Problems using 3-dimensional vector - c++

Question

How can I work with a 3 dimensional vector in C++?
vector<vector<vector<int> > > vec (1,vector<vector<int> >(1,vector <int>(1,12)));
When I try something like this
cout << vec[0][0][0]; vec[0][0][1] = 13;
everything works just fine.
The problem is that I can only change the last elements. If I try accessing the first and second element, like this
vec[0][1][0] = 13;
or this
vec.push_back(vector<vector<int > >());
vec[0].push_back(vector<int>());
v[1][0].push_back(13);
my program crashes.
How can I add and access elements in a 3d vector?

Answer 1

I would never do vector<vector<vector<int> > > as in this way you have many allocations what could be expensive. I would simply use vector<int> with smart indexing (e.g.: see below). If you will work with double based matrices, in this way intel MKL or any other BLAS library easily could be used.
Its price is increased complexity when matrix sizes are changed, but you could win many in performance.
Useful link: C++ FAQ.
static int const M = 16;
static int const N = 16;
static int const P = 16;
inline int& set_elem(vector<int>& m_, size_t i_, size_t j_, size_t k_)
{
// you could check indexes here e.g.: assert in debug mode
return m_[i_*N*P + j_*P + k_];
}
inline const int& get_elem(const vector<int>& m_, size_t i_, size_t j_, size_t k_)
{
// you could check indexes here e.g.: assert in debug mode
return m_[i_*N*P + j_*P + k_];
}
vector<int> matrix(M*N*P, 0);
set_elem(matrix, 0, 0, 1) = 5;

Answer 2

vector<vector<vector<int> > > vec (1,vector<vector<int> >(1,vector <int>(1,12)));
cout << vec[0][0][0]; vec[0][0][1] = 13;
evething is OK.
You are mistaken. Everything is not OK. The vector vec[0][0] has only one element and thus vec[0][0][1] is out of bounds and therefore the assignment has undefined behaviour. You have the same problem with vec[0][1][0] = 13; and v[1][0].push_back(13)
You can fix that by accessing only indices that exist in your vectors. If you want more than one element, then either construct the vectors with more elements initially, or push them after construction.
At the begining I have 1x1x1 vector. So how can I push elements. using push_back() ? For example I have 1x1x1 and I want to add v[1][1][0] = 2 ?
If you for some reason want to start with 1x1x1 vector of vectors of vectors of ints and want to access v[1][1][0], here is example code to add the v[1][1][0] element with minimal changes to the original vector:
// vector of ints that contains one element, 2
// this will vector eventually be the v[1][1] and the integer element will be v[1][1][0]
// since we initialize the integer as 2, there's no need to assign it later though
vector<int> vi(1, 2);
// vector of vectors that contains one default constructed vector
// vvi will eventually be the v[1] element and the default constructed vector will be v[1][0]
vector<vector<int>> vvi(1);
// push vi into vvi, making it vvi[1] and eventually v[1][1]
vvi.push_back(vi);
// push vvi into v, making it v[1]
v.push_back(vvi);

Answer 3

What you have,
vector<vector<vector<int> > > vec (1,vector<vector<int> >(1,vector <int>(1,12)));
creates 1 x 1 x 1 matrix with the value of the only element set to 12.
To create something that is analogous to a M x N x P matrix, you need to use:
vector<vector<vector<int> > > vec (M,vector<vector<int> >(N,vector <int>(P,x)));
That will create an M x N x P matrix with the value of each element set to x.