Pointer to one row in dynamically allocated 2D array in C++ - c++

I have a dynamically allocated 2D array Volatility[r][c] with r rows and c columns in C++. Is it somehow possible to create a pointer ptrColumn to a certain column c1, such that I can access the element (r1,c1) with ptrColumn[r1]?
So far, I tried to create dynamic pointers. But I didn't manage to do it.
Thank you!

You need a stride iterator. The ++ operator for a normal pointer returns a new pointer with an offset 1; for a stride iterator, the ++ operator will return a new stride iterator with a physical offset c; And so for operator [], + and --; Here is a simple example:
template< typename Iterator_Type >
struct stride_iterator
{
typedef typename std::iterator_traits<Iterator_Type>::value_type value_type;
typedef typename std::iterator_traits<Iterator_Type>::reference reference;
typedef typename std::iterator_traits<Iterator_Type>::difference_type difference_type;
typedef typename std::iterator_traits<Iterator_Type>::pointer pointer;
typedef typename std::iterator_traits<Iterator_Type>::iterator_category iterator_category;
Iterator_Type iterator_;
difference_type step_;
stride_iterator( Iterator_Type it, difference_type dt ) : iterator_(it), step_(dt) {}
reference operator []( difference_type dt )
{ return iterator_[dt*step_]; }
//other ctors, dtor and operators
};
This case, suppose the pointer holding the 2D array is double** dat, and the dimension for the array is r by c, you can create a column iterator at column index c1 with
auto col_itor = stride_iterator<double*>{ dat + c1, c };
and access the element at dat[r1][c1] with operator []
auto& elem = col_itor[r1];

No, that's not possible. One alternative you have is to create another 2D array with a traspose of the original array but is just useless because you'd have to update this array every time original array changes. Perhaps there is other ways to do it but an array of columns just don't.

Usually the first dimention is for row index, and the second for column.
First you should allocate memory for array of pointers (e.g. int *) and save addres as pointer to pointers:
int** Volatility = new int * [r];
Then arrange loop to allocate memory for each row. E.g.:
for(int i = 0; i < r; i++)
Volatility[i] = new int [c];
But it is your desition how to work with indexes.
If you want to work with columns on first index, just change the logic:
int r = 5, c = 10;
int** Volatility = new int * [c];
// allocate memory for each column
for(int i = 0; i < c; i++)
{
Volatility[i] = new int [r];
}
As you see Volatility[col][row] is a single element, and Volatility[col] is a pointer to columt. But now you cannot work with pointer to row.

The easiest way, for me, is to reserve the block of memory:
double* array2d= new double[r*c];
then, you can calculate the pointers as array2d+index*r (remember, the block of memory stores the array column by column, from the first to the last column).
IF you want to calculate the pointers to rows, use array2d+index*r (in this case, the memory stores the array row after row.
If you want the pointers in some place to use double operator [][], you could use:
double **array= new double*[r];
for (int i=1; i<r; ++i)
array[i]= array[i-1]+c;
For this code, you could use array[i][j] in your code.

Related

How to dynamically allocate a contiguous 2D array in C++?

