On my system, sizeof(vector) is 24. This probably corresponds to 3 8-byte members: capacity, size, and pointer. Additionally, you need to consider the actual allocations which would be between 1 and 16 bytes (plus allocation overhead) for the inner vector and between 24 and 384 bytes for the outer vector ( sizeof(vector) * partitions.capacity() ).
A wrote a program to sum this up...
for ( int Y=1; Y<=16; Y++ )
{
const int X = 16/Y;
if ( X*Y != 16 ) continue; // ignore imperfect geometries
Partition a;
a.partitions = vector< vector<char> >( Y, vector<char>(X) );
int sum = sizeof(a); // main structure
sum += sizeof(vector<char>) * a.partitions.capacity(); // outer vector
for ( int i=0; i<(int)a.partitions.size(); i++ )
sum += sizeof(char) * a.partitions[i].capacity(); // inner vector
cerr <<"X="<<X<<", Y="<<Y<<", size = "<<sum<<"\n";
}
The results show how much memory (not including allocation overhead) is need for each simple geometry...
X=16, Y=1, size = 80
X=8, Y=2, size = 104
X=4, Y=4, size = 152
X=2, Y=8, size = 248
X=1, Y=16, size = 440
Look at the how the "sum" is calculated to see what all of the components are.
The results posted are based on my 64-bit architecture. If you have a 32-bit architecture the sizes would be almost half as much -- but still a lot more than what you had expected.
In conclusion, std::vector<> is not very space efficient for doing a whole bunch of very small allocations. If your application is required to be efficient, then you should use a different container.
My approach to solving this would probably be to allocate the 16 chars with
std::tr1::array<char,16>
and wrap that with a custom class that maps 2D coordinates onto the array allocation.
Below is a very crude way of doing this, just as an example to get you started. You would have to change this to meet your specific needs -- especially the ability to specify the geometry dynamically.
template< typename T, int YSIZE, int XSIZE >
class array_2D
{
std::tr1::array<char,YSIZE*XSIZE> data;
public:
T & operator () ( int y, int x ) { return data[y*XSIZE+x]; } // preferred accessor (avoid pointers)
T * operator [] ( int index ) { return &data[index*XSIZE]; } // alternative accessor (mimics boost::multi_array syntax)
};