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{{about|the vector addressing type|the I/O method|Vectored I/O}}


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'''Gather-scatter''' is a type of memory addressing that often arises when addressing
vectors in [[Sparse matrix|sparse]] [[linear algebra]] operations. It is the
vector-equivalent of register indirect addressing, with gather involving indexed
reads and scatter indexed writes. [[Vector processor]]s have
hardware support for gather-scatter operations, providing instructions such as
''Load Vector Indexed'' for gather and ''Store Vector Indexed'' for scatter.
 
==Definition==
Denoting by <math>idx</math> the list of indices of sparse vector <math>x</math>,
the sparse gather of dense <math>y</math> into <math>x</math> denoted
<math>x \leftarrow y|_x</math>, assigns <math>x(i)=y(idx(i))</math>.<ref>[http://www.netlib.org/blas/blast-forum/chapter3.pdf BLAS Technical Forum standard, Chapter 3: Sparse BLAS.]</ref>
 
The sparse scatter, denoted <math>y|_x \leftarrow x</math> is the reverse operation.
It copies the nonzero values of sparse <math>x</math> into the corresponding
locations in the dense vector <math>y</math>, i.e. <math>y(idx(i))=x(i)</math>.
 
==Examples==
Gather:
<source lang="C">
for (i=0; i<N; ++i)
  x[i] = y[idx[i]];
</source>
 
Scatter:
<source lang="C">
for (i=0; i<N; ++i)
  y[idx[i]] = x[i];
</source>
 
== See also ==
* [[SIMD]]  
* [[Vectorization (parallel computing)|Vectorization]]
 
==References==
{{reflist}}
 
[[Category:Parallel computing]]

Revision as of 09:07, 25 December 2013

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Gather-scatter is a type of memory addressing that often arises when addressing vectors in sparse linear algebra operations. It is the vector-equivalent of register indirect addressing, with gather involving indexed reads and scatter indexed writes. Vector processors have hardware support for gather-scatter operations, providing instructions such as Load Vector Indexed for gather and Store Vector Indexed for scatter.

Definition

Denoting by the list of indices of sparse vector , the sparse gather of dense into denoted , assigns .[1]

The sparse scatter, denoted is the reverse operation. It copies the nonzero values of sparse into the corresponding locations in the dense vector , i.e. .

Examples

Gather:

for (i=0; i<N; ++i)
  x[i] = y[idx[i]];

Scatter:

for (i=0; i<N; ++i)
  y[idx[i]] = x[i];

See also

References

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