I need a 2d character array for use in a trash API that absolutely requires use of arrays and NOT vectors (much emphasis on this because all of my searching just had answers "use a vector". I wish I could).
I figured the way to do it would be to allocate an external array of size rows * character length, instead of doing:
char** arr;
arr = new char*[100];
// for loop that allocates the internal arrays
But I'm not sure what method I would need to use to make it contiguous? Do I need to allocate a massive 1D array first, then assign the 1D array to the 2D array in chunks?
As other answers have said: allocate n * m entries to create the contiguous data, and then it can be wrapped in pointers to create a 2d array.
... absolutely requires use of arrays and NOT vectors ...
I'm not sure if vector is a constraint based on the API being used, or requirements -- but it's worth noting that vector can be used for the memory management of the implementation -- while still using the raw data (which can be accessed by &vec[0] or vec.data(), which returns a pointer to the first element of the array, and can be used with functions accepting raw pointers).
Since this question is about c++, one option is to wrap an array of n * m in a class that acts like a 2-d array while actually being contiguous.
A simple example could be:
class array_2d
{
public:
array_2d( std::size_t rows, std::size_t columns )
: m_rows(rows), m_cols(columns), m_array( new char[rows * columns] )
{
}
~array_2d()
{
delete [] m_array;
}
// row-major vs column-major is up to your implementation
T& operator()( std::ptrdiff_t row, std::ptrdiff_t col )
{
// optional: do bounds checking, throw std::out_of_range first
return m_array[row * m_cols + col];
// alternatively:
// return m_array[col * m_rows + row];
}
// get pointer to the array (for raw calls)
char* data()
{
return m_array;
}
private:
char* m_array;
std::size_t m_rows;
std::size_t m_cols;
};
(Ideally char* would be std::unique_ptr<char[]> or std::vector<char> to avoid memory-leak conditions, but since you said vector is not viable, I'm writing this minimally)
This example overloads the call operator (operator()) -- but this could also be a named function like at(...); the choice would be up to you. The use of such type would then be:
auto array = array_2d(5,5); // create 5x5 array
auto& i01 = array(0,1); // access row 0, column 1
Optionally, if the [][] syntax is important to behave like a 2d-array (rather than the (r,c) syntax), you can return a proxy type from a call to an overloaded operator [] (untested):
class array_2d_proxy
{
public:
array_2d_proxy( char* p ) : m_entry(p){}
char& operator[]( std::ptrdiff_t col ){ return m_entry[col]; }
private:
char* m_entry;
};
class array_2d
{
...
array_2d_proxy operator[]( std::ptrdiff_t row )
{
return array_2d_proxy( m_array + (row * m_cols) );
}
...
};
This would allow you to have the 'normal' 2d-array syntax, while still being contiguous:
auto& i00 = array[0][0];
This is a good way to do it:
void array2d(int m, int n) {
std::vector<char> bytes(m * n);
std::vector<char*> arrays;
for (int i = 0; i != m * n; i += n) {
arrays.push_back(bytes.data() + i);
}
char** array2d = arrays.data();
// whatever
}
The main problem in C++ with "continuous 2d arrays with variable column length" is that an access like myArray[r][c] requires the compiler to know the column size of the type of myArray at compile time (unlike C, C++ does not support variable length arrays (VLAs)).
To overcome this, you could allocate a continuous block of characters, and additionally create an array of pointers, where each pointer points to the begin of a row. With such a "view", you can then address the continuous block of memory indirectly with a myArray[r][c]-notation:
int main() {
// variable nr of rows/columns:
int rows = 2;
int columns = 5;
// allocate continuous block of memory
char *contingousMemoryBlock = new char[rows*columns];
// for demonstration purpose, fill in some content
for (int i=0; i<rows*columns; i++) {
contingousMemoryBlock[i] = '0' + i;
}
// make an array of pointers as a 2d-"view" of the memory block:
char **arr2d= new char*[rows];
for (int r=0; r<rows;r++) {
arr2d[r] = contingousMemoryBlock + r*columns;
}
// access the continuous memory block as a 2d-array:
for (int r=0; r<rows; r++) {
for (int c=0; c<columns; c++) {
cout << arr2d[r][c];
}
cout << endl;
}
}

Is new int[][] a valid thing to do in C++?

I have come across some code which allocates a 2d array with following approach:
auto a = new int[10][10];
Is this a valid thing to do in C++? I have search through several C++ reference books, none of them has mentioned such approach.
Normally I would have done the allocation manually as follow:
int **a = new int *[10];
for (int i = 0; i < 10; i++) {
a[i] = new int[10];
}
If the first approach is valid, then which one is preferred?
The first example:
auto a = new int[10][10];
That allocates a multidimensional array or array of arrays as a contiguous block of memory.
The second example:
int** a = new int*[10];
for (int i = 0; i < 10; i++) {
a[i] = new int[10];
}
That is not a true multidimensional array. It is, in fact, an array of pointers and requires two indirections to access each element.
The expression new int[10][10] means to allocate an array of ten elements of type int[10], so yes, it is a valid thing to do.
The type of the pointer returned by new is int(*)[10]; one could declare a variable of such a type via int (*ptr)[10];.
For the sake of legibility, one probably shouldn't use that syntax, and should prefer to use auto as in your example, or use a typedef to simplify as in
using int10 = int[10]; // typedef int int10[10];
int10 *ptr;
In this case, for small arrays, it is more efficient to allocate them on the stack. Perhaps even using a convenience wrapper such as std::array<std::array<int, 10>, 10>. However, in general, it is valid to do something like the following:
auto arr = new int[a][b];
Where a is a std::size_t and b is a constexpr std::size_t. This results in more efficient allocation as there should only be one call to operator new[] with sizeof(int) * a * b as the argument, instead of the a calls to operator new[] with sizeof(int) * b as the argument. As stated by Galik in his answer, there is also the potential for faster access times, due to increased cache coherency (the entire array is contiguous in memory).
However, the only reason I can imagine one using something like this would be with a compile-time-sized matrix/tensor, where all of the dimensions are known at compile time, but it allocates on the heap if it exceeds the stack size.
In general, it is probably best to write your own RAII wrapper class like follows (you would also need to add various accessors for height/width, along with implementing a copy/move constructor and assignment, but the general idea is here:
template <typename T>
class Matrix {
public:
Matrix( std::size_t height, std::size_t width ) : m_height( height ), m_width( width )
{
m_data = new T[height * width]();
}
~Matrix() { delete m_data; m_data = nullptr; }
public:
T& operator()( std::size_t x, std::size_t y )
{
// Add bounds-checking here depending on your use-case
// by throwing a std::out_of_range if x/y are outside
// of the valid domain.
return m_data[x + y * m_width];
}
const T& operator()( std::size_t x, std::size_t y ) const
{
return m_data[x + y * m_width];
}
private:
std::size_t m_height;
std::size_t m_width;
T* m_data;
};

