Operation(int size, int[][] table) {
		if (size < 1) throw new NegativeArraySizeException();
		this.size = size;
		this.table = table;
	}
	
	public int calculate(int indexA, int indexB) {
		if(indexA >= this.size || indexB >= this.size)throw new IndexOutOfBoundsException();
		return this.table[indexA][indexB];
	}
	
	public boolean validateTable() {
		
		//validate rows and check closedness 
		for(int i = 0; i < this.size; i++) {
			ArrayList<Integer> used = new ArrayList<Integer>();
			for(int j = 0; j < this.size; j++) {
				if(this.table[i][j] >= this.size || this.table[i][j] < 0) return false;
				if (isIn(this.table[i][j], used)) return false;
				used.add(this.table[i][j]);
			}
		}
		//validate columns
		for(int j = 0; j < this.size; j++) {
			ArrayList<Integer> used = new ArrayList<Integer>();
			for(int i = 0; i < this.size; i++) {
				if (isIn(this.table[i][j], used)) return false;
				used.add(this.table[i][j]);
			}
		}
		
		return this.checkAssociativity();
	}
	
	public boolean checkAssociativity() {
		
		for(int a = 0; a < this.size; a++) {
			for(int b = 0; b < this.size; b++) {
				for(int c = 0; c < this.size; c++) {
					if (this.checkAssociativity(a, b, c) == false) return false;
				}
			}
		}
		
		return true;
	}
	
	public boolean checkAssociativity(int indexA, int indexB, int indexC) {
		
		return this.calculate(indexA, this.calculate(indexB, indexC)) == this.calculate(this.calculate(indexA, indexB), indexC);
		
	}
	
	private static boolean isIn(int a, ArrayList<Integer> array) {
		for(int i = 0; i < array.size(); i++) {
			if (a == array.get(i)) return true;
		}
		return false;
	}
	
	public int getSize() {
		return this.size;
	}
	
}