Merge remote-tracking branch 'goog/stage-aosp-master' into HEAD
diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..b8ad24c
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,9 @@
+*~
+.*
+*.pyc
+/results*
+*.json
+*.log
+/tools/android-sdk-linux
+/ipynb/*.pid
+/vagrant
diff --git a/.gitmodules b/.gitmodules
new file mode 100644
index 0000000..3fb1c5b
--- /dev/null
+++ b/.gitmodules
@@ -0,0 +1,9 @@
+[submodule "libs/devlib"]
+ path = libs/devlib
+ url = https://github.com/ARM-Software/devlib.git
+[submodule "libs/trappy"]
+ path = libs/trappy
+ url = https://github.com/ARM-Software/trappy.git
+[submodule "libs/bart"]
+ path = libs/bart
+ url = https://github.com/ARM-Software/bart.git
diff --git a/.travis.yml b/.travis.yml
new file mode 100644
index 0000000..e771c37
--- /dev/null
+++ b/.travis.yml
@@ -0,0 +1,25 @@
+# SPDX-License-Identifier: Apache-2.0
+#
+# Copyright (C) 2017, ARM Limited and contributors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License"); you may
+# not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
+# WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#
+
+sudo: required
+language: python
+install:
+ # Use IPython 5.x because 6.0+ only supports Python 3.3
+ - pip install --upgrade "ipython<6.0.0" Cython trappy bart-py devlib psutil wrapt jupyter matplotlib
+script:
+ - cd $TRAVIS_BUILD_DIR
+ - source init_env && lisa-test tests/lisa/
diff --git a/LICENSE.txt b/LICENSE.txt
new file mode 100644
index 0000000..d645695
--- /dev/null
+++ b/LICENSE.txt
@@ -0,0 +1,202 @@
+
+ Apache License
+ Version 2.0, January 2004
+ http://www.apache.org/licenses/
+
+ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+ 1. Definitions.
+
+ "License" shall mean the terms and conditions for use, reproduction,
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+ the conditions stated in this License.
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+ 5. Submission of Contributions. Unless You explicitly state otherwise,
+ any Contribution intentionally submitted for inclusion in the Work
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+ 6. Trademarks. This License does not grant permission to use the trade
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+ 7. Disclaimer of Warranty. Unless required by applicable law or
+ agreed to in writing, Licensor provides the Work (and each
+ Contributor provides its Contributions) on an "AS IS" BASIS,
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+ appropriateness of using or redistributing the Work and assume any
+ risks associated with Your exercise of permissions under this License.
+
+ 8. Limitation of Liability. In no event and under no legal theory,
+ whether in tort (including negligence), contract, or otherwise,
+ unless required by applicable law (such as deliberate and grossly
+ negligent acts) or agreed to in writing, shall any Contributor be
+ liable to You for damages, including any direct, indirect, special,
+ incidental, or consequential damages of any character arising as a
+ result of this License or out of the use or inability to use the
+ Work (including but not limited to damages for loss of goodwill,
+ work stoppage, computer failure or malfunction, or any and all
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+ has been advised of the possibility of such damages.
+
+ 9. Accepting Warranty or Additional Liability. While redistributing
+ the Work or Derivative Works thereof, You may choose to offer,
+ and charge a fee for, acceptance of support, warranty, indemnity,
+ or other liability obligations and/or rights consistent with this
+ License. However, in accepting such obligations, You may act only
+ on Your own behalf and on Your sole responsibility, not on behalf
+ of any other Contributor, and only if You agree to indemnify,
+ defend, and hold each Contributor harmless for any liability
+ incurred by, or claims asserted against, such Contributor by reason
+ of your accepting any such warranty or additional liability.
+
+ END OF TERMS AND CONDITIONS
+
+ APPENDIX: How to apply the Apache License to your work.
+
+ To apply the Apache License to your work, attach the following
+ boilerplate notice, with the fields enclosed by brackets "[]"
+ replaced with your own identifying information. (Don't include
+ the brackets!) The text should be enclosed in the appropriate
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+ file or class name and description of purpose be included on the
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+ Copyright [yyyy] [name of copyright owner]
+
+ Licensed under the Apache License, Version 2.0 (the "License");
+ you may not use this file except in compliance with the License.
+ You may obtain a copy of the License at
+
+ http://www.apache.org/licenses/LICENSE-2.0
+
+ Unless required by applicable law or agreed to in writing, software
+ distributed under the License is distributed on an "AS IS" BASIS,
+ WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ See the License for the specific language governing permissions and
+ limitations under the License.
diff --git a/LisaShell.txt b/LisaShell.txt
new file mode 100644
index 0000000..1eb9fa5
--- /dev/null
+++ b/LisaShell.txt
@@ -0,0 +1,33 @@
+
+All LISA Shell commands start with "lisa-", thus using shell completion it is
+easy to get a list of all the available commands.
+
+Here is a list of the main ones, with a short description.
+For a longer description type "lisa-<command> help"
+
+.:: Generic commands
+--------------------
+
+lisa-help - Print this help, or command specific helps
+lisa-version - Dump info on the LISA in use
+
+.:: Maintenance commands
+------------------------
+
+lisa-update - Update submodules and LISA notebooks/tests
+
+.:: Notebooks commands
+----------------------
+
+lisa-ipython - Start/Stop the IPython Notebook server
+
+.:: Results analysis and Documentation
+--------------------------------------
+
+lisa-report - Pretty format results of last test
+
+.:: Test commands
+--------------------------------------
+
+lisa-test - Run tests and assert behaviours
+
diff --git a/README.md b/README.md
new file mode 100644
index 0000000..a509db5
--- /dev/null
+++ b/README.md
@@ -0,0 +1,84 @@
+
+*__NOTE__: This is still a work in progress project, suitable for:*
+*developers, contributors and testers.*
+*None of the provided tests have been extensively evaluated as of January 2017.*
+
+# Introduction
+
+The LISA project provides a toolkit that supports regression testing and
+interactive analysis of Linux kernel behavior. LISA stands for Linux
+Integrated/Interactive System Analysis. LISA's goal is to help Linux
+kernel developers to measure the impact of modifications in core parts
+of the kernel. The focus is on the scheduler (e.g. EAS), power management and
+thermal frameworks. However LISA is generic and can be used for other purposes
+too.
+
+LISA has a "host"/"target" model. LISA itself runs on a *host* machine, and uses
+the [devlib](https://github.com/ARM-software/lisa) toolkit to interact with the
+*target* via SSH, ADB or telnet. LISA is flexible with regard to the target OS;
+its only expectation is a Linux kernel-based system. Android, GNU/Linux and
+busybox style systems have all been used.
+
+LISA provides features to describe workloads (notably using
+[rt-app](https://github.com/scheduler-tools/rt-app)) and run them on targets. It
+can collect trace files from the target OS (e.g. systrace and ftrace traces),
+parse them via the [TRAPpy](https://github.com/ARM-software/trappy)
+framework. These traces can then be parsed and analysed in order to examine
+detailed target behaviour during the workload's execution.
+
+Some LISA features may require modifying the target OS. For example, in order to
+collect ftrace files the target kernel must have CONFIG_DYNAMIC_FTRACE enabled.
+
+There are two "entry points" for running LISA:
+
+* Via the [Jupyter/IPython notebook framework](http://jupyter.org/). This allows
+ LISA to be used interactively and supports visualisation of trace data. Some
+ notebooks are provided with example and ready-made LISA use-cases.
+
+* Via the automated test framework. This framework allows the development of
+ automated pass/fail regression tests for kernel behaviour. The
+ [BART](https://github.com/ARM-software/trappy) toolkit provides additional
+ domain-specific test assertions for this use-case. LISA provides some
+ ready-made automated tests under the `tests/` directory.
+
+# Motivations
+
+The main goals of LISA are:
+
+* Support study of existing behaviours (i.e. *"how does PELT work?"*)
+* Support analysis of new code being developed (i.e. *"what is the impact on
+ existing code?"*)
+* Get insights on what's not working and possibly chase down why
+* Share reproducible experiments by means of a **common language** that:
+ * is **flexible enough** to reproduce the same experiment on different
+ targets
+ * **simplifies** generation and execution of well defined workloads
+ * **defines** a set of metrics to evaluate kernel behaviours
+ * **enables** kernel developers to easily post process data to produce
+ statistics and plots
+
+# Documentation
+
+* [Wiki Home page](https://github.com/ARM-software/lisa/wiki)
+* [Installation](https://github.com/ARM-software/lisa/wiki/Installation)
+* [Quickstart Tutorial](https://github.com/ARM-software/lisa/wiki/Quickstart-tutorial)
+
+More formal API documentation for LISA is a work in progress, however much of
+the API is currently described in the provided tutorial Jupyter notebooks.
+
+# External Links
+* Linux Integrated System Analysis (LISA) & Friends
+ [Slides](http://events.linuxfoundation.org/sites/events/files/slides/ELC16_LISA_20160326.pdf)
+ and [Video](https://www.youtube.com/watch?v=yXZzzUEngiU)
+
+# License
+
+This project is licensed under Apache-2.0.
+
+This project includes some third-party code under other open source licenses. For more information, see lisa/tools/LICENSE.*
+
+# Contributions / Pull Requests
+
+Contributions are accepted under Apache-2.0. Only submit contributions where you have
+authored all of the code. If you do this on work time make sure your employer
+is cool with this.
diff --git a/Vagrantfile b/Vagrantfile
new file mode 100644
index 0000000..619650c
--- /dev/null
+++ b/Vagrantfile
@@ -0,0 +1,48 @@
+# -*- mode: ruby -*-
+# vi: set ft=ruby :
+
+
+Vagrant.configure(2) do |config|
+ config.vm.box = "ubuntu/trusty64"
+
+ # Compiling pandas requires 1Gb of memory
+ config.vm.provider "virtualbox" do |v|
+ v.memory = 1024
+ end
+
+ # Forward ipython notebook's port to the host
+ config.vm.network "forwarded_port", guest: 8888, host: 8888
+
+ config.vm.provision "shell", inline: <<-SHELL
+ set -e
+
+ if [ ! -e /home/vagrant/lisa ]; then
+ ln -s /vagrant /home/vagrant/lisa
+ fi
+
+ cd /home/vagrant/lisa
+ ./install_base_ubuntu.sh --install-android-sdk
+
+ chown vagrant.vagrant /home/vagrant/lisa
+ echo cd /home/vagrant/lisa >> /home/vagrant/.bashrc
+ for LC in $(locale | cut -d= -f1);
+ do
+ echo unset $LC >> /home/vagrant/.bashrc
+ done
+ echo "export ANDROID_HOME=/vagrant/tools/android-sdk-linux" >> /home/vagrant/.bashrc
+ echo 'export PATH=\$ANDROID_HOME/platform-tools:\$ANDROID_HOME/tools:\$PATH' >> /home/vagrant/.bashrc
+ echo source init_env >> /home/vagrant/.bashrc
+
+ echo "Virtual Machine Installation completed successfully! "
+ echo " "
+ echo "You can now access and use the virtual machine by running: "
+ echo " "
+ echo " $ vagrant ssh "
+ echo " "
+ echo "NOTE: if you exit, the virtual machine is still running. To shut it "
+ echo " down, please run: "
+ echo " "
+ echo " $ vagrant suspend "
+ echo " "
+ SHELL
+end
diff --git a/assets/mp3-short.json b/assets/mp3-short.json
new file mode 100644
index 0000000..0dffe55
--- /dev/null
+++ b/assets/mp3-short.json
@@ -0,0 +1,68 @@
+{
+ "tasks" : {
+ "AudioTick" : {
+ "priority" : -19,
+ "loop" : -1,
+ "cpus" : [0],
+ "phases" : {
+ "p1" : {
+ "loop" : 1,
+ "resume" : "AudioOut",
+ "timer" : { "ref" : "tick", "period": 6000 }
+ },
+ "p2" : {
+ "loop" : 4,
+ "timer" : { "ref" : "tick", "period": 6000 }
+ }
+ }
+ },
+ "AudioOut" : {
+ "priority" : -19,
+ "loop" : -1,
+ "run" : 275,
+ "resume" : "AudioTrack",
+ "run" : 4725,
+ "suspend" : "AudioOut"
+ },
+ "AudioTrack" : {
+ "priority" : -16,
+ "loop" : -1,
+ "suspend" : "AudioTrack",
+ "run" : 300,
+ "resume" : "mp3.decoder"
+ },
+ "mp3.decoder" : {
+ "priority" : -2,
+ "loop" : -1,
+ "suspend" : "mp3.decoder",
+ "run" : 1000,
+ "lock" : "mutex",
+ "signal" : "queue",
+ "wait" : { "ref" : "queue", "mutex": "mutex" },
+ "unlock" : "mutex",
+ "run" : 150
+ },
+ "OMXCall" : {
+ "priority" : -2,
+ "loop" : -1,
+ "lock" : "mutex",
+ "wait" : { "ref" : "queue", "mutex": "mutex" },
+ "unlock" : "mutex",
+ "run" : 300,
+ "lock" : "mutex",
+ "signal" : "queue",
+ "unlock" : "mutex"
+ }
+ },
+ "global" : {
+ "default_policy" : "SCHED_OTHER",
+ "duration" : __DURATION__,
+ "ftrace" : false,
+ "gnuplot" : false,
+ "logdir" : "__LOGDIR__",
+ "log_basename" : "mp3",
+ "lock_pages" : true,
+ "frag" : 1,
+ "calibration" : __PVALUE__
+ }
+}
diff --git a/init_env b/init_env
new file mode 100644
index 0000000..d5119ab
--- /dev/null
+++ b/init_env
@@ -0,0 +1,37 @@
+#
+# SPDX-License-Identifier: Apache-2.0
+#
+# Copyright (C) 2015, ARM Limited and contributors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License"); you may
+# not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
+# WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#
+
+# LISA Shell: Initialization
+grep "bash" /proc/$$/cmdline &>/dev/null
+if [ $? -eq 0 ]; then
+ source ./src/shell/lisa_shell
+else
+ echo "WARNING: Current shell is not a BASH"
+ # Check if a bash shell is available
+ which bash &>/dev/null
+ if [ $? -eq 0 ]; then
+ # Switch to a BASH shell
+ exec bash --init-file ./init_env
+ else
+ echo "ERROR: A BASH shell is not available in PATH"
+ fi
+ # It's up to the user to install a BASH
+ echo "The LISA shell requires a BASH shell."
+ echo "Please, source this configuration from a terminal running BASH."
+fi
+
diff --git a/install_base_ubuntu.sh b/install_base_ubuntu.sh
new file mode 100755
index 0000000..a713753
--- /dev/null
+++ b/install_base_ubuntu.sh
@@ -0,0 +1,64 @@
+#!/usr/bin/env bash
+
+# Script to install the depenencies for LISA on an Ubuntu-like system.
+
+# This is intended to be used for setting up containers and virtual machines to
+# run LISA (e.g. for CI infrastructure or for Vagrant installation). However for
+# the brave, it could be used to set up LISA directly on a real machine.
+
+SCRIPT_DIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" && pwd )"
+
+usage() {
+ echo Usage: "$0" [--install-android-sdk]
+}
+
+set -eu
+
+install_android_sdk=n
+
+for arg in "$@"; do
+ if [ "$arg" == "--install-android-sdk" ]; then
+ install_android_sdk=y
+ else
+ echo "Unrecognised argument: $arg"
+ usage
+ exit 1
+ fi
+done
+
+apt-get update
+
+apt-get -y remove ipython ipython-notebook
+
+apt-get -y install build-essential autoconf automake libtool pkg-config \
+ trace-cmd sshpass kernelshark nmap net-tools tree python-matplotlib \
+ python-numpy libfreetype6-dev libpng12-dev python-nose python-pip \
+ python-dev iputils-ping git wget expect
+
+# Upgrade pip so we can use wheel packages instead of compiling stuff, this is
+# much faster.
+pip install --upgrade pip
+
+# Incantation to fix broken pip packages
+/usr/local/bin/pip install --upgrade packaging appdirs
+
+# Use IPython 5.x because 6.0+ only supports Python 3.3
+/usr/local/bin/pip install --upgrade "ipython<6.0.0" Cython trappy bart-py devlib psutil wrapt jupyter
+
+if [ "$install_android_sdk" == y ]; then
+ apt-get -y install openjdk-7-jre openjdk-7-jdk
+ ANDROID_SDK_URL="https://dl.google.com/android/android-sdk_r24.4.1-linux.tgz"
+ mkdir -p "$SCRIPT_DIR"/tools
+ if [ ! -e "$SCRIPT_DIR"/tools/android-sdk-linux ]; then
+ echo "Downloading Android SDK [$ANDROID_SDK_URL]..."
+ wget -qO- $ANDROID_SDK_URL | tar xz -C $SCRIPT_DIR/tools/
+ expect -c "
+ set timeout -1;
+ spawn $SCRIPT_DIR/tools/android-sdk-linux/tools/android update sdk --no-ui
+ expect {
+ \"Do you accept the license\" { exp_send \"y\r\" ; exp_continue }
+ eof
+ }
+ "
+ fi
+fi
diff --git a/ipynb/chromeos/ChromeOS_TestThat.ipynb b/ipynb/chromeos/ChromeOS_TestThat.ipynb
new file mode 100644
index 0000000..3b55766
--- /dev/null
+++ b/ipynb/chromeos/ChromeOS_TestThat.ipynb
@@ -0,0 +1,724 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Run Tests on ChromeOS using `test_that`"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook shows how to run tests on a Chromebook using `test_that`. At the end of the test results are collected as a dictionary as well as trace events if you specify so in the target configuration.\n",
+ "\n",
+ "**NOTE**: if you want to receive a token from the benchmark before starting trace collection and power measurement, you need to modify the benchmark such that a specific UDP packet is sent to the host machine. As a reference, consider the following python script and convert it to the language in which the benchmark is written accordingly:\n",
+ "\n",
+ "```python\n",
+ "import socket\n",
+ "sock = socket.socket(socket.AF_INET, socket.SOCK_DGRAM)\n",
+ "sock.sendto(\"POWER\", (<TARGET_IP>, 1234))\n",
+ "sock.close()\n",
+ "```\n",
+ "\n",
+ "You should put this right before the instruction that starts the execution of the actual workload in the benchmark.\n",
+ "\n",
+ "\n",
+ "In case of Acquarium, you should put this in\n",
+ "\n",
+ "```shell\n",
+ "<CROS_PATH>/trunk/src/third_party/autotest/files/client/site_tests/graphics_WebGLAquarium/graphics_WebGLAcquarium.py:run_fish_test()\n",
+ "```\n",
+ "\n",
+ "Being `CROS_PATH` the ChromeOS chroot."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import logging\n",
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import getpass\n",
+ "from subprocess import Popen, PIPE\n",
+ "\n",
+ "import os\n",
+ "import pandas as pd\n",
+ "import scipy.integrate as integrate\n",
+ "import re\n",
+ "import json\n",
+ "\n",
+ "# Support to access the remote target\n",
+ "import devlib\n",
+ "from env import TestEnv\n",
+ "\n",
+ "import trappy\n",
+ "\n",
+ "import socket\n",
+ "\n",
+ "from time import sleep\n",
+ "\n",
+ "import netifaces as ni"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Target Configuration"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "# Define your path to the ChromeOS installation folder\n",
+ "CROS_BASE = \"/data/chromiumos\""
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "# Setup a target configuration\n",
+ "my_conf = {\n",
+ " \n",
+ " # Target platform and board\n",
+ " \"platform\" : 'linux',\n",
+ " \n",
+ " # Target board IP/MAC address\n",
+ " \"host\" : '192.168.0.1',\n",
+ " \n",
+ " # Login credentials\n",
+ " \"username\" : 'root',\n",
+ " \"password\" : 'test0000',\n",
+ " \n",
+ " # Tools required by the experiments\n",
+ " \"tools\" : [ 'trace-cmd' ], \n",
+ " \n",
+ " # FTrace events to collect for all the tests configuration which have\n",
+ " # the \"ftrace\" flag enabled\n",
+ " \"ftrace\" : {\n",
+ " \"events\" : [\n",
+ " \"cpu_frequency\",\n",
+ " \"cpu_idle\",\n",
+ " \"sched_switch\"\n",
+ " ],\n",
+ " \"buffsize\" : 10 * 1024,\n",
+ " },\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-04-27 11:06:35,781 INFO : Target - Using base path: /home/pippo/work/lisa\n",
