92 lines
2.5 KiB
C++
92 lines
2.5 KiB
C++
//
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// Created by 顾涵彬 on 2019-08-29.
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//
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#ifndef MATRIX_SQUAREMATRIX_H
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#define MATRIX_SQUAREMATRIX_H
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#include "Matrix.h"
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namespace Ctain {
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#define Matrix Matrix<_Scalar>
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template<typename _Scalar>
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class SMatrix: public Matrix{
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public:
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SMatrix(int D) : Matrix(D, D) {}
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SMatrix() : Matrix(0, 0) {}
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SMatrix(_Scalar _data[], int D) :
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Matrix(_data, D, D) {}
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SMatrix(_Scalar **_data, int D) :
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Matrix(_data, D, D) {}
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SMatrix(Matrix m) :
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Matrix(m) {}
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// void operator =(const Matrix &m){
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// }
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_Scalar determinant();
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_Scalar M(int m, int n);
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SMatrix<_Scalar> inverse() {
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SMatrix<_Scalar> res(Matrix::_Rows);
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_Scalar d = determinant();
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for(int i = 0; i < Matrix::_Rows; i++) {
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for (int j = 0; j < Matrix::_Cols; j++) {
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res.Data(j, i) = 1.0*M(i, j)/d;
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}
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}
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return res;
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}
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};//class Matrix end
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template<typename _Scalar>
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_Scalar SMatrix<_Scalar>::determinant() {
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int r, c, m;
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int lop = 0;
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int n = Matrix::_Rows;
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_Scalar result = 0;
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_Scalar mid = 1;
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if (n != 1) {
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lop = (n == 2) ? 1 : n;
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for (m = 0; m < lop; m++) {
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mid = 1;
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for (r = 0, c = m; r < n; r++, c++) {
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mid = mid * (*(Matrix::data+r*n+c%n));
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}
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result += mid;
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}
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for (m = 0; m < lop; m++) {
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mid = 1;
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for (r = 0, c = n-1-m+n; r < n; r++, c--) {
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mid = mid * (*(Matrix::data+r*n+c%n));
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}
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result -= mid;
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}
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}
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else
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result = Matrix::data[0];
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return result;
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}
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template<typename _Scalar>
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_Scalar SMatrix<_Scalar>::M(int m, int n) {
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float mid_result = 0;
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int sign = 1;
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int k = Matrix::_Rows;
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SMatrix mid(k-1);
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int c = 0;
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for (int i = 0; i < k; i++) {
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for (int j = 0; j < k; j++) {
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if (i != m && j != n)
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{
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mid.Data(c++) = Matrix::cData(i,j);
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}
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}
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}
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sign = (m+n)%2 == 0 ? 1 : -1;
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mid_result = (float)sign*mid.determinant();
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return mid_result;
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}
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#undef Matrix
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}//namespace Ctain end
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#endif //MATRIX_SQUAREMATRIX_H
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