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matrix.cpp
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matrix.cpp
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#include <iostream>
#include <iomanip>
#include <sstream>
#include <vector>
#include <string>
#include <algorithm>
#include "realMatrix.h"
#include "complex.h"
#include "complexMatrix.h"
#include "matrix.h"
using namespace std;
//default constructor for Matrix class
Matrix::Matrix():rows(0),columns(0),is_real(0) {}
//destructor for matrix class
Matrix::~Matrix() {}
//overloaded stream insertion operator for printing matrix
ostream &operator<<(ostream &out, Matrix &m)
{
//loops through all matrix elements
for (int i = 0; i<m.rows; i++){
for (int j = 0; j <m.columns; j++)
{
//m(i,j) calls overloaded operator for the complex class
out << setw(10) << m(i, j) << " ";
}
out << endl;
}
//return printed matrix stored in out
return out;
}
//overloaded multiply operator for multiplying matrices
Matrix &Matrix::operator* (Matrix & m2)
{
//initialize pointers to matrix objects
Matrix* m1_ptr;
Matrix* m2_ptr;
Matrix* m3_ptr;
m1_ptr = this;
m2_ptr = &m2;
//initialize temporary 2d matrix vector and another vector
//will be used for creating a matrix of desired size
vector< vector<Complex> > temp_matrix;
vector<Complex> in_vec;
Complex in;
//variables for indexing
int r, c, isreal;
isreal = 1;
r = rows;
c = m2.columns;
//creates matrix of desired size with all complex data point
//equal to 0+i0
for (int i = 0; i<c; i++)
in_vec.push_back(in);
for (int i = 0; i<r; i++)
temp_matrix.push_back(in_vec);
//nested for loops for multiplying each row and column according to
//rules of matrix multiplication
for (int i = 0; i< r; i++)
for (int j = 0; j<c; j++){
for (int k = 0; k < columns; k++)
temp_matrix[i][j] = temp_matrix[i][j] + this->operator()(i, k)* m2.operator()(k, j);
//is real is false if any imag part is nonzero
if ( temp_matrix[i][j].getImag() != 0)
isreal = 0;
}
//allocate memory
if (isreal)
m3_ptr = new realMatrix;
else
m3_ptr = new complexMatrix;
Matrix &m3 = *m3_ptr;
m3.importMatrix(temp_matrix);
return m3;
}
void inputMatrix(vector<vector<Complex>> &temp_matrix,int &is_real) {
int ln = 500;
int r_index = 1;
int c_index = 1;
int end1 = 0;
char line[ln];
//create line of characters equal to 0
for (int i = 0; i < 500; i++)
line[i] = '0';//static_cast<char>(0);
//alter line of characters based on user input
for (int i = 0; line[i - 1] != ']'; i++)
line[i] = cin.get();
ln = 500;
r_index = 1;
c_index = 1;
//figure out the number of rows and columns
end1 = 0;
for (int i = 0; i < ln; i++) {
if (line[i] == ';') {
r_index++; //increase row amount every time there is a semicolon
if (r_index == 2)
end1 = i;
}
}
if (end1 == 0) end1 = ln;
for (int i = 3; i < end1; i++) {
if (line[i] == ' '){
switch (line[i + 1])
{
case ';':
i = end1;
break;
//if there is a space followed by a number
//increment column count
case '0':
case '1':
case '2':
case '3':
case '4':
case '5':
case '6':
case '7':
case '8':
case '9':
c_index++;
break;
case '+':
//if a plus sign, increment index and start over
i += 3;
break;
case '-':
//if negative sign, check next element
if (line[i + 2] == ' ')
//if next is a space, increment and start over
i += 3;
else
//if not, it is a number and increment column count
c_index++;
break;
}
}
}
//initialize 2d vector for matrix elements and
//complex object for filling in vector
Complex c1;
vector<Complex> vec;
//creates 2d vector of the right size
for (int i = 0; i<c_index; i++)
vec.push_back(c1);
for (int i = 0; i<r_index; i++)
temp_matrix.push_back(vec);
//extracting complex number values from input
stringstream ss;
double real = 0;
int i, j, k, l, r, c;
r = 0;
c = 0;
for (i = 3; i < ln && line[i] != ']'; i++) {
for (j = i; line[j] != ' '; j++);
//if complex sign
if (line[j + 3] == 'i') {
for (k = j + 4; line[k] != ' '; k++);
for (l = i; l < k; l++) {
ss << line[l];
}
ss << " ";
i = k;
//string puts input to complex number
ss >> c1;
}
//if no complex sign
else {
for (l = i; l < j; l++) {
ss << line[l];
}
ss << " ";
i = j;
ss >> real;
c1.setReal(real);
c1.setImag(0);
}
if (line[i + 1] == ';')
i = i + 2;
//store c1 variable to location in temp_matrix
temp_matrix[r][c].setReal(c1.getReal());
temp_matrix[r][c].setImag(c1.getImag());
if (c == c_index - 1){
r++;
c = 0;
}
else
c++;
if (r == r_index)
break;
}
//is_real is true until a nonzero imagPart component is found
is_real = 1;
for (i = 0; i < r_index; i++)
for (j = 0; j < c_index; j++)
if (temp_matrix[i][j].getImag() != 0) is_real = 0;
return;
}