Dynamically allocated 2 dimensional array - c

I am trying to build two dimensional array by dynamically allocating. My question is that is it possible that its first dimension would take 100 values, then second dimension would take variable amount of values depending on my problem? If it is possible then how I would access it? How would I know the second dimension's boundary?

(See the comments in the code)
As a result you'll get an array such like the following:
// Create an array that will contain required variables of the required values
// which will help you to make each row of it's own lenght.
arrOfLengthOfRows[NUMBER_OF_ROWS] = {value_1, value_2, ..., value_theLast};
int **array;
array = malloc(N * sizeof(int *)); // `N` is the number of rows, as on the pic.
/*
if(array == NULL) {
printf("There is not enough memory.\n");
exit (EXIT_FAILURE);
}
*/
// Here we make each row of it's own, individual length.
for(i = 0; i < N; i++) {
array[i] = malloc(arrOfLengthOfRows[i] * sizeof(int));
/*
if(array[i] == NULL) {
printf("There is not enough memory.\n");
exit (EXIT_FAILURE);
}
*/
}

You can use array of 100 pointers:
int *arr[100];
then you can dynamically allocate memory to each of the 100 pointers separately of any size you want, however you have to remember how much memory (for each pointer) you have allocated, you cannot expect C compiler to remember it or tell it to you, i.e. sizeof will not work here.
To access any (allowed, within boundary) location you can simply use 2D array notation e.g. to access 5th location of memory allocated to 20th pointer you can use arr[20][5] or *(arr[20] + 5).

I believe the OP wants a single chunk of memory for the array, and is willing to fix one of the dimensions to get it. I frequently like to do this when coding in C as well.
We all used to be able to do double x[4][]; and the compiler would know what to do. But someone has apparently messed that up - maybe even for a good reason.
The following however still works and allows us to use large chunks of memory instead of having to do a lot of pointer management.
#include <stdio.h>
#include <stdlib.h>
// double x[4][];
struct foo {
double y[4];
} * x;
void
main(int ac, char * av[])
{
double * dp;
int max_x = 10;
int i;
x = calloc(max_x, sizeof(struct foo));
x[0].y[0] = 0.23;
x[0].y[1] = 0.45;
x[9].y[0] = 1.23;
x[9].y[1] = 1.45;
dp = x[9].y;
for (i = 0; i < 4; i++)
if (dp[i] > 0)
printf("%f\n", dp[i]);
}
The trick is to declare the fixed dimension in a struct. But keep in mind that the "first" dimension is the dynamic dimension and the "second" one is fixed. And this is the opposite of the old way ...
You will have to track the size of your dynamic dimension on your own - sizeof can't help you with that.
Using anonymous thingies you might even be able to git rid of 'y'.

Using a single pointer:
int *arr = (int *)malloc(r * c * sizeof(int));
/* how to access array elements */
for (i = 0; i < r; i++)
for (j = 0; j < c; j++)
*(arr + i*c + j) = ++count; //count initialized as, int count=0;
Using pointer to a pointer:
int **arr = (int **)malloc(r * sizeof(int *));
for (i=0; i<r; i++)
arr[i] = (int *)malloc(c * sizeof(int));
In this case you can access array elements same as you access statically allocated array.