+ "2016-04-27 11:06:35,782 INFO : Target - Loading custom (inline) target configuration\n",
+ "2016-04-27 11:06:35,782 DEBUG : Target - Target configuration {'username': 'root', 'ftrace': {'buffsize': 10240, 'events': ['cpu_frequency', 'cpu_idle', 'sched_switch']}, 'platform': 'linux', 'host': '192.168.0.1', 'board': 'oak', 'password': 'test0000', 'tools': ['trace-cmd']}\n",
+ "2016-04-27 11:06:35,783 INFO : Target - Devlib modules to load: ['bl', 'cpufreq']\n",
+ "2016-04-27 11:06:35,783 INFO : Target - Connecting linux target:\n",
+ "2016-04-27 11:06:35,784 INFO : Target - username : root\n",
+ "2016-04-27 11:06:35,785 INFO : Target - host : 192.168.0.1\n",
+ "2016-04-27 11:06:35,785 INFO : Target - password : test0000\n",
+ "2016-04-27 11:06:35,786 DEBUG : Target - Setup LINUX target...\n",
+ "2016-04-27 11:06:35,795 DEBUG : Logging in root@192.168.0.1\n",
+ "2016-04-27 11:06:37,318 DEBUG : id\n",
+ "2016-04-27 11:06:37,727 DEBUG : if [ -e '/root/devlib-target/bin' ]; then echo 1; else echo 0; fi\n",
+ "2016-04-27 11:06:38,133 DEBUG : ls -1 /root/devlib-target/bin\n",
+ "2016-04-27 11:06:38,541 DEBUG : cat /proc/cpuinfo\n",
+ "2016-04-27 11:06:38,851 DEBUG : Installing module bl\n",
+ "2016-04-27 11:06:38,952 DEBUG : /root/devlib-target/bin/busybox uname -m\n",
+ "2016-04-27 11:06:39,359 DEBUG : if [ -e '/sys/devices/system/cpu/cpufreq' ]; then echo 1; else echo 0; fi\n",
+ "2016-04-27 11:06:39,665 DEBUG : Installing module cpufreq\n",
+ "2016-04-27 11:06:39,666 DEBUG : Target - Checking target connection...\n",
+ "2016-04-27 11:06:39,666 DEBUG : Target - Target info:\n",
+ "2016-04-27 11:06:39,667 DEBUG : Target - ABI: arm64\n",
+ "2016-04-27 11:06:39,668 DEBUG : Target - CPUs: CpuInfo(['A53', 'A53', 'A72', 'A72'])\n",
+ "2016-04-27 11:06:39,668 DEBUG : Target - Clusters: [0, 0, 1, 1]\n",
+ "2016-04-27 11:06:39,770 DEBUG : sudo -- sh -c 'mount -o remount,rw /'\n",
+ "2016-04-27 11:06:40,574 INFO : Target - Initializing target workdir:\n",
+ "2016-04-27 11:06:40,575 INFO : Target - /root/devlib-target\n",
+ "2016-04-27 11:06:40,676 DEBUG : mkdir -p /root/devlib-target\n",
+ "2016-04-27 11:06:41,085 DEBUG : mkdir -p /root/devlib-target/bin\n",
+ "2016-04-27 11:06:41,393 DEBUG : /usr/bin/scp -r /home/pippo/work/lisa/libs/devlib/devlib/bin/arm64/busybox root@192.168.0.1:/root/devlib-target/bin/busybox\n",
+ "2016-04-27 11:06:41,804 DEBUG : chmod a+x /root/devlib-target/bin/busybox\n",
+ "2016-04-27 11:06:42,112 DEBUG : /usr/bin/scp -r /home/pippo/work/lisa/libs/devlib/devlib/bin/scripts/shutils root@192.168.0.1:/root/devlib-target/bin/shutils\n",
+ "2016-04-27 11:06:42,360 DEBUG : chmod a+x /root/devlib-target/bin/shutils\n",
+ "2016-04-27 11:06:42,668 DEBUG : /usr/bin/scp -r /home/pippo/work/lisa/tools/arm64/trace-cmd root@192.168.0.1:/root/devlib-target/bin/trace-cmd\n",
+ "2016-04-27 11:06:42,976 DEBUG : chmod a+x /root/devlib-target/bin/trace-cmd\n",
+ "2016-04-27 11:06:43,285 DEBUG : Target - Check for module [bl]...\n",
+ "2016-04-27 11:06:43,286 DEBUG : Target - Check for module [cpufreq]...\n",
+ "2016-04-27 11:06:43,287 INFO : Target - Topology:\n",
+ "2016-04-27 11:06:43,287 INFO : Target - [[0, 1], [2, 3]]\n",
+ "2016-04-27 11:06:43,389 DEBUG : sudo -- sh -c 'cat '\\''/sys/devices/system/cpu/online'\\'''\n",
+ "2016-04-27 11:06:44,293 DEBUG : cat /sys/devices/system/cpu/cpu0/cpufreq/scaling_available_frequencies\n",
+ "2016-04-27 11:06:44,702 DEBUG : sudo -- sh -c 'cat '\\''/sys/devices/system/cpu/online'\\'''\n",
+ "2016-04-27 11:06:45,606 DEBUG : cat /sys/devices/system/cpu/cpu2/cpufreq/scaling_available_frequencies\n",
+ "2016-04-27 11:06:45,914 DEBUG : Platform - Trying to load default EM from /home/pippo/work/lisa/libs/utils/platforms/oak.json\n",
+ "2016-04-27 11:06:45,915 DEBUG : Platform - Platform descriptor initialized\n",
+ "{'nrg_model': None, 'clusters': {'big': [2, 3], 'little': [0, 1]}, 'cpus_count': 4, 'freqs': {'big': [507000, 702000, 1001000, 1209000, 1404000, 1612000, 1807000, 2106000], 'little': [507000, 702000, 1001000, 1105000, 1209000, 1300000, 1508000, 1703000]}, 'topology': [[0, 1], [2, 3]]}\n",
+ "2016-04-27 11:06:45,932 DEBUG : /usr/bin/scp -r /home/pippo/work/lisa/libs/devlib/devlib/bin/arm64/trace-cmd root@192.168.0.1:/root/devlib-target/bin/trace-cmd\n",
+ "2016-04-27 11:06:46,296 DEBUG : chmod a+x /root/devlib-target/bin/trace-cmd\n",
+ "2016-04-27 11:06:46,704 DEBUG : cat /sys/kernel/debug/tracing/available_events\n",
+ "2016-04-27 11:06:47,036 INFO : FTrace - Enabled tracepoints:\n",
+ "2016-04-27 11:06:47,037 INFO : FTrace - cpu_frequency\n",
+ "2016-04-27 11:06:47,038 INFO : FTrace - cpu_idle\n",
+ "2016-04-27 11:06:47,038 INFO : FTrace - sched_switch\n",
+ "2016-04-27 11:06:47,039 DEBUG : No RT-App workloads, skipping calibration\n",
+ "2016-04-27 11:06:47,040 INFO : TestEnv - Set results folder to:\n",
+ "2016-04-27 11:06:47,040 INFO : TestEnv - /home/pippo/work/lisa/results/20160427_110647\n",
+ "2016-04-27 11:06:47,040 INFO : TestEnv - Experiment results available also in:\n",
+ "2016-04-27 11:06:47,041 INFO : TestEnv - /home/pippo/work/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "# the provided target configuration (my_conf)\n",
+ "te = TestEnv(my_conf)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def get_host_ip():\n",
+ " \"\"\"Returns the IP of the local host\"\"\"\n",
+ " ifs = ni.interfaces()\n",
+ " for interface in ifs:\n",
+ " if interface == 'lo':\n",
+ " continue\n",
+ "\n",
+ " addresses = ni.ifaddresses(interface)\n",
+ " if addresses.has_key(socket.AF_INET):\n",
+ " return addresses[socket.AF_INET][0]['addr']\n",
+ "\n",
+ "HOST_IP = get_host_ip()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Set ChromeOS paths"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "CROS_SDK_BIN_PATH = CROS_BASE + \"/chromium/tools/depot_tools/cros_sdk\"\n",
+ "username = !id -un\n",
+ "CROS_PATH = CROS_BASE + \"/chroot/home/\" + username[0]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Test-specific Parser Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def parse_graphics_WebGLAquarium(results_dir):\n",
+ " results_file = os.path.join(\n",
+ " CROS_PATH,\n",
+ " os.path.basename(results_dir),\n",
+ " 'results-1-graphics_WebGLAquarium/graphics_WebGLAquarium/results/keyval'\n",
+ " )\n",
+ " \n",
+ " data = {}\n",
+ " with open(results_file) as data_file:\n",
+ " for line in data_file:\n",
+ " if line.strip():\n",
+ " key, val = line.split('=')\n",
+ " data[key] = float(val)\n",
+ " \n",
+ " return data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "parse_results = {\n",
+ " # Acquarium\n",
+ " 'graphics_WebGLAquarium' : parse_graphics_WebGLAquarium\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Run a Test"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [],
+ "source": [
+ "def CrosSdkSession(password):\n",
+ " \"\"\"\n",
+ " Create cros_sdk session. The user will be asked to type his password.\n",
+ " \n",
+ " :param password: host machine password\n",
+ " :type password: str\n",
+ " \"\"\"\n",
+ " cros_sdk_session = Popen(['sudo -Sk {}'.format(CROS_SDK_BIN_PATH)],\n",
+ " bufsize=1,\n",
+ " stdin=PIPE,\n",
+ " stdout=PIPE,\n",
+ " stderr=PIPE,\n",
+ " cwd=CROS_PATH,\n",
+ " shell=True)\n",
+ " cros_sdk_session.stdin.write(password)\n",
+ " cros_sdk_session.stdin.write('\\n')\n",
+ " return cros_sdk_session\n",
+ "\n",
+ "def test_that(password, te, test, pwr_time_s, get_token=False):\n",
+ " \"\"\"\n",
+ " Run a specific test using the test_that command.\n",
+ " \n",
+ " :param password: host machine password\n",
+ " :type password: str\n",
+ " \n",
+ " :param te: Test Environment object\n",
+ " :type te: env.TestEnv\n",
+ " \n",
+ " :param test: name of the test to be run\n",
+ " :type test: str\n",
+ " \n",
+ " :param pwr_time_s: power measurement duration in seconds\n",
+ " :type pwr_time_s: int\n",
+ " \n",
+ " :param get_token: if True wait for token before collecting traces\n",
+ " :type get_token: bool\n",
+ " \"\"\"\n",
+ " \n",
+ " results_dir = \"~/results-dir\"\n",
+ " pwr_file = \"~/power.txt\"\n",
+ " \n",
+ " test_cmd = 'test_that -b oak {} --results_dir {} {}\\n'.format(te.ip,\n",
+ " results_dir,\n",
+ " test)\n",
+ " pwr_cmd = 'dut-control -t {} -y dvfs1_mw dvfs2_mw > {}\\n'.format(pwr_time_s,\n",
+ " pwr_file)\n",
+ " \n",
+ " # Create cros_sdk session\n",
+ " cros_sdk_session = CrosSdkSession(password)\n",
+ " \n",
+ " logging.info('#### Start %s execution', test)\n",
+ " cros_sdk_session.stdin.write(test_cmd)\n",
+ " \n",
+ " if get_token:\n",
+ " # Setup socket to get token from target\n",
+ " sock = socket.socket(socket.AF_INET, socket.SOCK_DGRAM)\n",
+ " sock.bind((HOST_IP, 1234))\n",
+ " logging.debug(' Waiting for token...')\n",
+ " while True:\n",
+ " data, addr = sock.recvfrom(32)\n",
+ " if addr[0] == te.ip and data == \"POWER\":\n",
+ " break\n",
+ " sock.close() \n",
+ " logging.debug(' Token received....')\n",
+ " \n",
+ " logging.debug(' Start trace collection')\n",
+ " # Check if trace events need to be collected\n",
+ " if te.ftrace:\n",
+ " te.ftrace.start()\n",
+ " \n",
+ " sleep(5)\n",
+ " # Start measuring power\n",
+ " cros_sdk_session.stdin.write(pwr_cmd)\n",
+ " \n",
+ " # communicate will close the session when the command terminates\n",
+ " cros_sdk_session.communicate()\n",
+ " logging.info('#### Completed %s execution', test)\n",
+ " \n",
+ " if te.ftrace:\n",
+ " te.ftrace.stop()\n",
+ " te.ftrace.get_trace(os.path.join(te.res_dir, 'trace.dat'))\n",
+ " \n",
+ " # Parse results using test-specific parser\n",
+ " results = parse_results[test](results_dir)\n",
+ " \n",
+ " # Copy results to our Test Environment results directory\n",
+ " with open(os.path.join(te.res_dir, 'results.json'), 'w') as outfile:\n",
+ " json.dumps(results, outfile)\n",
+ " \n",
+ " return {\n",
+ " \"results\" : results,\n",
+ " \"pwr_file\" : pwr_file\n",
+ " }"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "········\n"
+ ]
+ }
+ ],
+ "source": [
+ "# ask user for host password\n",
+ "password = getpass.getpass()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-04-27 11:06:53,601 INFO : #### Start graphics_WebGLAquarium execution\n",
+ "2016-04-27 11:06:53,603 DEBUG : Waiting for token...\n",
+ "2016-04-27 11:07:23,040 DEBUG : Token received....\n",
+ "2016-04-27 11:07:23,041 DEBUG : Start trace collection\n",
+ "2016-04-27 11:07:23,142 DEBUG : sudo -- sh -c 'echo 10240 > '\\''/sys/kernel/debug/tracing/buffer_size_kb'\\'''\n",
+ "2016-04-27 11:07:23,845 DEBUG : sudo -- sh -c 'cat '\\''/sys/kernel/debug/tracing/buffer_size_kb'\\'''\n",
+ "2016-04-27 11:07:24,750 DEBUG : sudo -- sh -c '/root/devlib-target/bin/trace-cmd reset'\n",
+ "2016-04-27 11:07:26,170 DEBUG : sudo -- sh -c '/root/devlib-target/bin/trace-cmd start -e cpu_frequency -e cpu_idle -e sched_switch'\n",
+ "2016-04-27 11:07:27,539 DEBUG : sudo -- sh -c 'echo TRACE_MARKER_START > '\\''/sys/kernel/debug/tracing/trace_marker'\\'''\n",
+ "2016-04-27 11:07:28,141 DEBUG : Trace CPUFreq frequencies\n",
+ "2016-04-27 11:07:28,242 DEBUG : sudo -- sh -c '/root/devlib-target/bin/shutils cpufreq_trace_all_frequencies'\n",
+ "2016-04-27 11:08:45,869 INFO : #### Completed graphics_WebGLAquarium execution\n",
+ "2016-04-27 11:08:45,870 DEBUG : Trace CPUFreq frequencies\n",
+ "2016-04-27 11:08:45,971 DEBUG : sudo -- sh -c '/root/devlib-target/bin/shutils cpufreq_trace_all_frequencies'\n",
+ "2016-04-27 11:08:46,875 DEBUG : sudo -- sh -c 'echo TRACE_MARKER_STOP > '\\''/sys/kernel/debug/tracing/trace_marker'\\'''\n",
+ "2016-04-27 11:08:47,578 DEBUG : sudo -- sh -c '/root/devlib-target/bin/trace-cmd stop'\n",
+ "2016-04-27 11:08:48,482 DEBUG : sudo -- sh -c '/root/devlib-target/bin/trace-cmd extract -o /root/devlib-target/trace.dat'\n",
+ "2016-04-27 11:08:50,337 DEBUG : /usr/bin/scp -r root@192.168.0.1:/root/devlib-target/trace.dat /home/pippo/work/lisa/results/20160427_110647/trace.dat\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Run Acquarium and collect results\n",
+ "acquarium_res = test_that(password,\n",
+ " te,\n",
+ " 'graphics_WebGLAquarium',\n",
+ " 10,\n",
+ " get_token=True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>Values</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>avg_render_time_0050_fishes{perf}</th>\n",
+ " <td>0.007754</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>std_render_time_0050_fishes{perf}</th>\n",
+ " <td>0.003022</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>avg_render_time_1000_fishes{perf}</th>\n",
+ " <td>0.015975</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>meminfo_MemUsed{perf}</th>\n",
+ " <td>1052424.000000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>std_interframe_time_1000_fishes{perf}</th>\n",
+ " <td>0.036034</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>avg_fps_1000_fishes{perf}</th>\n",
+ " <td>38.576854</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>std_interframe_time_0050_fishes{perf}</th>\n",
+ " <td>0.029933</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>std_render_time_1000_fishes{perf}</th>\n",
+ " <td>0.002286</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>meminfo_SwapUsed{perf}</th>\n",
+ " <td>0.000000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>avg_interframe_time_1000_fishes{perf}</th>\n",
+ " <td>0.025922</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>avg_interframe_time_0050_fishes{perf}</th>\n",
+ " <td>0.017457</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>avg_fps_0050_fishes{perf}</th>\n",
+ " <td>57.282652</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " Values\n",
+ "avg_render_time_0050_fishes{perf} 0.007754\n",
+ "std_render_time_0050_fishes{perf} 0.003022\n",
+ "avg_render_time_1000_fishes{perf} 0.015975\n",
+ "meminfo_MemUsed{perf} 1052424.000000\n",
+ "std_interframe_time_1000_fishes{perf} 0.036034\n",
+ "avg_fps_1000_fishes{perf} 38.576854\n",
+ "std_interframe_time_0050_fishes{perf} 0.029933\n",
+ "std_render_time_1000_fishes{perf} 0.002286\n",
+ "meminfo_SwapUsed{perf} 0.000000\n",
+ "avg_interframe_time_1000_fishes{perf} 0.025922\n",
+ "avg_interframe_time_0050_fishes{perf} 0.017457\n",
+ "avg_fps_0050_fishes{perf} 57.282652"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Print Acquarium results\n",
+ "df = pd.DataFrame.from_dict(acquarium_res['results'], orient=\"index\")\n",
+ "df.columns = ['Values']\n",
+ "df"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Plot trace data using TRAPpy"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "if te.ftrace:\n",
+ " trappy.plotter.plot_trace(te.res_dir)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Compute Energy"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>Energy [mJ]</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>Total</th>\n",
+ " <td>4573.172353</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>LITTLE Cluster</th>\n",
+ " <td>1574.512282</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>big Cluster</th>\n",
+ " <td>2998.660071</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " Energy [mJ]\n",
+ "Total 4573.172353\n",
+ "LITTLE Cluster 1574.512282\n",
+ "big Cluster 2998.660071"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Collect SERVO trace\n",
+ "servo_trace_file = os.path.join(CROS_PATH,\n",
+ " os.path.basename(acquarium_res['pwr_file']))\n",
+ "time = []\n",
+ "dvfs1_wm = []\n",
+ "dvfs2_wm = []\n",
+ "with open(servo_trace_file, 'r') as f:\n",
+ " for l in f:\n",
+ " if l.startswith(\"@@\"):\n",
+ " continue\n",
+ "\n",
+ " info = re.split(r'[ :]+', l)\n",
+ " if info[1] == \"dvfs1_mw\":\n",
+ " time.append(float(info[0]))\n",
+ " dvfs1_wm.append(float(info[2]))\n",
+ " else:\n",
+ " dvfs2_wm.append(float(info[2]))\n",
+ "\n",
+ "# Create dataframes for power data from SERVO board\n",
+ "big_pwr = pd.DataFrame(dvfs1_wm, index=time, columns=['Power'])\n",
+ "little_pwr = pd.DataFrame(dvfs2_wm, index=time, columns=['Power'])\n",
+ "\n",
+ "x = big_pwr.index.get_values()\n",
+ "y = big_pwr.Power.get_values()\n",
+ "bnrg = integrate.simps(y, x=x)\n",
+ "\n",
+ "x = little_pwr.index.get_values()\n",
+ "y = little_pwr.Power.get_values()\n",
+ "lnrg = integrate.simps(y, x=x)\n",
+ "results = {\n",
+ " 'big Cluster' : bnrg,\n",
+ " 'LITTLE Cluster' : lnrg,\n",
+ " 'Total' : bnrg + lnrg,\n",
+ "}\n",
+ "\n",
+ "df = pd.DataFrame.from_dict(results, orient=\"index\")\n",
+ "df.columns = ['Energy [mJ]']\n",
+ "df"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ },
+ "toc": {
+ "toc_cell": false,
+ "toc_number_sections": true,
+ "toc_threshold": 6,
+ "toc_window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/ipynb/energy/EnergyModel_ClusterEnergy.ipynb b/ipynb/energy/EnergyModel_ClusterEnergy.ipynb
new file mode 100644
index 0000000..9fdf827
--- /dev/null
+++ b/ipynb/energy/EnergyModel_ClusterEnergy.ipynb
@@ -0,0 +1,1692 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<center>\n",
+ "<h1>Energy Model Building Flow - Example 1</h1>\n",
+ "<h2>for platforms supporting per-cluster energy meters</h2>\n",
+ "</center>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook shows how to build an energy model of a JUNO platform running a Linux kernel.\n",
+ "\n",
+ "It can be used as a reference implementation of an energy model building flow for platforms<br>\n",
+ "where it's possible to measure the energy consumption of each frequency domain.\n",
+ "\n",
+ "For JUNO, Linux kernel Hardware monitors will be used to measure energy.<br>\n",
+ "Hardware monitors measure energy in microJoule [$\\mu$J]."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import logging\n",
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline\n",
+ "\n",
+ "import devlib\n",
+ "import json\n",
+ "import matplotlib.pyplot as plt\n",
+ "import numpy as np\n",
+ "import os\n",
+ "import pandas as pd\n",
+ "import re\n",
+ "import trappy\n",
+ "\n",
+ "from collections import namedtuple, OrderedDict\n",
+ "from csv import DictWriter\n",
+ "from devlib.utils.misc import ranges_to_list\n",
+ "from env import TestEnv\n",
+ "from matplotlib.ticker import FormatStrFormatter, MaxNLocator\n",
+ "from scipy.stats import linregress\n",
+ "from time import sleep\n",
+ "from trappy.plotter.ColorMap import ColorMap"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Configuration"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "# Setup a target configuration\n",
+ "my_conf = {\n",
+ " \n",
+ " # Target platform and board\n",
+ " \"platform\" : 'linux',\n",
+ " \"board\" : 'juno',\n",
+ " \n",
+ " # Target board IP/MAC address\n",
+ " \"host\" : '10.1.211.18',\n",
+ " \n",
+ " # Login credentials\n",
+ " \"username\" : 'root',\n",
+ " \"password\" : '',\n",
+ " \n",
+ " # Tools required by the experiments\n",
+ " \"tools\" : ['trace-cmd'],\n",
+ " \"modules\" : ['hwmon', 'bl', 'cpufreq', 'cpuidle', 'hotplug', 'cgroups'],\n",
+ " \n",
+ " # Energy meters description\n",
+ " \"emeter\" : {\n",
+ " 'instrument' : 'hwmon',\n",
+ " 'conf' : {\n",
+ " 'sites' : [ 'BOARDLITTLE', 'BOARDBIG' ],\n",
+ " 'kinds' : [ 'energy' ],\n",
+ " },\n",
+ " 'channel_map' : {\n",
+ " 'little' : 'BOARDLITTLE',\n",
+ " 'big' : 'BOARDBIG',\n",
+ " }\n",
+ " },\n",
+ " \n",
+ " # FTrace events to collect for all the tests configuration which have\n",
+ " # the \"ftrace\" flag enabled\n",
+ " \"ftrace\" : {\n",
