Storing mxarrays and their elements from a mat file to visual studio map

Hello, im trying to extract variables from a mat File and store their names and their elements in visual studio using map. I've reached to a point where i can read the contents but im not sure how to store them in the map.

#include "mat.h"
#include <iostream>
#include <std_lib_facilities.h>
#include <map>

void main()
{
  MATFile *pmat;
  const char* name = NULL;
  mxArray *pa;
  vector<double> v;
  map<char, vector<double> > MxArrays_Elements;

  /* open mat file and read it's content */
  pmat = matOpen("CarMakerSlalom.mat", "r");
  if (pmat == NULL)
  {
    printf("Error Opening File:");
    return;
  }

  /* Read in each array. */
  pa = matGetNextVariable(pmat, &name); // I need to find a way to change it to getvariable
  while (pa != NULL)
  {

    mxArray *arr = matGetVariable(pmat, name);
    if (arr != NULL && mxIsDouble(arr) && !mxIsEmpty(arr)) {
      // copy data
      mwSize num = mxGetNumberOfElements(arr);
      double *pr = mxGetPr(arr);
      if (pr != NULL) {
        v.resize(num);
        v.assign(pr, pr + num);
      }
    }
  
    /* 
    This is where im going  to store the name of the Mxarrays and their elements.
    */
    //get next variable
    pa = matGetNextVariable(pmat, &name);

    //destroy allocated matrix
    mxDestroyArray(pa);
  }
      keep_window_open();
  matClose(pmat);
}