Related

Reallocating memory for a two dimensional array in C

My goal is to dynamically reallocate memory for a two dimensional int array in C. I know there are already several questions about that topic, but unfortunately my code does not run properly and i don't know what is going wrong.
First i am allocating memory:
int n = 10;
int m = 4;
int** twoDimArray;
twoDimArray = (int**)malloc(n * sizeof(int*));
for(int i = 0; i < n; i++) {
twoDimArray[i] = (int*)malloc(m * sizeof(int));
}
And initializing the array with integer numbers:
for(int i = 0; i < n; i++) {
for(j = 0; j < 4; j++) {
twoDimArray[i][j] = i * j;
}
}
Then i use realloc() to reallocate memory dynamically:
int plus = 10;
int newArraySize = n + plus;
twoDimArray = (int**)realloc(twoDimArray, newArraySize * sizeof(int));
I am expecting my aray twoDimArray to be accessible at [10][0] now, but when running
printf("twoDimArray[10][0] = %d\n", twoDimArray[10][0]);
i get an "EXC_BAD_ACCESS" runtime error.
Probably i am missing something rather simple, but since i am new to C and can't figure out my mistake. Any help is appreciated.
reallocating the array of pointers is necessary, but then you have only n values that point to something valid. You need to allocate the rest of the sub-arrays because the newly allocated memory points to unallocated/invalid areas. The error is not from accessing the pointer, but from dereferencing it.
You need to add something like:
for(int i = n; i < n+plus; i++) {
twoDimArray[i] = malloc(m * sizeof(int));
}
(same goes for deallocation: first deallocate the arrays in a loop, then deallocate the array of pointers)
Aside:
assigning the result of realloc directly to the original variable can be a problem if realloc returns NULL. Even if it's rare in those resizing cases (Under what circumstances can malloc return NULL?), you should copy the result in a temp variable, check for NULL, and free the old pointer if reallocation failed.
Do I cast the result of malloc?

Dynamic memory allocation repetition in C

I am somewhat new to C programming. I have a doubt regarding dynamic memory allocation. The following is a code in the main program for memory allocation.
double **mat=(double**)malloc(sizeof(double*)*n);
mat[0]=(double*)calloc(sizeof(double),n*n);
for(i=1; i<n; i++)
mat[i] = mat[i-1] + n;
mat = create_square_matrix(n);
I want to call the function and create elements in the matrix inside the function. Do I have once again allocation memory inside the function like below or Is there any other method to avoid this tedious memory allocation repetition. Following is the function.
`double** create_square_matrix(int n)
{
int i,j,sum=0;
double **array2=(double**)malloc(sizeof(double*)*n);
array2[0]=(double*)calloc(sizeof(double),n*n);
for(i=1; i<n; i++)
array2[i] = array2[i-1] + n;
for (i = 0; i < n; ++i)
{
for (j = 0; j < n; ++j)
{
sum=sum+j;
array2[i][j]=sum;
}
}
return array2;
}
`
The above function returns the array which is stored in the 'mat' variable. And another question is how do I free the memory of variable 'array2' inside the function after using the return method. I can't free the memory possibly before returning the array. Is there a method to free the memory in the above function.
Your function create_square_matrix allocates memory and then fills it by some values.