+ " \"events\" : [\n",
+ " \"cpu_frequency\",\n",
+ " \"cpu_idle\",\n",
+ " \"sched_switch\"\n",
+ " ],\n",
+ " \"buffsize\" : 10 * 1024,\n",
+ " },\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-09-08 19:27:12,272 INFO : Target - Using base path: /data/lisa\n",
+ "2016-09-08 19:27:12,273 INFO : Target - Loading custom (inline) target configuration\n",
+ "2016-09-08 19:27:12,274 INFO : Target - Devlib modules to load: ['cgroups', 'hwmon', 'cpufreq', 'bl', 'hotplug', 'cpuidle']\n",
+ "2016-09-08 19:27:12,275 INFO : Target - Connecting linux target:\n",
+ "2016-09-08 19:27:12,276 INFO : Target - username : root\n",
+ "2016-09-08 19:27:12,276 INFO : Target - host : 10.1.211.18\n",
+ "2016-09-08 19:27:12,277 INFO : Target - password : \n",
+ "2016-09-08 19:27:12,278 INFO : Target - Connection settings:\n",
+ "2016-09-08 19:27:12,279 INFO : Target - {'username': 'root', 'host': '10.1.211.18', 'password': ''}\n",
+ "2016-09-08 19:27:54,035 INFO : Target - Initializing target workdir:\n",
+ "2016-09-08 19:27:54,037 INFO : Target - /root/devlib-target\n",
+ "2016-09-08 19:28:10,999 INFO : Target - Topology:\n",
+ "2016-09-08 19:28:11,001 INFO : Target - [[0, 3, 4, 5], [1, 2]]\n",
+ "2016-09-08 19:28:12,634 INFO : Platform - Loading default EM:\n",
+ "2016-09-08 19:28:12,636 INFO : Platform - /data/lisa/libs/utils/platforms/juno.json\n",
+ "2016-09-08 19:28:13,839 INFO : FTrace - Enabled tracepoints:\n",
+ "2016-09-08 19:28:13,841 INFO : FTrace - cpu_frequency\n",
+ "2016-09-08 19:28:13,842 INFO : FTrace - cpu_idle\n",
+ "2016-09-08 19:28:13,843 INFO : FTrace - sched_switch\n",
+ "2016-09-08 19:28:13,844 INFO : HWMon - Scanning for HWMON channels, may take some time...\n",
+ "2016-09-08 19:28:13,850 INFO : HWMon - Channels selected for energy sampling:\n",
+ "2016-09-08 19:28:13,851 INFO : HWMon - a57_energy\n",
+ "2016-09-08 19:28:13,852 INFO : HWMon - a53_energy\n",
+ "2016-09-08 19:28:13,853 INFO : TestEnv - Set results folder to:\n",
+ "2016-09-08 19:28:13,854 INFO : TestEnv - /data/lisa/results/20160908_192813\n",
+ "2016-09-08 19:28:13,855 INFO : TestEnv - Experiment results available also in:\n",
+ "2016-09-08 19:28:13,856 INFO : TestEnv - /data/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "# the provided target configuration (my_conf)\n",
+ "te = TestEnv(target_conf=my_conf, force_new=True)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Energy Model Parameters (CPUs, OPPs and Idle States)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "# The EM reports capacity and energy consumption for each frequency domain.\n",
+ "# The frequency domains to be considered by the following EM building flow\n",
+ "# are described by the parameters of this named tuple\n",
+ "ClusterDescription = namedtuple('ClusterDescription',\n",
+ " ['name', 'emeter_ch', 'core_name',\n",
+ " 'cpus', 'freqs', 'idle_states'])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# List of frequency domains (i.e. clusters) to be considered for the EM\n",
+ "clusters = [\n",
+ " ClusterDescription(\n",
+ " # Name of the cluster\n",
+ " name = \"big\",\n",
+ " # Name of the energy meter channel as specified in the target configuration\n",
+ " emeter_ch = \"big\",\n",
+ " # Name of the cores in the cluster\n",
+ " core_name = target.big_core,\n",
+ " # List of cores in the cluster\n",
+ " cpus = target.bl.bigs,\n",
+ " # List of frequencies available in the cluster\n",
+ " freqs = target.bl.list_bigs_frequencies(),\n",
+ " # List of idle states available in the cluster\n",
+ " idle_states = range(len(target.cpuidle.get_states()))\n",
+ " ),\n",
+ " ClusterDescription(\"little\",\n",
+ " \"little\",\n",
+ " target.little_core,\n",
+ " target.bl.littles,\n",
+ " target.bl.list_littles_frequencies(),\n",
+ " range(len(target.cpuidle.get_states()))\n",
+ " )\n",
+ "]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[ClusterDescription(name='big', emeter_ch='big', core_name='A72', cpus=[1, 2], freqs=[600000, 1000000, 1200000], idle_states=[0, 1, 2]),\n",
+ " ClusterDescription(name='little', emeter_ch='little', core_name='A53', cpus=[0, 3, 4, 5], freqs=[450000, 800000, 950000], idle_states=[0, 1, 2])]"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "clusters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Mapping between cluster names and cluster IDs\n",
+ "cluster_ids = OrderedDict([(0, 'little'), (1, 'big')])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Benchmark example"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "class Sysbench(object):\n",
+ " \"\"\"\n",
+ " Sysbench benchmark class.\n",
+ " \n",
+ " :param duration: maximum workload duration in seconds\n",
+ " :type duration: int\n",
+ " \"\"\"\n",
+ " sysbench_path = \"/data/local/tmp/bin/sysbench\"\n",
+ " \n",
+ " def __init__(self, target, duration):\n",
+ " self.target = target\n",
+ " self.duration = duration\n",
+ "\n",
+ " def run(self, cgroup, threads):\n",
+ " \"\"\"\n",
+ " Run benchmark using the specified number of 'threads'\n",
+ " to be executed under the specified 'cgroup'.\n",
+ " \n",
+ " :param cgroup: cgroup where to run the benchmark on\n",
+ " :type cgroup: str\n",
+ " \n",
+ " :param threads: number of threads to spawn\n",
+ " :type threads: int\n",
+ " \n",
+ " :returns: float - performance score\n",
+ " \"\"\"\n",
+ " bench_out = self.target.cgroups.run_into(\n",
+ " cgroup,\n",
+ " \"{} --test=cpu --num-threads={} --max-time={} run\"\n",
+ " .format(self.sysbench_path, threads, self.duration)\n",
+ " )\n",
+ " match = re.search(r'(total number of events:\\s*)([\\d.]*)', bench_out)\n",
+ " return float(match.group(2))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Utility Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def linfit(x, y):\n",
+ " slope, intercept, r, p, stderr = linregress(x, y)\n",
+ " return slope, intercept"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Energy Model Building"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Active States Profiling"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def compute_power_perf(clusters, loop_cnt, benchmark, bkp_file='pstates.csv'):\n",
+ " \"\"\"\n",
+ " Perform P-States profiling on each input cluster.\n",
+ " \n",
+ " This method requires a `benchmark` object with the following\n",
+ " characteristics:\n",
+ " \n",
+ " - duration, attribute that tells the workload duration in seconds\n",
+ " - run(cgroup, threads), run the benchmark into the specified 'cgroup',\n",
+ " spawning the specified number of 'threads',\n",
+ " and return a performance score of their execution.\n",
+ " \n",
+ " Data will be saved into a CSV file at each iteration such that, if something\n",
+ " goes wrong, the user can restart the experiment considering only idle_states\n",
+ " that had not yet been profiled.\n",
+ " \n",
+ " :param clusters: list of clusters to profile\n",
+ " :type clusters: list(namedtuple(ClusterDescription))\n",
+ " \n",
+ " :param loop_cnt: number of iterations for each experiment\n",
+ " :type loop_cnt: int\n",
+ " \n",
+ " :param benchmark: benchmark object\n",
+ " :type benchmark: int\n",
+ " \n",
+ " :param bkp_file: CSV file name\n",
+ " :type bkp_file: str\n",
+ " \"\"\"\n",
+ "\n",
+ " # Make sure all CPUs are online\n",
+ " target.hotplug.online_all()\n",
+ "\n",
+ " # Set cpufreq governor to userpace to allow manual frequency scaling\n",
+ " target.cpufreq.set_all_governors('userspace')\n",
+ "\n",
+ " bkp_file = os.path.join(te.res_dir, bkp_file)\n",
+ " with open(bkp_file, 'w') as csvfile:\n",
+ " writer = DictWriter(csvfile,\n",
+ " fieldnames=['cluster', 'cpus', 'freq',\n",
+ " 'perf', 'energy', 'power'])\n",
+ "\n",
+ " # A) For each cluster (i.e. frequency domain) to profile...\n",
+ " power_perf = []\n",
+ " for cl in clusters:\n",
+ " target_cg, _ = target.cgroups.isolate(cl.cpus)\n",
+ "\n",
+ " # P-States profiling requires to plug in CPUs one at the time\n",
+ " for cpu in cl.cpus:\n",
+ " target.hotplug.offline(cpu)\n",
+ "\n",
+ " # B) For each additional cluster's plugged in CPU...\n",
+ " on_cpus = []\n",
+ " for cnt, cpu in enumerate(cl.cpus):\n",
+ "\n",
+ " # Hotplug ON one more CPU\n",
+ " target.hotplug.online(cpu)\n",
+ " on_cpus.append(cpu)\n",
+ " \n",
+ " # Ensure online CPUs are part of the target cgroup\n",
+ " # (in case hotplug OFF removes it)\n",
+ " target_cg.set(cpus=on_cpus)\n",
+ " cl_cpus = set(target.list_online_cpus()).intersection(set(cl.cpus))\n",
+ " logging.info('Cluster {:8} (Online CPUs : {})'\\\n",
+ " .format(cl.name, list(cl_cpus)))\n",
+ "\n",
+ " # C) For each OPP supported by the current cluster\n",
+ " for freq in cl.freqs:\n",
+ " \n",
+ " # Set frequency to freq for current CPUs\n",
+ " target.cpufreq.set_frequency(cpu, freq)\n",
+ "\n",
+ " # Run the benchmark for the specified number of iterations each time\n",
+ " # collecting a sample of energy consumption and reported performance\n",
+ " energy = 0\n",
+ " perf = 0\n",
+ " for i in xrange(loop_cnt):\n",
+ " te.emeter.reset()\n",
+ " # Run benchmark into the target cgroup\n",
+ " perf += benchmark.run(target_cg.name, cnt + 1)\n",
+ " nrg = te.emeter.report(te.res_dir).channels\n",
+ " energy += nrg[cl.emeter_ch]\n",
+ " sleep(10)\n",
+ "\n",
+ " # Compute average energy and performance for the current number of\n",
+ " # active CPUs all running at the current OPP\n",
+ " perf = perf / loop_cnt\n",
+ " energy = energy / loop_cnt\n",
+ " power = energy / benchmark.duration\n",
+ " logging.info(' avg_prf: {:7.3}, avg_pwr: {:7.3}'\n",
+ " .format(perf, power))\n",
+ "\n",
+ " # Keep track of this new P-State profiling point\n",
+ " new_row = {'cluster': cl.name,\n",
+ " 'cpus': cnt + 1,\n",
+ " 'freq': freq,\n",
+ " 'perf': perf,\n",
+ " 'energy' : energy,\n",
+ " 'power': power}\n",
+ " power_perf.append(new_row)\n",
+ "\n",
+ " # Save data in a CSV file\n",
+ " writer.writerow(new_row)\n",
+ " \n",
+ " # C) profile next P-State\n",
+ "\n",
+ " # B) add one more CPU (for the current frequency domain)\n",
+ "\n",
+ " # A) Profile next cluster (i.e. frequency domain)\n",
+ "\n",
+ " target.hotplug.online_all()\n",
+ "\n",
+ " power_perf_df = pd.DataFrame(power_perf)\n",
+ " \n",
+ " return power_perf_df.set_index(['cluster', 'freq', 'cpus'])\\\n",
+ " .sort_index(level='cluster')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-09-08 19:28:35,671 INFO : Cluster big - Online CPUs : set([1])\n",
+ "2016-09-08 19:34:11,966 INFO : Cluster big - Online CPUs : set([1, 2])\n",
+ "2016-09-08 19:39:55,727 INFO : Cluster little - Online CPUs : set([0])\n",
+ "2016-09-08 19:45:32,850 INFO : Cluster little - Online CPUs : set([0, 3])\n",
+ "2016-09-08 19:51:09,860 INFO : Cluster little - Online CPUs : set([0, 3, 4])\n",
+ "2016-09-08 19:56:46,850 INFO : Cluster little - Online CPUs : set([0, 3, 4, 5])\n"
+ ]
+ }
+ ],
+ "source": [
+ "sysbench = Sysbench(target, 10)\n",
+ "loop_cnt = 5\n",
+ "\n",
+ "power_perf_df = compute_power_perf(clusters, loop_cnt, sysbench)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def plot_pstates(power_perf_df, cluster):\n",
+ " \"\"\"\n",
+ " Plot P-States profiling for the specified cluster.\n",
+ " \n",
+ " :param power_perf_df: DataFrame reporting power and performance values\n",
+ " :type power_perf_df: :mod:`pandas.DataFrame`\n",
+ " \n",
+ " :param cluster: cluster description\n",
+ " :type cluster: namedtuple(ClusterDescription)\n",
+ " \"\"\"\n",
+ " cmap = ColorMap(len(cluster.freqs))\n",
+ " color_map = map(cmap.cmap, range(len(cluster.freqs)))\n",
+ " color_map = dict(zip(cluster.freqs, color_map))\n",
+ " \n",
+ " fig, ax = plt.subplots(1, 1, figsize=(16, 10))\n",
+ " \n",
+ " grouped = power_perf_df.loc[cluster.name].groupby(level='freq')\n",
+ " for freq, df in grouped:\n",
+ " x = df.index.get_level_values('cpus').tolist()\n",
+ " y = df.power.tolist()\n",
+ " slope, intercept = linfit(x, y)\n",
+ " x.insert(0, 0)\n",
+ " y.insert(0, intercept)\n",
+ " # Plot linear fit of the points\n",
+ " ax.plot(x, [slope*i + intercept for i in x], color=color_map[freq])\n",
+ " # Plot measured points\n",
+ " ax.scatter(x, y, color=color_map[freq], label='{} kHz'.format(freq))\n",
+ "\n",
+ " ax.set_title('JUNO {} cluster P-States profiling'.format(cluster.name),\n",
+ " fontsize=16)\n",
+ " ax.legend()\n",
+ " ax.set_xlabel('Active cores')\n",
+ " ax.set_ylabel('Power [$\\mu$W]')\n",
+ " ax.set_xlim(-0.5, len(cluster.cpus)+1)\n",
+ " ax.xaxis.set_major_locator(MaxNLocator(integer=True))\n",
+ " ax.yaxis.set_major_formatter(FormatStrFormatter('%.2f'))\n",
+ " ax.grid(True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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EM4/2uI5kWXTx7k08bW3/dleSJEmStAmyPSP8A6A1MCnzDL7dgPdCCD8qc1fTWcAeJbZ3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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f1d8955cd10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "big_cl = clusters[0]\n",
+ "plot_pstates(power_perf_df, big_cl)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Gya4kSZKkgvc4E2hOc+pTn1rU5hqGchRHF7fXoAYP8DAf8ilz+JDJvEgjti3r\nPZT2HEoH9mEfAPZhHw6lA4fSvsJjaNasGS1btuTee+9ly5YtrFixgv/93/8trpU9/fTTmTlzJn/9\n61/ZsGEDI0aMoEuXLhx00EEAnHvuuYwcOZJFixaxcOFCRo4cyfnnnw/AQQcdRJcuXRgxYgQbNmxg\n/PjxvPXWW/Tp0weAfv36MWHCBKZOncratWsZNmwYffr0Ka7xPeecc7jppptYsWIFs2fP5oEHHig+\nd1mOPfZYxowZQ58+fZg2bVqF78PQoUNZt24do0aNqnCfnRJjLLhfyWVJkiRJqm52lAt8Fj+L78S3\n45K4ZKfOvSauiYPjoHhSPC4OjoPimrim0ud45ZVX4jHHHBMbN24cmzdvHs8666z46aefFrc/99xz\n8ZBDDol169aNPXr0iPPnz9+u/+DBg2PTpk3jvvvuG4cMGbJd2/z582P37t1jnTp14iGHHBInTZq0\nXfsf//jH2Lp161i/fv14+umnx+XLlxe3bdiwIV5wwQWxYcOGcf/994+jRo0q8xomT54cDzzwwOLt\nv/3tb3H//fePr7/++ufaturRo0d88MEHY4wxtm3bNtapUyc2aNAg1q9fPzZo0CCOHTv2c33K+i4z\n+8vNC0NybGEJIcRCvC5JkiRJOxZCwFygMJT1XWb2l7t+3GXMyipf6zFUWIxDpYFxqLQwFpUGxqHy\nicmuJEmSJKnguIxZkiRJUsFwGXPhcBmzJEmSJEmlmOwqK+sxlAbGodLAOFRaGItKA+NQ+cRkV5Ik\nSZJUcKzZlSRJklQwrNktHNbsSpIkSZJUismusrIeQ2lgHCoNjEOlhbGoNDAOBTBlyhQOPPDAXA+j\nXCa7kiRJkrSHvP322/Ts2ZPGjRtz8MEH88QTTxS3zZ8/nxo1atCwYUMaNGhAw4YNufnmm7frP3jw\nYJo1a0bz5s0ZMmTIdm3z58/nuOOOo169erRv357nnntuu/axY8fStm1bGjRoQO/evVmxYkVx28aN\nG7ngggto1KgRLVu25I477tjhdYSQfRVxWYlwjx49eOihh3Z4zt3NZFdZde/ePddDkIxDpYJxqLQw\nFpUGhR6HGzfCpBfg6YmwcuXuP/+WLVs49dRT6dWrF8uXL+e+++7j7LPP5r333is+JoTAypUrWb16\nNatWreK6664rbrvvvvt48sknefPNN3njjTeYMGEC999/f3F73759Ofzww1m2bBk33XQTZ5xxBkuX\nLgVg5syVbPNnAAAgAElEQVSZDBgwgDFjxvDJJ59Qp04dBg4cWNx3+PDhzJ07lwULFjBp0iRuu+02\nJk6cuFPXWVYivKeZ7EqSJEmqFpYshef/CbPe/nzb2rVwZE84rR/0/SEc9DWY98Hu/fy3336bjz76\niCuuuIIQAj169KBbt248+uijxcfEGCkqKsraf/To0QwaNIgWLVrQokULrrrqKh555BEA5syZw+uv\nv871119P7dq16d27N506deLxxx8HklndXr160a1bN+rWrcuNN97I+PHjWbt2bfG5hw0bRsOGDTnk\nkEO4+OKLi89dnrvuuouOHTuyaNGiCh3fq1ev4pnrBg0aULNmTUaPHl2hvpVhsqusrMdQGhiHSgPj\nUGlhLCoN8jkOp74M7brA6WfDEcfBwJ9CyQf93v4beOddWL0GVq2Gpcvgkp9sf46VK+GHl8MRPeCi\ny3fP7G+Mkbfeeqt4O4RA27Ztad26NRdccEHxzCwks7OdO3cu3u7cuTMzZ84EYNasWbRr14569epl\nbS/dt127dtSuXZs5c+awYsUKPvroIzp16pS1747ccMMNjB49mhdeeIGWLVtW6JqffPLJ4pnrxx57\njBYtWtCzZ88K9a0Mk11JkiRJBa/PuUkiu3IVrFsPj/4Jnpuyrf2d9+CzDdu2i4q2n9ndvBmO/Tb8\n4U/w7+lJ/2O/neyvqC9/+cvst99+3H777WzevJmJEycyZcoU1q1bB0CzZs2YNm0a8+fP57XXXmP1\n6tX069evuP+aNWto1KhR8XbDhg1Zs2ZN1rat7atXry63fc2aNYQQPnfurX2zKSoqYtCgQTz77LNM\nnjyZpk2bFrctXLiQpk2bFv9q0qQJU6dO/dw55syZw3nnncdjjz1Gq1atyr1/lWWyq6wKvR5D+cE4\nVBoYh0oLY1FpkK9xuGULfLpk+31FEd6bt237mKOgbp1t27VqQdcjtm3PfidJfjdsTLY3bIS5HyT7\nK2qvvfbiiSee4KmnnqJFixbccccdnHXWWRxwwAEA1KtXj8MOO4waNWrQvHlz7r77biZOnFi81Lh+\n/fqsWrWq+HwrV66kfv36Wdu2tjdo0KDc9q3nKH3urX2zWbFiBQ888ADXXnttcf+tWrVqxbJly4p/\nLV++nG7dun3us0877TRuueUWjjrqqPJv3k4w2ZUkSZJU0GrWhDalHhAcAnTqsG17wPlw5umw995Q\nuzYc1gnu+dX2x5dc9gxATPZXRseOHZk8eTKLFy/mmWeeYe7cuRx55JFlHh9CKK7h7dChAzNmzChu\nmz59Oh06dChumzdvXnFiDDBjxozt2kv2nTt3Lps2beLggw+mcePGtGjRYrv2kn2zadq0KU899RT9\n+/fnxRdfrNQ9iDHSr18/evbsyYUXXlipvpVhsqus8rkeQ4XDOFQaGIdKC2NRaZDPcTjhj9C8GdSv\nB7VrwdCfwNFf39ZeowY8/Fv49F348E14cSKUXPXb/hDocCjsUzvZ3qd2st3+kMqN480332TDhg2s\nW7eO22+/nY8//pj+/fsD8OqrrzJnzhxijCxdupQrrriCHj16FM+wnnvuuYwcOZJFixaxcOFCRo4c\nyfnnnw/AQQcdRJcuXRgxYgQbNmxg/PjxvPXWW/Tp0weAfv36MWHCBKZOncratWsZNmwYffr0Ka7x\nPeecc7jppptYsWIFs2fP5oEHHig+d1mOPfZYxowZQ58+fZg2bVqF78HQoUNZt24do0aNqtzNqyST\nXUmSJEkFr2N7WPAW/Pt5WDgbrrsq+3GNG8F+zT8/Y1ujBkz6P7j0h3DcN5LfJ/1fsr8yHn30UVq0\naMH+++/P888/zz/+8Q/23ntvAObNm8dJJ51Ew4YN6dSpE/vssw9jx44t7nvJJZfw3e9+l6985St0\n7tyZXr16cdFFFxW3jxs3jmnTptGkSROuu+46Hn/8cfbdd18A2rdvz7333ssPfvAD9t9/f9avX89v\nf/vb4r4jRoygXbt2tGnThuOOO44hQ4ZwwgknlHs9xx9/PA8++CC9evVi+vTpZR5X8nVE48aN4+WX\nX6ZJkybFT2X+4x//WPGbWEEhfm4uPv+FEGIhXpckSZKkHQshYC5QGMr6LjP7y11A7syuJEmSJKng\nmOwqq3yux1DhMA6VBsah0sJYVBoYh8onJruSJEmSpIJjza4kSZKkgmHNbuGwZleSJEmSpFJMdpWV\n9RhKA+NQaWAcKi2MRaWBcah8sleuByBJkiRJu0ubNm22e6er8lebNm12qb81u5IkSZKkvGHNriRJ\nkiSp2jLZVVbWYygNjEOlgXGotDAWlQbGofKJya4kSZIkqeBYsytJkiRJyhvW7EqSJEmSqi2TXWVl\nPYbSwDhUGhiHSgtjUWlgHCqfmOxKkiRJkgqONbuSJEmSpLxhza4kSZIkqdoy2VVW1mMoDYxDpYFx\nqLQwFpUGxqHyicmuJEmSJKngWLMrSZIkScob1uxKkiRJkqotk11lZT2G0sA4VBoYh0oLY1FpYBwq\nn5jsSpIkSZIKjjW7kiRJkqS8Yc2uJEmSJKnaMtlVVtZjKA2MQ6WBcai0MBaVBsah8onJriRJkiSp\n4FizK0mSJEnKG6mt2Q0hfBBCmBFCeD2E8GoZx9wVQng3hDA9hNClxP6TQghvhxDmhBAG77lRS5Ik\nSZLySS6WMRcB3WOMX40xHlm6MYRwMvDFGONBwCXAvZn9NYC7gROBDkDfEMIhe27Y1Yv1GEoD41Bp\nYBwqLYxFpYFxqHySi2Q3lPO5pwKjAWKMrwCNQgj/AxwJvBtjnB9j3ASMyxwrSZIkqYotXgJvz0l+\nl/LBHq/ZDSHMA1YAW4D7Y4wPlGqfAPwixvhiZvsfwGDgC8CJMcaLM/vPBo6MMV6e5TOs2ZUkSZJ2\nkz/+BS68HGrtDRs3wYO/gb59cj0qVVeprdkFusUYDwNOAS4NIRxTzvHlXoQkSZKkqrF4SZLorl8P\nK1clv1/4Y2d4lX577ekPjDF+lPl9cQjhryTLk/9V4pCFwIEltg/I7KsFtM6yP6v+/fvTtm1bABo3\nbkyXLl3o3r07sK3WwO2yt6dPn86VV16ZmvG4XT23S9YFpWE8blfPbf8+dDst26NGjfLfM27nZPuD\nDyFunAybSOzdnbB5Mo+PhwEX5358bhf+9qhRo5g+fXpxfldRe3QZcwihLlAjxrgmhFAPmAiMiDFO\nLHHMKcClMcZvhxC6AqNijF1DCDWBd4CewEfAq0DfGOPsLJ/jMuZdNHny5OLgknLFOFQaGIdKC2NR\nubB0GVx5Lfzhz5kdmybD3t2pUwfmvwHNm+VydKquKrqMeU8nu18A/gpEklnlMTHGW0MIlwAxxnh/\n5ri7gZOAtcD5Mcb/ZPafBNxJsvz6wRjjrWV8jsmuJEmStJOKiuDhMTD0RjjrdOjcEX48GPbeCzZt\ntmZXuZXKZHdPMdmVJEmSds70N+FHg6Aowu9+DV/tlOxfvAQ++BDatnZGV7mV5gdUKQ9sXScv5ZJx\nqDQwDpUWxqKq2qpVyZLlE/vA+f3gxf+3LdGFJMFdu2qyia7yhsmuJEmSVI3FmLxa6NCusGYtzHwJ\nLjoPapgpKM+5jFmSJEmqpt6eA5denTyI6p7b4eiv53pEUvlcxixJkiQpq3XrYOgNcMzJ0Otk+Pfz\nJroqPCa7ysq6IKWBcag0MA6VFsaidpcnn4b2XZOHTb3xL7hiAOy1V8X6GofKJxUMa0mSJEn57P35\ncPlgeHde8uqgnt/M9YikqmXNriRJklTANmyAX/0G7rgHrroMfnop1K6d61FJO6+iNbvO7EqSJEkF\n6h/PJw+gOvRgeG1y8o5cqbqwZldZWY+hNDAOlQbGodLCWFRlLFwEZ10AF18Jv74R/m/s7kl0jUPl\nE5NdSZIkqUBs2gQjfwudvwEHfzF5Z+53T871qKTcsGZXkiRJKgD/egl+dBX8z37w21/BwV/K9Yik\nqmHNriRJklQNLF4C1wyHf0yGkTfB906DUG4aIBU+lzErK+sxlAbGodLAOFRaGIsqbcsWuO9h6HAU\nNG0Cs1+GM0+v2kTXOFQ+cWZXkiRJyjOvTYeBg6DW3vDsX6FTx1yPSEofa3YlSZKkPLFiJfzsJvjL\nk3DrcDj3+1DDtZqqZipas+sfDUmSJCnlYoRHx8GhX4fNm2HWy9D/Bya60o74x0NZWY+hNDAOlQbG\nodLCWKy+Zs6G7t+BUffC/42Be+9IanRzwThUPjHZlSRJklJozRq4Zhh0/y6ceRq8+hwceXiuRyXl\nD2t2JUmSpBSJEcZPgJ8Mhe7HwK9uSN6dKynhe3YlSZKkPPPePPjxNfDhQnj0Pvhmt1yPSMpfLmNW\nVtZjKA2MQ6WBcai0MBYL2/r1cP2t0PUEOO5YmP5COhNd41D5xJldSZIkKYee+Qdcdg18tRO8PgUO\nPCDXI5IKgzW7kiRJUg4s+C9cORRmvAV33wYnHZ/rEUn5wffsSpIkSSm0cSPcdid89ZvQqQO89aKJ\nrlQVTHaVlfUYSgPjUGlgHCotjMXCMGVqkuQ+/0945VkYPhj22SfXo6o441D5xJpdSZIkqYp9/Alc\nPSxJdkf9Ak7/DoRyF2FK2hXW7EqSJElVZMsW+N2DMOI2uKAf/PxqqF8/16OS8pvv2ZUkSZJy6JV/\nw4+uggb1YfIE6HBorkckVS/W7Cor6zGUBsah0sA4VFoYi/lj2XK45Eo47Wz4yUB4voASXeNQ+cRk\nV5IkSdoNiorg4THQvivUqgWzX4Gzz7I2V8oVa3YlSZKkXfTGWzBwEGzeAvfcDod3yfWIpMLle3Yl\nSZKkKrZqFfz0Ojj+dDivL7w00URXSguTXWVlPYbSwDhUGhiHSgtjMV1ihHGPQ/ujYMVKmPkSXNwf\nahT4v66NQ+UTn8YsSZIkVcI778KlV8Oni+FPD0K3rrkekaRsrNmVJEmSKmDdOrj513DfI3DdIPjx\nxbCXU0fSHud7diVJkqTdZMIzcPkQ+PrhMOOf0KplrkckqTwFXlWgnWU9htLAOFQaGIdKC2MxNz74\nEHr1hauGwQN3wriHqneiaxwqn5jsSpIkSaVs2AC3/Bq+1gO6fg3e+Bcc3z3Xo5JUGdbsSpIkSSU8\nOzl5ANWXvwR33gpfaJPrEUkqyZpdSZIkqRIWfQSDfgYvTYO7boVep+R6RJJ2hcuYlZX1GEoD41Bp\nYBwqLYzFqrN5M4z6HXQ6Btq1hVkvm+iWxThUPnFmV5IkSdXWi6/AwEHQvBn86xk45OBcj0jS7mLN\nriRJkqqdJUth8PXw9+fg1zfCWb0hlFsBKCkNKlqz6zJmSZIkVRtFRXD/I9C+KzRsALNfhu/3MdGV\nCpHJrrKyHkNpYBwqDYxDpYWxuOv+MwOOPhEeGQsTx8Mdt0DDhrkeVX4xDpVPTHYlSZJU0FashB9f\nAyd/Dy4+D/71d+jylVyPSlJVs2ZXkiRJBSlGGPNnuOZ6+M6J8IthsG/TXI9K0q7yPbuSJEmqtma9\nDT+6ClathvGjoesRuR6RpD3NZczKynoMpYFxqDQwDpUWxmLFrFkDg4fDN78DZ/SCaZNMdHcn41D5\nxGRXkiRJeS9GGD8BOhwFiz6GN6fCZRdDzZq5HpmkXLFmV5IkSXlt7vvJA6g+WAD33A7dj8n1iCRV\nJd+zK0mSpIL22Wcw4pfw9eOTBHf6Cya6krYx2VVW1mMoDYxDpYFxqLQwFrf392fhK91gxlvwn8lw\nzRVQq1auR1X4jEPlE5/GLEmSpLyx4L/wk+vg9TfgN7+EU76V6xFJSitrdiVJkpR6mzbBnffCraPg\n0h/CkCuhTp1cj0pSLvieXUmSJBWEF6Ym78w9oBW8NBEO+mKuRyQpH1izq6ysx1AaGIdKA+NQaVEd\nY/GTT+G8gdDvYrh+CDzzmIlurlXHOFT+MtmVJElSqmzZAvf8HjoeDfs1g1kvwxmnQih30aIkbWPN\nriRJklJj2n9g4CCoWyd5Z27H9rkekaS08T27kiRJyhvLlsPAn0KvH8Dll8CUv5noSto1JrvKynoM\npYFxqDQwDpUWhRqLRUXwyFho3xVq1EiWLJ/7fZcsp1WhxqEKk09jliRJUk68OTN5yvJnG+CpcfC1\nr+Z6RJIKiTW7kiRJ2qNWr4brfwmP/gluuBYuOg9q1sz1qCTlC2t2JUmSlCoxwp//Cod2TWp033oR\nBlxgoiupapjsKivrMZQGxqHSwDhUWuR7LM55D07sAzf+Csb9Hh7+LezXPNejUmXlexyqejHZlSRJ\nUpVZvx5+fjMcfSKc1BP+MwWOOSrXo5JUHVizK0mSpCrx1N/h8iFwxGEw8iZo1TLXI5JUCCpas+vT\nmCVJkrRbzf8QrrgWZr0D946Ebx2X6xFJqo5cxqysrMdQGhiHSgPjUGmRD7G4cSPcegcc3iN5jdCb\nU010C00+xKG0lTO7kiRJ2mWTXoBLr4YvtoVXn4N2bXM9IknVnTW7kiRJ2mkffQxX/Rz+9TLc9Uvo\ndTKEcivpJGnn+Z5dSZIkVZnNm+Gu+6DTMdD6AJj1Mpx6iomupPQw2VVW1mMoDYxDpYFxqLRIUyy+\n9CoccRw88Td44W/wi+FQr16uR6U9IU1xKJXHml1JkiRVyJKlMGQEPP0PuP0G6HuGM7mS0suaXUmS\nJO1QURE89Ae47ib4fm+44Vpo1CjXo5JUXfmeXUmSJO2y19+AH12V/Pff/wJf7ZTb8UhSRVmzq6ys\nx1AaGIdKA+NQabGnY3HlSrhiCJx0BvzwHJj6dxNd+Xei8ovJriRJkorFCGMfg0O7wrr1MPMluPAc\nqOG/GiXlGWt2JUmSBMDsd+DSq2H5CrjndjjqyFyPSJI+z/fsSpIkqULWroVrR8Cx34bTvg3TJpno\nSsp/JrvKynoMpYFxqDQwDpUWVRGLMSbvyu1wFHz4X3jjX3D5JbCXjzBVGfw7UfnEv8okSZKqoXkf\nwOWDYe4H8NDdcNyxuR6RJO1e1uxKkiRVIxs2wG13wZ33wlWXwU8vhVq1cj0qSao437MrSZKk7Uyc\nBJddAx0Ogdeehzatcz0iSao6OanZDSHUCCH8J4TwZBntd4UQ3g0hTA8hdCmx/6QQwtshhDkhhMF7\nbsTVj/UYSgPjUGlgHCotdiUWFy6CM8+HAT+FkTfBX/9goqud49+Jyie5ekDVFcCsbA0hhJOBL8YY\nDwIuAe7N7K8B3A2cCHQA+oYQDtkzw5UkSco/mzbByN9C52/AIQcl78z9zkm5HpUk7Rl7vGY3hHAA\n8DBwM/DTGGOvUu33As/HGP+U2Z4NdAe+AAyPMZ6c2T8EiDHGX2b5DGt2JUlStfbPF+FHV0GL/eHu\n2+DgL+V6RJK0e6S5ZvcO4GqgURntrYAFJbb/m9mXbb9vgJMkSSrh08VwzXB4dgrccTOccSqEcv9J\nKEmFZ48uYw4hfBv4JMY4HQiZX+V2q9pRKRvrMZQGxqHSwDhUWpQXi1u2wO8ehI5Hw75NYfbL8L3T\nTHS1e/l3ovLJnp7Z7Qb0CiGcAtQBGoQQRscYzy1xzELgwBLbB2T21QJaZ9mfVf/+/Wnbti0AjRs3\npkuXLnTv3h3Y9ofU7bK3p0+fnqrxuO22227natu/D91Oy/b06dPLbP/369DvgsnU2huee6I7X+mQ\n+/G6XZjbW6VlPG5Xj+1Ro0Yxffr04vyuonL2nt0QwjeBQVlqdk8BLo0xfjuE0BUYFWPsGkKoCbwD\n9AQ+Al4F+sYYZ2c5tzW7kiSp4C1fAdfdCOOfgl9eD+d+35lcSYWvojW7NfbEYMoTQrgkhHAxQIzx\naeD9EMJ7wH3AjzL7twCXAROBmcC4bImuJElSoYsRRo+D9l2T7dmvwHl9TXQlqaSczexWJWd2d93k\nyZOLlw1IuWIcKg2MQ6XB4iXw+PjJ9OndnU8+TZ6yvG49/O7XcMRhuR6dqhP/TlQa5NXMriRJkrL7\n41+gTScY9DNoeSgcfSL07QOvPGuiK0k74syuJElSSi1eAq2/Ap99tm3fPvvAh29C82a5G5ck5ZIz\nu5IkSXnuhRdh86bt99XaGz74MDfjkaR8YrKrrEo/Xl7KBeNQaWAcKhfWr4fhv4CLrwS2zl1smpz8\nthnati6rp1S1/DtR+cRkV5IkKUWenggdj4ZZ78CMf8Loe6FOHahbN/n9wd+4hFmSKsKaXUmSpBT4\ncAFcORTenAV33wYn9tzWtnhJsnS5bWsTXUmyZleSJCkPbNwIvxwFh3WHLl+BN6dun+hCkuAecZiJ\nriRVhsmusrIeQ2lgHCoNjENVpef/CV2OhSlTk1cJDbsmedpyNsai0sA4VD7ZK9cDkCRJqm4+/gSu\n+nnytOU7b4XTvg2h3AV5kqTKsGZXkiRpD9m8GX73ENxwG1x4Nvz8aqhXL9ejkqT8UtGaXWd2JUmS\n9oCXp8GProKGDWDKU9D+kFyPSJIKmzW7ysp6DKWBcag0MA61q5YuS96X2/tcGHQpPD9h5xJdY1Fp\nYBwqn5jsSpIkVYGiInjwUWjfFfapDbNehn5nWpsrSXuKNbuSJEm72Yw3YeAg2FIEv/s1HNY51yOS\npMLhe3YlSZL2sFWr4Mpr4YTecH4/eGmiia4k5YrJrrKyHkNpYBwqDYxDVUSMMO5xOLQrrF4DM1+C\ni86DGrvxX1rGotLAOFQ+8WnMkiRJu+DtOXDp1bBkKTz2MBz99VyPSJIE1uxKkiTtlHXr4OZfw32P\nwM+ugssugr2cRpCkKmfNriRJUhV58unkKcvzPoA3/gVXDjTRlaS0MdlVVtZjKA2MQ6WBcaiS3p8P\nvfrCNdfDg7+BPz4ILVvsmc82FpUGxqHyicmuJElSOTZsgJtvh6/1gK5fgxn/hJ7fzPWoJEk7Ys2u\nJEnSDjw7OXkA1SEHwZ23QtvWuR6RJFVvFa3ZtbpEkiQpi4WLYNDP4JXX4M5fQK9Tcj0iSVJluIxZ\nWVmPoTQwDpUGxmH1s3kz3HEPdP4GfKld8s7cNCS6xqLSwDhUPnFmV5IkKWPqy/Cjq2C/5jD17/Dl\ng3I9IknSzrJmV5IkVXuLl8Dg62Hi8/DrG+HM0yGUWw0mScoF37MrSZJUjqIiuO9h6HAUNG4Es16C\ns3qb6EpSITDZVVbWYygNjEOlgXFYuF6bDkd9C0aPg2f/CiNvhoYNcz2qshmLSgPjUPnEZFeSJFUr\nK1bCZVfDt8+CAefDP5+BTh1zPSpJ0u5mza4kSaoWYoQxf4arh8OpJ8Mtw6Bpk1yPSpJUWb5nV5Ik\nKWPmbLj0ali1Gp74A3z9a7kekSSpqrmMWVlZj6E0MA6VBsZhfluzBgYPh+7fhe+dCtMm5W+iaywq\nDYxD5ROTXUmSVHBihPEToH1XWPQxvDkVLr0IatbM9cgkSXuKNbuSJKmgzH0ffnwNzP8v/PZX0P2Y\nXI9IkrQ7+Z5dSZJUrXz2GYz4JXz9+CTBfX2Kia4kVWcmu8rKegylgXGoNDAO88Mz/4COR8MbM+E/\nk+GaK6BWrVyPavcyFpUGxqHyiU9jliRJeWvBf+HKoTD9Tbj7Njj5hFyPSJKUFtbsSpKkvLNpE4z6\nHfzyTrjsIhh8BdSpk+tRSZL2BN+zK0mSCtKUqfCjq6B1K3j5H/CldrkekSQpjazZVVbWYygNjEOl\ngXGYHp98CucOgHMugRuHwtOPVa9E11hUGhiHyicmu5IkKdW2bIHfPpA8gGr//WDWy9D7uxDKXcAm\nSarOrNmVJEmp9eprMHAQ1K8H99wOHQ7N9YgkSbnme3YlSVLeWrYcBvwETu0HVw6AyU+Z6EqSKsdk\nV1lZj6E0MA6VBsbhnlVUBA+PgfZdYa+9YPYrcM73XbIMxqLSwThUPvFpzJIkKRXeeCt5yvLGTfC3\nP8HhXXI9IklSPrNmV5Ik5dTq1TD8VvjDn5OnLP/wXKhZM9ejkiSllTW7kiQp1WKEP/8VDu0KK1bC\nzJfgkvNNdCVJu4fJrrKyHkNpYBwqDYzDqjHnPfhWb7jpdhj3e3jobmjeLNejSjdjUWlgHCqfmOxK\nkqQ9Zt06+PnNcPSJcMoJ8NpkOOaoXI9KklSIrNmVJEl7xIRn4PIhcOThMPImaNUy1yOSVBmLWcx8\nPqANbWlO81wPR9VYRWt2fRqzJEmqUh98CFcMgdlz4P5RcEKPXI9IUmX9iT8ykAvZm1psYiP38iBn\n0jfXw5J2yGXMysp6DKWBcag0MA533oYNcMuv4Ws94IjD4M2pJrq7wlhUrixmMQO5kPWsZ/nklaxn\nPQO4kMUszvXQpB1yZleSJO12z02BS6+Gg9rBtEnwhTa5HpGknTWHdyhdILg3ezOfD1zOrFSzZleS\nJO02iz6CQT+Dl6bBXbdCr1NyPSJJO+t95vF77uN/eYjlLKOIouK2OtThHeab7ConfM+uJEnaYzZv\nhjvvhU7HQLu2MOtlE10pH21hC0/zFKdxCt/gSLawhSm8xP9n776jo6q6MA7/LpESVEARG0oRpXdE\nKZZgA0ERAUU6UhISwEb1wy4qiAVEJzBJ6E2KIlIUASMdMfQioHQRAeklkHK+PwaEaJQJmeTemXmf\ntVgw40Be1tpO2HPOPmcEYwkllHzkI5RQhhKnRlccT82upEtzQeIEqkNxAtXhpS1Z7pnLnT4bFs2G\nd16FvHntThV4VIuSlfazn4H0pywleI+3aUoztrKb/nxACW7naZqzmZ28FT+AzezU4VTiFzSzKyIi\nIpfl4J/Q502YPRc+fBuaNQbrkpvKRMQpDIalLMGNi2+YSSOaMJ4pVOPOdF9fiEKUorRWdMVvaGZX\nREREMiQ1FeLGwCvvQPMm8GYfyJ/f7lQi4q0TnGAi43Dj4jSnCSeKVrTlGq6xO5qIV3TProiIiPjc\nqrUQ2R1yWPDtVKhcwe5EIuKtjWzATTSTGM+9hNGfDwnjAXJoslEClCpb0qW5IHEC1aE4gerQ4+hR\neK431GsKndrAom/U6GY31aJcjrOcZQqTeIQwGvAwBSnIj6zlc77gAR7KcKOrOhR/opVdERER+VfG\nwKLSb/cAACAASURBVPjJ0PN1eKyu55TlgtfanUpELmUPexiOmxHEUJLSRNCFhjQiJzntjiaSbTSz\nKyIiIunatBmiesCRoxD9IdSobnciEfkvqaTyPfMYhotF/EAzWhJOJGUoa3c0EZ/y2cyuZVnefH6b\naow54lUyERERcbSTJ+HtgRA3Fl7rBZHt4QrtBRNxrMMcZgwjiSGaUEKJoAvDGcNVXGV3NBFbebNJ\nfy/wE5DwHz/WZlVAsYfmMcQJVIfiBMFUh8bAtJlQtgbs2QtrF0G3cDW6ThFMtSjeSeAnImhPGYqz\nigTcjGQ5q+lAeJY1uqpD8SfefPvaZIyp8l8vsCxrlY/yiIiIiA227YBuvWDbThjpgjr32p1IRNJz\nmtNM4XOG4eIgB+hIZ9axVXffiqTjkjO7lmXlMcYkZvY12UkzuyIiIt5JTIT3P4HBQ6HXc/BiFOTK\nZXcqEfm7X9hKDEMZz2ju5C7CieIR6hFCiN3RRLKdL+/Z7WxZ1hJgpTEmOb0XOKnRFREREe98Ow+6\n9oLyZWBlPBQtYnciEblYMsnMZiZuXKxhFW1oz0J+pBjF7Y4m4he8mdm9BRgE7Lcs6wfLst61LOsx\nLw+uEj+leQxxAtWhOEEg1uGe3+CpdhDZHQa9C1+OVaPrDwKxFiV9+9jHAN6hDLfxIQNoQWu2sIt+\n9Le90VUdij+5ZLNrjOlhjKkF3Ai8DBwCngXWW5a1MYvziYiIiI8kJcEHQ6DyfVC2FGxYCg3q2p1K\nRAAMhkUsoDXPUIUy7GYXU5hOPEtoTivykMfuiCJ+x+t7di3Lyg/UBGqf+7kAsM4Y82zWxbs8mtkV\nERFJa+ESz0pu4Zvh0/fhjhJ2JxIRgGMcYwJjceMihRTCiaIlbchPfrujiTiWtzO73hxQ5QbKAceB\n5cAyYJkx5rAvgmYFNbsiIiIe+w9Az9dg/gL4+F1o0hCsS/7zQESy2nrW4cbFFD4njAeJIIr7CMNC\n/4OKXIq3za43M7tFgNzAPuA3YA9wJHPxxOk0jyFOoDoUJ/DXOkxJgeg4KF8LCl0HG5dB0yfU6Poz\nf61FueAMZ/icCTzIvTzBo9zITfzEesYzmfup4xeNrupQ/MklT2M2xtSzLMvCs7pbC+gOlLcs6xCw\n1BjzehZnFBERkQxYsRKiekCe3DBvGlQoZ3cikeC2k53EMYzRDKcs5enGizTgcXKS0+5oIgHN65ld\nAMuybsEzs1sLeAwoaIwpkEXZLpu2MYuISDA6fAT6vg1fzoT+r0ObZ7SSK2KXVFKZyxzcuFjKYlrQ\nhk50piSl7I4m4vd8ds+uZVnP4WluawFJwJJzP4YD6zKZU0RERDLJGBg9EXq/AY0f82xZvsZxH0WL\nBIc/+ZPRjCCGaPKTnwi6MIoJXMmVdkcTCTrezOwWAyYDdxtjShhjWhtjoo0xa4wxqVkbT+yieQxx\nAtWhOIHT63D9Rri/AXwaA19PANeHanQDldNrMZgZDD+ynI60pTy3s5H1jGQ8S0igHR0CqtFVHYo/\n8WZm96Xzv7Ys61ZjzO5zv74XSDbGLM3CfCIiIpKO48fhzfdh1AR462UIbwchIXanEgkupzjFJCbg\nxsURjtCJSAbwEQUpaHc0ESHjM7v9gGrAGWANkMsY83IWZbtsmtkVEZFAZQxM+Qpe6gsP3g/vvwnX\nF7I7lUhw2cJm3EQzgTHUpDbhRPEQj5DDq02TIpJZPpvZvZgx5pVzf3gu4G48W5xFREQkG2z9Fbr2\ngt/2wjg33Ffb7kQiwSOZZGYwHTcuNrKetnRgCSspSlG7o4nIv8jQx0+WZbWyLKu8MeasMWYh8GcW\n5RKbaR5DnEB1KE7ghDo8fRpeexdqPgKP1IFVC9ToBiMn1GIw2ste3uFNSlKUIXxMWzqwmZ28yTtB\n2eiqDsWfZGhlF09z+6xlWRWAvEA+y7JO4rlv96zP04mIiAS5md9Ct95QrTKsXgC3FLY7kUjgMxgW\nEM8wXMQzj6d4hul8Q3kq2B1NRDIgQzO7aX6jZYXi2cp8D1DcGNPBl8EyQzO7IiLi73bughf+B+s3\nwafvQ90H7U4kEviOcpRxjMaNixBCCCeK5rQiH/nsjiYiF/F2Zveym10nU7MrIiL+6uxZ+OgzGDgE\nXoiEnt0gTx67U4kEtjWsxo2LL5jMw9QjnEhqcy8Wl/y3tIjYwNtm95Izu5ZlrfTFa8S/aB5DnEB1\nKE6QnXX4/UKodC8sXAor5sOrPdXoygV6T/StRBKZwFjCqEVTGlKEoqxiE6OZwD3cp0b3X6gOxZ94\nM7NbxrKstf/x3y0gvzdfzLKs3MACINe5H18ZY/6Xzus+AR4FTgLtjDGrzz1fDxiEp0mPM8YM8Obr\nioiIONnv+6DHq7BoGQzuD0/UB0v/zhbJEjvYTgxDGcMIKlOV7vTmURpwRYaPshERp7vkNmbLsrw5\nZi7FGLPHqy9oWXmNMacsywoBFgPdjTGLL/rvjwJdjTENLMu6GxhsjKlhWVYOYAvwILAXWAE8Y4z5\nOZ2voW3MIiLieMnJ4IqDtwdCx9bwSg+48kq7U4kEnhRSmMM3uHGxguW0oh0dieB27rA7mohcBp/d\ns2uM2embSH/9eafO/TI3nhXaw397yRPA6HOvXW5ZVn7Lsm4AigNbz+exLGviudf+o9kVERFxumUr\nILI7FMgPP8yAsqXtTiQSeA5wgJHEEctQCnE9EUQxnimEEmp3NBHJBhm6Z9cXLMvKYVnWKmAfEG+M\n2fi3lxQGdl/0eM+55/7teckCmscQJ1AdihP4ug7/PASdnofGbTyHT82frkZXvKP3RO8YDEtZwrO0\noiIl+ZWtjGcKi/iR1rRTo5tJqkPxJ141u5bHrb74gsaYVGNMFeAW4D7Lsu6/1Jf3xdcVERGxU2oq\nxI2BsjUgNA9sWgYtntJsroivnOAEcbipQRXCaUcVqrGBXxlKHNW40+54ImIDrybxjTHGsqxZ4Lub\ntI0xxyzLmgncCfxw0X/6Dbi4sb7l3HO5gCLpPJ+udu3aUaxYMQAKFChA5cqVCQsLAy58IqXH//34\nPKfk0ePgexwWFuaoPHocvI/Pu9zfX6BgGFHd4cif8fTrDZ06OOvvp8f+8fj8c07J45THN4Rdj5to\nxsSPogKVeDdsIHV4kAXxC1jLWtvz6bEe63HmHw8aNIjVq1f/1d95y+t7di3LGgV8aoxZkaGvkPbP\nuA5IMsYctSwrFPgWeNMYM++i19QHupw7oKoGMOjcAVUhwGY8B1T9DvwINDfGbErn6+iAKhERsd2x\nY/DaezBhKvTrCx1aQ44cdqcS8X9JJDGdabhxsYWfeZZOPEsnbsUnGxFFxOF8ds/uRe4GllmW9atl\nWWsty1p3iSuJ0nMT8P25md1lwHRjzDzLsiIsywoHMMbMArZblvULMAyIOvd8CtAVmANsACam1+iK\nb5z/NEXETqpDcYLLqUNjYMIUKFMDTpyEDUuhU1s1upI5ek+EPezhLV6jJEVx46ITkWxmJ6/xlhrd\nbKI6FH+SkQvF6mb2ixlj1gFV03l+2N8ed/2X3/8NUCqzOURERLLKps3QtZfnIKrJI6DW3XYnEvFv\nqaQSz3yG4WIh8TSjJTP5jrKUszuaiDhcRrYxW0BL4DZjzFuWZRUBbjTG/JiVAS+HtjGLiEh2O3kS\n3vkQ3KPg1Z7QpSNckZGPlEUkjcMcZgwjiSGaUEIJJ4pnaMlVXGV3NBGxWVZsY3YBNYHm5x4fBz67\njGwiIiIBwxj4ahaUqwk7dsHaRfB8ZzW6IpdrJQl0pgNluY1VJOBmJMtZTUci1OiKSIZkaGbXGNMF\nSAQwxhzGc0KyBCDNY4gTqA7FCf6rDrfvhIbNofcbEDcExsfCzTdlWzQJMoH8nnia04xhJPdyN81p\nQgnuYA2bGcFYalILSzdROkYg16EEnox87px07kRkA2BZViEgNUtSiYiIONiZMzBwCAyKhu5dYOpo\nyKWPf0Uy7Fd+IYahjGMUd3IX/+M1HqEeIYTYHU1EAkBGZnZbAs3wHDA1CmgKvGKMmZx18S6PZnZF\nRCSrfPc9dOkJZUvBoPegWJFL/x4RuSCFFGYzEzcuVrOS1jxLRyIozm12RxMRP+HtzK7Xze65P7Q0\nnntuLWCeU6/+UbMrIiK+cOCgZw63WBE4exZeegVWrIRP+sNj9exOJ+Jf/uAPRhJLHG5upjDhRNKY\np8hDHrujiYif8fkBVZZljQXuxdPkfurURld8Q/MY4gSqQ7HThClQtCKE1Yvn5jJQ+m4oWQLWL1Gj\nK/bwx/dEg2ERC2lDcypTml3sZBLTiGcJLWitRtcP+WMdSvDKyMxuHJ5md4hlWSWAVcACY8zgLEkm\nIiJikwMHocNzcPo0kATkhKQkeC4C8ua1O52I8x3jGBMYSwzRJJNMJyL5hGgKUMDuaCISRDK6jTkE\nqA7UAToDp40xpbMo22XTNmYREcmMOfPhsWc8De55+a6GudOgelX7cok43XrWEUM0k5lIGA8SQRT3\nEabTlEXEp7zdxuz1yq5lWfOAK4GlwEKgujFm/+VHFBERcZaUFIgdDa/089yfe7GkZB1GJZKes5zl\nS6YSQzTb2UZ7OvET67mZm+2OJiJBLiP37K4FzgLlgYpAecuyQrMkldhO8xjiBKpDyU4Jq6HmIzDm\nc5j3FYweCqGhkDdnPKGhnnt0C11nd0oJZk57T9zFLl6nLyUpwiji6MoL/Mx2+vK6Gt0A5rQ6FPkv\nXq/sGmNeBLAs62qgHTACuBHInSXJREREssGRo56V3CnTof/r0OYZyJEDKpaHh+6HqV9Ak8ZqdEUA\nUkllHt/hxsVSFvMMrfiWeErhuKk2EZEM3bPbFc8BVdWAHXi2Mi80xszPsnSXSTO7IiJyKcbA2M+h\n1xvwxKPw7mtw7TV2pxJxpj/5k9GMIJah5CMfEXThKZ7hSq60O5qIBCGfz+wCeYCPgARjTPJlJxMR\nEbHZ+o3QpSecOAlfjYO7qtmdSMR5DIafWIEbFzP4igY0ZATjqM5dOnBKRPyC1zO7xpgPgESgs2VZ\nXS3LqpR1scRumscQJ1Adiq+dOAE9X4U6DeHpRvDjvEs3uqpDcYrsqsVTnGIkcdxDddrSnDKUYx1b\niWUUd3G3Gt0gp/dE8SdeN7uWZT0HjAOuP/djrGVZ3bIqmIiIiK8YA1OnQ9ka8McBWL8EunSCkBC7\nk4k4x1a20JMXKUkRZvAVr9OP9WzlJXpyHRpaFxH/k5GZ3bVATWPMyXOPrwSWGmMqZmG+y6KZXRER\nOe+XbdC1F+z+DVwfwP217U4k4hzJJDOD6cQQzQbW0Yb2dCCcohSzO5qIyL/KipldC0i56HHKuedE\nREQc5/RpGDAYPo2BPi/A850hZ067U4k4w+/8zghiiMNNMYoTThSNaExuXbIhIgEkI/fsjgCWW5b1\nhmVZbwDLgLgsSSW20zyGOIHqUC7X7O+gfC1YvwlW/QA9ul1+o6s6FKfIbC0aDAuIpyVPU41y7ON3\npjGLeSykGc3V6IpX9J4o/iQj9+x+ZFlWPHDPuaeeNcasypJUIiIil2H3Hnjhf7BmPXw2EOo9ZHci\nEfsd5SjjGE0M0eQgB+FEEU0s+chndzQRkSx1yZldy7LyAJ2B24F1QJzTrx7SzK6ISHA5exYGRcP7\nn0C3cOj9POTJY3cqEXutYTUxRDOVSTxEXSKIojb36jRlEfF7vpzZHQUkAQuBR4EywAuZiyciIuIb\nPyyGqB5QpDAsnwslitudSMQ+iSTyJVNwE80edtORCFaxiRu50e5oIiLZzpuZ3bLGmFbGmGFAU+C+\nLM4kDqB5DHEC1aH8l31/QOsIz4+3/wezJmdNo6s6FKf4r1rcwXZeoQ8lKcJ4xvASvdjENnrTV42u\n+JTeE8WfeNPsJp3/hdO3L4uISOBLSYFP3VChNtx8I2xcBo0fB0s7MyXIpJDCbGbSmMe4l7tIJpn5\nLOZrvuVxnuCKDF26ISISeLyZ2U0BTp5/CIQCp8792hhjHHe6gWZ2RUQC0/KfPFuWr77KcwBVuTJ2\nJxLJHgc4wE52/HX/7SiGE8tQrqMQEUTRlGaEEmpvSBGRbOKzmV1jTIhvIomIiFyeQ4fh5Tdh+jcw\n8E1o+bRWciV4fM4EOtOeHIRwhkRyk5umNGMsk7iT6nbHExFxrIzcsytBRPMY4gSqQ0lNhRHjoGwN\nyJULNi2HVs2yt9FVHYqddrCdTrQlkUSOx58khRRSSaUfA9Toii30nij+RMMcIiLiSGvXQ2R3SE6B\nWZOgaiW7E4lkn5/ZhJtoxjEKQ9rRrFzkYic7KEQhm9KJiPiHS87s+iPN7IqI+K9jx+D1/jB+iueU\n5Y5tIIf2IUkQSCKJ6Uwjhmg2s4ln6cQTNKYOtTjN6b9eF0oom9mpZldEgpYv79kVERHJcsbA519A\nj9eg7gOwfgkUus7uVCJZbw97GEEMw4nhDkoSThQNaUQucgEwlDg604Gc5CSJJIYSp0ZXRMQL+qxc\n0qV5DHEC1WHw2LwVHn4S3vsYPo+DuCHOaXRVh5IVDIb5zOUZmnAXFTnEIWbyHXOIpylP/9XoAjxN\nczazk7fiB7CZnTxNcxuTS7DTe6L4E63sioiIbU6dgnc+hGEj4ZUe0LUTXKHvTBLADnOYsYwihmjy\nkIdwoohlFFdx1X/+vkIUohSltaIrIpIBmtkVERFbfD0bnusDNe6ED/vBzTfZnUgk66xiJW5cTGMq\ndalPOFHUpBYWukNLRCSjNLMrIiKOtGMXPNcbNv8CMYPhoTC7E4lkjdOcZiqTcBPNH+yjI51Zw2au\n53q7o4mIBAXN7Eq6NI8hTqA6DCxnzsC7H8KddTyruWsX+UejqzqUjNrGr7xMT0pShCl8Th9eYSO/\n0pM+mWp0VYviBKpD8Sda2RURkSw3Nx669IRSt8OK+VC8qN2JRHwrhRS+YRZuXKwigdY8ywKWU5zb\n7I4mIhK0NLMrIiJZZu/v0P0VWLoCPukPDevbnUjEt/7gD0YRRyzDuImbiSCKxjxFHvLYHU1EJGB5\nO7OrbcwiIuJzyckwKBoq3gO3FYONy9ToSuAwGBaxkLa0oDKl2ckOJjGNH1hKC1qr0RURcQg1u5Iu\nzWOIE6gO/dOS5VAtDGZ8C4tmwzuvQt68dqe6fKpDOe84x3ETTXUq0oVO3EUNNrGdz3BTmSpZ/vVV\ni+IEqkPxJ5rZFRERnzj4J/R+A76ZBx/1g6efBEu3qkgA2MB6YohmEhO4nwf4gMHcTx1dGyQi4nCa\n2RURkUxJTYXY0fDqu9CiKbzZB/LlszuVSOac5SzT+IIYovmVX+hAOO3oSGEK2x1NRCTo6Z5dERHJ\ncivXQFQPCMkBc6ZCpQp2JxLJnF3sYjhuRhJLGcoRxXM8RkNyktPuaCIikkGa2ZV0aR5DnEB16FxH\njkK3XlD/aQhvCwtnB26jqzoMfKmkMpc5PEUjalKFE5zgW+KZzTyepIljGl3VojiB6lD8iVZ2RUTE\na8bAuEnQ6w14vC5sWAoFr7U7lcjl+ZM/GcNIYojmaq4mgi6MZBxXcqXd0URExAc0sysiIl7Z+LNn\ny/Kx4xD9Idx9p92JRC7PT6zAjYuvmUZ9HiecKO7ibh04JSLiJ3TProiI+MSJE9D7dbj/MWjaEFbM\nV6Mr/ucUpxjFcGpzJ61pRmnKso6txDGau6mhRldEJACp2ZV0aR5DnEB1aC9j4IuvoVxN2LsP1i2G\nruEQEmJ3suylOvRvW9lCL16iJEWYzpe8xtts4BdeoifXcZ3d8TJEtShOoDoUf6KZXRER+Ydft3sO\noNqxG0ZFQ9g9dicS8V4yyczka9y4WM9a2tKBxfxEUYrZHU1ERLKRZnZFROQviYkwYDAMcUOv5+CF\nSMiVy+5UIt75nd8ZSSxxuClCUcKJ4kmakJvcdkcTEREf0j27IiKSId/MhW69oWI5WBkPRW61O5HI\npRkMi1jAMFzM5zua0owvmUkFKtodTUREbKaZXUmX5jHECVSH2WP3HmjaFrr0hE/6w9TRanQvpjp0\npqMcJZpPqUZ5nieKe7iPn9nBJ0QHbKOrWhQnUB2KP1GzKyISpJKS4IMhUOV+KF8G1i+BRx+2O5XI\nf1vLGrrRmTIUZzELGYyLBNbTmS7kI5/d8URExEE0sysiEoQWLPbcmXtLYfj0fbj9NrsTify7M5zh\nC6bgxsVudtGRCNrRkRu50e5oIiJiA29ndtXsiogEkT/2Q6/XYf4CGPQeNH4cLF0vKg61kx3EMozR\nDKcClQgnivo8xhU6ckREJKh52+xqG7OkS/MY4gSqQ99JSQFXLJSvBTcUgk3LoUlDNbreUB1mrxRS\n+IZZNOYxanMnZznLPBYxgzk0pFFQN7qqRXEC1aH4k+D9jiEiEiRWrITI7pA3FL6fDuXL2p1I5J8O\ncpBRDCeWoVxLQSKIYiyTyEteu6OJiIif0jZmEZEAdegw9H0bps2C99+AVs20kivOYjAsZxluXMxm\nBg15kk5EcifV7Y4mIiIOpm3MIiJBKjUVRo6HsjUgRw7YuAxaP6NGV5zjJCcZTgw1qUpH2lCJKmzg\nV4YxXI2uiIj4jJpdSZfmMcQJVIcZt24D3N8AXHEwYyJ89gFcU8DuVP5Ndeg7m/mZ7jxPSYowm5n0\nYwBr2czzvMS1XGt3PMdTLYoTqA7Fn6jZFREJAMePQ/dX4MFG0PIpWDoH7qxidyoRSCKJL5hCPR6g\nHnXIRz6WsZrJTOMhHiGH/ikiIiJZRDO7IiJ+zBiYPA1eegUeDoMBb8D1hexOJQK/8RsjiGE4MZTg\ndsKJ4gmeJBe57I4mIiJ+ztuZXZ3GLCLip7b8Al17wb4/YGIs3FPT7kQS7AyGeOYzDBcL+J6nacHX\nfEs5ytsdTUREgpD2Dkm6NI8hTqA6TN/p0/DqO1CrLjz6ECTEq9HNSqrDSzvCET5lMJUpQy9e5EEe\nZjM7GcSnanR9SLUoTqA6FH+ilV0RET8y4xt4rg9UrwprFkLhm+1OJMFsFSuJIZovmUJd6uMillrU\nxkJHf4uIiP00sysi4gd27oLnX4aNm+GzgfBwHbsTSbBKJJGpTGIYLvbxO53oTBvacwM32B1NRESC\nhGZ2RUQCwNmz8NFn8MGn8EIkfD4ccue2O5UEo238SizDGMtIqlCN3vSlHvUJIcTuaCIiIunSzK6k\nS/MY4gTBXofzF0Cle2HRMlgxH17poUbXDsFchymkMJOveYJHuZ8aAMSzlK+YTQMeV6ObzYK5FsU5\nVIfiT7SyKyLiML/vgx6vwuLlMLg/NHwULI1ASjbaz35GEUcMQ7mRm4ggiol8QSihdkcTERHxmmZ2\nRUQcIjkZXHHw9kDo1Ab6docrr7Q7lQQLg2EJi3HjYg6zeZKmdCKSKlS1O5qIiEgamtkVEfEjy1ZA\nZHe49hpYOAtKl7Q7kQSL4xxnIuNw4+IMZwgnisG4KEABu6OJiIhkimZ2JV2axxAnCIY6PPgndHwO\nmrSFXs/B3GlqdJ0mUOtwIxt4ga6Uoijzmcv7fMwafqYrz6vRdahArUXxL6pD8SdqdkVEbJCaCrGj\noVxNuOpK2LgUmjfVbK5krbOcZTKf8zD304CHuY7rWME6JjCFOjyo+3FFRCSgaGZXRCSbrVoLUT3A\nAlwfQuUKdieSQLeb3QzHzUhiKUUZwonicZ4gJzntjiYiIpJh3s7samVXRCSbHD0Kz/eBek2hY2tY\n9I0aXck6qaQylzk8RSNqUJljHGM28/mG+TSmqRpdEREJeGp2JV2axxAnCJQ6NAbGT4YyNeB0Imxc\nBh1aQw69A/sFf6vDQxxiMB9RkVK8Qm8epQFb2MWHDKY0ZeyOJ5ngb7UogUl1KP5EpzGLiGShTZuh\nS084fAS+GA01qtudSALVT6zAjYuvmUZ9HieW0dxNDc3hiohI0NLMrohIFjh5Evp9ALFj4LVeENke\nrtDHi+JjpzjFFD5nGC4O8Scd6UwbnqUQheyOJiIikmV0z66IiA2Mga9mwQsvwz01YO0iuOlGu1NJ\noNnKFmIYynhGczc1eZU3eZi6hBBidzQRERHH0MSYpEvzGOIE/laH23bA48/Ay2/BiM9grFuNbiBw\nSh0mk8x0pvEYj/AQ95Kb3CxiBVP5mnrUV6MbBJxSixLcVIfiT7SyKyKSSWfOwPufwOCh0LMbfDEG\ncuWyO5UEin3sYySxxDKMWylCOFE0pim5yW13NBEREUfTzK6ISCbMmQ9de0G50jDoXShaxO5EEggM\nhkUsYBgu5jGHpjSjE5FUpJLd0URERGzn7cyuml0Rkcvw2154sS/8tAqGDIAGde1OJIHgGMcYzxjc\nuDAYwomiBa3JT367o4mIiDiGt82uZnYlXZrHECdwYh0mJcFHn0Gle6H0HbBhqRrdQJcddbiOtXSj\nM6UpxiIWMIjPWMkGIumqRlf+4sT3RAk+qkPxJ5rZFRHx0qKlENkdbr4Jls6BO0rYnUj82RnO8CVT\nceNiJzvoSAQJbOAmbrI7moiISEDI1m3MlmXdAowGbgBSgRhjzCfpvO4T4FHgJNDOGLP63PP1gEF4\nVqTjjDED/uXraBuziPjM/gPQ+w2YGw8fvQNNnwDrkhtnRNK3kx3EMozRDKcClehEJA14nCv0+bOI\niIhXnLqNORl4yRhTDqgJdLEsq/TFL7As61GghDHmDiACGHru+RzAp0BdoBzQ/O+/V0TEl1JSIDoO\nyteCgtfCxmXwVCM1upJxqaTyLbNpwuPU5k7OcIa5LGQGc3iCJ9XoioiIZIFsbXaNMfvOr9IaY04A\nm4DCf3vZE3hWfzHGLAfyW5Z1A3AXsNUYs9MYkwRMPPdayQKaxxAnsLMOf1oFNR6G8VNg3jT44G24\n+mrb4oiNMlOHBznIRwykPHfwFq/SkCfZwi7e5yPuoKTvQkpQ0PdmcQLVofgT2z5KtiyrGFAZWP63\n/1QY2H3R4z3nnkvv+buyLqGIBKPDR6Dv2/DlTOj/OrR5Riu5kjEGw48sx42LWXzN4zRiNBO5vbo6\nvAAAIABJREFUk+p2RxMREQkqtpzGbFnWVcAU4PlzK7z/+fJsiCR/ExYWZncEkWytQ2Ng9EQoW8Pz\neOMyaNtcja54X4cnOckIYqlFNdrTigpUYj2/4GaEGl3xCX1vFidQHYo/yfaVXcuyrsDT6I4xxnyV\nzkt+A2696PEt557LBRRJ5/l0tWvXjmLFigFQoEABKleu/Nf/nOe3X+ixHuuxHsfHx7N9B4yYFMbp\nRHj9pXhKl4RrCjgnnx47+/EudrE2bCUTGMPt8WVowjO8FNaDHORwRD491mM91mM91mN/fzxo0CBW\nr179V3/nrWw9jRnAsqzRwEFjzEv/8t/rA12MMQ0sy6oBDDLG1LAsKwTYDDwI/A78CDQ3xmxK58/Q\nacyZFB8f/1dxidglq+vwxAl4cwCMmghv9oHwdhASkmVfTvxUenWYRBIzmI4bF5vYQDs60p5wiqT5\nTFbEt/S9WZxAdShO4O1pzNm6smtZVm2gJbDOsqxVgAH+BxQFjDHGbYyZZVlWfcuyfsFz9dCzeP5j\nimVZXYE5XLh66B+NrojIpRgDU6fDi/+DB++H9Uvg+kJ2pxInOsABNvMz5ShHIQrxG78xghiGE8Nt\nlCCcKBrRmFzksjuqiIiI/E22r+xmB63sisi/2fordOsNe34D1wdwX227E4lTfc4EIunAFeTkDIlU\npDK/spWnaU4nIilHebsjioiIBCVvV3bV7IpIUDh9GvoPgs9i4eUX4bkIyJnT7lTiVAc4QEmKkEji\nX8/lJCdr2ExxituYTERERLxtdnNkRxjxP+eHwkXs5Ks6nDUHyteCjZth9QLo3lWNrvy71awiik5/\nNbop8Z7nQwnlTw7aF0yCnr43ixOoDsWfqNkVkYC1azc0bg3Pv+zZsjx5JNxS2O5U4kSJJDKeMdxP\nTZ7iCcpSjjzkSfOaJJIoSjF7AoqIiEiGaRuziAScs2fhYxcMHALPd4ae3SBPnkv/Pgk+29lGDEMZ\ny0iqUI1ORPIoDQghhElMoDMdyElOkkhiKHE8TXO7I4uIiAQ9zewG4N9LRC4tfhFE9YDiRWDI+3Bb\nMbsTidOkkMK3zMaNiwRW0Ip2dCSCEtz+j9ce4AA72UFRilEIHdktIiLiBJrZlUzRPIY4QUbqcN8f\n0Coc2kbCu6/CjM/V6Epa+9nPQPpTlhK8x9s0pRlb2MV7DEy30QUoRCFOxJ9UoyuOoO/N4gSqQ/En\nanZFxK8lJ8MQN1SoDbcWho3LoFEDsC75WZ8EA4NhCYtpR0sqUYpt/MIEprKQ5bSiLaGE2h1RRERE\nsoi2MYuI31q2wrNlOX8++GwglC1tdyJxiuMcZyLjiCGaRBLpRCStaMs1XGN3NBEREckkzewG4N9L\nRDz+PAQvvwUzvoUP3oLmTbWSKx4b2YCbaCYxnvuoQwRRhPEAFioQERGRQKGZXckUzWOIE/y9DlNT\nIW4MlKsJeXLDpmXQ4ik1usHuLGeZzOc8QhgNeJiCFORH1jKRqdThwUw3uno/FKdQLYoTqA7Fn1xh\ndwAREW+sWQeR3SHVwOzJUKWi3YnEbrvZzXDcjCSWUpQhgi40pBE5yWl3NBEREXEAbWMWEUc6cBB2\n7IKC18AnbpgwFfr1hQ6tIYf2pAStVFL5nnkMw8ViFtCMlnSiM2Uoa3c0ERERySbebmPWyq6IOM6E\nKdC+m2d78unTEHYPbFgK1xW0O5nY5RCHGMNIYhlKXvISThTDGcNVXGV3NBEREXEorY9IujSPIXY5\ncBCe7QqJiXD6WDwAyxNAmzWCUwI/EUF7ylGCNawihlEsYxUdCM+2Rlfvh+IUqkVxAtWh+BOt7IqI\nY5w6Bb1eh7Nn0z6f8wrPluZC19mTS7LXaU4zmYm4ieYgB+hIZ9ayhUIUsjuaiIiI+BHN7