Construct array with accumulation

`A = accumarray(subs,val)`

`A = accumarray(subs,val,sz)`

`A = accumarray(subs,val,sz,fun)`

`A = accumarray(subs,val,sz,fun,fillval)`

`A = accumarray(subs,val,sz,fun,fillval,issparse)`

returns
array `A`

= accumarray(`subs`

,`val`

)`A`

by accumulating elements of vector `val`

using
the subscripts `subs`

. If `subs`

is
a column vector, then each element defines a corresponding subscript
in the output, which is also a column vector. The `accumarray`

function
collects all elements of `val`

that have identical
subscripts in `subs`

and stores their sum in the
location of `A`

corresponding to that subscript (for
index `i`

, `A(i)=sum(val(subs(:)==i))`

).
Elements of `A`

whose subscripts do not appear in `subs`

are
equal to 0.

For an * m*-by-

`n`

`subs`

,
each row represents an `n`

`A`

. The ith row of `subs`

corresponds
to the ith element in the vector `val`

.

returns
an array, `A`

= accumarray(`subs`

,`val`

,`sz`

)`A`

, with size `sz`

. Specify `sz`

as
a vector of positive integers to define the size of the output, or
as `[]`

to let the subscripts in `subs`

determine
the size of the output. Use `sz`

when `subs`

does
not reference trailing rows, columns, or dimensions that you would
like to be present in the output.

The behavior of

`accumarray`

is similar to that of the`histcounts`

function. Both functions group data into bins.`histcounts`

groups continuous values into a 1-D range using bin edges.`accumarray`

groups data using*n*-dimensional subscripts.`histcounts`

returns the bin counts and/or bin placement. However,`accumarray`

can apply any function to the binned data.

You can mimic the behavior of

`histcounts`

using`accumarray`

with`val = 1`

.The

`sparse`

function also has accumulation behavior similar to that of`accumarray`

.`sparse`

groups data into bins using 2-D subscripts, whereas`accumarray`

groups data into bins using*n*-dimensional subscripts.For elements with identical subscripts,

`sparse`

assigns the sum of those elements to the output.`accumarray`

does the same by default, but optionally can apply any function to the bins.

`full`

| `histcounts`

| `sparse`

| `sum`