How to solve the error "expression must be a modifiable lvalue" in c++?

const int ADJ_MATRIX[VERTEX_NUM][VERTEX_NUM]={
{0,1,1,0,0,0,0,0},
{1,0,0,1,1,0,0,0},
{1,0,0,0,0,1,1,0},
{0,1,0,0,0,0,0,1},
{0,1,0,0,0,0,0,1},
{0,0,1,0,0,0,1,0},
{0,0,1,0,0,1,0,0},
{0,0,0,1,1,0,0,0}
};
typedef struct {
int vertex;
int matrix[VERTEX_NUM][VERTEX_NUM];
int vNum;
int eNum;
}Graph;
void buildGraph(Graph *graph){
graph->vNum = VERTEX_NUM;
graph->eNum = EDGE_NUM;
graph->matrix = ADJ_MATRIX;
}
The error occurs in this sentence:
graph->matrix = ADJ_MATRIX;
I am new to c++. please tell me why this problem occur and how to solve it?
I want to assign ADJ_MATRIX to the matrix in struct.
As was said, you can't assign arrays in C++. This is due to the compiler being a meanie, because the compiler can. It just won't let you do it...
... unless you trick it ;)
template <typename T, int N>
struct square_matrix {
T data[N][N];
};
square_matrix<int, 10> a;
square_matrix<int, 10> b;
a = b; // fine, and actually assigns the .data arrays
a.data = b.data; // not allowed, compiler won't let you assign arrays
The catch? Now the code needs some little things:
const square_matrix<int, VERTEX_NUM> ADJ_MATRIX={{
// blah blah
}}; // extra set of braces
typedef struct {
int vertex;
square_matrix<int, VERTEX_NUM> matrix;
int vNum;
int eNum;
}Graph;
void buildGraph(Graph *graph){
graph->vNum = VERTEX_NUM;
graph->eNum = EDGE_NUM;
graph->matrix = ADJ_MATRIX; // no change
}
And to access the cells, now we need to use graph->matrix.data[1][2]. This can be mitigated by overloading operator[] or operator() for square_matrix. However, this is now getting terribly close to the new std::array class, or the Boost equivalent boost::array, so it might be wise to consider those instead.
Unfortunately (or maybe fortunately, who knows...) you can't just assign one array to another in C++.
If you want to copy an array, you will need to either copy each of it's elements into a new array one by one, or use the memcpy() function:
for( int i = 0; i < VERTEX_NUM; i++ )
for( int j = 0; j < VERTEX_NUM; j++ )
graph->matrix[i][j] = ADJ_MATRIX[i][j];
or
memcpy( graph->matrix, ADJ_MATRIX, VERTEX_NUM * VERTEX_NUM * sizeof(int) );
Arrays are not assignable. You can use memcpy:
memcpy(graph->matrix, ADJ_MATRIX, sizeof(graph->matrix));
You cannot assign an array to another array. You will need to copy the elements from the source to the destination index by index, or use memcpy to copy the data. Array assignment like this is not allowed
You are trying to assign your variable address of a constant data,
try using
memcpy(graph->matrix,ADJ_MATRIX,sizeof(ADJ_MATRIX));//using sizeof(graph->matrix) is safer.
You can't use an array in assignments. You may use cycles or memcpy instead
memcpy(graph->matrix, ADJ_MATRIX, VERTEX_NUM * VERTEX_NUM * sizeof(int));
or
for(int i = 0; i < VERTEX_NUM; ++i){
for(int j = 0; j < VERTEX_NUM; ++j){
graph->matrix[i][j] = ADJ_MATRIX[i][j];
}
}
The error is thrown, because int matrix[VERTEX_NUM][VERTEX_NUM] in a structure definition means that each structure will have a 2D array of integers of the predefined size and matrix is going to be pointing to its first element. The thing is that matrix cannot be assigned to an arbitrary address, because it's a const pointer i.e. its value (the address it's pointing to) cannot change.
You have 2 options here: you can either use memcpy or some stl algorithms to copy the ADJ_MATRIX into matrix directly or you can declare matrix as a pointer and do the assignment that is currently produces an error.
The latter can be done in the following way:
typedef struct {
int vertex;
const int (*matrix)[VERTEX_NUM];
int vNum;
int eNum;
}Graph;
Thus you can do graph->matrix = ADJ_MATRIX assignment, but you won't be able to modify the individual items in matrix due to constness. This means, graph->matrix[0][1] = 3; is not allowed, while you can read the elements freely.

