mmathlib/matrix.hpp

#pragma once
#include "vector.hpp"
#include <iostream>
#include <sstream>
#include <string>
using namespace std;
class matrix {
private:
  long long num_cols;
  long long num_rows;
  vector *cols;

public:
  matrix(const long long num_rows, const long long num_cols) {
    this->num_cols = num_cols;
    this->num_rows = num_rows;
    this->cols = (vector *)calloc(sizeof(vector), num_cols);
    for (long long i = 0; i < num_cols; i++) {
      this->cols[i] = vector(num_rows);
    }
  }
  matrix(const matrix &m) {
    this->num_cols = m.num_cols;
    this->num_rows = m.num_rows;
    this->cols = (vector *)calloc(sizeof(vector), m.num_cols);
    for (long long i = 0; i < m.num_cols; i++) {
      this->cols[i] = m[i];
    }
  }
  ~matrix() {
    this->num_cols = 0;
    this->num_rows = 0;
    free(this->cols);
    this->cols = NULL;
  }
  const cnumber determinant() const {
	  cnumber dsum(1,0);
	  cnumber osum(1,0);
	  vector diag = this->get_diagonal();
	  vector odiag = this->get_off_diagonal();
	  for (long long i = 0; i < diag.get_dimention(); i++) {
		  dsum = dsum * diag[i];
		  osum = osum * odiag[i];
	  }
	  return dsum - osum;
  }
  const vector get_diagonal() const {
    long long diag_len = this->num_rows;
    if (this->num_cols < diag_len) {
      diag_len = this->num_cols;
    }
    vector v(diag_len);
    for (long long i = 0; i < this->num_cols; i++) {
      for (long long j = 0; j < this->num_rows; j++) {
        if (i == j) {
          v[i] = this->cols[i][j];
        }
      }
    }
    return v;
  }
  const vector get_off_diagonal() const {
    long long diag_len = this->num_rows;
    if (this->num_cols < diag_len) {
      diag_len = this->num_cols;
    }
    vector v(diag_len);
    for (long long i = 0; i < this->num_cols; i++) {
      for (long long j = 0; j < this->num_rows; j++) {
        if (i + j == this->num_rows - 1) {
          v[i] = this->cols[i][j];
        }
      }
    }
    return v;
  }
  const vector get_row(long long index) const { return this->cols[index]; }

  const vector get_column(long long index) const {
    vector v(this->num_rows);
    for (long long j = 0; j < this->num_rows; j++) {
      v[j] = this->cols[j][index];
    }
    return v;
  }

  const matrix rotate_ninety() const {
    matrix m(this->num_cols, this->num_rows);
    return m;
  }
  const matrix transpose() const {
    matrix n(this->num_rows, this->num_cols);
    for (long long i = 0; i < this->num_cols; i++) {
      for (long long j = 0; j < this->num_rows; j++) {
        n[j][i] = this->cols[i][j];
      }
    }

    return n;
  }
  const matrix conjugate() const {
    matrix n(this->num_cols, this->num_rows);
    for (long long i = 0; i < this->num_cols; i++) {
      for (long long j = 0; j < this->num_rows; j++) {
        n[i][j] = this->cols[i][j].conjugate();
      }
    }

    return n;
  }
  const matrix hermitian_conjugate() const {
    return this->transpose().conjugate();
  }
  const bool is_hermitian() const {
    if (this->num_rows != this->num_cols)
      return false;
    matrix m = this->hermitian_conjugate();
    bool equal = true;
    for (long long i = 0; i < m.num_cols; i++) {
      for (long long j = 0; j < m.num_rows; j++) {
        if (m[i][j] != this->cols[i][j]) {
          equal = false;
        }
      }
    }
    return equal;
  }
  friend ostream &operator<<(ostream &os, const matrix &m) {
    char last = '\0';
    for (long long i = 0; i < m.num_cols; i++) {
      for (long long j = 0; j < m.num_rows; j++) {
        string symbols[3];
        symbols[0] = "|";
        ostringstream oss;
        oss << " " << m.cols[i][j] << " ";
        symbols[1] = oss.str();
        symbols[2] = "|";
        for (int i = 0; i < 3; i++) {
          int len = symbols[i].length() - 1;
          char cur = symbols[i][0];
          if (cur != last) {
            os << symbols[i];
          }
          last = symbols[i][len];
        }
      }
      if (i != m.num_cols - 1)
        os << endl << "|";
    }
    return os;
  }
  const bool operator==(const matrix &m) const {
    bool equal = true;
    for (long long i = 0; i < this->num_cols; i++) {
      for (long long j = 0; j < this->num_rows; j++) {
        if (this->cols[i][j] != m[i][j]) {
          equal = false;
        }
      }
    }
    return equal;
  }
  const vector operator[](const long long index) const {
    return this->cols[index];
  }
  const matrix operator*(const cnumber z) const {
    matrix n(this->num_cols, this->num_rows);
    for (long long i = 0; i < this->num_cols; i++) {
      n[i] = this->cols[i] * z;
    }

    return n;
  }
  const matrix operator*(const matrix m) const {
    matrix n(this->num_cols, m.num_rows);
    // if (this->num_cols != m.num_rows && m.num_cols != this->num_rows)
    //   return n;
    for (long long i = 0; i < this->num_rows; i++) {
      for (long long j = 0; j < this->num_rows; j++) {
        n[i][j] = this->get_row(i) * m.get_column(j);
      }
    }

    return n;
  }

  const matrix operator+(const matrix &m) const {
    matrix n(this->num_cols, this->num_rows);
    for (long long i = 0; i < this->num_cols; i++) {
      n[i] = this->cols[i] + m[i];
    }

    return n;
  }
  const matrix operator-(const matrix &m) const {
    matrix n(this->num_cols, this->num_rows);
    for (long long i = 0; i < this->num_cols; i++) {
      n[i] = this->cols[i] - m[i];
    }

    return n;
  }
  // FIXME: Figure out how to make sure you do not try to access something
  // outside of the index
  vector &operator[](const long long index) { return this->cols[index]; }
};