## NDGRID Generate N-Dimensional Grid

Section: Array Generation and Manipulations

### Usage

Generates N-dimensional grids, each of which is constant in all but one dimension. The syntax for its use is either

       [y1, y2, ..., ym] = ndgrid(x1, x2, ..., xn)

where `m <= n` or

       [y1, y2, ..., ym] = ndgrid(x1)

which is equivalent to the first form, with `x1=x2=...=xn`. Each output `yi` is an `n`-dimensional array, with values such that

`ndgrid` is useful for evaluating multivariate functionals over a range of arguments. It is a generalization of `meshgrid`, except that `meshgrid` transposes the dimensions corresponding to the first two arguments to better fit graphical applications.

### Example

Here is a simple `ndgrid` example

    --> [a,b] = ndgrid(1:2,3:5)
    a =
      <int32>  - size: [2 3]

    Columns 1 to 3
     1  1  1
     2  2  2
    b =
      <int32>  - size: [2 3]

    Columns 1 to 3
     3  4  5
     3  4  5
    --> [a,b,c] = ndgrid(1:2,3:5,0:1)
    a =
      <int32>  - size: [2 3 2]
    (:,:,1) =

    Columns 1 to 3
     1  1  1
     2  2  2
    (:,:,2) =

    Columns 1 to 3
     1  1  1
     2  2  2
    b =
      <int32>  - size: [2 3 2]
    (:,:,1) =

    Columns 1 to 3
     3  4  5
     3  4  5
    (:,:,2) =

    Columns 1 to 3
     3  4  5
     3  4  5
    c =
      <int32>  - size: [2 3 2]
    (:,:,1) =

    Columns 1 to 3
     0  0  0
     0  0  0
    (:,:,2) =

    Columns 1 to 3
     1  1  1
     1  1  1

Here we use the second form

    --> [a,b,c] = ndgrid(1:3)
    a =
      <int32>  - size: [3 3 3]
    (:,:,1) =

    Columns 1 to 3
     1  1  1
     2  2  2
     3  3  3
    (:,:,2) =

    Columns 1 to 3
     1  1  1
     2  2  2
     3  3  3
    (:,:,3) =

    Columns 1 to 3
     1  1  1
     2  2  2
     3  3  3
    b =
      <int32>  - size: [3 3 3]
    (:,:,1) =

    Columns 1 to 3
     1  2  3
     1  2  3
     1  2  3
    (:,:,2) =

    Columns 1 to 3
     1  2  3
     1  2  3
     1  2  3
    (:,:,3) =

    Columns 1 to 3
     1  2  3
     1  2  3
     1  2  3
    c =
      <int32>  - size: [3 3 3]
    (:,:,1) =

    Columns 1 to 3
     1  1  1
     1  1  1
     1  1  1
    (:,:,2) =

    Columns 1 to 3
     2  2  2
     2  2  2
     2  2  2
    (:,:,3) =

    Columns 1 to 3
     3  3  3
     3  3  3
     3  3  3