How to create a pointer in C++ that points to a multidumentional array of int?

I know how to create a multidumentional array statndard way:
const int m = 12;
const int y = 3;
int sales[y][n];
And I know how to create a pointer that points to one dimentional array:
int * ms = new int[m];
But is it possible to create a pointer that points to multidumentional array?
int * sales = new int[y][m]; // doesn't work
int * mSales = new int[m]; // ok
int * ySales = new int[y]; // ok
mSales * ySales = new mSales[y]; // doesn't work, mSales is not a type
How to create such a pointer?
The expression new int[m][n] creates an array[m] of array[n] of int.
Since it's an array new, the return type is converted to a pointer to
the first element: pointer to array[n] of int. Which is what you have
to use:
int (*sales)[n] = new int[m][n];
Of course, you really shouldn't use array new at all. The
_best_solution here is to write a simple Matrix class, using
std::vector for the memory. Depending on your feelings on the matter,
you can either overload operator()( int i, int j ) and use (i, j)
for indexing, or you can overload operator[]( int i ) to return a
helper which defines operator[] to do the second indexation. (Hint:
operator[] is defined on int*; if you don't want to bother with
bounds checking, etc., int* will do the job as the proxy.)
Alternatively, something like:
std::vector<std::vector<int> > sales( m, n );
will do the job, but in the long term, the Matrix class will be worth
it.
Sure, it's possible.
You'll be creating a pointer to a pointer to an int, and the syntax is just like it sounds:
int** ptr = sales;
You've probably seen more examples of this than you think as when people pass arrays of strings (like you do in argv in main()), you always are passing an array of an array of characters.
Of course we'd all prefer using std::string when possible :)
I remember it was something like this:
int** array = new int*[m];
for(int i=0; i<m; i++) {
array[i] = new int[n];
}

C++: joining array together - is it possible with pointers WITHOUT copying?