IqII0yf\nBc/1gWqVYNZcz8rueaGhsHOtmt1A9wtbiWEo4xjFXdQgnCgepi4hhNgdTURERBxEM7si4he274Tn\n+8CWX2H4p/DAfZ7DqDp086zoJiVD3BA1uoEqmWRmMYMYolnDKtrQnkWsoBjF7Y4mIiIifk4zu5Iu\nzWNIVjtzBt75AKo/ADWrw9pFnkYXoHkTz0rugFfi2bnW81gCyz720Z9+lKY4HzOQFrRhK7vpR3/H\nNbp6PxSnUC2KE6gOxZ9oZVdEst3ceOjSE8qUhJ++h2JF/vmaQtdB6ZJa0Q0kBsMiFuAmmrl8SxOe\nZipfU4nKdkcTERGRAKSZXRHJNnt/h5f6wo8r4ZP+8Fg9uxNJdjjGMcYzBjcuUkklnCha0ob85Lc7\nmoiIiPghb2d2tY1ZRLJccjJ87IJK98IdJWD9EjW6wWAda3mOSEpRlIX8wCA+YxUbiaKbGl0REX90\n4ACsWOH5WcQPqNmVdGkeQ3xl8TKoFgazvoPF38DbfSFvXu9+r+rQ/5zhDBMZzwPcQyPqcyM3kcAG\nxjGJ+wjD4pIfwjqO6lCcQrUotpowAYoWJb5OHSha1PNYxOE0sysiWeLAQej9Bsz5Hj7qB081Asv/\n+hzx0k52EscwRhFHeSryPN1pwONcoW8zIiL+78ABaN8+7b2AHTrAQw9BId2BLs6lmV0R8anUVIgZ\nBa++C62bwRu94eqr7U4lWSGVVL7jW2KIZimLaUEbOtGZkpSyO5qIiGRGYiKsWwcJCZ4fCxfC5s1p\nX5MvH8ydC9Wr25NRgpru2RWRbJewGqJ6eO7HnfslVCxvdyLJCgc5yGhGEMtQClCACLowmonkxcv9\n6SIi4hynT8OaNbBy5YXmdssWKFkSqlaFatWgcWPPj4tXdpOSoFgx22KLeEMzu5IuzQVJRhw5Cl17\nQoNmENkeFszyTaOrOnQOg2E5y+hIWypwB5vYwCgmsJifaEv7gG50VYfiFKpFybRTp2DJEhgyBJ59\nFipWhIIFISoKVq2CO+8EtxsOHYLVq2H4cOjSBR591PPr0FDi8+aF0FCIi9MWZnE8reyKyGUzBsZN\ngl5vQMN6sHEZXHuN3anEl05ykklMwI2LYxyjI50ZwEcUpKDd0URE5L+cOOFpWM+v1q5cCdu2Qdmy\nntXamjU9jWyFCpA796X/vObNPTO6U6dCkyZqdMUvaGZXRC7Lhk3QpSccPwHRH8Jd1exOJL60mZ+J\nYSgTGEMt7iGcKB7kYXJoQ5CIiPMcP+5Zmb24sd25E8qV8zS21ap5tiSXLw+5ctmdViTTvJ3ZVbMr\nIhly4gS8PRCGj/McPtW5PYSE2J1KfCGJJGYwHTcuNrGBtnSgPeEUpajd0URE5LyjR9M2tgkJsGeP\nZ4X2fGNbrZpnBTdnTrvTimQJNbsB+PfKTvHx8YSFhdkdQxzEGPhyBrzwMoTdAwPfghuuz9qvqTrM\nHnvZywhiiMPNbZQgnCga0Zhc6NN/UB2Kc6gWg9Dhw55V2osPj/r9d8+s7cWNbZkycEX2TCeqDsUJ\ndBqziPjMr9uhWy/YuQfGDIP7a9udSDLLYPiB7xmGix+Yz1M8w3S+oTwV7I4mIhKcDh26sAX5fGO7\nfz9UruzZgly/Prz6KpQurS1VIl7Syq6I/KvERBgwGIa4offz8EKkdkT5uyMcYRyjiSGaEEKIoAvN\nacXV6DJkEZFsc/Bg2vnahAT480+oUuXCfG21ap7rf9TYivyDtjEH4N9LJDt9Mxe69oLKFeDjd+DW\nW+xOJJmxmlXEEM0XTOZh6hFOFLW5B4tLfp8QEZHM2L8/7XztypVw5MiFhvb8z3fcATl0CKCIN9Ts\nBuDfKztpHiN47d4DL/wP1qyHT9+Heg/Zl0V1mDmJJPIFkxmGi738RkciaEsHbuRGu6P5FdWhOIVq\n0Q/s25e2sU1IgJMnLzS055vbEiX8trFVHYoTaGZXRDIkKQkGRXu2LXcLh3FuyJPH7lRyObazjViG\nMYYRVKYqPXmZetTnCr3li4j4hjGwd2/a+dqEBDhz5kJj26oVfPwxFC8OlnbRiNhBK7siwg+LIaoH\nFCkMnw6EEsXtTiQZlUIK3zIbNy5+4kda0Y5OdKYEt9sdTUTEvxnjudrn74dHpaSk3YZcrRoULarG\nViQbaBtzAP69RHztj/3Q8zWIXwSD3oMnH9P3aH+zn/2MYjixDOV6biCCKJrwNKGE2h1NRMT/GAO7\ndv3z8CjL+mdje+ut+qYpYhNvm13/HBaQLBcfH293BMlCKSnwWQyUrwU33QAbl0Hjx533PVt1mD6D\nYQmLaUdLKlKSX9nKeKawkOW0oq0aXR9THYpTqBZ9zBjYvh2mTIGXX4a6daFQIahRA4YP99xb27mz\np+Hdtw9mzYJ+/eDJJ6FIEed908wmqkPxJxrgEgkyPyZAZHe4+iqI/xrKlbE7kXjrBCeYyDjcuDjN\nacKJ4mM+5RqusTuaiIizGQPbtv3zVOTQ0AsrtV27en6++Wa704qIj2gbs0iQOHQY/vcWfDUbBr4J\nLZ8O2g+l/c5GNuAmmkmM517CiCCKMB4ghzbniIj8U2oq/PJL2vnalSvh6qsvNLbntyTfqNPpRfyR\nTmMWEcDzPX/UBHj5LXjqCdi0HArktzuVXMpZzjKdabhxsZUtPEtHlrOGW7nV7mgiIs6RmgpbtqSd\nr121CgoUuNDU9urlaWyvv97utCKSzbSyK+nSHWqBYe16zynLScng+gCqVbY7UcYEYx3uYQ/DcTOC\nGEpSmnCiaEgjcpLT7mhBKxjrUJwp6GsxJQU2b07b2K5eDddd9897bK+7zu60ASvo61AcQSu7IkHs\n+HF4vT+MnQT9+kLHNn57d31QSCWV75nHMFws4gea0ZJZzKMMZe2OJiJij+Rk+PnntNuQ16yBG264\n0NC+9prn52uvtTutiDiUVnZFAogxMHkavPQKPFIHBrwBhfThtmMd5jBjGEkM0YQSSgRdaEYLruIq\nu6OJiGSfpCTYtCnt4VFr10LhwmlXa6tW9WxPFpGgp3t2A/DvJfJftvwCXXp67s6N/hBq17A7kfyb\nBH7CjYuv+IJHeYxwoqhBTSx0YpiIBLizZ2HjxrSN7fr1njtrL25sq1SB/DpgQkTSp3t2JVN0h5r/\nOHUKXn0HatWF+g/Dyh8Cp9ENpDo8zWnGMJJ7uIsWNOUOSrGOrYxgLDWppUbXwQKpDsW/+V0tnjnj\naWZjYjz31Vav7lmZbdEC4uOhZEn44APPHbY//wzjxsFLL0FYmBpdB/O7OpSgppldET824xvo1hvu\nrgZrFkJhXQ3oOL+wlRiGMo5RVOdu+vI6j1CPEELsjiYi4juJibBuXdrDozZtghIlLhwe1bo1VKoE\nV2lUQ0Syh7Yxi/ihHbvg+T7w81b4bCA8FGZ3IrlYMsnMZiZuXKxhFW1oT0ciKEZxu6OJiGTe6dOe\nmdqLD4/avBnuuCPtqciVKkHevHanFZEApJndAPx7iZw5Ax9+Ch+54MVI6NENcue2O5Wct499jCSW\nONwU5hYiiOJJmpKHPHZHExG5PKdOeU5Bvrix3boVSpW6MF9brRpUrAihoXanFZEgoauHJFN0h5rz\nzPvBcwBVyRKwYj4UL2p3oqznD3VoMCxmIcNwMZdvacxTTOYrKlPF7mjiI/5QhxIcsrwWT5xI29gm\nJMC2bVCmjKehvftuiIqCChUgjz7EC1Z6TxR/omZXxOH2/g7dX4FlP8Hg96BhfbsTCcAxjjGBsbhx\nkUIK4UQxhKEUQNdiiIgfOH4cVq26MF+bkAA7dkC5cp7G9p574LnnoHx5bSESEb+lbcwiDpWcDJ/F\nQr8PILwt9O2u0ScnWMdaYohmMhOpw0NEEMV9hOk0ZRFxrqNHPY3txYdH7d7taWTPz9dWqwZly0Ku\nXHanFRG5JG1jFvFjS5ZDVA+4riAsnAWlS9qdKLid4QzT+AI3LrazjQ6Ek8AGbkbHX4tINjlwwLPy\nWqwYFCr07687cuRCQ3v+599+88zUVqsGDz0EvXt7tibnzJld6UVEbKGVXUmX5jHscfBP6PMmzJ4L\nH74NzRqDFcQLhnbX4U52EscwRhFHOSoQThQNeJyc6B+IwcTuOhRhwgTo0IH4HDkIS02FuDho3hwO\nHUq7DTkhAf74AypXTnsqcunScIXWN8Q39J4oTqCVXRE/kpoKcWPglXegRVPYtAzy5bM7VXBKJZW5\nzMGNi6UspgVt+I4FlKSU3dFEJBgdOAAdOniu+zmvVSvo08fT7Fap4mloH38c3njDc0pyiO7xFhEB\nreyK2G7VWojsDjkscH0IlSvYnSg4HeQgoxlBLEPJT34i6MJTPMOVXGl3NBEJNvv3X9iGPHcu/PAD\nXPzvmtBQGDUKmjSBHDnsyykiYhOt7Io43NGj8Oq78PmX8N5r0K6F/s2S3QyGFfyIGxczmU4DGjKS\n8VTnLh04JSLZY9++tPO1CQmek5LPb0Nu3hyWLvVctH6xsDB90xARuQS9S0q64uPj7Y4QsIyBcZOg\nTA1IPAMbl0H7Vvo3S3qyqg5PcpIRxFKbO2lHC8pRgfX8QiyjuIu71ehKGno/FJ/Zuxe+/tqz3bhh\nQyhc2HMC8scfe+64bdEC4uPh8GGYPx8GDoTwcBgxAkJDic+b17OqGxf334dUiWQhvSeKP9HKrkg2\n2rTZc8ry0WPwxWioUd3uRMFlC5txE80ExlCT2rzBOzzEI+TQ534i4kvGeE5AvvjgqJUrISnJs1pb\ntSq0aQODB3tOV77USYTNm3tOUZ461bN1WY2uiIhXNLMrkg1OnoS3B0LcWHitF0S218GY2SWZZGYw\nHTcuNrCOtnSgA+EUpZjd0UQkEBjjubP2742tMRca2/OnIhcpEtxH7IuI+IhmdkUcwBiYNhNeeBnu\nrQnrFsONN9idKjjsZS8jiCEON8W5jXCiaERjcpPb7mgi4q+M8dx1e/F87cqVntOPzze0ERGen2+5\nRY2tiIjNtLIr6dIdapm3bQd06wXbd8FnA6HOvXYn8j8ZrUODYQHxDMPF98zlKZ6hE5FUoGLWhZSA\np/fDIGUMbNuW9vColSshd+4Lje35ldubb86Wxla1KE6gOhQn0MquiE0SE+H9T+CTYdCzG3w5FnLl\nsjtVYDvCEcYxmhiiCSGEcKIYShz50GXFIuKF1FT49dd/NrZXXnmhqX3hBU9je9NNdqcVEREvaWVX\nxIe+nQdde0GFsjDoXShyq92JAttqVhFDNF8wmYeoSwRR1OZenaYsIv8uNRW2bk27DXnVKsifP+18\nbdWqcIPmTkREnMjblV01uyI+sOc3eLEvJKyGIQOgQV27EwWuRBL5gskMw8VefqMjEbSlAzdyo93R\nRMRpUlJgy5a0h0etXg0FC6Y9PKpqVZ1wLCLiR9TsBuDfKztpHsM7SUkweCj0HwRdOkKfFzxXIErm\nHeAAX8RPpXFYEwpRiO1sI5ZhjGEElahCOFE8SgOu0DSGZDG9H/qJ5GT4+ee0h0etWQPXX592tbZq\nVU+z64dUi+IEqkNxAs3simSxhUsgsjvcUhiWzoE7StidKHB8zgQi6UAqFr14njKUZQ+7aUU75rOY\n27nD7ogiYqfkZNi4MW1ju3atZ572fGPbsKGnsb3mGrvTioiITbSyK5JB+w9Az9dg/gL4+F1o0lC3\nS/jSAQ5QkiIkkvjXcznJyQZ+4VaK2JhMRGyRlAQbNqRtbNet81ztc/GpyJUrQ4ECdqcVEZFsoJVd\nER9LSQH3SHi9P7R9BjYug6uvtjtV4DAYlrGU93g7TaMLEEoof/CHml2RQHf2LKxfn/ZU5A0boGjR\nC/O1zZp5Gtt8Om1dRET+m5pdSZfmMdJasRKiekBoHpj/FZQva3eiwHGCE0xkHG5cnOIULWnDQuJJ\nJJGUeAgJgySSKEoxm5NKsNL7YRY5c8azQnvxqcgbN8Jtt12Yr23Z0tPYXnWV3WkdQbUoTqA6FH+i\nZlfkPxw+An3fhi9nwoA3oHUzbVn2lU1sxE00nzOOe7if9/iAOjxIDnJQgtvpTAcMFhaGocRRCJ2U\nKuK3EhM9M7UXn4q8eTPcfvuFxrZdO6hUyXO3rYiIiA9oZlckHcbA6InQ501o/Bj0ewWu0ShYpp3l\nLNOZhhsXW9nMs3TiWTpxK/+8kPgAB9jJDopSTI2u/L+9e4+zqi4XP/55QG7eb6ipAaIgiqIwYWal\nRJZmpeYlNdNUBAS7aObl1+nU8XW6mx2zGnAQ846WWmlXsZxzstJsBhQUFC94F0dFlItcv78/1h5n\nNqCgDrPW3vvzfr18zaw1a81+1viwX/PM9/t8v6okixevWdjOmQMDB5avirzPPi5fL0l6R9x6qAqf\nS51j5oPZlOUlr8OEi+F9Q/OOqPI9zdNcQQO/YBID2J0xjOdwjqQ73fMOTdK7sWhRtm9t+8WjHn0U\nBg0qXzxq772hZ8+8o5UkVYn1LXa7dEYwqjyNjY15h9DpXnsNvvafMPII+NwxcPdUC913YxWr+AtT\n+SyfYT+GMJ/5/J47uJ1GjuGz61Xo1mIeqnjMw5KFC+Fvf4NLLoGTT4bBg6F3b/jKV7JFpQ44AK68\nEubPz4rfSZPgjDNg+HAL3Q5iLqoIzENVEnt2VfNSgpt+C1/9D/joQTDzH7Cds2bfsfnM5xquZBIT\n6EUvxjCeK7iGTXGBGalivPoqTJtWviryk0/CXntlU5APPBDOPjsreLs7Q0OSVExOY1ZNe/gR+OJ5\n8NzzUP8j+PABeUdUuZppooF6fsstHMJhjGE8H+AAAlf0kgptwYLyacjNzfD00zBkSFt/bV0d7Lkn\ndOuWd7SSJNmzW43PpY6zZAl873+gfjL8v7Phy2P9He6dWMISbuJGLqOeFl7gdM7gC5zGdmyXd2iS\n1qZ1inH7xaOefz5bLKr94lF77AEbOflLklRMFrtV+FydqZr3UPv9n+FL52f9uD/+Nuy8U94RVZ5H\neYRJTOQ6rqKO4YxhPIfwCbrStUNfp5rzUJWjYvPwpZfWLGxbWrJ9a9sXtoMGQdeO/berDaNic1FV\nxTxUEaxvseufbVUznngSzvo6zJwFE38MHx+Zd0SVZQUr+CO/p4F67mMaJ3Eq/8c97EL/vEOT1NKy\nZmH78sswdGhW1B55JPz3f8OAARa2kqSa4ciuqt6yZfDjn8NFP4WzxsG5X3Jh0LfjeZ7nKiZzOZex\nIzsxlvEcxbH0xB+ilIt588oXjmpqyhaUGjasrb+2rg522w26uOmCJKn6OI25Cp9Lb9+df8v2zO3f\nF376Q+jfL++IKkMi8Xf+xmXUcwd/5iiOZTTj2Bf3YpI61XPPlS8c1dSU7W3bfhpyXR30729hK0mq\nGRa7VfhcnanS+zGeez7bM/euu+En34cjDoNwUeB1epVXmcK1NFDPClYwhvGcyMlsyZa5xFPpeajq\n0Cl5mBI8+2z5NOTmZli6tK2wbS1ud9nFN7Qa5XuiisA8VBHYs6uatGJFtsLyf18Ep58ED94Nm2yS\nd1TFN5MZNFDPTdzIQYzkYi7lID7itkHShpBStrXP6oXtypVtRe1pp8HPfw59+ljYSpL0Djmyq6px\n970w7hzYakv4+UWwx+55R1RsS1nKb7iFBup5nMcYxRhO4XR2wuWppQ6TEjzxxJr72EaUj9jW1cHO\nO1vYSpK0Hgo5jTkiJgOfAuallIa8yTWXAp8AFgGnpJSml84fClwCdAEmp5R+8BavY7FbQ156GS64\nEP4wFS66EE44xt8X38oTPMEVNHAVk9mDwYxhPJ/icLrhRsPSu5ISPP54eX9tczN0717eX1tXBzvu\n6BuVJEnv0PoWu529msUvgEPe7IsR8Qlg15TSAGAsMLF0vgvws9K9g4ETImLQhg+3djU2NuYdwjqt\nWgWTr4E994eNe8GD/4TPHevvj2uzilXczp84hsM5gGEsYhF/ppE/8hc+w9GFLXQrIQ9V5VpaaJw4\nMdvap72U4JFH4MYb4bzz4OCDYZtt4MAD4dproVcv+PKXYcaMrBf3ttvgwgvh8MNhp518o9I74nui\nisA8VCXp1J7dlNJdEdH3LS45Ari6dO09EbFFRGwP7ALMSSk9ARARN5Sunb2hY1YxTZ8B48+BBPzp\nJhi61nkCeomXuJpfcDkT2YzNGMuZXMUUNsFGZmmdpkyBUaOywvSss2D0aOjRIxutbW6GzTdvG6k9\n55xs5Hb77fOOWpIklXR6z26p2L1tbdOYI+I24HsppX+UjqcC55MVu4eklMaUzn8e2C+l9OU3eQ2n\nMVepBQvgm9+DG26B73wDTvu8u22sLpG4l3/RQD2/47d8ksMZw3j24/0uOCWty8qVMGcO3HknfOlL\n2XGrLl3ggguy0dthw6B37/zilCSphlXLasz+Zi4gmzF4w83wtW/CYR+DB/4J226Td1TFspjF/JIp\nNFDPfOYzmnF8n4vZlm3zDk0qppUrYfbs8sWjpk+H7baDfv1go43Ki91NN4Ujj4Thw3MLWZIkrb+i\nFbvPAO9td7xz6Vx3oM9azr+pU045hX79+gGw5ZZbsu+++76xJ1hrr4HHb348ffp0zjrrrELEc9XV\njVwyEVLXEdx0JSxd3MjMGcX6eeV5fE3j1fyOW7lrxJ3szwEc2fhZ3sdwRo4YWYj43s1x+76gIsTj\ncQUff+hDMGsWjdddBw8/zIh58+C++2jcYgsYOJARn/gEfPrTNC5eDJttxojBg6FvXxqB6cBZAMuX\n0/jMM7BoUf7P43FNHl9yySX+PuNx7set54oSj8e1cXzJJZcwffr0N+q79ZXHNOZ+ZNOY917L1w4D\nzkwpfTIi9gcuSSntHxFdgYeAjwLPAf8CTkgpzXqT13Aa87vU2Nj4RnLlZdEi+M7FMOlq+M9zYfyo\nbKBFsIIV/I5baaCeB5jBFxjFKMbQl355h9ahipCHqkDLl8ODD5avijxjRrYwVPtVkYcOhS23fPPv\nU+rZbYxgREoweTKccELnPYe0Gt8TVQTmoYqgqFsPXQ+MALYB5gHfIhu1TSmlhtI1PwMOJdt66NSU\nUnPp/KHAT2jbeuj7b/E6FrsVLCW49Y/wlQvggP3g4m/De3bIO6pieJZnuZLLmUwDfelo/jeIAAAY\ny0lEQVTHGMbzGY6mBz3yDk3Kx7Jl8MAD5XvYzpwJffqsWdhuvvnb//4tLTB3bjat2R5dSZIKoZDF\nbmex2K1cjz8BXz4f5jwG9T+CkQfmHVH+Eon/o5HLqOdO7uBYjmc049gbl6BWjVm6NCtkWwvbpqZs\nBHeXXdpWRR42DPbdFzbbLO9oJUnSBmKxW4XP1Zk6e4rK0qVw0U/hkglwzplwzhehe/dOe/lCWsAC\nruNqJjGBIBjDeD7HSWzOOxidqlBOlaphr7+eTT1uX9jOng277tpW2NbVwT77wCYbdist81BFYS6q\nCMxDFUG1rMasGjD1TjjzXNhzd/j3ndCvz7rvqWb3MZ0G6rmFX/FRPs6lTOBDHOi2QapeS5bAffeV\nr4r88MMwcGDbNORRo2DIENh447yjlSRJFcKRXeXmmWfhq9+Ae5vh0u/Dpw7NO6L8vM7r/JqbuIx6\nnuYpTmcsp3A6O2CzsqrM4sXZ9j7tF4965BEYNKitsK2rywrbnj3zjlaSJBWQ05ir8LmqxfLl8NMG\n+O6PYdxp8P/Ort3Bmrk8zuVcxtVcwRD2ZQzjOYxPsZGTLlQNFi5sK2xbi9vHHoM99yxfPGrvvaGH\ni6xJkqT14zRmvSsbqh/jrn/C+K/B9tvBP/4MA3fr8JcovJWs5Hb+RAP13Ms9nMgX+Ct/ZzcG5B1a\n4dgXVEFeew2mTSsvbJ94AgYPzgraAw+Es86CvfaquIZ881BFYS6qCMxDVRKLXXWKlhfhvG/B1Eb4\n8bfh2CMhaqwFtYUWruIKLmci27AtYxnPdfyKjanRYW1VrgULygvbpiZ4+ulshLauDkaOhHPPzUZw\nu3XLO1pJklSjnMasDWrlSrj8avjP78JJx8F/nV9bO4IkEnfzTxqo54/8jiM4itGM430Mzzs0af3M\nn5+N0rZfPOq557Ke2varIu+xB2zk308lSdKGZ89uFT5XpWmaDuPOge7dsj1zh+yVd0SdZyELuZHr\naaCeRSxiNOM4iVPYmq3zDk16cy+/XL5wVFMTvPBCtr1P+8J20CDo2jXvaCVJUo2y2K3C5+pM76Yf\nY/4r8I1vw823wfe/BScfD126dGx8RTWLB2lgAjdyHR/kQMYynpEcTBdq5AfQwewL2oBefLG8v7ap\nCV56CYYOLV8VeeDAmi9szUMVhbmoIjAPVQQuUKVOlxJccyOc/19w5GHw4N2w9VZ5R7XhLWc5t/Ib\nGqjnYWZzCqdzD/fxXt6bd2hS5oUXyvtrm5vhlVfaitqjjoLvfAcGDKidv0xJkqSq58iuOsTMB+HM\nc2HRYphwMQwflndEG97TPM0vmMQVTGI3BjCG8RzBZ+hOZa00qyrz/PPlhW1TEyxa1FbYtn7cdVcL\nW0mSVJGcxlyFz1VECxfChT+AK6fAhRfA2FOre8bjKlbRyF+5jHr+RiOf5XOM5gwGU0MNySqGlODZ\nZ9fssX399fL+2mHDoH//2lv+XJIkVS2L3Sp8rs60rn6MlOCW2+Dsr8NHPgw/vDDbO7dazWc+13IV\nk5hAD3owhvEcz4lsRg0tLZ0D+4JKUsq29lm9x3bFivLCtq4O+va1sO1g5qGKwlxUEZiHKgJ7drXB\nPPIYfPE8eOoZuOYyOOiDeUe04TTTRAP1/JZbOITDmMBkDuCDBBYT2kBSgiefXLPHFtoK2tNPhwkT\n4L3vtbCVJEl6E47sar0tWQI/+An8bBJccBZ85Qzo1i3vqDreEpZwM7/kMuqZx/OM5gxO5jS2Z/u8\nQ1O1SQnmzl2zsO3Wrby/tq4OdtrJwlaSJAmnMVvsdrA/Ts1Gc4cOgf/5Drx357wj6niP8giTmMh1\nXMUw3scYxnMoh9GVKm5CVudJCR59tLy/trkZevUq76+tq4Mdd8w7WkmSpMKy2K3C5+osLS/Czbc0\ncvRRI3j9dTjr63DfTPjZD+HQg/OOrmOtZCV/5Pc0UM80mjiJUzmdsfRn17xDExXcF7RqFTzySHl/\nbXMzbLbZmotH7bBD3tFqHSo2D1V1zEUVgXmoIrBnV+/IlJtg1JchVsCX/gN69oSvfRGua8g+rxbz\nmMdVTOZyLmMH3sNYxnMjv6YXvfIOTZVm1Sp4+OHywnbaNNhyy7ai9rzzssJ2uypexU2SJKlgHNnV\nG1pehL5Dst7cVj16wFMzofe2+cXVURKJv3MXDdQzlT/xGY5hNOMYSg1sCqyOsXIlPPRQ+TTk6dNh\nm23WHLHdtgr+0UiSJBWQI7t62+Y+Cd27rVbsds/OV3Kx+xqvMYVraaCeZSxjDOO5lAlsyZZ5h6Yi\nW7ECZs8uXzzqvvuyacetvbXf/Gb2+dZb5x2tJEmSVmOxqzf06wPLlpcOljdCtxEsX5Gdr0QzmcEk\nJvArbuAgRnIRlzCCkW4bVEE6rS9o+XKYNau8sL3//mwF5NaR2iOPhKFDYautNnw8KhT701QU5qKK\nwDxUJbHY1Rt6bwuTfwqjvgTRDdJG2XEljeouYxm/4RYaqOdRHmEUY7iXGezETnmHpqJYtgweeKB8\nVeSZM7M9a1unIR9zTFbYbrFF3tFKkiTpHbJnV2toeTGbutyvT+UUuk/yJFfQwJVczh4MZjTj+DRH\n0I0q3AhY62/p0qyQbb941AMPQL9+5f21Q4dmKyVLkiSp8Nx6qAqfS+VWsYq/MJUG6vkHd3E8n2c0\nZzCIPfIOTXl4/XWYMaN88ahZs6B///LFo/bZBzbdNO9oJUmS9A5Z7Fbhc3WmIvdjvMRLXMOVTGIC\nm7EZYxjPcXyOTdgk79DUkVpaaLz5ZkYcfTT07l3+tSVLsp7a9j22Dz0EAwe2LR7VWthuvHE+8atq\nFPn9ULXFXFQRmIcqAldjVlVJJP7NvTRQz238hk9yOJO5hvezvwtOVaMpU2DUKOjSBc4+Gy64INve\np7WwnTMHBg1qK2zHjIEhQ6CX+yRLkiQp48iuCm0xi/kVN9BAPS/zMqdzBidzKr3pve6bVXkWLoQ7\n74Sjj85WSG4VAZ//PBxwQFbc7r039OyZX5ySJEnKjdOYq/C5askcHqaBCUzhGt7PBxjNOD7GIXSl\na96hqaO89hpMm1a+eNTcudniUY8+mq2a3GrzzeGOO2D48LyilSRJUkGsb7HbpTOCUeVpbGzs9Ndc\nwQp+y6/5JB/jYD5MT3pyF/dyM7dxKIdZ6FayBQugsREuvhhOPDGbgrzDDnDuudmU5BEj4Prr4ZVX\n4H//F7pm/68bW+9fvjwrgqUc5PF+KK2NuagiMA9VSezZVe6e4zmu5HIu5zL60o/RjOMojqEHPfIO\nTe/EK6+U72Hb3AzPPJP11NbVwcEHw/nnwx57QLe1bA3VuzdMnpz17EZAStnx6otUSZIkSW/BaczK\nRSLxN/6Xy6jnr0zlGI5jNOMYwj55h6a34+WXywvbpiaYNw/23bd8VeRBg2Cjt/m3tZaWtmnNFrqS\nJEkqsWe3Cp+rGixgAddzDQ3UAzCG8XyOk9iCLXKOTOv04otrFrYvvghDh2YFbWtxu/vub0xDliRJ\nkjqaxW4VPldn6ug91O7nPhqo52Z+yUf5OGMYx4c5yG2DiuqFF8oXjmpqyqYnr17YDhyYbQ+0gbiX\nn4rAPFRRmIsqAvNQReA+u8rdUpZyCzfRQD1P8gSnM5ZmHuQ9vCfv0NTe88+X99c2NWUrJbcWtJ/9\nLHz/+7Dbbhu0sJUkSZI6kiO76nBzeZzLuYxr+AV7sw+jGccn+TQb+beV/D377JqF7ZIl5f21dXXQ\nv3+2OJQkSZJUME5jrsLnKrKVrGQqf6aBev7F3XyOkxnNGQxgYN6h1aaUshWQ2/fXNjdnW/i0n4Zc\nV5ctAGVhK0mSpAphsVuFz9WZ1rcf40Ve5Cqu4HImsjVbM4bxHMvxbMzGGz5IZVKCp55as7BNac3C\ntk+fiips7QtSEZiHKgpzUUVgHqoI7NnVBpNI3MPdNFDPH7iNw/kM13Aj72N43qFVv5Sy7XhW38e2\na9e2gnbs2OzjzjtXVGErSZIkdSRHdrXeFrGIG7meBup5jdcYzThO4hS2YZu8Q6tOKcFjj5X31zY3\nQ48e5f21w4bBjjta2EqSJKkmOI25Cp+rs7TQwhPMpS/96E1vZjOLBiZwA9fyQQ5kLOMZycF0wZV5\nO8yqVfDoo2sWtptssmZh+x5Xs5YkSVLtstitwufqDDcyhXGMYlVjkEasYFd242Ve4hRO5zTG0Ic+\neYdY+VatgjlzyqchT5sGW2xR3l87bBhsv33e0ebKviAVgXmoojAXVQTmoYrAnl29bS20MI5RLGEJ\nK4GuwCPMYRaPsxM75R1eZVq5Eh5+uHzxqOnTYZtt2graCy7IPvbunXe0kiRJUtVwZFdv+Df38kk+\nxqsseOPc5mzO77nDxafWx4oV8NBD5YXtfffBdtuVj9YOG5YVu5IkSZLeNkd29bb1pR/LWVZ2bjnL\n6Uu/fAIqshUrYNas8sL2/vuzftrWwvaII2DoUNhqq7yjlSRJkmqOKwzpDb3pzUQm04te9GzcmF70\nYiKT6U2NT69dvjybenzFFXDmmbD//ll/7bHHwu23Q79+8N3vwjPPZL24N9wA554LI0da6L5LjY2N\neYcgmYcqDHNRRWAeqpI4sqsyn+UEPsLB3MLNHMXRtVfoLlsGM2eWr4r8wAPQt2/bNOTjjoN994XN\nN887WkmSJElvwp5d1a6lS2HGjPJVkR98EPr3byts6+qywnbTTfOOVpIkSRJuPWSxq3Kvv5711Lbv\nsX3oIdhtt/LFo/bZJ9vbVpIkSVIhWexW4XN1poreQ23JkmwV5PaF7Zw5MHBgW2FbVwdDhkCvXnlH\nq7dQ0XmoqmEeqijMRRWBeagicDVm1YZFi9YsbB99FAYNygra/faDceNg772hZ8+8o5UkSZLUSRzZ\nVeVYuBCmTWtbOKqpCR5/HAYPbuuvrauDvfaCHj3yjlaSJEnSBuA05ip8rpry6qtZYdt+VeQnn8wK\n2faLRw0eDN275x2tJEmSpE5isVuFz9WZOrUfY8GCtoK29ePTT2c9te0Xj9pzT+jWrXNiUiHYF6Qi\nMA9VFOaiisA8VBHYs6timj+/fBpyczM891y2CnJdHRxyCHz961nP7UampyRJkqR3xpFdbTgvvVRe\n2DY1QUtLtm9t+1WRd98dunbNO1pJkiRJFcBpzFX4XIXW0rJmYTt/PgwdWr541IABFraSJEmS3jGL\n3Sp8rk7T0kLjzTcz4uijoXfvNb8+b155f21TU7agVGtR2/pxt92gS5fOj19Vw74gFYF5qKIwF1UE\n5qGKwJ5dvTNTpsCoUVmR+tWvwo9+BH36lBe2ixe3FbTHHw8XXQT9+1vYSpIkSSoMR3bVpqUF+vaF\nJUvKzx90EHzgA22jtrvsArHOP6RIkiRJUodzZFdv39y52Z617YvdzTbLRm6HD88tLEmSJEl6u5x3\nqjb9+sGyZQA0tp5bsSI7L+WgsbEx7xAk81CFYS6qCMxDVRKLXbXp3RsmT4ZevWDjjbOPkyevfZEq\nSZIkSSowe3a1ppaWbEpzv34WupIkSZIKxa2HqvC5JEmSJKnWrW+x6zRmrZX9GCoC81BFYB6qKMxF\nFYF5qEpisStJkiRJqjpOY5YkSZIkVQynMUuSJEmSapbFrtbKfgwVgXmoIjAPVRTmoorAPFQlsdiV\nJEmSJFUde3YlSZIkSRXDnl1JkiRJUs2y2NVa2Y+hIjAPVQTmoYrCXFQRmIeqJBa7kiRJkqSqY8+u\nJEmSJKli2LMrSZIkSapZFrtaK/sxVATmoYrAPFRRmIsqAvNQlcRiV5IkSZJUdezZlSRJkiRVDHt2\nJUmSJEk1y2JXa2U/horAPFQRmIcqCnNRRWAeqpJY7EqSJEmSqo49u5IkSZKkimHPriRJkiSpZnV6\nsRsRh0bE7Ih4OCLOf5NrLo2IORExPSL2fTv3qmPYj6EiMA9VBOahisJcVBGYh6oknVrsRkQX4GfA\nIcBg4ISIGLTaNZ8Adk0pDQDGAhPX9151nOnTp+cdgmQeqhDMQxWFuagiMA9VSTp7ZHc/YE5K6YmU\n0nLgBuCI1a45ArgaIKV0D7BFRGy/nveqg7zyyit5hyCZhyoE81BFYS6qCMxDVZLOLnZ3Ap5qd/x0\n6dz6XLM+90qSJEmSVBELVK1zlS11vLlz5+YdgmQeqhDMQxWFuagiMA9VSTp166GI2B/4r5TSoaXj\nC4CUUvpBu2smAnemlG4sHc8GDgJ2Wde97b6H+w5JkiRJUpVan62HNuqMQNq5F9gtIvoCzwHHAyes\nds2twJnAjaXi+JWU0ryIeHE97gXW78ElSZIkSdWrU4vdlNLKiPgicDvZFOrJKaVZETE2+3JqSCn9\nISIOi4hHgEXAqW91b2fGL0mSJEmqDJ06jVmSJEmSpM5QCQtUqRNFxKERMTsiHo6I8/OOR7UpIiZH\nxLyIuD/vWFS7ImLniPhrRDwQETMi4st5x6TaExE9IuKeiJhWysXv5h2TaldEdImI5oi4Ne9YVLsi\nYm5E3Fd6X/zXW17ryK5aRUQX4GHgo8CzZD3Wx6eUZucamGpORHwIWAhcnVIaknc8qk0RsQOwQ0pp\nekRsCjQBR/ieqM4WERunlBZHRFfg78A5KaW/5x2Xak9EnA3UAZunlA7POx7Vpoh4DKhLKc1f17WO\n7Kq9/YA5KaUnUkrLgRuAI3KOSTUopXQXsM43MGlDSik9n1KaXvp8ITAL93dXDlJKi0uf9iD73c33\nR3W6iNgZOAy4PO9YVPOC9axjLXbV3k7AU+2On8Zf7CSJiOgH7Avck28kqkWlqaPTgOeBxpTSg3nH\npJr0P8C5gNNClbcETI2IeyNi9FtdaLErSdJbKE1hvgn4SmmEV+pUKaVVKaWhwM7AgRFxUN4xqbZE\nxCeBeaXZLlH6T8rLB1NKw8hmGpxZan9bK4tdtfcM0Kfd8c6lc5JUkyJiI7JC95qU0m/zjke1LaX0\nKvB74H15x6Ka80Hg8FKv5BTgIxFxdc4xqUallJ4rfWwBfk3WirlWFrtq715gt4joGxHdgeMBV9tT\nXvzLsYrgCuDBlNJP8g5EtSkito2ILUqf9wI+BkzPNyrVmpTS11NKfVJK/cl+P/xrSunkvONS7YmI\njUszroiITYCPAzPf7HqLXb0hpbQS+CJwO/AAcENKaVa+UakWRcT1wD+AgRHxZEScmndMqj0R8UHg\nRGBkaXuD5og4NO+4VHPeA9xZ6tm9G7g1pfSXnGOSpLxsD9zV7j3xtpTS7W92sVsPSZIkSZKqjiO7\nkiRJkqSqY7ErSZIkSao6FruSJEmSpKpjsStJkiRJqjoWu5IkSZKkqmOxK0mSJEmqOha7kiR1oIg4\nMiJWRcTA9bj2CxGxQ7vjhogYtGEjlCSpNljsSpLUsY4HfgecsB7XngLs1HqQUhqTUpq9geJap4jo\nmtdrS5LU0Sx2JUnqIBGxCfB+4Eyyorf9186PiPsjYlpEfDcijgbeB1wbEc0R0TMi7oyIYRExNiJ+\n2O7eL0TEpaXPT4yIe0r3TIiIWEscwyPi7xExPSLujohNIqJHRFxRiqEpIka0+96/jYi/AHeUzn0t\nIv5Vuv9bpXMbR8TvSvHfHxHHbpAfoiRJHWSjvAOQJKmKHAH8OaX0VES8EBFDU0rTIuJQ4NPA8JTS\n0ojYMqX0SkScCZyTUpoG0K5uvRn4J3Be6fg44NulKc7HAQeklFZGxM+BE4FrW2+MiG7ADcCxKaXm\niNgUeB34CrAqpTQkInYHbo+IAaXbhgJ7p5QWRMTHgAEppf1KhfStEfEhYDvgmZTSp0qvs1nH//gk\nSeo4juxKktRxTgB+Wfr8V7RNZT4Y+EVKaSlASumV0vko/VcmpfQi8GhE7BcRWwO7p5T+AXwUGAbc\nGxHTgJFA/9Vu3x14NqXUXPpeC1NKK4EPUSqKU0oPAXOB1r7iqSmlBaXPPw58LCKagebS9xsAzCid\n/15EfCil9Nrb/ulIktSJHNmVJKkDRMRWZMXnXhGRgK5Aom109u26kWwUdzbw69aXAa5KKf3HusJZ\nj+/f/ppFq53/Xkpp0ho3RAwDDiMbZb4jpfTt9XgdSZJy4ciuJEkd41jg6pTSLiml/imlvsDjpSnA\nU4FTI6IXvFEYA7wKbP4m3+/XZNOijyeblgzwF+CYiOjd+n0ios9q9z0E7BARdaVrNi0tPPU3sinP\nlFaKfm/p2tX9GTit1H9MROwYEb0j4j3AkpTS9cBFZCPMkiQVliO7kiR1jOOAH6x27hbghJTSmRGx\nL/DviFgK/AH4BnAVMDEiFgMHkI0EA9lU54iYBQxKKf27dG5WRHyDrN+2C7CMbDGsJ9vdtzwijgN+\nViquF5NNo64HJkTE/cBy4Aula8sCTilNLfUG/7P0tdeAz5NNZb4oIlaVXnfcu/x5SZK0QUVKad1X\nSZIkSZJUQZzGLEmSJEmqOha7kiRJkqSqY7ErSZIkSao6FruSJEmSpKpjsStJkiRJqjoWu5IkSZKk\nqmOxK0mSJEmqOha7kiRJkqSq8/8B2ZGynSjKI7QAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f1d88c6f390>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "little_cl = clusters[1]\n",
+ "plot_pstates(power_perf_df, little_cl)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Statistics"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def power_perf_stats(power_perf_df):\n",
+ " \"\"\"\n",
+ " For each cluster compute per-OPP power and performance statistics.\n",
+ " \n",
+ " :param power_perf_df: dataframe containing power and performance numbers\n",
+ " :type power_perf_df: :mod:`pandas.DataFrame`\n",
+ " \"\"\"\n",
+ " clusters = power_perf_df.index.get_level_values('cluster')\\\n",
+ " .unique().tolist()\n",
+ "\n",
+ " stats = [] \n",
+ " for cl in clusters:\n",
+ " cl_power_df = power_perf_df.loc[cl].reset_index()\n",
+ "\n",
+ " grouped = cl_power_df.groupby('freq')\n",
+ " for freq, df in grouped:\n",
+ " perf = df['perf'] / df['cpus']\n",
+ " power = df['power'] / df['cpus']\n",
+ " energy = df['energy'] / df['cpus']\n",
+ "\n",
+ " avg_row = {'cluster': cl,\n",
+ " 'freq': freq,\n",
+ " 'stats': 'avg',\n",
+ " 'perf': perf.mean(),\n",
+ " 'power': power.mean(),\n",
+ " 'energy': energy.mean()\n",
+ " }\n",
+ " std_row = {'cluster': cl,\n",
+ " 'freq': freq,\n",
+ " 'stats': 'std',\n",
+ " 'perf': perf.std(),\n",
+ " 'power': power.std(),\n",
+ " 'energy': energy.std()\n",
