How to extract a 2x2 submatrix from a bigger matrix

Question

I am a very basic user and do not know much about commands used in C, so please bear with me...I cant use very complicated codes. I have some knowledge in the stdio.h and ct

Answer 1

The trick is to make the compiler treat your specific array element as the starting point of your matrix; the following code snippet does that:

(int(*)[SIZE_OF_2ND_DIM])(&a[4][3])

The following program captures the intended purpose:

#include <stdio.h>

int num;

void print( int a[][num], int row, int col )
{
  int i, j;
  for(i = 0; i < row; i++)
  {
    for(j = 0; j < col; j++)
      printf("%3d ", a[i][j]);
    printf("\n");
  }
}


int main()
{
  int a[10][10];
  int i, j;

  for(i = 0; i < 10; i++)
    for(j = 0; j < 10; j++)
      a[i][j] = i*10+j;

  num = 10;
  print(a, 10, 10);

  printf("\n\n");

  print((int(*)[num])(&a[4][3]), 5, 4);

  return 0;
}

Here is the corresponding output:

  0   1   2   3   4   5   6   7   8   9
 10  11  12  13  14  15  16  17  18  19
 20  21  22  23  24  25  26  27  28  29
 30  31  32  33  34  35  36  37  38  39
 40  41  42  43  44  45  46  47  48  49
 50  51  52  53  54  55  56  57  58  59
 60  61  62  63  64  65  66  67  68  69
 70  71  72  73  74  75  76  77  78  79
 80  81  82  83  84  85  86  87  88  89
 90  91  92  93  94  95  96  97  98  99


 43  44  45  46
 53  54  55  56
 63  64  65  66
 73  74  75  76
 83  84  85  86

Answer 2

OK, so you want to read a submatrix of size n x m, starting at positions x, y in the big matrix of size p x q. You need two things:

1. (verify that x + n <= p and y + m <= q)
2. skip to the first element of the matrix you want to read. This requires first skipping the first y - 1 rows
3. skip x - 1 elements from the next row, then read n elements into your submatrix. Repeat m times.

Your current implementation starts reading from the very first element of the matrix, then reads elements contiguously into the submatrix. An updated version:

FILE *sample = fopen("randomfile.txt", "r");
// skip the first y-1 rows
for (i = 0; i < y - 1; i++) {
  fscanf(sample, "%*[^\n]\n", &matrix[i][j]);
}
for (i = 0; i < m; i++) {
  // skip the first x-1 numbers
  for (j = 0; j < x - 1; j++) {
     fscanf(sample, "%*f");
  }
  // read n numbers
  for (j = 0; j < n; j++) {
     fscanf(sample, "%f", &matrix[i][j]);
  }
  if (x + n < p) {
    // consume the rest of the line
    fscanf(sample, "%*[^\n]\n");
  }
}
fclose(sample);

Update: to read the submatrix from an array instead is even simpler, just requires a bit more calculation. The gist is, a matrix of size p x q can be stored in a contiguous array of size p x q such that matrix[i,j] can be read from array[i*(j-1)+j] (approximately - there may be off-by-one errors and I am never sure which is the column and which is the row, but hopefully you get the idea :-)

So the code would be something like

for (i = 0; i < m; i++) {
  for (j = 0; j < n; j++) {
     submatrix[i][j] = array[(y + i) * p + x + j];
  }
}

Answer 3

Let's take this in stages. First a couple of minor fixes to your code:

for(i=0;i<rows;i++){
  for(j=0;j<cols;j++){
    float dummy;  /* this will make thing easier later */
    fscanf(sample,"%f",&dummy);
    matrix[i][j] = dummy;
  }
/* fscanf(sample,"\n",&matrix[i][j]); this isn't even legal */
}

Now we define what we want:

int startrow = 2; /* The starting index. Remember we index 0,1,2,3 */
int startcol = 2;
int resultrows = 2; /* How many rows we want in our answer */
int resultcols = 2;
float result[resultrows][resultcols];

Now we ignore what we don't want:

for(i=0;i<rows;i++){
  for(j=0;j<cols;j++){
    float dummy;
    fscanf(sample,"%f",&dummy);
    if(i >= startrow && i < startrow + resultrows &&
       j >= startcol && j < startcol + resultcols){
      matrix[i][j] = dummy;
    }
  }
}

Notice that now only the values we want are copied into matrix, the rest of matrix is uninitialized gibberish. Now write it into result instead:

for(i=0;i<rows;i++){
  for(j=0;j<cols;j++){
    float dummy;
    fscanf(sample,"%f",&dummy);
    if(i >= startrow && i < startrow + resultrows &&
       j >= startcol && j < startcol + resultcols){
      result[i-startrow][j-startcol] = dummy;
    }
  }
}

EDIT:
If you want to copy a submatrix from a larger matrix already in memory, the inner loop should be

for(j=0;j<cols;j++){
  if(i >= startrow && i < startrow + resultrows &&
     j >= startcol && j < startcol + resultcols){
      result[i-startrow][j-startcol] = matrix[i][j];
  }
}