as in the title is it possible to join a number of arrays together without copying and only using pointers? I'm spending a significant amount of computation time copying smaller arrays into larger ones.
note I can't used vectors since umfpack (some matrix solving library) does not allow me to or i don't know how.
As an example:
int n = 5;
// dynamically allocate array with use of pointer
int *a = new int[n];
// define array pointed by *a as [1 2 3 4 5]
for(int i=0;i<n;i++) {
a[i]=i+1;
}
// pointer to array of pointers ??? --> this does not work
int *large_a = new int[4];
for(int i=0;i<4;i++) {
large_a[i] = a;
}
Note: There is already a simple solution I know and that is just to iteratively copy them to a new large array, but would be nice to know if there is no need to copy repeated blocks that are stored throughout the duration of the program. I'm in a learning curve atm.
thanks for reading everyone
as in the title is it possible to join a number of arrays together without copying and only using pointers?
In short, no.
A pointer is simply an address into memory - like a street address. You can't move two houses next to each other, just by copying their addresses around. Nor can you move two houses together by changing their addresses. Changing the address doesn't move the house, it points to a new house.
note I can't used vectors since umfpack (some matrix solving library) does not allow me to or i don't know how.
In most cases, you can pass the address of the first element of a std::vector when an array is expected.
std::vector a = {0, 1, 2}; // C++0x initialization
void c_fn_call(int*);
c_fn_call(&a[0]);
This works because vector guarantees that the storage for its contents is always contiguous.
However, when you insert or erase an element from a vector, it invalidates pointers and iterators that came from it. Any pointers you might have gotten from taking an element's address no longer point to the vector, if the storage that it has allocated must change size.
No. The memory of two arrays are not necessarily contiguous so there is no way to join them without copying. And array elements must be in contiguous memory...or pointer access would not be possible.
I'd probably use memcpy/memmove, which is still going to be copying the memory around, but at least it's been optimized and tested by your compiler vendor.
Of course, the "real" C++ way of doing it would be to use standard containers and iterators. If you've got memory scattered all over the place like this, it sounds like a better idea to me to use a linked list, unless you are going to do a lot of random access operations.
Also, keep in mind that if you use pointers and dynamically allocated arrays instead of standard containers, it's a lot easier to cause memory leaks and other problems. I know sometimes you don't have a choice, but just saying.
If you want to join arrays without copying the elements and at the same time you want to access the elements using subscript operator i.e [], then that isn't possible without writing a class which encapsulates all such functionalities.
I wrote the following class with minimal consideration, but it demonstrates the basic idea, which you can further edit if you want it to have functionalities which it's not currently having. There should be few error also, which I didn't write, just to make it look shorter, but I believe you will understand the code, and handle error cases accordingly.
template<typename T>
class joinable_array
{
std::vector<T*> m_data;
std::vector<size_t> m_size;
size_t m_allsize;
public:
joinable_array() : m_allsize() { }
joinable_array(T *a, size_t len) : m_allsize() { join(a,len);}
void join(T *a, size_t len)
{
m_data.push_back(a);
m_size.push_back(len);
m_allsize += len;
}
T & operator[](size_t i)
{
index ix = get_index(i);
return m_data[ix.v][ix.i];
}
const T & operator[](size_t i) const
{
index ix = get_index(i);
return m_data[ix.v][ix.i];
}
size_t size() const { return m_allsize; }
private:
struct index
{
size_t v;
size_t i;
};
index get_index(size_t i) const
{
index ix = { 0, i};
for(auto it = m_size.begin(); it != m_size.end(); it++)
{
if ( ix.i >= *it ) { ix.i -= *it; ix.v++; }
else break;
}
return ix;
}
};
And here is one test code:
#define alen(a) sizeof(a)/sizeof(*a)
int main() {
int a[] = {1,2,3,4,5,6};
int b[] = {11,12,13,14,15,16,17,18};
joinable_array<int> arr(a,alen(a));
arr.join(b, alen(b));
arr.join(a, alen(a)); //join it again!
for(size_t i = 0 ; i < arr.size() ; i++ )
std::cout << arr[i] << " ";
}
Output:
1 2 3 4 5 6 11 12 13 14 15 16 17 18 1 2 3 4 5 6
Online demo : http://ideone.com/VRSJI
Here's how to do it properly:
template<class T, class K1, class K2>
class JoinArray {
JoinArray(K1 &k1, K2 &k2) : k1(k1), k2(k2) { }
T operator[](int i) const { int s = k1.size(); if (i < s) return k1.operator[](i); else return k2.operator[](i-s); }
int size() const { return k1.size() + k2.size(); }
private:
K1 &k1;
K2 &k2;
};
template<class T, class K1, class K2>
JoinArray<T,K1,K2> join(K1 &k1, K2 &k2) { return JoinArray<T,K1,K2>(k1,k2); }
template<class T>
class NativeArray
{
NativeArray(T *ptr, int size) : ptr(ptr), size(size) { }
T operator[](int i) const { return ptr[i]; }
int size() const { return size; }
private:
T *ptr;
int size;
};
int main() {
int array[2] = { 0,1 };
int array2[2] = { 2,3 };
NativeArray<int> na(array, 2);
NativeArray<int> na2(array2, 2);
auto joinarray = join(na,na2);
}
A variable that is a pointer to a pointer must be declared as such.
This is done by placing an additional asterik in front of its name.
Hence, int **large_a = new int*[4]; Your large_a goes and find a pointer, while you've defined it as a pointer to an int. It should be defined (declared) as a pointer to a pointer variable. Just as int **large_a; could be enough.