Your top piece of code allocates memory, and then calls create_square_matrix which again allocates memory. It is like to mop floors before calling the janitor who also mops floors. You don't need to allocate memory twice. Not only it is unneccessary, in fact it is bad. Since you perform two allocations, the memory from the first one is lost, and there is no way to free it. This is called memory leak. Instead of
double **mat=(double**)malloc(sizeof(double*)*n);
mat[0]=(double*)calloc(sizeof(double),n*n);
for(i=1; i<n; i++)
mat[i] = mat[i-1] + n;
mat = create_square_matrix(n);
you should write
double **mat = create_square_matrix(n);
As mentioned, in C there's no need to cast to/from void*. Also, your calloc is backwards: use N elements for the first argument, sizeof(element) for the second.
I will answer your question, and then suggest a better approach.
You are choosing double ** for your matrix. Even if it weren't square, you know exactly how many pointers and how many doubles you need, and of course how big each type is. So,
double **M = malloc( n * sizeof(double*) + n * m * sizeof(double) );
does the trick, does it not? If sizeof(double*) == sizeof(double) for your machine (probably true), then
double **M = calloc( (1+n) * m, sizeof(double) );
works, too, but less portably. You also get the zeros for free; you'll have trouble finding a machine for which it's not true that double f=0 yields a value for which all bits are zero.
But why define your matrix as an array of pointers? Why not instead define it as an array of doubles?
double *M = calloc( n * m, sizeof(double) );
Better yet, for the past 15 years or so, C has supported variable-length arrays, meaning you can define arrays whose size is determined at runtime. Back in K&R days, you could define an array M[n] unless n was a static constant or enum. If your arrays aren't ginormous -- meaning that for the machine in question they'll fit comfortably on the stack -- you can skip malloc and simply define your matrix by a size determined at runtime.
Even if you can't do that, can typedef one dimension dynamically,
typedef double (x_axis_t)[m];
double x_axis_t *M = calloc( n * sizeof(x_axis_t), sizeof(double) );
which is nice, because then you can access your array as
M[x][y];
Just don't try to use M[x,y], because that's something else altogether.
BTW, since you're new to the game, to use a c99 compiler, the standard command is c99, not cc. See your friendly manual for details. :-)
Using a nice function macro for memory allocation is always a good idea. Unless you have to free memory manually I would leave it to a garbage collector such as libgc. Below is an example. If you don't want to use a garbage collector you can just replace GC_MALLOC with malloc. When you free the array (manually) you must first free the individual rows.
#include <gc/gc.h>
#include <stdio.h>
#include <stdlib.h>
#define NEW_ARRAY(ptr, n) (ptr) = GC_MALLOC((n) * sizeof (ptr)[0])
double **SquareMatrix(int n)
{
double **A;
int i, j;
NEW_ARRAY(A, n);
for (i = 0; i < n; i++) {
NEW_ARRAY(A[i], n);
for (j = 0; j < n; j++) {
A[i][j] = 0.0;
}
}
return A;
}
int main(void)
{
const int n = 5;
double **A;
int i, j;
A = SquareMatrix(n);
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
printf("%5.2f ", A[i][j]);
}
putchar('\n');
}
return 0;
}