+ " }\n",
+ " min_row = {'cluster': cl,\n",
+ " 'freq': freq,\n",
+ " 'stats': 'min',\n",
+ " 'perf': perf.min(),\n",
+ " 'power': power.min(),\n",
+ " 'energy': energy.min()\n",
+ " }\n",
+ " max_row = {'cluster' : cl,\n",
+ " 'freq' : freq,\n",
+ " 'stats' : 'max',\n",
+ " 'perf' : perf.max(),\n",
+ " 'power' : power.max(),\n",
+ " 'energy': energy.max()\n",
+ " }\n",
+ " c99_row = {'cluster' : cl,\n",
+ " 'freq' : freq,\n",
+ " 'stats' : 'c99',\n",
+ " 'perf' : perf.quantile(q=0.99),\n",
+ " 'power' : power.quantile(q=0.99),\n",
+ " 'energy': energy.quantile(q=0.99)\n",
+ " }\n",
+ "\n",
+ " stats.append(avg_row)\n",
+ " stats.append(std_row)\n",
+ " stats.append(min_row)\n",
+ " stats.append(max_row)\n",
+ " stats.append(c99_row)\n",
+ " \n",
+ " stats_df = pd.DataFrame(stats).set_index(['cluster', 'freq', 'stats'])\\\n",
+ " .sort_index(level='cluster')\n",
+ " return stats_df.unstack()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "pp_stats = power_perf_stats(power_perf_df)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plots"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def plot_power_perf(pp_stats, clusters):\n",
+ " cmap = ColorMap(len(clusters) + 1)\n",
+ " color_map = map(cmap.cmap, range(len(clusters) + 1))\n",
+ " \n",
+ " fig, ax = plt.subplots(1, 1, figsize=(16, 10))\n",
+ "\n",
+ " max_perf = pp_stats.perf['avg'].max()\n",
+ " max_power = pp_stats.power['avg'].max()\n",
+ "\n",
+ " for i, cl in enumerate(clusters):\n",
+ " cl_df = pp_stats.loc[cl.name]\n",
+ " norm_perf_df = cl_df.perf['avg'] * 100.0 / max_perf\n",
+ " norm_power_df = cl_df.power['avg'] * 100.0 / max_power\n",
+ "\n",
+ " x = norm_perf_df.values.tolist()\n",
+ " y = norm_power_df.values.tolist()\n",
+ " ax.plot(x, y, color=color_map[i], marker='o', label=cl.name)\n",
+ "\n",
+ " norm_perf_df = cl_df.perf['max'] * 100.0 / max_perf\n",
+ " norm_power_df = cl_df.power['max'] * 100.0 / max_power\n",
+ "\n",
+ " x = norm_perf_df.values.tolist()\n",
+ " y = norm_power_df.values.tolist()\n",
+ " ax.plot(x, y, '--', color=color_map[-1])\n",
+ "\n",
+ " norm_perf_df = cl_df.perf['min'] * 100.0 / max_perf\n",
+ " norm_power_df = cl_df.power['min'] * 100.0 / max_power\n",
+ "\n",
+ " x = norm_perf_df.values.tolist()\n",
+ " y = norm_power_df.values.tolist()\n",
+ " ax.plot(x, y, '--', color=color_map[-1])\n",
+ "\n",
+ " ax.set_title('JUNO Power VS Performance curves', fontsize=16)\n",
+ " ax.legend()\n",
+ " ax.set_xlabel('Performance [%]')\n",
+ " ax.set_ylabel('Power [%]')\n",
+ " ax.set_xlim(0, 120)\n",
+ " ax.set_ylim(0, 120)\n",
+ " ax.xaxis.set_major_locator(MaxNLocator(integer=True))\n",
+ " ax.yaxis.set_major_locator(MaxNLocator(integer=True))\n",
+ " ax.grid(True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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audIaXaWuoBPd2mKiK0mSJKVnwULYoxM8NAr23SuPJzz1FPTqRdHDDzP6ttso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\nVWD8nFLazCmlyXxS2qraupyXQjeE0BIYCUwgaU+OQC9gHPAosA0wAzg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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f1d8883bb90>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_power_perf(pp_stats, clusters)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Idle States Profiling"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [],
+ "source": [
+ "def compute_idle_power(clusters, loop_cnt, sleep_duration, bkp_file='cstates.csv'):\n",
+ " \"\"\"\n",
+ " Perform C-States profiling on each input cluster.\n",
+ " \n",
+ " Data will be saved into a CSV file at each iteration such that if something\n",
+ " goes wrong the user can restart the experiment considering only idle_states\n",
+ " that had not been processed.\n",
+ " \n",
+ " :param clusters: list of clusters to profile\n",
+ " :type clusters: list(namedtuple(ClusterDescription))\n",
+ " \n",
+ " :param loop_cnt: number of loops for each experiment\n",
+ " :type loop_cnt: int\n",
+ " \n",
+ " :param sleep_duration: sleep time in seconds\n",
+ " :type sleep_duration: int\n",
+ " \n",
+ " :param bkp_file: CSV file name\n",
+ " :type bkp_file: str\n",
+ " \"\"\"\n",
+ "\n",
+ " # Make sure all CPUs are online\n",
+ " target.hotplug.online_all()\n",
+ "\n",
+ " with open(bkp_file, 'w') as csvfile:\n",
+ " writer = DictWriter(csvfile,\n",
+ " fieldnames=['cluster', 'cpus',\n",
+ " 'idle_state', 'energy', 'power'])\n",
+ "\n",
+ " # Disable frequency scaling by setting cpufreq governor to userspace\n",
+ " target.cpufreq.set_all_governors('userspace')\n",
+ "\n",
+ " # A) For each cluster (i.e. frequency domain) to profile...\n",
+ " idle_power = []\n",
+ " for cl in clusters:\n",
+ " target.cgroups.isolate(cl.cpus)\n",
+ "\n",
+ " # C-States profiling requires to plug in CPUs one at the time\n",
+ " for cpu in cl.cpus:\n",
+ " target.hotplug.offline(cpu)\n",
+ "\n",
+ " # B) For each additional cluster's plugged in CPU...\n",
+ " for cnt, cpu in enumerate(cl.cpus):\n",
+ " \n",
+ " # Hotplug ON one more CPU\n",
+ " target.hotplug.online(cpu)\n",
+ " \n",
+ " cl_cpus = set(target.list_online_cpus()).intersection(set(cl.cpus))\n",
+ " logging.info('Cluster {:8} (Online CPUs : {})'\\\n",
+ " .format(cl.name, list(cl_cpus)))\n",
+ "\n",
+ " # C) For each OPP supported by the current cluster\n",
+ " for idle in cl.idle_states:\n",
+ "\n",
+ " # Disable all idle states but the current one\n",
+ " for c in cl.cpus:\n",
+ " target.cpuidle.disable_all(cpu=c)\n",
+ " target.cpuidle.enable(idle, cpu=c)\n",
+ "\n",
+ " # Sleep for the specified duration each time collecting a sample\n",
+ " # of energy consumption and reported performance\n",
+ " energy = 0\n",
+ " for i in xrange(loop_cnt):\n",
+ " te.emeter.reset()\n",
+ " sleep(sleep_duration)\n",
+ " nrg = te.emeter.report(te.res_dir).channels\n",
+ " energy += nrg[cl.emeter_ch]\n",
+ "\n",
+ " # Compute average energy and performance for the current number of\n",
+ " # active CPUs all idle at the current OPP\n",
+ " energy = energy / loop_cnt\n",
+ " power = energy / SLEEP_DURATION\n",
+ " logging.info(' avg_pwr: {:7.3}'\n",
+ " .format(power))\n",
+ "\n",
+ " # Keep track of this new C-State profiling point\n",
+ " new_row = {'cluster': cl.name,\n",
+ " 'cpus': cnt + 1,\n",
+ " 'idle_state': idle,\n",
+ " 'energy': energy,\n",
+ " 'power': power}\n",
+ " idle_power.append(new_row)\n",
+ " \n",
+ " # Save data in a CSV file\n",
+ " writer.writerow(new_row)\n",
+ " \n",
+ " # C) profile next C-State\n",
+ "\n",
+ " # B) add one more CPU (for the current frequency domain)\n",
+ "\n",
+ " # A) profile next cluster (i.e. frequency domain)\n",
+ "\n",
+ " target.hotplug.online_all()\n",
+ "\n",
+ " idle_df = pd.DataFrame(idle_power)\n",
+ " return idle_df.set_index(['cluster', 'idle_state', 'cpus']).sort_index(level='cluster')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-09-08 20:02:42,283 INFO : Cluster big - Online CPUs : set([1])\n",
+ "2016-09-08 20:06:04,376 INFO : Cluster big - Online CPUs : set([1, 2])\n",
+ "2016-09-08 20:09:23,459 INFO : Cluster little - Online CPUs : set([0])\n",
+ "2016-09-08 20:13:10,543 INFO : Cluster little - Online CPUs : set([0, 3])\n",
+ "2016-09-08 20:16:36,396 INFO : Cluster little - Online CPUs : set([0, 3, 4])\n",
+ "2016-09-08 20:20:02,271 INFO : Cluster little - Online CPUs : set([0, 3, 4, 5])\n"
+ ]
+ }
+ ],
+ "source": [
+ "SLEEP_DURATION = 10\n",
+ "loop_cnt = 5\n",
+ "\n",
+ "idle_df = compute_idle_power(clusters, loop_cnt, SLEEP_DURATION)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Statistics"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "WFI = 0\n",
+ "CORE_OFF = 1\n",
+ "\n",
+ "def idle_power_stats(idle_df):\n",
+ " \"\"\"\n",
+ " For each cluster compute per idle state power statistics.\n",
+ " \n",
+ " :param idle_df: dataframe containing power numbers\n",
+ " :type idle_df: :mod:`pandas.DataFrame`\n",
+ " \"\"\"\n",
+ "\n",
+ " stats = []\n",
+ " for cl in clusters:\n",
+ " cl_df = idle_df.loc[cl.name].reset_index()\n",
+ " # Start from deepest idle state\n",
+ " cl_df = cl_df.sort_values('idle_state', ascending=False)\n",
+ " grouped = cl_df.groupby('idle_state', sort=False)\n",
+ " for state, df in grouped:\n",
+ " energy = df.energy\n",
+ " power = df.power\n",
+ " state_name = \"C{}_CLUSTER\".format(state)\n",
+ " if state == CORE_OFF:\n",
+ " core_off_nrg_avg = energy.mean()\n",
+ " core_off_pwr_avg = power.mean()\n",
+ " if state == WFI:\n",
+ " energy = df.energy.diff()\n",
+ " energy[0] = df.energy[0] - core_off_nrg_avg\n",
+ " power = df.power.diff()\n",
+ " power[0] = df.power[0] - core_off_pwr_avg\n",
+ " state_name = \"C0_CORE\"\n",
+ "\n",
+ " avg_row = {'cluster': cl.name,\n",
+ " 'idle_state': state_name,\n",
+ " 'stats': 'avg',\n",
+ " 'energy': energy.mean(),\n",
+ " 'power': power.mean()\n",
+ " }\n",
+ " std_row = {'cluster': cl.name,\n",
+ " 'idle_state': state_name,\n",
+ " 'stats': 'std',\n",
+ " 'energy': energy.std(),\n",
+ " 'power': power.std()\n",
+ " }\n",
+ " min_row = {'cluster' : cl.name,\n",
+ " 'idle_state' : state_name,\n",
+ " 'stats' : 'min',\n",
+ " 'energy' : energy.min(),\n",
+ " 'power' : power.min()\n",
+ " }\n",
+ " max_row = {'cluster' : cl.name,\n",
+ " 'idle_state' : state_name,\n",
+ " 'stats' : 'max',\n",
+ " 'energy' : energy.max(),\n",
+ " 'power' : power.max()\n",
+ " }\n",
+ " c99_row = {'cluster' : cl.name,\n",
+ " 'idle_state' : state_name,\n",
+ " 'stats' : 'c99',\n",
+ " 'energy' : energy.quantile(q=0.99),\n",
+ " 'power' : power.quantile(q=0.99)\n",
+ " }\n",
+ " stats.append(avg_row)\n",
+ " stats.append(std_row)\n",
+ " stats.append(min_row)\n",
+ " stats.append(max_row)\n",
+ " stats.append(c99_row)\n",
+ " \n",
+ " stats_df = pd.DataFrame(stats).set_index(\n",
+ " ['cluster', 'idle_state', 'stats']).sort_index(level='cluster')\n",
+ " return stats_df.unstack()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "idle_stats = idle_power_stats(idle_df)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plots"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def plot_cstates(idle_power_df, cluster):\n",
+ " \"\"\"\n",
+ " Plot C-States profiling for the specified cluster.\n",
+ " \n",
+ " :param idle_power_df: dataframe reporting power values in each idle state\n",
+ " :type idle_power_df: :mod:`pandas.DataFrame`\n",
+ "\n",
+ " :param cluster: cluster description\n",
+ " :type cluster: namedtuple(ClusterDescription)\n",
+ " \"\"\"\n",
+ " n_cpus = len(cluster.cpus)\n",
+ " cmap = ColorMap(len(cluster.idle_states))\n",
+ " color_map = map(cmap.cmap, cluster.idle_states)\n",
+ " color_map = [c for c in color_map for i in xrange(n_cpus)]\n",
+ "\n",
+ " cl_df = idle_power_df.loc[cluster.name]\n",
+ " ax = cl_df.power.plot.bar(figsize=(16,8), color=color_map, alpha=0.5,\n",
+ " legend=False, table=True)\n",
+ "\n",
+ " idx = 0\n",
+ " grouped = cl_df.groupby(level=0)\n",
+ " for state, df in grouped:\n",
+ " x = df.index.get_level_values('cpus').tolist()\n",
+ " y = df.power.tolist()\n",
+ " slope, intercept = linfit(x, y)\n",
+ "\n",
+ " y = [slope * v + intercept for v in x]\n",
+ " x = range(n_cpus * idx, n_cpus * (idx + 1))\n",
+ " ax.plot(x, y, color=color_map[idx*n_cpus], linewidth=4)\n",
+ " idx += 1\n",
+ "\n",
+ " ax.grid(True)\n",
+ " ax.get_xaxis().set_visible(False)\n",
+ " ax.set_ylabel(\"Idle Power [$\\mu$W]\")\n",
+ " ax.set_title(\"JUNO {} cluster C-states profiling\"\\\n",
+ " .format(cluster.name), fontsize=16)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Cr013bfHN6abEr1vAmgBGYjFfI/tz2flh4AC911o7eaFrgH1Ba2265zLvFQbPAJ7psU8A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\nEqwAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f1d88c5f4d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "little = clusters[1]\n",
+ "\n",
+ "plot_cstates(idle_df, little)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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JjRszPj6+qJ9XH9qTFvvz6kN7YuPGTFoqn5+2tra2tra2tvbc2+vXr8+mTZuS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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f1d889a9ad0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "big = clusters[0]\n",
+ "\n",
+ "plot_cstates(idle_df, big)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Energy Model Generation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def pstates_model_df(clusters, pp_stats, power_perf_df, metric='avg'):\n",
+ " \"\"\"\n",
+ " Build two data frames containing data to create the energy model for each\n",
+ " cluster given as input.\n",
+ " \n",
+ " :param clusters: list of clusters to profile\n",
+ " :type clusters: list(namedtuple(ClusterDescription))\n",
+ " \n",
+ " :param pp_stats: power and performance statistics\n",
+ " :type pp_stats: :mod:`pandas.DataFrame`\n",
+ " \n",
+ " :param power_perf_df: power and performance data\n",
+ " :type power_perf_df: :mod:`pandas.DataFrame`\n",
+ " \"\"\"\n",
+ " max_score = pp_stats.perf[metric].max()\n",
+ "\n",
+ " core_cap_energy = []\n",
+ " cluster_cap_energy = []\n",
+ " for cl in clusters:\n",
+ " # ACTIVE Energy\n",
+ " grouped = power_perf_df.loc[cl.name].groupby(level='freq')\n",
+ " for freq, df in grouped:\n",
+ " # Get average energy at OPP freq for 1 CPU\n",
+ " energy_freq_1 = pp_stats.loc[cl.name].loc[freq]['energy'][metric]\n",
+ " # Get cluster energy at OPP freq\n",
+ " x = df.index.get_level_values('cpus').tolist()\n",
+ " y = df.energy.tolist()\n",
+ " slope, intercept = linfit(x, y)\n",
+ " # Energy can't be negative but the regression line may intercept the\n",
+ " # y-axis at a negative value. Im this case cluster energy can be\n",
+ " # assumed to be 0.\n",
+ " cluster_energy = intercept if intercept >= 0.0 else 0.0\n",
+ " core_energy = energy_freq_1 - cluster_energy\n",
+ "\n",
+ " # Get score at OPP freq\n",
+ " score_freq = pp_stats.loc[cl.name].loc[freq]['perf'][metric]\n",
+ " capacity = int(score_freq * 1024 / max_score)\n",
+ "\n",
+ " core_cap_energy.append({'cluster' : cl.name,\n",
+ " 'core': cl.core_name,\n",
+ " 'freq': freq,\n",
+ " 'cap': capacity,\n",
+ " 'energy': core_energy})\n",
+ " cluster_cap_energy.append({'cluster': cl.name,\n",
+ " 'freq': freq,\n",
+ " 'cap': capacity,\n",
+ " 'energy': cluster_energy})\n",
+ "\n",
+ " core_cap_nrg_df = pd.DataFrame(core_cap_energy)\n",
+ " cluster_cap_nrg_df = pd.DataFrame(cluster_cap_energy)\n",
+ " return core_cap_nrg_df, cluster_cap_nrg_df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 790,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "core_cap_nrg_df, cluster_cap_nrg_df = pstates_model_df(clusters,\n",
+ " pp_stats,\n",
+ " power_perf_df)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 791,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>cap</th>\n",
+ " <th>cluster</th>\n",
+ " <th>core</th>\n",
+ " <th>energy</th>\n",
+ " <th>freq</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>511</td>\n",
+ " <td>big</td>\n",
+ " <td>A72</td>\n",
+ " <td>17.789481</td>\n",
+ " <td>600000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>853</td>\n",
+ " <td>big</td>\n",
+ " <td>A72</td>\n",
+ " <td>35.823328</td>\n",
+ " <td>1000000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>1024</td>\n",
+ " <td>big</td>\n",
+ " <td>A72</td>\n",
+ " <td>54.063424</td>\n",
+ " <td>1200000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>214</td>\n",
+ " <td>little</td>\n",
+ " <td>A53</td>\n",
+ " <td>2.006948</td>\n",
+ " <td>450000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>382</td>\n",
+ " <td>little</td>\n",
+ " <td>A53</td>\n",
+ " <td>4.815868</td>\n",
+ " <td>800000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>5</th>\n",
+ " <td>454</td>\n",
+ " <td>little</td>\n",
+ " <td>A53</td>\n",
+ " <td>7.074375</td>\n",
+ " <td>950000</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " cap cluster core energy freq\n",
+ "0 511 big A72 17.789481 600000\n",
+ "1 853 big A72 35.823328 1000000\n",
+ "2 1024 big A72 54.063424 1200000\n",
+ "3 214 little A53 2.006948 450000\n",
+ "4 382 little A53 4.815868 800000\n",
+ "5 454 little A53 7.074375 950000"
+ ]
+ },
+ "execution_count": 791,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "core_cap_nrg_df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 792,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>cap</th>\n",
+ " <th>cluster</th>\n",
+ " <th>energy</th>\n",
+ " <th>freq</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>511</td>\n",
+ " <td>big</td>\n",
+ " <td>3.603797</td>\n",
+ " <td>600000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>853</td>\n",
+ " <td>big</td>\n",
+ " <td>5.473947</td>\n",
+ " <td>1000000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>1024</td>\n",
+ " <td>big</td>\n",
+ " <td>7.764931</td>\n",
+ " <td>1200000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>214</td>\n",
+ " <td>little</td>\n",
+ " <td>3.051592</td>\n",
+ " <td>450000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>382</td>\n",
+ " <td>little</td>\n",
+ " <td>4.941256</td>\n",
+ " <td>800000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>5</th>\n",
+ " <td>454</td>\n",
+ " <td>little</td>\n",
+ " <td>7.347481</td>\n",
+ " <td>950000</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " cap cluster energy freq\n",
+ "0 511 big 3.603797 600000\n",
+ "1 853 big 5.473947 1000000\n",
+ "2 1024 big 7.764931 1200000\n",
+ "3 214 little 3.051592 450000\n",
+ "4 382 little 4.941256 800000\n",
+ "5 454 little 7.347481 950000"
+ ]
+ },
+ "execution_count": 792,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "cluster_cap_nrg_df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 793,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def energy_model_dict(clusters, core_cap_nrg_df, cluster_cap_nrg_df, metric='avg'):\n",
+ " n_states = len(clusters[0].idle_states)\n",
+ "\n",
+ " nrg_dict = {}\n",
+ "\n",
+ " grouped = core_cap_nrg_df.groupby('cluster')\n",
+ " for cl, df in grouped:\n",
+ " nrg_dict[cl] = {\n",
+ " \"opps\" : {},\n",
+ " \"core\": {\n",
+ " \"name\": df.core.iloc[0],\n",
+ " \"busy-cost\": OrderedDict(),\n",
+ " \"idle-cost\": OrderedDict()\n",
+ " },\n",
+ " \"cluster\": {\n",
+ " \"busy-cost\": OrderedDict(),\n",
+ " \"idle-cost\": OrderedDict()\n",
+ " }\n",
+ " }\n",
+ " # Core COSTS\n",
+ " # ACTIVE costs\n",
+ " for row in df.iterrows():\n",
+ " nrg_dict[cl][\"opps\"][row[1].cap] = row[1].freq\n",
+ " nrg_dict[cl][\"core\"][\"busy-cost\"][row[1].cap] = int(row[1].energy)\n",
+ "\n",
+ " # IDLE costs\n",
+ " wfi_nrg = idle_stats.loc[cl].energy[metric][0]\n",
+ " # WFI\n",
+ " nrg_dict[cl][\"core\"][\"idle-cost\"][0] = int(wfi_nrg)\n",
+ " # All remaining states are zeroes\n",
+ " for i in xrange(1, n_states):\n",
+ " nrg_dict[cl][\"core\"][\"idle-cost\"][i] = 0\n",
+ "\n",
+ " # Cluster COSTS\n",
+ " cl_data = cluster_cap_nrg_df[cluster_cap_nrg_df.cluster == cl]\n",
+ " # ACTIVE costs\n",
+ " for row in cl_data.iterrows():\n",
+ " nrg_dict[cl][\"cluster\"][\"busy-cost\"][row[1].cap] = int(row[1].energy)\n",
+ "\n",
+ " # IDLE costs\n",
+ " # Core OFF is the first valid idle cost for cluster\n",
+ " idle_data = idle_stats.loc[cl].energy[metric]\n",
+ " # WFI (same as Core OFF)\n",
+ " nrg_dict[cl][\"cluster\"][\"idle-cost\"][0] = int(idle_data[1])\n",
+ " # All other idle states (from CORE OFF down)\n",
+ " for i in xrange(1, n_states):\n",
+ " nrg_dict[cl][\"cluster\"][\"idle-cost\"][i] = int(idle_data[i])\n",
