day8 矩阵相乘
8.1 题目解读
矩阵相乘(只有第一个矩阵的列和第二个矩阵的行相等): a矩阵(mn),b矩阵(np)则能相乘,且相乘后的矩阵为m*p。故在矩阵相乘是在一定条件下才能进行,需要用到if判断。
8.2代码
package basic;
import java.util.Arrays;
public class MatrixMultiplication {
public static void main(String[] args) {
matrixMultiplicationTest();
}
/**
* Matrix multiplication. The columns of the first matrix should be equal to the rows of the second one.
* @param paraFirstMatrix The first matrix.
* @param paraSecondMatrix The second matrix
* @return The result matrix.
*/
public static int[][] multiplication(int[][] paraFirstMatrix, int[][] paraSecondMatrix){
//m*n n*p == m*p
int m = paraFirstMatrix.length;
int n = paraFirstMatrix[0].length;
int p = paraSecondMatrix[0].length;
// Step 1. Dimension check.
if (paraSecondMatrix.length != n) {
System.out.println("The two matrices cannot be multiplied.");
return null;
}
// Step 2. The loop. m*n n*p == m*p
int[][] resultMatrix = new int[m][p];
for (int i = 0; i < m; i++) {
for (int j = 0; j < p; j++) {
for (int k = 0; k < n; k++) {
resultMatrix[i][j] += paraFirstMatrix[i][k] * paraSecondMatrix[k][j];
}
}
}
return resultMatrix;
}
public static void matrixMultiplicationTest(){
int[][] tempFirstMatrix = new int[2][3];
for (int i = 0; i < tempFirstMatrix.length; i++) {
for (int j = 0; j < tempFirstMatrix[0].length; j++) {
tempFirstMatrix[i][j] = i + j;
}
}
System.out.println("The first matrix is: \r\n" + Arrays.deepToString(tempFirstMatrix));
int[][] tempSecondMatrix = new int[3][2];
for (int i = 0; i < tempSecondMatrix.length; i++) {
for (int j = 0; j < tempSecondMatrix[0].length; j++) {
tempSecondMatrix[i][j] = i * 10 + j;
}
}
System.out.println("The second matrix is: \r\n" + Arrays.deepToString(tempSecondMatrix));
int[][] tempThirdMatrix = multiplication(tempFirstMatrix, tempSecondMatrix);
System.out.println("The third matrix is: \r\n" + Arrays.deepToString(tempThirdMatrix));
System.out.println("Trying to multiply the first matrix with itself.\r\n");
tempThirdMatrix = multiplication(tempFirstMatrix, tempFirstMatrix);
System.out.println("The result matrix is: \r\n" + Arrays.deepToString(tempThirdMatrix));
}
}
day9 while 语句
代码
还有一种循环是 do...while,其循环至少要执行一次循环体,而for和while循环需要先判断条件是否成立 在决定是否执行循环语句
package basic;
public class WhileStatement {
public static void main(String[] args) {
whileStatementTest();
}
/**
* The sum not exceeding a given value.
*/
public static void whileStatementTest() {
int tempMax = 100;
int tempValue = 0;
int tempSum = 0;
// Approach 1.
while (tempSum <= tempMax) {
tempValue++;
tempSum += tempValue;
System.out.println("tempValue = " + tempValue + ", tempSum = " + tempSum);
}
tempSum -= tempValue;
System.out.println("The sum not exceeding " + tempMax + " is: " + tempSum);
// Approach 2.
System.out.println("\r\nAlternative approach.");
tempValue = 0;
tempSum = 0;
while (true) {
tempValue++;
tempSum += tempValue;
System.out.println("tempValue = " + tempValue + ", tempSum = " + tempSum);
if (tempMax < tempSum) {
break;
}
}
tempSum -= tempValue;
System.out.println("The sum not exceeding " + tempMax + " is: " + tempSum);
}
}