cumprod

``````..  cumprod(A, [dim])

Cumulative product along a dimension ``dim`` (defaults to 1).
both for performance and to control the precision of the
output (e.g. to avoid overflow).``````

Examples

The `cumprod` function in Julia calculates the cumulative product along a specified dimension (`dim`). If `dim` is not provided, it defaults to 1. The function returns a new array containing the cumulative product values.

``````julia> cumprod([2, 3, 4])
3-element Array{Int64,1}:
2
6
24``````

This example calculates the cumulative product of the elements in the array `[2, 3, 4]`.

``````julia> A = [1 2 3; 4 5 6; 7 8 9];
julia> cumprod(A, 2)
3×3 Array{Int64,2}:
1   2   6
4  20 120
7  56 504``````

Here, the `cumprod` function is applied along `dim=2` (rows) of the matrix `A`, resulting in a new matrix with cumulative product values along each row.

``````julia> B = [0.1, 0.01, 0.001];
julia> cumprod(B)
3-element Array{Float64,1}:
0.1
0.001
1.0e-6``````

In this example, the `cumprod` function is used on an array of floating-point numbers.

Note that the `cumprod` function can also be used with higher-dimensional arrays by specifying the appropriate `dim` value.

It's important to mention the `cumprod!` function, which allows for using a preallocated output array to improve performance and control the precision of the output, especially to prevent overflow.