+ "\n",
+ " return nrg_dict"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 794,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "nrg_dict = energy_model_dict(clusters, core_cap_nrg_df, cluster_cap_nrg_df)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Device Tree EM Format"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 771,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def dump_device_tree(nrg_dict, outfile='sched-energy.dtsi'):\n",
+ " \"\"\"\n",
+ " Generate device tree energy model file.\n",
+ " \n",
+ " :param nrg_dict: dictionary describing the energy model\n",
+ " :type nrg_dict: dict\n",
+ " \n",
+ " :param outfile: output file name\n",
+ " :type outfile: str\n",
+ " \"\"\"\n",
+ " with open(os.path.join(te.res_dir, outfile), 'w') as out:\n",
+ " out.write(\"energy-costs {\\n\")\n",
+ " idx = 0\n",
+ " for cl_name in nrg_dict.keys():\n",
+ " core = nrg_dict[cl_name][\"core\"]\n",
+ " # Dump Core costs\n",
+ " out.write(\"\\tCPU_COST_{}: core_cost{} {}\\n\"\\\n",
+ " .format(core[\"name\"], idx, '{'))\n",
+ " # ACTIVE costs\n",
+ " out.write(\"\\t\\tbusy-cost-data = <\\n\")\n",
+ " for cap, nrg in core[\"busy-cost\"].iteritems():\n",
+ " out.write(\"\\t\\t\\t{} {}\\n\".format(cap, nrg))\n",
+ " out.write(\"\\t\\t>;\\n\")\n",
+ " # IDLE costs\n",
+ " out.write(\"\\t\\tidle-cost-data = <\\n\")\n",
+ " # arch idle\n",
+ " out.write(\"\\t\\t\\t{}\\n\".format(core[\"idle-cost\"][0]))\n",
+ " for nrg in core[\"idle-cost\"].values():\n",
+ " out.write(\"\\t\\t\\t{}\\n\".format(nrg)) \n",
+ " out.write(\"\\t\\t>;\\n\")\n",
+ " out.write(\"\\t};\\n\")\n",
+ "\n",
+ " # Dump Cluster costs\n",
+ " cl = nrg_dict[cl_name][\"cluster\"]\n",
+ " out.write(\"\\tCLUSTER_COST_{}: cluster_cost{} {}\\n\"\\\n",
+ " .format(cl_name, idx, '{'))\n",
+ " # ACTIVE costs\n",
+ " out.write(\"\\t\\tbusy-cost-data = <\\n\")\n",
+ " for cap, nrg in cl[\"busy-cost\"].iteritems():\n",
+ " out.write(\"\\t\\t\\t{} {}\\n\".format(cap, nrg))\n",
+ " out.write(\"\\t\\t>;\\n\")\n",
+ " # IDLE costs\n",
+ " out.write(\"\\t\\tidle-cost-data = <\\n\")\n",
+ " # arch idle\n",
+ " out.write(\"\\t\\t\\t{}\\n\".format(cl[\"idle-cost\"][0]))\n",
+ " for nrg in cl[\"idle-cost\"].values():\n",
+ " out.write(\"\\t\\t\\t{}\\n\".format(nrg))\n",
+ " out.write(\"\\t\\t>;\\n\")\n",
+ " out.write(\"\\t};\\n\")\n",
+ " idx += 1\n",
+ " out.write(\"};\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## C Code EM Format"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 777,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def dump_c_code(nrg_dict, cluster_ids, outfile='energy_model.c'):\n",
+ " \"\"\"\n",
+ " Generate C code energy model file.\n",
+ " \n",
+ " :param nrg_dict: dictionary describing the energy model\n",
+ " :type nrg_dict: dict\n",
+ " \n",
+ " :param cluster_ids: mapping between cluster names and cluster IDs\n",
+ " :type cluster_ids: dict\n",
+ " \n",
+ " :param outfile: output file name\n",
+ " :type outfile: str\n",
+ " \"\"\"\n",
+ " with open(os.path.join(te.res_dir, outfile), 'w') as o:\n",
+ "\n",
+ " core_names = []\n",
+ " for cl_name in nrg_dict.keys():\n",
+ " # Dump Core data\n",
+ " core = nrg_dict[cl_name][\"core\"]\n",
+ " core_names.append(core[\"name\"])\n",
+ " o.write(\"static struct capacity_state cap_states_core_{}[] = {}\\n\"\\\n",
+ " .format(core[\"name\"], '{'))\n",
+ " o.write(\"\\t/* Power per CPU */\\n\")\n",
+ " for cap, nrg in core[\"busy-cost\"].iteritems():\n",
+ " o.write(\"\\t {{ .cap = {:5d}, .power = {:5d}, }},\\n\"\\\n",
+ " .format(cap, nrg))\n",
+ " o.write(\"\\t};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static struct idle_state idle_states_core_{}[] = {}\\n\"\\\n",
+ " .format(core[\"name\"], '{'))\n",
+ " # arch idle (same as WFI)\n",
+ " o.write(\"\\t {{ .power = {:5d}, }},\\n\".format(core[\"idle-cost\"][0]))\n",
+ " for nrg in core[\"idle-cost\"].values():\n",
+ " o.write(\"\\t {{ .power = {:5d}, }},\\n\".format(nrg))\n",
+ " o.write(\"\\t};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " # Dump Cluster data\n",
+ " cl = nrg_dict[cl_name][\"cluster\"]\n",
+ " o.write(\"static struct capacity_state cap_states_cluster_{}[] = {}\\n\"\\\n",
+ " .format(cl_name, '{'))\n",
+ " o.write(\"\\t/* Power per cluster */\\n\")\n",
+ " for cap, nrg in cl[\"busy-cost\"].iteritems():\n",
+ " o.write(\"\\t {{ .cap = {:5d}, .power = {:5d}, }},\\n\"\\\n",
+ " .format(cap, nrg))\n",
+ " o.write(\"\\t};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static struct idle_state idle_states_cluster_{}[] = {}\\n\"\\\n",
+ " .format(cl_name, '{'))\n",
+ " # arch idle (same as Core OFF)\n",
+ " o.write(\"\\t {{ .power = {:5d}, }},\\n\".format(cl[\"idle-cost\"][0]))\n",
+ " for nrg in cl[\"idle-cost\"].values():\n",
+ " o.write(\"\\t {{ .power = {:5d}, }},\\n\".format(nrg))\n",
+ " o.write(\"\\t};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static struct sched_group_energy energy_cluster_{} = {}\\n\"\\\n",
+ " .format(core[\"name\"], '{'))\n",
+ " o.write(\"\\t.nr_idle_states = ARRAY_SIZE(idle_states_cluster_{}),\\n\"\\\n",
+ " .format(core[\"name\"]))\n",
+ " o.write(\"\\t.idle_states = idle_states_cluster_{},\\n\"\\\n",
+ " .format(core[\"name\"]))\n",
+ " o.write(\"\\t.nr_cap_states = ARRAY_SIZE(cap_states_cluster_{}),\\n\"\\\n",
+ " .format(core[\"name\"]))\n",
+ " o.write(\"\\t.cap_states = cap_states_cluster_{},\\n\"\\\n",
+ " .format(core[\"name\"]))\n",
+ " o.write(\"};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " # Array of pointers to CORE sched_group_energy structs\n",
+ " o.write(\"static struct sched_group_energy *energy_cores[] = {\\n\")\n",
+ " for cl_name in cluster_ids.values():\n",
+ " o.write(\"\\t&energy_core_{},\\n\"\\\n",
+ " .format(nrg_dict[cl_name][\"core\"][\"name\"]))\n",
+ " o.write(\"};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " # Array of pointers to CLUSTER sched_group_energy structs\n",
+ " o.write(\"static struct sched_group_energy *energy_clusters[] = {\\n\")\n",
+ " for name in cluster_ids.values():\n",
+ " o.write(\"\\t&energy_cluster_{},\\n\".format(name))\n",
+ " o.write(\"};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static inline\\n\")\n",
+ " o.write(\"const struct sched_group_energy * const cpu_core_energy(int cpu)\\n\")\n",
+ " o.write(\"{\\n\")\n",
+ " o.write(\"\\treturn energy_cores[cpu_topology[cpu].cluster_id];\\n\")\n",
+ " o.write(\"}\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static inline\\n\")\n",
+ " o.write(\"const struct sched_group_energy * const cpu_cluster_energy(int cpu)\\n\")\n",
+ " o.write(\"{\\n\")\n",
+ " o.write(\"\\treturn energy_clusters[cpu_topology[cpu].cluster_id];\\n\")\n",
+ " o.write(\"}\\n\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## JSON EM Format"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def dump_json(nrg_dict, outfile='energy_model.json'):\n",
+ " \"\"\"\n",
+ " Generate JSON energy model file.\n",
+ " \n",
+ " :param nrg_dict: dictionary describing the energy model\n",
+ " :type nrg_dict: dict\n",
+ " \n",
+ " :param outfile: output file name\n",
+ " :type outfile: str\n",
+ " \"\"\"\n",
+ " with open(os.path.join(te.res_dir, outfile), 'w') as ofile:\n",
+ " json.dump(nrg_dict, ofile, sort_keys=True, indent=4)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ },
+ "toc": {
+ "toc_cell": false,
+ "toc_number_sections": true,
+ "toc_threshold": 6,
+ "toc_window_display": true
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/ipynb/energy/EnergyModel_SystemEnergy.ipynb b/ipynb/energy/EnergyModel_SystemEnergy.ipynb
new file mode 100644
index 0000000..6c242d7
--- /dev/null
+++ b/ipynb/energy/EnergyModel_SystemEnergy.ipynb
@@ -0,0 +1,2035 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<center>\n",
+ "<h1>Energy Model Building Flow - Example 2</h1>\n",
+ "<h2>for platforms supporting system-level energy meters</h2>\n",
+ "</center>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook shows how to build an energy model of a HiKey platform running an Android Linux kernel.\n",
+ "\n",
+ "It can be used as a reference implementation of an energy model building flow for platforms<br>\n",
+ "where it's possible to measure the energy consumption at system level, that is either at battery<br>\n",
+ "level or as close as possible to the clusters.\n",
+ "\n",
+ "In this case, it is not enough to isolate the CPUs of the target cluster, but we also have to make<br>\n",
+ "sure that all tasks (except the essential ones) are **frozen** to avoid affecting battery power<br>\n",
+ "measurements. This will be achieved by exploiting the cgroup `freezer` controller."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Configuration"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": true,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [],
+ "source": [
+ "import logging\n",
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline\n",
+ "\n",
+ "import devlib\n",
+ "import json\n",
+ "import matplotlib.pyplot as plt\n",
+ "import numpy as np\n",
+ "import os\n",
+ "import pandas as pd\n",
+ "import re\n",
+ "import trappy\n",
+ "\n",
+ "from collections import namedtuple, OrderedDict\n",
+ "from csv import DictWriter\n",
+ "from env import TestEnv\n",
+ "from matplotlib.ticker import FormatStrFormatter, MaxNLocator\n",
+ "from scipy.stats import linregress\n",
+ "from time import sleep\n",
+ "from trappy.plotter.ColorMap import ColorMap\n",
+ "\n",
+ "# Support for trace events analysis\n",
+ "from trace import Trace\n",
+ "# Import support for Android devices\n",
+ "from android import Screen, Workload, System"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [],
+ "source": [
+ "# Setup a target configuration\n",
+ "my_conf = {\n",
+ " \n",
+ " # Target platform and board\n",
+ " \"platform\" : 'android',\n",
+ " \"board\" : 'hikey',\n",
+ "\n",
+ " \"results_dir\" : \"EnergyModel_SystemEnergy\",\n",
+ "\n",
+ " # Energy Meters Configuration for BayLibre's ACME Cape\n",
+ " \"emeter\" : {\n",
+ " \"instrument\" : \"aep\",\n",
+ " \"conf\" : {\n",
+ " 'resistor_values' : [0.099],\n",
+ " 'device_entry' : '/dev/ttyACM0'\n",
+ " },\n",
+ " \"channel_map\" : {\n",
+ " \"Device0\" : \"BAT\"\n",
+ " }\n",
+ " },\n",
+ "\n",
+ " # Tools required by the experiments\n",
+ " \"tools\" : ['trace-cmd', 'sysbench'],\n",
+ " \"modules\" : ['cpufreq', 'cpuidle', 'hotplug', 'cgroups'],\n",
+ " \n",
+ " # FTrace events to collect for all the tests configuration which have\n",
+ " # the \"ftrace\" flag enabled\n",
+ " \"ftrace\" : {\n",
+ " \"events\" : [\n",
+ " \"cpu_frequency\",\n",
+ " \"cpu_idle\",\n",
+ " \"sched_switch\"\n",
+ " ],\n",
+ " \"buffsize\" : 10 * 1024,\n",
+ " },\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "adbd is already running as root\r\n"
+ ]
+ }
+ ],
+ "source": [
+ "!adb root"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ },
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-09-09 14:03:28,185 INFO : Target - Using base path: /data/lisa\n",
+ "2016-09-09 14:03:28,186 INFO : Target - Loading custom (inline) target configuration\n",
+ "2016-09-09 14:03:28,189 INFO : Target - Devlib modules to load: ['cpuidle', 'cpufreq', 'cgroups', 'hotplug']\n",
+ "2016-09-09 14:03:28,190 INFO : Target - Connecting Android target [DEFAULT]\n",
+ "2016-09-09 14:03:28,191 INFO : Target - Connection settings:\n",
+ "2016-09-09 14:03:28,192 INFO : Target - None\n",
+ "2016-09-09 14:03:28,676 INFO : Target - Initializing target workdir:\n",
+ "2016-09-09 14:03:28,677 INFO : Target - /data/local/tmp/devlib-target\n",
+ "2016-09-09 14:03:32,960 INFO : Target - Topology:\n",
+ "2016-09-09 14:03:32,961 INFO : Target - [[0, 1, 2, 3, 4, 5, 6, 7]]\n",
+ "2016-09-09 14:03:33,356 INFO : FTrace - Enabled tracepoints:\n",
+ "2016-09-09 14:03:33,357 INFO : FTrace - cpu_frequency\n",
+ "2016-09-09 14:03:33,358 INFO : FTrace - cpu_idle\n",
+ "2016-09-09 14:03:33,359 INFO : FTrace - sched_switch\n",
+ "2016-09-09 14:03:33,361 WARNING : TestEnv - Wipe previous contents of the results folder:\n",
+ "2016-09-09 14:03:33,362 WARNING : TestEnv - /data/lisa/results/EnergyModel_SystemEnergy\n",
+ "2016-09-09 14:03:33,365 INFO : AEP - AEP configuration\n",
+ "2016-09-09 14:03:33,366 INFO : AEP - {'instrument': 'aep', 'channel_map': {'Device0': 'BAT'}, 'conf': {'resistor_values': [0.099], 'device_entry': '/dev/ttyACM0'}}\n",
+ "2016-09-09 14:03:33,379 INFO : AEP - Channels selected for energy sampling:\n",
+ "[CHAN(Device0_current), CHAN(Device0_power), CHAN(Device0_voltage)]\n",
+ "2016-09-09 14:03:33,382 INFO : TestEnv - Set results folder to:\n",
+ "2016-09-09 14:03:33,383 INFO : TestEnv - /data/lisa/results/EnergyModel_SystemEnergy\n",
+ "2016-09-09 14:03:33,384 INFO : TestEnv - Experiment results available also in:\n",
+ "2016-09-09 14:03:33,385 INFO : TestEnv - /data/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "# the provided target configuration (my_conf)\n",
+ "te = TestEnv(target_conf=my_conf, force_new=True)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Critical tasks declaration"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Energy measured of a cluster at system-level is affected by noise due the other clusters running in the system. To limit effect of this noise we exploit the `freezer cpuset` controller to freeze the tasks already running in the system. However, we need to be careful not to freeze those tasks that allow us to communicate with the target.\n",
+ "\n",
+ "Hence, we define here-below a list of tasks called *CRITICAL* that must not be frozen."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [],
+ "source": [
+ "# Lists of critical tasks for each platform\n",
+ "CRITICAL_TASKS = {\n",
+ " 'linux': [\"init\", \"sh\"],\n",
+ " 'android': [\"/system/bin/sh\", \"adbd\", \"/init\"]\n",
+ " }"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Energy Model Parameters (CPUs, OPPs and Idle States)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": true,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [],
+ "source": [
+ "# The EM reports capacity and energy consumption for each frequency domain.\n",
+ "# The frequency domains to be considered by the following EM building flow\n",
+ "# are described by the parameters of this named tuple\n",
+ "ClusterDescription = namedtuple('ClusterDescription',\n",
+ " ['name', 'emeter_ch', 'core_name',\n",
+ " 'cpus', 'freqs', 'idle_states'])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Being Hikey a SMP platform we can limit the scope of the experiment to one cluster only and then replicate the code by hand."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": []
+ }
+ ],
+ "source": [
+ "clusters = [\n",
+ " ClusterDescription(\n",
+ " # Name of the cluster\n",
+ " name = \"PD_0\",\n",
+ " # Name of the energy meter channel as specified in the target configuration\n",
+ " emeter_ch = \"Device0\",\n",
+ " # Name of the cores in the cluster\n",
+ " core_name = \"A53_PD_0\",\n",
+ " # List of cores in the cluster\n",
+ " cpus = [0, 1, 2, 3],\n",
+ " # List of frequencies available in the cluster\n",
+ " freqs = [208000, 432000, 729000, 960000, 1200000],\n",
+ " # List of idle states available in the cluster\n",
+ " idle_states = range(len(target.cpuidle.get_states()))\n",
+ " ),\n",
+ "# ClusterDescription(\"PD_1\",\n",
+ "# \"Device0\",\n",
+ "# \"A53_PD_1\",\n",
+ "# [4, 5, 6, 7],\n",
+ "# [208000, 432000, 729000, 960000, 1200000],\n",
+ "# range(len(target.cpuidle.get_states()))\n",
+ "# )\n",
+ "]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[ClusterDescription(name='PD_0', emeter_ch='Device0', core_name='A53_PD_0', cpus=[0, 1, 2, 3], freqs=[208000, 432000, 729000, 960000, 1200000], idle_states=[0, 1, 2])]"
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "clusters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [],
+ "source": [
+ "# Mapping between cluster names and cluster IDs\n",
+ "cluster_ids = OrderedDict([\n",
+ " (0, 'PD_0'),\n",
+ "# (1, 'PD_1')\n",
+ " ])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Benchmark example"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [],
+ "source": [
+ "class Sysbench(object):\n",
+ " \"\"\"\n",
+ " Sysbench benchmark class.\n",
+ " \n",
+ " :param duration: maximum workload duration in seconds\n",
+ " :type duration: int\n",
+ " \"\"\"\n",
+ " sysbench_path = \"/data/local/tmp/bin/sysbench\"\n",
+ " \n",
+ " def __init__(self, target, duration):\n",
+ " self.target = target\n",
+ " self.duration = duration\n",
+ "\n",
+ " def run(self, cgroup, threads):\n",
+ " \"\"\"\n",
+ " Run benchmark using the specified number of 'threads'\n",
+ " to be executed under the specified 'cgroup'.\n",
+ " \n",
+ " :param cgroup: cgroup where to run the benchmark on\n",
+ " :type cgroup: str\n",
+ " \n",
+ " :param threads: number of threads to spawn\n",
+ " :type threads: int\n",
+ " \n",
+ " :returns: float - performance score\n",
+ " \"\"\"\n",
+ " bench_out = self.target.cgroups.run_into(\n",
+ " cgroup,\n",
+ " \"{} --test=cpu --num-threads={} --max-time={} run\"\n",
+ " .format(self.sysbench_path, threads, self.duration)\n",
+ " )\n",
+ " match = re.search(r'(total number of events:\\s*)([\\d.]*)', bench_out)\n",
+ " return float(match.group(2))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Utility Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 135,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ }
+ },
+ "outputs": [],
+ "source": [
+ "def linfit(x, y):\n",
+ " slope, intercept, r, p, stderr = linregress(x, y)\n",
+ " return slope, intercept"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Energy Model Building"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Active States Profiling"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [],
+ "source": [
+ "def compute_power_perf(clusters, loop_cnt, benchmark, bkp_file='pstates.csv'):\n",
+ " \"\"\"\n",
+ " Perform P-States profiling on each input cluster.\n",
+ " \n",
+ " This method requires a `benchmark` object with the following\n",
+ " characteristics:\n",
+ " \n",
+ " - duration, attribute that tells the workload duration in seconds\n",
+ " - run(cgroup, threads), run the benchmark into the specified 'cgroup',\n",
+ " spawning the specified number of 'threads',\n",
+ " and return a performance score of their execution.\n",
+ " \n",
+ " Data will be saved into a CSV file at each iteration such that, if something\n",
+ " goes wrong, the user can restart the experiment considering only idle_states\n",
+ " that had not yet been profiled.\n",
+ " \n",
+ " :param clusters: list of clusters to profile\n",
+ " :type clusters: list(namedtuple(ClusterDescription))\n",
+ " \n",
+ " :param loop_cnt: number of iterations for each experiment\n",
+ " :type loop_cnt: int\n",
+ " \n",
+ " :param benchmark: benchmark object\n",
+ " :type benchmark: int\n",
+ " \n",
+ " :param bkp_file: CSV file name\n",
+ " :type bkp_file: str\n",
+ " \"\"\"\n",
+ "\n",
+ " # Make sure all CPUs are online\n",
+ " target.hotplug.online_all()\n",
+ "\n",
+ " # Set cpufreq governor to userpace to allow manual frequency scaling\n",
+ " target.cpufreq.set_all_governors('userspace')\n",
+ " \n",
+ " with open(bkp_file, 'w') as csvfile:\n",
+ " writer = DictWriter(csvfile,\n",
+ " fieldnames=['cluster', 'cpus', 'freq',\n",
+ " 'perf', 'energy', 'power'])\n",
+ "\n",
+ " # Freeze all userspace tasks\n",
