```
gentype
```
| gentype x`)` |

Return result of reduction operation specified
by *<op>* for all values of `x`

specified by work-items in a work-group.

This built-in function must be encountered by all work-items in a work-group executing the kernel. We use the generic type name gentype to indicate the built-in data types half (if the cl_khr_fp16 extension is supported), int, uint, long, ulong, float or double (if double precision is supported) as the type for the arguments.

The *<op>* in
`work_group_reduce_`

,
*<op>*`work_group_scan_exclusive_`

and
*<op>*`work_group_scan_inclusive_`

defines the operator and can be *<op>*`add`

, `min`

or `max`

.

The inclusive scan operation takes a binary operator `op`

with an identity `I`

and `n`

(where
`n`

is the size of the work-group) elements
`[a0, a1, ... an-1]`

and returns
`[a0, (a0 `

.
If <*op* a1), ... (a0 *op* a1
*op* ... *op* an-1)]`op`

> = `add`

, the identity
`I`

is 0. If <`op`

> = `min`

,
the identity `I`

is `INT_MAX`

,
`UINT_MAX`

, `LONG_MAX`

,
`ULONG_MAX`

, for int,
uint, long, ulong types
and is `+INF`

for floating-point types. Similarly
if <`op`

> = max, the identity `I`

is
`INT_MIN`

, 0, `LONG_MIN`

,
0 and `-INF`

.

Consider the following example:

void foo(int *p)

{

...

int prefix_sum_val = work_group_scan_inclusive_add(

p[get_local_id(0)]);

}

For the example above, let's assume that the work-group
size is 8 and p points to the following
elements [3 1 7 0 4 1 6 3]. Work-item 0 calls
`work_group_scan_inclusive_add`

with 3 and returns 3. Work-item 1 calls
`work_group_scan_inclusive_add`

with 1 and
returns 4. The full set of values returned by
`work_group_scan_inclusive_add`

for work-items 0 ... 7 are [3 4 11 11 14 16 22 25].

The exclusive scan operation takes a binary
associative operator `op`

with an
identity `I`

and `n`

(where `n`

is the size of the work-group)
elements `[a0, a1, ... an-1]`

and returns ```
[I, a0,
(a0
```

. For the
example above, the exclusive scan
add operation on the ordered set [3 1 7 0 4 1 6 3]
would return [0 3 4 11 11 14 16 22].
*op* a1), ... (a0 *op* a1
*op* ... *op* an-2)]

NOTE: The order of floating-point operations is not guaranteed for the
`work_group_reduce_`

,
*<op>*`work_group_scan_inclusive_`

and
*<op>*`work_group_scan_exclusive_`

built-in functions that operate on half, float and
double data types.
The order of these floating-point operations is also non-deterministic
for a given workgroup.
*<op>*

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