Dynamically creating a 2 dimensional array of pointers in c [duplicate]

Does someone know how I can use dynamically allocated multi-dimensional arrays using C? Is that possible?
Since C99, C has 2D arrays with dynamical bounds. If you want to avoid that such beast are allocated on the stack (which you should), you can allocate them easily in one go as the following
double (*A)[n] = malloc(sizeof(double[n][n]));
and that's it. You can then easily use it as you are used for 2D arrays with something like A[i][j]. And don't forget that one at the end
free(A);
Randy Meyers wrote series of articles explaining variable length arrays (VLAs).
With dynamic allocation, using malloc:
int** x;
x = malloc(dimension1_max * sizeof(*x));
for (int i = 0; i < dimension1_max; i++) {
x[i] = malloc(dimension2_max * sizeof(x[0]));
}
//Writing values
x[0..(dimension1_max-1)][0..(dimension2_max-1)] = Value;
[...]
for (int i = 0; i < dimension1_max; i++) {
free(x[i]);
}
free(x);
This allocates an 2D array of size dimension1_max * dimension2_max. So, for example, if you want a 640*480 array (f.e. pixels of an image), use dimension1_max = 640, dimension2_max = 480. You can then access the array using x[d1][d2] where d1 = 0..639, d2 = 0..479.
But a search on SO or Google also reveals other possibilities, for example in this SO question
Note that your array won't allocate a contiguous region of memory (640*480 bytes) in that case which could give problems with functions that assume this. So to get the array satisfy the condition, replace the malloc block above with this:
int** x;
int* temp;
x = malloc(dimension1_max * sizeof(*x));
temp = malloc(dimension1_max * dimension2_max * sizeof(x[0]));
for (int i = 0; i < dimension1_max; i++) {
x[i] = temp + (i * dimension2_max);
}
[...]
free(temp);
free(x);
Basics
Arrays in c are declared and accessed using the [] operator. So that
int ary1[5];
declares an array of 5 integers. Elements are numbered from zero so ary1[0] is the first element, and ary1[4] is the last element. Note1: There is no default initialization, so the memory occupied by the array may initially contain anything. Note2: ary1[5] accesses memory in an undefined state (which may not even be accessible to you), so don't do it!
Multi-dimensional arrays are implemented as an array of arrays (of arrays (of ... ) ). So
float ary2[3][5];
declares an array of 3 one-dimensional arrays of 5 floating point numbers each. Now ary2[0][0] is the first element of the first array, ary2[0][4] is the last element of the first array, and ary2[2][4] is the last element of the last array. The '89 standard requires this data to be contiguous (sec. A8.6.2 on page 216 of my K&R 2nd. ed.) but seems to be agnostic on padding.
Trying to go dynamic in more than one dimension
If you don't know the size of the array at compile time, you'll want to dynamically allocate the array. It is tempting to try
double *buf3;
buf3 = malloc(3*5*sizeof(double));
/* error checking goes here */
which should work if the compiler does not pad the allocation (stick extra space between the one-dimensional arrays). It might be safer to go with:
double *buf4;
buf4 = malloc(sizeof(double[3][5]));
/* error checking */
but either way the trick comes at dereferencing time. You can't write buf[i][j] because buf has the wrong type. Nor can you use
double **hdl4 = (double**)buf;
hdl4[2][3] = 0; /* Wrong! */
because the compiler expects hdl4 to be the address of an address of a double. Nor can you use double incomplete_ary4[][]; because this is an error;
So what can you do?
Do the row and column arithmetic yourself
Allocate and do the work in a function
Use an array of pointers (the mechanism qrdl is talking about)
Do the math yourself
Simply compute memory offset to each element like this:
for (i=0; i<3; ++i){
for(j=0; j<3; ++j){
buf3[i * 5 + j] = someValue(i,j); /* Don't need to worry about
padding in this case */
}
}
Allocate and do the work in a function
Define a function that takes the needed size as an argument and proceed as normal
void dary(int x, int y){
double ary4[x][y];
ary4[2][3] = 5;
}
Of course, in this case ary4 is a local variable and you can not return it: all the work with the array must be done in the function you call of in functions that it calls.
An array of pointers
Consider this:
double **hdl5 = malloc(3*sizeof(double*));
/* Error checking */
for (i=0; i<3; ++i){
hdl5[i] = malloc(5*sizeof(double))
/* Error checking */
}
Now hdl5 points to an array of pointers each of which points to an array of doubles. The cool bit is that you can use the two-dimensional array notation to access this structure---hdl5[0][2] gets the middle element of the first row---but this is none-the-less a different kind of object than a two-dimensional array declared by double ary[3][5];.
