Array

Array(f, n)

returns the n-element list {f(1), ..., f(n)}.

Array(f, n, a)

returns the n-element list {f(a), ..., f(a + n)}.

Array(f, {n, m}, {a, b})

returns an n-by-m matrix created by applying f to indices ranging from (a, b) to (a + n, b + m).

Array(f, dims, origins, h)

returns an expression with the specified dimensions and index origins, with head h (instead of List).

Examples

>> Array(f, 4)
{f(1),f(2),f(3),f(4)}

>> Array(f, {2, 3})
{{f(1,1),f(1,2),f(1,3)},{f(2,1),f(2,2),f(2,3)}}

>> Array(f, {2, 3}, {4, 6})
{{f(4,6),f(4,7),f(4,8)},{f(5,6),f(5,7),f(5,8)}}

>> Array(f, 4)
{f(1), f(2), f(3), f(4)}

>> Array(f, {2, 3})
{{f(1, 1), f(1, 2), f(1, 3)}, {f(2, 1), f(2, 2), f(2, 3)}}

>> Array(f, {2, 3}, 3)
{{f(3, 3), f(3, 4), f(3, 5)}, {f(4, 3), f(4, 4), f(4, 5)}}

>> Array(f, {2, 3}, {4, 6})
{{f(4,6),f(4,7),f(4,8)},{f(5,6),f(5,7),f(5,8)}}

The next line gives 12 samples of Cos(x/4)] starting at (x=4).

>> Array(Cos(#/4)&, 12, 4)
{Cos(1),Cos(5/4),Cos(3/2),Cos(7/4),Cos(2),Cos(9/4),Cos(5/2),Cos(11/4),Cos(3),Cos(13/4),Cos(7/2),Cos(15/4)}

Array can take a fourth argument which should be applied to the result instead of List. The next line finds the minimum of the samples. Notice the function to be applied must be the fourth argument, so you must provide an starting value as a third argument.

>> Array(Cos(#/4)&, 12, 4, Min)
Cos(13/4)

>> Array(f, {2, 3}, 1, Plus)
f(1,1)+f(1,2)+f(1,3)+f(2,1)+f(2,2)+f(2,3)

{2, 3} and {1, 2, 3} should have the same length.

>> Array(f, {2, 3}, {1, 2, 3})
Array(f, {2, 3}, {1, 2, 3})

Single or list of non-negative integers expected at position 2.

>> Array(f, a)
Array(f, a)

Single or list of non-negative integers expected at position 3.

>> Array(f, 2, b)
Array(f, 2, b)

Implementation status

• ✅ - full supported

Github

• Implementation of Array