package serie04;

public class Field {
	
	private int size;
	private Addition addition;
	private Multiplication multiplication;
	
	public Field(int size, Addition addition, Multiplication multiplication) {
		
		if(addition.getSize() != size || multiplication.getSize() + 1 != size) {
			throw new ArithmeticException();
		}
		
		this.size = size;
		this.addition = addition;
		this.multiplication = multiplication;		
	}
	
	public boolean checkDistributivity(int indexA, int indexB, int indexC) {
		
		int leftSide = multiplication.calculate(indexA, addition.calculate(indexB, indexC));
		int rightSide = addition.calculate(multiplication.calculate(indexA, indexB), multiplication.calculate(indexA, indexC));
		
		return leftSide == rightSide;
	}
	
	public boolean checkDistributivity() {
		
		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.checkDistributivity(a, b, c) == false) return false;
				}
			}
		}
		
		return true;
	}
	
	public boolean verifyField() {
		
		if (this.multiplication.validateTable() == false) return false;
		
		if (this.addition.validateTable() == false) return false;
		
		if (this.checkDistributivity() == false) return false;
		
		return true;
	}
	
}