This structure is more flexible then a two dimensional array (because the rows need not be the same length), but accessing it will generally be slower and it requires more memory (you need a place to hold the intermediate pointers).
Note that since I haven't setup any guards you'll have to keep track of the size of all the arrays yourself.
Arithmetic
c provides no support for vector, matrix or tensor math, you'll have to implement it yourself, or bring in a library.
Multiplication by a scaler and addition and subtraction of arrays of the same rank are easy: just loop over the elements and perform the operation as you go. Inner products are similarly straight forward.
Outer products mean more loops.
If you know the number of columns at compile time, it's pretty simple:
#define COLS ...
...
size_t rows;
// get number of rows
T (*ap)[COLS] = malloc(sizeof *ap * rows); // ap is a *pointer to an array* of T
You can treat ap like any 2D array:
ap[i][j] = x;
When you're done you deallocate it as
free(ap);
If you don't know the number of columns at compile time, but you're working with a C99 compiler or a C2011 compiler that supports variable-length arrays, it's still pretty simple:
size_t rows;
size_t cols;
// get rows and cols
T (*ap)[cols] = malloc(sizeof *ap * rows);
...
ap[i][j] = x;
...
free(ap);
If you don't know the number of columns at compile time and you're working with a version of C that doesn't support variable-length arrays, then you'll need to do something different. If you need all of the elements to be allocated in a contiguous chunk (like a regular array), then you can allocate the memory as a 1D array, and compute a 1D offset:
size_t rows, cols;
// get rows and columns
T *ap = malloc(sizeof *ap * rows * cols);
...
ap[i * rows + j] = x;
...
free(ap);
If you don't need the memory to be contiguous, you can follow a two-step allocation method:
size_t rows, cols;
// get rows and cols
T **ap = malloc(sizeof *ap * rows);
if (ap)
{
size_t i = 0;
for (i = 0; i < cols; i++)
{
ap[i] = malloc(sizeof *ap[i] * cols);
}
}
ap[i][j] = x;
Since allocation was a two-step process, deallocation also needs to be a two-step process:
for (i = 0; i < cols; i++)
free(ap[i]);
free(ap);
malloc will do.
int rows = 20;
int cols = 20;
int *array;
array = malloc(rows * cols * sizeof(int));
Refer the below article for help:-
http://courses.cs.vt.edu/~cs2704/spring00/mcquain/Notes/4up/Managing2DArrays.pdf
Here is working code that defines a subroutine make_3d_array to allocate a multidimensional 3D array with N1, N2 and N3 elements in each dimension, and then populates it with random numbers. You can use the notation A[i][j][k] to access its elements.
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
// Method to allocate a 2D array of floats
float*** make_3d_array(int nx, int ny, int nz) {
float*** arr;
int i,j;
arr = (float ***) malloc(nx*sizeof(float**));
for (i = 0; i < nx; i++) {
arr[i] = (float **) malloc(ny*sizeof(float*));
for(j = 0; j < ny; j++) {
arr[i][j] = (float *) malloc(nz * sizeof(float));
}
}
return arr;
}
int main(int argc, char *argv[])
{
int i, j, k;
size_t N1=10,N2=20,N3=5;
// allocates 3D array
float ***ran = make_3d_array(N1, N2, N3);
// initialize pseudo-random number generator
srand(time(NULL));
// populates the array with random numbers
for (i = 0; i < N1; i++){
for (j=0; j<N2; j++) {
for (k=0; k<N3; k++) {
ran[i][j][k] = ((float)rand()/(float)(RAND_MAX));
}
}
}
// prints values
for (i=0; i<N1; i++) {
for (j=0; j<N2; j++) {
for (k=0; k<N3; k++) {
printf("A[%d][%d][%d] = %f \n", i,j,k,ran[i][j][k]);
}
}
}
free(ran);
}
There's no way to allocate the whole thing in one go. Instead, create an array of pointers, then, for each pointer, create the memory for it. For example:
int** array;
array = (int**)malloc(sizeof(int*) * 50);
for(int i = 0; i < 50; i++)
array[i] = (int*)malloc(sizeof(int) * 50);
Of course, you can also declare the array as int* array[50] and skip the first malloc, but the second set is needed in order to dynamically allocate the required storage.
It is possible to hack a way to allocate it in a single step, but it would require a custom lookup function, but writing that in such a way that it will always work can be annoying. An example could be L(arr,x,y,max_x) arr[(y)*(max_x) + (x)], then malloc a block of 50*50 ints or whatever and access using that L macro, e.g.
#define L(arr,x,y,max_x) arr[(y)*(max_x) + (x)]
int dim_x = 50;
int dim_y = 50;
int* array = malloc(dim_x*dim_y*sizeof(int));
int foo = L(array, 4, 6, dim_x);
But that's much nastier unless you know the effects of what you're doing with the preprocessor macro.
int rows, columns;
/* initialize rows and columns to the desired value */
arr = (int**)malloc(rows*sizeof(int*));
for(i=0;i<rows;i++)
{
arr[i] = (int*)malloc(cols*sizeof(int));
}
// use new instead of malloc as using malloc leads to memory leaks
`enter code here
int **adj_list = new int*[rowsize];
for(int i = 0; i < rowsize; ++i)
{
adj_list[i] = new int[colsize];
}

