From ca3100ebe702ffe983c9be6cada939f4764b633d Mon Sep 17 00:00:00 2001 From: samaid Date: Thu, 17 Nov 2022 13:41:06 -0600 Subject: [PATCH] Parallelism section documented --- docs/sources/_images/DPEP.png | Bin 0 -> 12934 bytes docs/sources/_images/dpep-cores.png | Bin 0 -> 85111 bytes docs/sources/_images/dpep-ilp.png | Bin 0 -> 40118 bytes docs/sources/_images/dpep-simd.png | Bin 0 -> 55033 bytes docs/sources/_images/fp-cancellation.png | Bin 0 -> 22230 bytes docs/sources/_images/hetero-devices.png | Bin 0 -> 52971 bytes docs/sources/_images/kernel-queue-device.png | Bin 0 -> 40141 bytes docs/sources/_images/queue-exception1.png | Bin 0 -> 49528 bytes docs/sources/_images/queue-exception2.png | Bin 0 -> 51749 bytes docs/sources/_images/queue-exception3.png | Bin 0 -> 55954 bytes docs/sources/parallelism.rst | 39 +++++++++++++++++++ 11 files changed, 39 insertions(+) create mode 100644 docs/sources/_images/DPEP.png create mode 100644 docs/sources/_images/dpep-cores.png create mode 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packages for leveraging parallelism available in modern CPUs: + +* **Multiple computational cores:** Several computational cores allow processing data concurrently. + Compared to a single core CPU, *N* cores can process either *N* times bigger data in a fixed time, or + reduce a computation time *N* times for a fixed amount of data. + +.. image:: ./_images/dpep-cores.png + :width: 600px + :align: center + :alt: Multiple CPU Cores + +* **SIMD parallelism:** SIMD (Single Instruction Multiple Data) is a special type of instructions + that perform operations on vectors of data elements at the same time. The size of vectors is called SIMD width. + If SIMD width is *K* then a SIMD instruction can process *K* data elements in parallel. + + In the following diagram the SIMD width is 2, which means that a single instruction processes two elements simultaneously. + Compared to regular instructions that process one element at a time, 2-wide SIMD instruction performs + 2 times more data in fixed time, or, respectively, process a fixed amount of data 2 times faster. + +.. image:: ./_images/dpep-simd.png + :width: 150px + :align: center + :alt: SIMD + +* **Instruction-Level Parallelism:** Modern CISC architectures, such as x86, allow performing data independent + instructions in parallel. In the following example, we compute :math:`a * b + (c - d)`. + Operations :math:`*` and :math:`-` can be executed in parallel, the last instruction + :math:`+` depends on availability of :math:`a * b` and :math:`c - d` and hence cannot be executed in parallel + with :math:`*` and :math:`-`. + +.. image:: ./_images/dpep-ilp.png + :width: 150px + :align: center + :alt: SIMD +