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package org.wlld.matrixTools; import java.util.ArrayList; import java.util.List; public class MatrixOperation { private MatrixOperation() { } public static List<Double> rowVectorToList(Matrix matrix) throws Exception { List<Double> list = new ArrayList<>(); for (int j = 0; j < matrix.getY(); j++) { list.add(matrix.getNumber(0, j)); } return list; } //重点 public static Matrix add(Matrix matrix1, Matrix matrix2) throws Exception {//矩阵相加 if (matrix1.getX() == matrix2.getX() && matrix1.getY() == matrix2.getY()) { Matrix matrix = new Matrix(matrix1.getX(), matrix1.getY()); int x = matrix1.getX(); int y = matrix1.getY(); for (int i = 0; i < x; i++) {//遍历行 for (int j = 0; j < y; j++) {//遍历列 matrix.setNub(i, j, matrix1.getNumber(i, j) + matrix2.getNumber(i, j)); } } return matrix; } else { throw new Exception("matrix is not equals"); } } //矩阵相减 重点 public static Matrix sub(Matrix matrix1, Matrix matrix2) throws Exception {// if (matrix1.getX() == matrix2.getX() && matrix1.getY() == matrix2.getY()) { Matrix matrix = new Matrix(matrix1.getX(), matrix1.getY()); int x = matrix1.getX(); int y = matrix1.getY(); for (int i = 0; i < x; i++) {//遍历行 for (int j = 0; j < y; j++) {//遍历列 matrix.setNub(i, j, matrix1.getNumber(i, j) - matrix2.getNumber(i, j)); } } return matrix; } else { throw new Exception("matrix is not equals"); } } //多元线性回归 public static Matrix getLinearRegression(Matrix parameter, Matrix out) throws Exception { if (parameter.getX() == out.getX() && out.isVector()) { //将参数矩阵转置 Matrix matrix1 = transPosition(parameter); //转置的参数矩阵乘以参数矩阵 Matrix matrix2 = mulMatrix(matrix1, parameter); //求上一步的逆矩阵 这一步需要矩阵非奇异,若出现奇异矩阵，则返回0矩阵，意味失败 Matrix matrix3 = getInverseMatrixs(matrix2); if (matrix3.getX() == 1 && matrix3.getY() == 1) { return matrix3; } else { //逆矩阵乘以转置矩阵 Matrix matrix4 = mulMatrix(matrix3, matrix1); //最后乘以输出矩阵,生成权重矩阵并返回 return mulMatrix(matrix4, out); } } else { throw new Exception("invalid regression matrix"); } } public static double getEDistByMatrix(Matrix matrix1, Matrix matrix2) throws Exception { if (matrix1.getX() == matrix2.getX() && matrix1.getY() == matrix2.getY()) { int x = matrix1.getX(); int y = matrix1.getY(); double sigma = 0; for (int i = 0; i < x; i++) { for (int j = 0; j < y; j++) { double sub = matrix1.getNumber(i, j) - matrix2.getNumber(i, j); sigma = sigma + Math.pow(sub, 2); } } return sigma / (x * y); } else { throw new Exception("two matrixes is not equals"); } } //返回两个向量之间的欧氏距离的平方 public static double getEDist(Matrix matrix1, Matrix matrix2) throws Exception { if (matrix1.isRowVector() && matrix2.isRowVector() && matrix1.getY() == matrix2.getY()) { Matrix matrix = sub(matrix1, matrix2); return getNorm(matrix); } else { throw new Exception("this matrix is not rowVector or length different"); } } public static double errorNub(Matrix matrix, Matrix avgMatrix) throws Exception {//求均方误差 int y = matrix.getY(); if (matrix.isRowVector() && avgMatrix.isRowVector() && y == avgMatrix.getY()) { double[] subAll = new double[y]; for (int j = 0; j < y; j++) { double mySelf = matrix.getNumber(0, j); double avg = avgMatrix.getNumber(0, j); double sub = Math.pow(avg - mySelf, 2); subAll[j] = sub; } double sigma = 0; for (int i = 0; i < y; i++) { sigma = sigma + subAll[i]; } return sigma / y; } else { throw new Exception("this matrix is not rowVector or length different"); } } public static Matrix pushVector(Matrix myMatrix, Matrix matrix, boolean addRow) throws Exception { //向一个矩阵里合并一个行向量或者列向量到矩阵行或者列的末尾 if (matrix.getX() == 1 || matrix.getY() == 1) { Matrix addMatrix; if (addRow) {//增加一行 if (matrix.getY() != myMatrix.getY()) { throw new Exception("this matrix column is not equals"); } addMatrix = new Matrix(myMatrix.getX() + 1, myMatrix.getY()); } else {//增加一列 if (matrix.getX() != myMatrix.getX()) { throw new Exception("this matrix row is not equals"); } addMatrix = new Matrix(myMatrix.getX(), myMatrix.getY() + 1); } for (int i = 0; i < addMatrix.getX(); i++) { for (int j = 0; j < addMatrix.getY(); j++) { if (addRow) { if (i == addMatrix.getX() - 1) {//最后一行 addMatrix.setNub(i, j, matrix.getNumber(0, j)); } else { addMatrix.setNub(i, j, myMatrix.getNumber(i, j)); } } else { if (j == addMatrix.getY() - 1) {//最后一列 addMatrix.setNub(i, j, matrix.getNumber(i, 0)); } else { addMatrix.setNub(i, j, myMatrix.getNumber(i, j)); } } } } return addMatrix; } else { throw new Exception("this matrix is not a vector"); } } public static Matrix push(Matrix matrix, double nub, boolean isRow) throws Exception {//向一个向量里PUSH一个值 if (matrix.getX() == 1 || matrix.getY() == 1) { Matrix myMatrix; int nubs; if (isRow) {//行向量 nubs = matrix.getY() + 1; myMatrix = new Matrix(1, nubs); } else {//列向量 nubs = matrix.getX() + 1; myMatrix = new Matrix(nubs, 1); } for (int i = 0; i < nubs; i++) { if (i == nubs - 1) { if (isRow) { myMatrix.setNub(0, i, nub); } else { myMatrix.setNub(i, 0, nub); } } else { if (isRow) {//行向量 myMatrix.setNub(0, i, matrix.getNumber(0, i)); } else {//列向量 myMatrix.setNub(i, 0, matrix.getNumber(i, 0)); } } } return myMatrix; } else { throw new Exception("this matrix is not a vector"); } } public static Matrix getPoolVector(Matrix matrix) throws Exception { if (matrix.getX() == 1 || matrix.getY() == 1) { Matrix vector; int nub; boolean isRow = false; if (matrix.getX() == 1) {//行向量 isRow = true; nub = m