Using malloc for allocation of multi-dimensional arrays with different row lengths

I have the following C code :
int *a;
size_t size = 2000*sizeof(int);
a = malloc(size);
which works fine. But if I have the following :
char **b = malloc(2000*sizeof *b);
where every element of b has different length.
How is it possible to do the same thing for b as i did for a; i.e. the following code would hold correct?
char *c;
size_t size = 2000*sizeof(char *);
c = malloc(size);
First, you need to allocate array of pointers like char **c = malloc( N * sizeof( char* )), then allocate each row with a separate call to malloc, probably in the loop:
/* N is the number of rows */
/* note: c is char** */
if (( c = malloc( N*sizeof( char* ))) == NULL )
{ /* error */ }
for ( i = 0; i < N; i++ )
{
/* x_i here is the size of given row, no need to
* multiply by sizeof( char ), it's always 1
*/
if (( c[i] = malloc( x_i )) == NULL )
{ /* error */ }
/* probably init the row here */
}
/* access matrix elements: c[i] give you a pointer
* to the row array, c[i][j] indexes an element
*/
c[i][j] = 'a';
If you know the total number of elements (e.g. N*M) you can do this in a single allocation.
The typical form for dynamically allocating an NxM array of type T is
T **a = malloc(sizeof *a * N);
if (a)
{
for (i = 0; i < N; i++)
{
a[i] = malloc(sizeof *a[i] * M);
}
}
If each element of the array has a different length, then replace M with the appropriate length for that element; for example
T **a = malloc(sizeof *a * N);
if (a)
{
for (i = 0; i < N; i++)
{
a[i] = malloc(sizeof *a[i] * length_for_this_element);
}
}
Equivalent memory allocation for char a[10][20] would be as follows.
char **a;
a=malloc(10*sizeof(char *));
for(i=0;i<10;i++)
a[i]=malloc(20*sizeof(char));
I hope this looks simple to understand.
The other approach would be to allocate one contiguous chunk of memory comprising header block for pointers to rows as well as body block to store actual data in rows. Then just mark up memory by assigning addresses of memory in body to the pointers in header on per-row basis. It would look like follows:
int** 2dAlloc(int rows, int* columns) {
int header = rows * sizeof(int*);
int body = 0;
for(int i=0; i<rows; body+=columnSizes[i++]) {
}
body*=sizeof(int);
int** rowptr = (int**)malloc(header + body);
int* buf = (int*)(rowptr + rows);
rowptr[0] = buf;
int k;
for(k = 1; k < rows; ++k) {
rowptr[k] = rowptr[k-1] + columns[k-1];
}
return rowptr;
}
int main() {
// specifying column amount on per-row basis
int columns[] = {1,2,3};
int rows = sizeof(columns)/sizeof(int);
int** matrix = 2dAlloc(rows, &columns);
// using allocated array
for(int i = 0; i<rows; ++i) {
for(int j = 0; j<columns[i]; ++j) {
cout<<matrix[i][j]<<", ";
}
cout<<endl;
}
// now it is time to get rid of allocated
// memory in only one call to "free"
free matrix;
}
The advantage of this approach is elegant freeing of memory and ability to use array-like notation to access elements of the resulting 2D array.
If every element in b has different lengths, then you need to do something like:
int totalLength = 0;
for_every_element_in_b {
totalLength += length_of_this_b_in_bytes;
}
return malloc(totalLength);
I think a 2 step approach is best, because c 2-d arrays are just and array of arrays. The first step is to allocate a single array, then loop through it allocating arrays for each column as you go. This article gives good detail.
2-D Array Dynamic Memory Allocation
int **a,i;
// for any number of rows & columns this will work
a = malloc(rows*sizeof(int *));
for(i=0;i<rows;i++)
*(a+i) = malloc(cols*sizeof(int));
malloc does not allocate on specific boundaries, so it must be assumed that it allocates on a byte boundary.
The returned pointer can then not be used if converted to any other type, since accessing that pointer will probably produce a memory access violation by the CPU, and the application will be immediately shut down.

How do I work with dynamic multi-dimensional arrays in C?

