package matrix;
import java.math.BigDecimal;
/**
*
* @author Marius Bologa
*
*/
public final class Matrix {
/**
*
*/
private Matrix() {
}
/**
*
* @param a
* BigDecimal[][] Matrix.
*/
public static void show(final BigDecimal[][] a) {
for (int i = 0; i < a.length; i++) {
for (int j = 0; j < a[0].length; j++) {
System.out.printf("%9.4f ", a[i][j]);
}
System.out.println();
}
}
/**
*
* @param rows
* Number of rows.
* @param colums
* Number of colums.
* @return A new matrix.
*/
public static BigDecimal[][] random(final int rows, final int colums) {
BigDecimal[][] a = new BigDecimal[rows][colums];
for (int i = 0; i < a.length; i++) {
for (int j = 0; j < a[0].length; j++) {
a[i][j] = new BigDecimal(Math.random());
}
}
return a;
}
/**
*
* @param args
* Not used.
*/
public static void main(final String[] args) {
BigDecimal[][] a = random(2, 3);
BigDecimal[][] b = random(2, 2);
BigDecimal[][] c;
MatrixOperations singletonMatrixOperations =
MatrixOperations.getInstance();
show(a);
System.out.println();
show(b);
System.out.println("The sum of the 2 matrices is: ");
c = singletonMatrixOperations.add(a, b);
if (c != null) {
show(c);
}
System.out.println();
System.out.println("The difference of the 2 matrices is: ");
c = singletonMatrixOperations.subtract(a, b);
if (c != null) {
show(c);
}
System.out.println();
System.out.println("The product of the 2 matrices is: ");
c = singletonMatrixOperations.multiply(a, b);
if (c != null) {
show(c);
}
System.out.println();
BigDecimal numberA = new BigDecimal("10");
System.out.println("The product of the first matrix with "
+ numberA + " is:");
c = singletonMatrixOperations.multiplyScalar(a, numberA);
if (c != null) {
show(c);
}
System.out.println();
BigDecimal numberB = new BigDecimal("10");
System.out.println("The product of the second matrix with "
+ numberB + " is:");
c = singletonMatrixOperations.multiplyScalar(b, numberB);
if (c != null) {
show(c);
}
System.out.println();
System.out.println("The determinant of the matrix A is:");
BigDecimal det = singletonMatrixOperations.determinant(a);
String determinantA = det.setScale(
5, BigDecimal.ROUND_CEILING).toString();
//Takes only 5 digits after the point.
System.out.println(determinantA);
System.out.println();
System.out.println("The determinant of the matrix B is: ");
BigDecimal detB = singletonMatrixOperations.determinant(b);
String determinantB = detB.setScale(
5, BigDecimal.ROUND_CEILING).toString();
//Takes only 5 digits after the point.
System.out.println(determinantB);
System.out.println();
System.out.print("The matrices A and B are equal?");
System.out.println();
System.out.println(singletonMatrixOperations.areEqual(a, b)
? "Yes!" : "No!");
System.out.println();
System.out.print("Is A zero matrix? ");
System.out.println();
System.out.println(singletonMatrixOperations.isZeroMatrix(a)
? "Yes!" : "No!");
System.out.println();
System.out.print("Is B zero matrix? ");
System.out.println();
System.out.println(singletonMatrixOperations.isZeroMatrix(b)
? "Yes!" : "No!");
System.out.println();
System.out.print("Is A identity matrix? ");
System.out.println();
System.out.println(singletonMatrixOperations.isIdentityMatrix(a)
? "Yes!" : "No!");
System.out.println();
System.out.print("Is B identity matrix? ");
System.out.println();
System.out.println(singletonMatrixOperations.isIdentityMatrix(b)
? "Yes!" : "No!");
System.out.println();
System.out.print("The fill degree of the matrix A is:");
BigDecimal fillDegreeA = singletonMatrixOperations.fillDegree(a);
String degreeA = fillDegreeA.toString();
System.out.println(degreeA + "%");
System.out.print("The fill degree of the matrix B is:");
BigDecimal fillDegreeB = singletonMatrixOperations.fillDegree(b);
String degreeB = fillDegreeB.toString();
System.out.println(degreeB + "%");
}
}
/*Advantages: It is created only one instance(and there is no need for more than one instance)
* of the class MatrixOperations and it can be accessed by different programs.
*/
