JAVA
用图形用户界面程序实现矩阵的基本运算。
package Math;
/**
* 矩阵基本运算
* @author woyouyihujiu
*
*/
public class BasicMatrixMath {
public static final int OPEROPERATION_ADD = 1;
public static final int OPEROPERATION_SUB = 2;
public static final int OPEROPERATION_MUL = 3;
/**
* 矩阵加法运算
* @param matrix_a 矩阵a
* @param matrix_b 矩阵b
* @return result1 运算合法，返回结果
*/
public int[][] additive(int[][] matrix_a, int[][] matrix_b){
int[][] result1 = new int[matrix_a.length][matrix_a[0].length];
if(legalOperation(matrix_a, matrix_b, OPEROPERATION_ADD)){
for(int i = 0; i < matrix_a.length; i++){
for(int j = 0; j < matrix_a[0].length; j++){
result1[i][j] = matrix_a[i][j] + matrix_b[i][j];
}
}
}
return result1;
}
/**
* 矩阵减法运算
* @param matrix_a 矩阵a
* @param matrix_b 矩阵b
* @return result2 运算合法，返回结果
*/
public int[][] subtraction(int[][] matrix_a, int[][] matrix_b){
int[][] result2 = new int[matrix_a.length][matrix_a[0].length];
if(legalOperation(matrix_a, matrix_b, OPEROPERATION_SUB)){
for(int i = 0; i < matrix_a.length; i++){
for(int j = 0; j < matrix_a[0].length; j++){
result2[i][j] = matrix_a[i][j] - matrix_b[i][j];
}
}
}
return result2;
}
/**
* 矩阵乘法运算a 矩阵与矩阵相乘
* @param matrix_a 矩阵a
* @param matrix_b 矩阵b
* @return result3 运算合法，返回结果; null 运算不合法
*/
public int[][] multiplication_a(int[][] matrix_a, int[][] matrix_b){
int[][] result3 = new int[matrix_a.length][matrix_b[0].length];
if(legalOperation(matrix_a, matrix_b, OPEROPERATION_MUL)){
for(int i = 0; i < matrix_a.length; i++){
for(int j = 0;j < matrix_a[0].length; j++){
result3[i][j] = calculateSingleResult(matrix_a, matrix_b, i, j);
}
}
return result3;
}else{
return null;
}
}
/**
* 矩阵乘法运算b 矩阵的数乘
* @param matrix_a 矩阵a
* @param n 数n
* @return result4 运算合法，返回结果
*/
public int[][] multiplication_b(int[][] matrix_a, int n){
int[][] result4 = new int[matrix_a.length][matrix_a[0].length];
for(int i = 0; i < matrix_a.length; i++){
for(int j = 0; j < matrix_a[0].length; j++){
result4[i][j] = n * matrix_a[i][j];
}
}
return result4;
}
/**
* 矩阵乘法a中result每个元素的单一运算
* @param matrix_a 矩阵a
* @param matrix_b 矩阵b
* @param row 参与单一运算的行标
* @param col 参与单一运算的列标
* @return result 运算结果
*/
public int calculateSingleResult(int[][] matrix_a, int[][] matrix_b, int row, int col){
int result = 0;
for(int i = 0; i < matrix_a[0].length; i++){
result += matrix_a[row][i] * matrix_b[i][col];
}
return result;
}
/**
* 判断矩阵是否可以进行合法运算
* @param matrix_a 矩阵a
* @param matrix_b 矩阵b
* @param type 判断运算类型，是加法，减法，还是乘法运算
* @return legal true 运算合法; false 运算不合法
*/
private boolean legalOperation(int[][] matrix_a, int[][] matrix_b, int type){
boolean legal = true;
if(type == OPEROPERATION_ADD || type == OPEROPERATION_SUB){
if(matrix_a.length != matrix_b.length || matrix_a[0].length != matrix_b[0].length){
legal = false;
}
}else if(type == OPEROPERATION_MUL){
if(matrix_a.length != matrix_b[0].length){
legal = false;
}
}
return legal;
}
public static void main(String[] args) {
int a[][] = new int[][]{{1,2},{3,4}};
int b[][] = new int[][]{{5,6},{7,8}};
BasicMatrixMath bmm = new BasicMatrixMath();
System.out.println("addition two matrix");
int[][] result = bmm.additive(a, b);
for (int i = 0; i < result.length; i++) {
for (int j = 0; j < result[0].length; j++) {
System.out.print("\t" + result[i][j]);
}
System.out.println();
}
System.out.println("substract two matrix");
int[][] result1 = bmm.subtraction(a, b);
for (int i = 0; i < result1.length; i++) {
for (int j = 0; j < result1[0].length; j++) {
System.out.print("\t" + result1[i][j]);
}
System.out.println();
}
System.out.println("multiplex one matrix");
result = bmm.multiplication_b(a, 3);
for (int i = 0; i < result.length; i++) {
for (int j = 0; j < result[0].length; j++) {
System.out.print("\t" + result[i][j]);
}
System.out.println();
}
System.out.println("multiplex two matrix");
result = bmm.multiplication_a(a, b);
for (int i = 0; i < result.length; i++) {
for (int j = 0; j < result[0].length; j++) {
System.out.print("\t" + result[i][j]);
}
System.out.println();
}
}
}