Does someone know how I can use dynamically allocated multi-dimensional arrays using C? Is that possible?
Since C99, C has 2D arrays with dynamical bounds. If you want to avoid that such beast are allocated on the stack (which you should), you can allocate them easily in one go as the following
double (*A)[n] = malloc(sizeof(double[n][n]));
and that's it. You can then easily use it as you are used for 2D arrays with something like A[i][j]. And don't forget that one at the end
free(A);
Randy Meyers wrote series of articles explaining variable length arrays (VLAs).
With dynamic allocation, using malloc:
int** x;
x = malloc(dimension1_max * sizeof(*x));
for (int i = 0; i < dimension1_max; i++) {
x[i] = malloc(dimension2_max * sizeof(x[0]));
}
//Writing values
x[0..(dimension1_max-1)][0..(dimension2_max-1)] = Value;
[...]
for (int i = 0; i < dimension1_max; i++) {
free(x[i]);
}
free(x);
This allocates an 2D array of size dimension1_max * dimension2_max. So, for example, if you want a 640*480 array (f.e. pixels of an image), use dimension1_max = 640, dimension2_max = 480. You can then access the array using x[d1][d2] where d1 = 0..639, d2 = 0..479.
But a search on SO or Google also reveals other possibilities, for example in this SO question
Note that your array won't allocate a contiguous region of memory (640*480 bytes) in that case which could give problems with functions that assume this. So to get the array satisfy the condition, replace the malloc block above with this:
int** x;
int* temp;
x = malloc(dimension1_max * sizeof(*x));
temp = malloc(dimension1_max * dimension2_max * sizeof(x[0]));
for (int i = 0; i < dimension1_max; i++) {
x[i] = temp + (i * dimension2_max);
}
[...]
free(temp);
free(x);
Basics
Arrays in c are declared and accessed using the [] operator. So that
int ary1[5];
declares an array of 5 integers. Elements are numbered from zero so ary1[0] is the first element, and ary1[4] is the last element. Note1: There is no default initialization, so the memory occupied by the array may initially contain anything. Note2: ary1[5] accesses memory in an undefined state (which may not even be accessible to you), so don't do it!
Multi-dimensional arrays are implemented as an array of arrays (of arrays (of ... ) ). So
float ary2[3][5];
declares an array of 3 one-dimensional arrays of 5 floating point numbers each. Now ary2[0][0] is the first element of the first array, ary2[0][4] is the last element of the first array, and ary2[2][4] is the last element of the last array. The '89 standard requires this data to be contiguous (sec. A8.6.2 on page 216 of my K&R 2nd. ed.) but seems to be agnostic on padding.
Trying to go dynamic in more than one dimension
If you don't know the size of the array at compile time, you'll want to dynamically allocate the array. It is tempting to try
double *buf3;
buf3 = malloc(3*5*sizeof(double));
/* error checking goes here */
which should work if the compiler does not pad the allocation (stick extra space between the one-dimensional arrays). It might be safer to go with:
double *buf4;
buf4 = malloc(sizeof(double[3][5]));
/* error checking */
but either way the trick comes at dereferencing time. You can't write buf[i][j] because buf has the wrong type. Nor can you use
double **hdl4 = (double**)buf;
hdl4[2][3] = 0; /* Wrong! */
because the compiler expects hdl4 to be the address of an address of a double. Nor can you use double incomplete_ary4[][]; because this is an error;
So what can you do?
Do the row and column arithmetic yourself
Allocate and do the work in a function
Use an array of pointers (the mechanism qrdl is talking about)
Do the math yourself
Simply compute memory offset to each element like this:
for (i=0; i<3; ++i){
for(j=0; j<3; ++j){
buf3[i * 5 + j] = someValue(i,j); /* Don't need to worry about
padding in this case */
}
}
Allocate and do the work in a function
Define a function that takes the needed size as an argument and proceed as normal
void dary(int x, int y){
double ary4[x][y];
ary4[2][3] = 5;
}
Of course, in this case ary4 is a local variable and you can not return it: all the work with the array must be done in the function you call of in functions that it calls.
An array of pointers
Consider this:
double **hdl5 = malloc(3*sizeof(double*));
/* Error checking */
for (i=0; i<3; ++i){
hdl5[i] = malloc(5*sizeof(double))
/* Error checking */
}
Now hdl5 points to an array of pointers each of which points to an array of doubles. The cool bit is that you can use the two-dimensional array notation to access this structure---hdl5[0][2] gets the middle element of the first row---but this is none-the-less a different kind of object than a two-dimensional array declared by double ary[3][5];.
This structure is more flexible then a two dimensional array (because the rows need not be the same length), but accessing it will generally be slower and it requires more memory (you need a place to hold the intermediate pointers).
Note that since I haven't setup any guards you'll have to keep track of the size of all the arrays yourself.
Arithmetic
c provides no support for vector, matrix or tensor math, you'll have to implement it yourself, or bring in a library.
Multiplication by a scaler and addition and subtraction of arrays of the same rank are easy: just loop over the elements and perform the operation as you go. Inner products are similarly straight forward.
Outer products mean more loops.
If you know the number of columns at compile time, it's pretty simple:
#define COLS ...
...
size_t rows;
// get number of rows
T (*ap)[COLS] = malloc(sizeof *ap * rows); // ap is a *pointer to an array* of T
You can treat ap like any 2D array:
ap[i][j] = x;
When you're done you deallocate it as
free(ap);
If you don't know the number of columns at compile time, but you're working with a C99 compiler or a C2011 compiler that supports variable-length arrays, it's still pretty simple:
size_t rows;
size_t cols;
// get rows and cols
T (*ap)[cols] = malloc(sizeof *ap * rows);
...
ap[i][j] = x;
...
free(ap);
If you don't know the number of columns at compile time and you're working with a version of C that doesn't support variable-length arrays, then you'll need to do something different. If you need all of the elements to be allocated in a contiguous chunk (like a regular array), then you can allocate the memory as a 1D array, and compute a 1D offset:
size_t rows, cols;
// get rows and columns
T *ap = malloc(sizeof *ap * rows * cols);
...
ap[i * rows + j] = x;
...
free(ap);
If you don't need the memory to be contiguous, you can follow a two-step allocation method:
size_t rows, cols;
// get rows and cols
T **ap = malloc(sizeof *ap * rows);
if (ap)
{
size_t i = 0;
for (i = 0; i < cols; i++)
{
ap[i] = malloc(sizeof *ap[i] * cols);
}
}
ap[i][j] = x;
Since allocation was a two-step process, deallocation also needs to be a two-step process:
for (i = 0; i < cols; i++)
free(ap[i]);
free(ap);
malloc will do.
int rows = 20;
int cols = 20;
int *array;
array = malloc(rows * cols * sizeof(int));
Refer the below article for help:-
http://courses.cs.vt.edu/~cs2704/spring00/mcquain/Notes/4up/Managing2DArrays.pdf
Here is working code that defines a subroutine make_3d_array to allocate a multidimensional 3D array with N1, N2 and N3 elements in each dimension, and then populates it with random numbers. You can use the notation A[i][j][k] to access its elements.
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
// Method to allocate a 2D array of floats
float*** make_3d_array(int nx, int ny, int nz) {
float*** arr;
int i,j;
arr = (float ***) malloc(nx*sizeof(float**));
for (i = 0; i < nx; i++) {
arr[i] = (float **) malloc(ny*sizeof(float*));
for(j = 0; j < ny; j++) {
arr[i][j] = (float *) malloc(nz * sizeof(float));
}
}
return arr;
}
int main(int argc, char *argv[])
{
int i, j, k;
size_t N1=10,N2=20,N3=5;
// allocates 3D array
float ***ran = make_3d_array(N1, N2, N3);
// initialize pseudo-random number generator
srand(time(NULL));
// populates the array with random numbers
for (i = 0; i < N1; i++){
for (j=0; j<N2; j++) {
for (k=0; k<N3; k++) {
ran[i][j][k] = ((float)rand()/(float)(RAND_MAX));
}
}
}
// prints values
for (i=0; i<N1; i++) {
for (j=0; j<N2; j++) {
for (k=0; k<N3; k++) {
printf("A[%d][%d][%d] = %f \n", i,j,k,ran[i][j][k]);
}
}
}
free(ran);
}
There's no way to allocate the whole thing in one go. Instead, create an array of pointers, then, for each pointer, create the memory for it. For example:
int** array;
array = (int**)malloc(sizeof(int*) * 50);
for(int i = 0; i < 50; i++)
array[i] = (int*)malloc(sizeof(int) * 50);
Of course, you can also declare the array as int* array[50] and skip the first malloc, but the second set is needed in order to dynamically allocate the required storage.
It is possible to hack a way to allocate it in a single step, but it would require a custom lookup function, but writing that in such a way that it will always work can be annoying. An example could be L(arr,x,y,max_x) arr[(y)*(max_x) + (x)], then malloc a block of 50*50 ints or whatever and access using that L macro, e.g.
#define L(arr,x,y,max_x) arr[(y)*(max_x) + (x)]
int dim_x = 50;
int dim_y = 50;
int* array = malloc(dim_x*dim_y*sizeof(int));
int foo = L(array, 4, 6, dim_x);
But that's much nastier unless you know the effects of what you're doing with the preprocessor macro.
int rows, columns;
/* initialize rows and columns to the desired value */
arr = (int**)malloc(rows*sizeof(int*));
for(i=0;i<rows;i++)
{
arr[i] = (int*)malloc(cols*sizeof(int));
}
// use new instead of malloc as using malloc leads to memory leaks
`enter code here
int **adj_list = new int*[rowsize];
for(int i = 0; i < rowsize; ++i)
{
adj_list[i] = new int[colsize];
}

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