+ " target.cgroups.freeze(exclude=CRITICAL_TASKS['android'])\n",
+ "\n",
+ " # A) For each cluster (i.e. frequency domain) to profile...\n",
+ " power_perf = []\n",
+ " for cl in clusters:\n",
+ " target_cg, _ = target.cgroups.isolate(cl.cpus)\n",
+ "\n",
+ " # P-States profiling requires to plug in CPUs one at the time\n",
+ " for cpu in cl.cpus:\n",
+ " target.hotplug.offline(cpu)\n",
+ "\n",
+ " # B) For each additional cluster's plugged in CPU...\n",
+ " on_cpus = []\n",
+ " for cnt, cpu in enumerate(cl.cpus):\n",
+ " \n",
+ " # Hotplug ON one more CPU\n",
+ " target.hotplug.online(cpu)\n",
+ " on_cpus.append(cpu)\n",
+ " \n",
+ " # Ensure online CPUs are part of the target cgroup\n",
+ " # (in case hotplug OFF removes it)\n",
+ " target_cg.set(cpus=on_cpus)\n",
+ " cl_cpus = set(target.list_online_cpus()).intersection(set(cl.cpus))\n",
+ " logging.info('Cluster {:8} (Online CPUs : {})'\\\n",
+ " .format(cl.name, list(cl_cpus)))\n",
+ "\n",
+ " # C) For each OPP supported by the current cluster\n",
+ " for freq in cl.freqs:\n",
+ "\n",
+ " # Set frequency to freq for current CPU\n",
+ " target.cpufreq.set_frequency(cpu, freq)\n",
+ "\n",
+ " # Run the benchmark for the specified number of iterations each time\n",
+ " # collecting a sample of energy consumption and reported performance\n",
+ " energy = 0.0\n",
+ " perf = 0.0\n",
+ " for i in xrange(loop_cnt):\n",
+ " te.emeter.reset()\n",
+ " # Run benchmark into the LISA_EM_TARGET cgroup\n",
+ " perf += benchmark.run(target_cg.name, cnt + 1)\n",
+ " nrg = te.emeter.report(te.res_dir).channels\n",
+ " energy += float(nrg[cl.emeter_ch])\n",
+ " sleep(1)\n",
+ "\n",
+ " # Compute average energy and performance for the current number of\n",
+ " # active CPUs all running at the current OPP\n",
+ " perf = perf / loop_cnt\n",
+ " energy = energy / loop_cnt\n",
+ " power = energy / benchmark.duration\n",
+ "\n",
+ " # Keep track of this new P-State profiling point\n",
+ " new_row = {'cluster': cl.name,\n",
+ " 'cpus': cnt + 1,\n",
+ " 'freq': freq,\n",
+ " 'perf': perf,\n",
+ " 'energy' : energy,\n",
+ " 'power': power}\n",
+ " power_perf.append(new_row)\n",
+ "\n",
+ " # Save data in a CSV file\n",
+ " writer.writerow(new_row)\n",
+ " \n",
+ " # C) profile next P-State\n",
+ "\n",
+ " # B) add one more CPU (for the current frequency domain)\n",
+ "\n",
+ " # A) Profile next cluster (i.e. frequency domain)\n",
+ " \n",
+ " # Thaw all frozen tasks\n",
+ " target.cgroups.freeze(thaw=True)\n",
+ "\n",
+ " target.hotplug.online_all()\n",
+ "\n",
+ " power_perf_df = pd.DataFrame(power_perf)\n",
+ " return power_perf_df.set_index(['cluster', 'freq', 'cpus']).sort_index(level='cluster')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-09-09 14:08:59,775 INFO : Cluster PD_0 - Online CPUs : set([0])\n",
+ "2016-09-09 14:14:05,620 INFO : Cluster PD_0 - Online CPUs : set([0, 1])\n",
+ "2016-09-09 14:19:10,296 INFO : Cluster PD_0 - Online CPUs : set([0, 1, 2])\n",
+ "2016-09-09 14:24:14,730 INFO : Cluster PD_0 - Online CPUs : set([0, 1, 2, 3])\n"
+ ]
+ }
+ ],
+ "source": [
+ "sysbench = Sysbench(target, 10)\n",
+ "loop_cnt = 5\n",
+ "\n",
+ "power_perf_df = compute_power_perf(clusters, loop_cnt, sysbench)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def plot_pstates(power_perf_df, cluster):\n",
+ " \"\"\"\n",
+ " Plot P-States profiling for the specified cluster.\n",
+ " \n",
+ " :param power_perf_df: DataFrame reporting power and performance values\n",
+ " :type power_perf_df: :mod:`pandas.DataFrame`\n",
+ " \n",
+ " :param cluster: cluster description\n",
+ " :type cluster: namedtuple(ClusterDescription)\n",
+ " \"\"\"\n",
+ " cmap = ColorMap(len(cluster.freqs))\n",
+ " color_map = map(cmap.cmap, range(len(cluster.freqs)))\n",
+ " color_map = dict(zip(cluster.freqs, color_map))\n",
+ " \n",
+ " fig, ax = plt.subplots(1, 1, figsize=(16, 10))\n",
+ " \n",
+ " grouped = power_perf_df.loc[cluster.name].groupby(level='freq')\n",
+ " for freq, df in grouped:\n",
+ " x = df.index.get_level_values('cpus').tolist()\n",
+ " y = df.power.tolist()\n",
+ " slope, intercept = linfit(x, y)\n",
+ " x.insert(0, 0)\n",
+ " y.insert(0, intercept)\n",
+ " # Plot linear fit of the points\n",
+ " ax.plot(x, [slope*i + intercept for i in x], color=color_map[freq])\n",
+ " # Plot measured points\n",
+ " ax.scatter(x, y, color=color_map[freq], label='{} kHz'.format(freq))\n",
+ "\n",
+ " ax.set_title('HiKey {} cluster P-States profiling'.format(cluster.name),\n",
+ " fontsize=16)\n",
+ " ax.legend()\n",
+ " ax.set_xlabel('Active cores')\n",
+ " ax.set_ylabel('Power [$\\mu$W]')\n",
+ " ax.set_xlim(-0.5, len(cluster.cpus)+1)\n",
+ " ax.xaxis.set_major_locator(MaxNLocator(integer=True))\n",
+ " ax.yaxis.set_major_formatter(FormatStrFormatter('%.2f'))\n",
+ " ax.grid(True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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YmMioUaNYtmwZzZs3L/G9rpTalf6OIiIiIiLiKvnn4ODzkPpX6PS2k+xWNWfY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\nAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f64281acad0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pd0_cl = clusters[0]\n",
+ "\n",
+ "plot_pstates(power_perf_df, pd0_cl)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Statistics"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def power_perf_stats(power_perf_df):\n",
+ " \"\"\"\n",
+ " For each cluster compute per-OPP power and performance statistics.\n",
+ " \n",
+ " :param power_perf_df: dataframe containing power and performance numbers\n",
+ " :type power_perf_df: :mod:`pandas.DataFrame`\n",
+ " \"\"\"\n",
+ " clusters = power_perf_df.index.get_level_values('cluster')\\\n",
+ " .unique().tolist()\n",
+ "\n",
+ " stats = [] \n",
+ " for cl in clusters:\n",
+ " cl_power_df = power_perf_df.loc[cl].reset_index()\n",
+ "\n",
+ " grouped = cl_power_df.groupby('freq')\n",
+ " for freq, df in grouped:\n",
+ " perf = df['perf'] / df['cpus']\n",
+ " power = df['power'] / df['cpus']\n",
+ " energy = df['energy'] / df['cpus']\n",
+ "\n",
+ " avg_row = {'cluster': cl,\n",
+ " 'freq': freq,\n",
+ " 'stats': 'avg',\n",
+ " 'perf': perf.mean(),\n",
+ " 'power': power.mean(),\n",
+ " 'energy': energy.mean()\n",
+ " }\n",
+ " std_row = {'cluster': cl,\n",
+ " 'freq': freq,\n",
+ " 'stats': 'std',\n",
+ " 'perf': perf.std(),\n",
+ " 'power': power.std(),\n",
+ " 'energy': energy.std()\n",
+ " }\n",
+ " min_row = {'cluster': cl,\n",
+ " 'freq': freq,\n",
+ " 'stats': 'min',\n",
+ " 'perf': perf.min(),\n",
+ " 'power': power.min(),\n",
+ " 'energy': energy.min()\n",
+ " }\n",
+ " max_row = {'cluster' : cl,\n",
+ " 'freq' : freq,\n",
+ " 'stats' : 'max',\n",
+ " 'perf' : perf.max(),\n",
+ " 'power' : power.max(),\n",
+ " 'energy': energy.max()\n",
+ " }\n",
+ " c99_row = {'cluster' : cl,\n",
+ " 'freq' : freq,\n",
+ " 'stats' : 'c99',\n",
+ " 'perf' : perf.quantile(q=0.99),\n",
+ " 'power' : power.quantile(q=0.99),\n",
+ " 'energy': energy.quantile(q=0.99)\n",
+ " }\n",
+ "\n",
+ " stats.append(avg_row)\n",
+ " stats.append(std_row)\n",
+ " stats.append(min_row)\n",
+ " stats.append(max_row)\n",
+ " stats.append(c99_row)\n",
+ " \n",
+ " stats_df = pd.DataFrame(stats).set_index(['cluster', 'freq', 'stats'])\\\n",
+ " .sort_index(level='cluster')\n",
+ " return stats_df.unstack()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "pp_stats = power_perf_stats(power_perf_df)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plots"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def plot_power_perf(pp_stats, clusters):\n",
+ " cmap = ColorMap(len(clusters) + 1)\n",
+ " color_map = map(cmap.cmap, range(len(clusters) + 1))\n",
+ " \n",
+ " fig, ax = plt.subplots(1, 1, figsize=(16, 10))\n",
+ "\n",
+ " max_perf = pp_stats.perf['avg'].max()\n",
+ " max_power = pp_stats.power['avg'].max()\n",
+ "\n",
+ " for i, cl in enumerate(clusters):\n",
+ " cl_df = pp_stats.loc[cl.name]\n",
+ " norm_perf_df = cl_df.perf['avg'] * 100.0 / max_perf\n",
+ " norm_power_df = cl_df.power['avg'] * 100.0 / max_power\n",
+ "\n",
+ " x = norm_perf_df.values.tolist()\n",
+ " y = norm_power_df.values.tolist()\n",
+ " ax.plot(x, y, color=color_map[i], marker='o', label=cl.name)\n",
+ "\n",
+ " norm_perf_df = cl_df.perf['max'] * 100.0 / max_perf\n",
+ " norm_power_df = cl_df.power['max'] * 100.0 / max_power\n",
+ "\n",
+ " x = norm_perf_df.values.tolist()\n",
+ " y = norm_power_df.values.tolist()\n",
+ " ax.plot(x, y, '--', color=color_map[-1])\n",
+ "\n",
+ " norm_perf_df = cl_df.perf['min'] * 100.0 / max_perf\n",
+ " norm_power_df = cl_df.power['min'] * 100.0 / max_power\n",
+ "\n",
+ " x = norm_perf_df.values.tolist()\n",
+ " y = norm_power_df.values.tolist()\n",
+ " ax.plot(x, y, '--', color=color_map[-1])\n",
+ "\n",
+ " ax.set_title('HyKey Power VS Performance curves', fontsize=16)\n",
+ " ax.legend()\n",
+ " ax.set_xlabel('Performance [%]')\n",
+ " ax.set_ylabel('Power [%]')\n",
+ " ax.set_xlim(0, 120)\n",
+ " ax.set_ylim(0, 120)\n",
+ " ax.xaxis.set_major_locator(MaxNLocator(integer=True))\n",
+ " ax.yaxis.set_major_locator(MaxNLocator(integer=True))\n",
+ " ax.grid(True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Ouf9+Bqy0UtbhqcyVdI9uJ1mxSpKkqtVKZFaRj0Oh8J9Uqq4aMeLLIhegD3DC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\noVjoSpIkSZIayv8Hcu8baKWGBTcAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f6420fdec10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_power_perf(pp_stats, clusters)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Idle States Profiling"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ },
+ "scrolled": true
+ },
+ "outputs": [],
+ "source": [
+ "def compute_idle_power(clusters, loop_cnt, sleep_duration, bkp_file='cstates.csv'):\n",
+ " \"\"\"\n",
+ " Perform C-States profiling on each input cluster.\n",
+ " \n",
+ " Data will be saved into a CSV file at each iteration such that if something\n",
+ " goes wrong the user can restart the experiment considering only idle_states\n",
+ " that had not been processed.\n",
+ " \n",
+ " :param clusters: list of clusters to profile\n",
+ " :type clusters: list(namedtuple(ClusterDescription))\n",
+ " \n",
+ " :param loop_cnt: number of loops for each experiment\n",
+ " :type loop_cnt: int\n",
+ " \n",
+ " :param sleep_duration: sleep time in seconds\n",
+ " :type sleep_duration: int\n",
+ " \n",
+ " :param bkp_file: CSV file name\n",
+ " :type bkp_file: str\n",
+ " \"\"\"\n",
+ "\n",
+ " # Make sure all CPUs are online\n",
+ " target.hotplug.online_all()\n",
+ "\n",
+ " with open(bkp_file, 'w') as csvfile:\n",
+ " writer = DictWriter(csvfile, fieldnames=['cluster', 'cpus',\n",
+ " 'idle_state', 'energy', 'power'])\n",
+ "\n",
+ " # Disable frequency scaling by setting cpufreq governor to userspace\n",
+ " target.cpufreq.set_all_governors('userspace')\n",
+ "\n",
+ " # Freeze all tasks but the ones to communicate with the target\n",
+ " target.cgroups.freeze(exclude=CRITICAL_TASKS['android'])\n",
+ "\n",
+ " all_cpus = set(range(target.number_of_cpus))\n",
+ " idle_power = []\n",
+ " for cl in clusters:\n",
+ "\n",
+ " # In current cluster, hotplug OFF all CPUs but the first one\n",
+ " # At least one CPU must be online\n",
+ " target.hotplug.online(cl.cpus[0])\n",
+ " for cpu in cl.cpus[1:]:\n",
+ " target.hotplug.offline(cpu)\n",
+ "\n",
+ " other_cpus = list(all_cpus - set(cl.cpus))\n",
+ " # CPUs in the other clusters will be kept hotplugged OFF\n",
+ " # to not affect measurements on the current cluster\n",
+ " for cpu in other_cpus:\n",
+ " target.hotplug.offline(cpu)\n",
+ "\n",
+ " # B) For each additional cluster's plugged in CPU...\n",
+ " for cnt, cpu in enumerate(cl.cpus):\n",
+ " \n",
+ " # Hotplug ON one more CPU\n",
+ " target.hotplug.online(cpu)\n",
+ " \n",
+ " cl_cpus = set(target.list_online_cpus()).intersection(set(cl.cpus))\n",
+ " logging.info('Cluster {:8} (Online CPUs : {})'\\\n",
+ " .format(cl.name, list(cl_cpus)))\n",
+ "\n",
+ " for idle in cl.idle_states:\n",
+ "\n",
+ " # Disable all idle states but the current one\n",
+ " for c in cl.cpus:\n",
+ " target.cpuidle.disable_all(cpu=c)\n",
+ " target.cpuidle.enable(idle, cpu=c)\n",
+ "\n",
+ " sleep(3)\n",
+ " # Sleep for the specified duration each time collecting a sample\n",
+ " # of energy consumption and reported performance\n",
+ " energy = 0.0\n",
+ " for i in xrange(loop_cnt):\n",
+ " te.emeter.reset()\n",
+ " sleep(sleep_duration)\n",
+ " nrg = te.emeter.report(te.res_dir).channels\n",
+ " energy += float(nrg[cl.emeter_ch])\n",
+ "\n",
+ " # Compute average energy and performance for the current number of\n",
+ " # active CPUs all idle at the current OPP\n",
+ " energy = energy / loop_cnt\n",
+ " power = energy / SLEEP_DURATION\n",
+ "\n",
+ " # Keep track of this new C-State profiling point\n",
+ " new_row = {'cluster': cl.name,\n",
+ " 'cpus': cnt + 1,\n",
+ " 'idle_state': idle,\n",
+ " 'energy': energy,\n",
+ " 'power': power}\n",
+ " idle_power.append(new_row)\n",
+ "\n",
+ " # Save data in a CSV file\n",
+ " writer.writerow(new_row)\n",
+ " \n",
+ " # C) profile next C-State\n",
+ "\n",
+ " # B) add one more CPU (for the current frequency domain)\n",
+ "\n",
+ " # A) profile next cluster (i.e. frequency domain)\n",
+ "\n",
+ " # Thaw all tasks in the freezer cgroup\n",
+ " target.cgroups.freeze(thaw=True)\n",
+ " target.hotplug.online_all()\n",
+ "\n",
+ " idle_df = pd.DataFrame(idle_power)\n",
+ " return idle_df.set_index(['cluster', 'idle_state', 'cpus']).sort_index(level='cluster')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 37,
+ "metadata": {
+ "collapsed": false,
+ "run_control": {
+ "marked": false
+ },
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-09-09 14:52:14,747 INFO : Cluster PD_0 - Online CPUs : set([0])\n",
+ "2016-09-09 14:55:11,721 INFO : Cluster PD_0 - Online CPUs : set([0, 1])\n",
+ "2016-09-09 14:58:08,616 INFO : Cluster PD_0 - Online CPUs : set([0, 1, 2])\n",
+ "2016-09-09 15:01:05,259 INFO : Cluster PD_0 - Online CPUs : set([0, 1, 2, 3])\n"
+ ]
+ }
+ ],
+ "source": [
+ "SLEEP_DURATION = 10\n",
+ "loop_cnt = 5\n",
+ "\n",
+ "idle_df = compute_idle_power(clusters, loop_cnt, SLEEP_DURATION)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th>energy</th>\n",
+ " <th>power</th>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>cluster</th>\n",
+ " <th>idle_state</th>\n",
+ " <th>cpus</th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th rowspan=\"12\" valign=\"top\">PD_0</th>\n",
+ " <th rowspan=\"4\" valign=\"top\">0</th>\n",
+ " <th>1</th>\n",
+ " <td>1.615466</td>\n",
+ " <td>0.161547</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>1.660321</td>\n",
+ " <td>0.166032</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>1.721711</td>\n",
+ " <td>0.172171</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>1.774200</td>\n",
+ " <td>0.177420</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th rowspan=\"4\" valign=\"top\">1</th>\n",
+ " <th>1</th>\n",
+ " <td>1.551541</td>\n",
+ " <td>0.155154</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>1.549942</td>\n",
+ " <td>0.154994</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>1.557366</td>\n",
+ " <td>0.155737</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>1.561172</td>\n",
+ " <td>0.156117</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th rowspan=\"4\" valign=\"top\">2</th>\n",
+ " <th>1</th>\n",
+ " <td>1.256227</td>\n",
+ " <td>0.125623</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>1.608698</td>\n",
+ " <td>0.160870</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>1.257657</td>\n",
+ " <td>0.125766</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>1.260770</td>\n",
+ " <td>0.126077</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " energy power\n",
+ "cluster idle_state cpus \n",
+ "PD_0 0 1 1.615466 0.161547\n",
+ " 2 1.660321 0.166032\n",
+ " 3 1.721711 0.172171\n",
+ " 4 1.774200 0.177420\n",
+ " 1 1 1.551541 0.155154\n",
+ " 2 1.549942 0.154994\n",
+ " 3 1.557366 0.155737\n",
+ " 4 1.561172 0.156117\n",
+ " 2 1 1.256227 0.125623\n",
+ " 2 1.608698 0.160870\n",
+ " 3 1.257657 0.125766\n",
+ " 4 1.260770 0.126077"
+ ]
+ },
+ "execution_count": 41,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "idle_df"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Idle Power Statistics"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 42,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "WFI = 0\n",
+ "CORE_OFF = 1\n",
+ "\n",
+ "def idle_power_stats(idle_df):\n",
+ " \"\"\"\n",
+ " For each cluster compute per idle state power statistics.\n",
+ " \n",
+ " :param idle_df: dataframe containing power numbers\n",
+ " :type idle_df: :mod:`pandas.DataFrame`\n",
+ " \"\"\"\n",
+ "\n",
+ " stats = []\n",
+ " for cl in clusters:\n",
+ " cl_df = idle_df.loc[cl.name].reset_index()\n",
+ " # Start from deepest idle state\n",
+ " cl_df = cl_df.sort_values('idle_state', ascending=False)\n",
+ " grouped = cl_df.groupby('idle_state', sort=False)\n",
+ " for state, df in grouped:\n",
+ " energy = df.energy\n",
+ " power = df.power\n",
+ " state_name = \"C{}_CLUSTER\".format(state)\n",
+ " if state == CORE_OFF:\n",
+ " core_off_nrg_avg = energy.mean()\n",
+ " core_off_pwr_avg = power.mean()\n",
+ " if state == WFI:\n",
+ " energy = df.energy.diff()\n",
+ " energy[0] = df.energy[0] - core_off_nrg_avg\n",
+ " power = df.power.diff()\n",
+ " power[0] = df.power[0] - core_off_pwr_avg\n",
+ " state_name = \"C0_CORE\"\n",
+ "\n",
+ " avg_row = {'cluster': cl.name,\n",
+ " 'idle_state': state_name,\n",
+ " 'stats': 'avg',\n",
+ " 'energy': energy.mean(),\n",
+ " 'power': power.mean()\n",
+ " }\n",
+ " std_row = {'cluster': cl.name,\n",
+ " 'idle_state': state_name,\n",
+ " 'stats': 'std',\n",
+ " 'energy': energy.std(),\n",
+ " 'power': power.std()\n",
+ " }\n",
+ " min_row = {'cluster' : cl.name,\n",
+ " 'idle_state' : state_name,\n",
+ " 'stats' : 'min',\n",
+ " 'energy' : energy.min(),\n",
+ " 'power' : power.min()\n",
+ " }\n",
+ " max_row = {'cluster' : cl.name,\n",
+ " 'idle_state' : state_name,\n",
+ " 'stats' : 'max',\n",
+ " 'energy' : energy.max(),\n",
+ " 'power' : power.max()\n",
+ " }\n",
+ " c99_row = {'cluster' : cl.name,\n",
+ " 'idle_state' : state_name,\n",
+ " 'stats' : 'c99',\n",
+ " 'energy' : energy.quantile(q=0.99),\n",
+ " 'power' : power.quantile(q=0.99)\n",
+ " }\n",
+ " stats.append(avg_row)\n",
+ " stats.append(std_row)\n",
+ " stats.append(min_row)\n",
+ " stats.append(max_row)\n",
+ " stats.append(c99_row)\n",
+ " \n",
+ " stats_df = pd.DataFrame(stats).set_index(\n",
+ " ['cluster', 'idle_state', 'stats']).sort_index(level='cluster')\n",
+ " return stats_df.unstack()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 103,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "idle_stats = idle_power_stats(idle_df)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plotting Idle power"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 44,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def plot_cstates(idle_power_df, cluster):\n",
+ " \"\"\"\n",
+ " Plot C-States profiling for the specified cluster.\n",
+ " \n",
+ " :param idle_power_df: dataframe reporting power values in each idle state\n",
+ " :type idle_power_df: :mod:`pandas.DataFrame`\n",
+ "\n",
+ " :param cluster: cluster description\n",
+ " :type cluster: namedtuple(ClusterDescription)\n",
+ " \"\"\"\n",
+ " n_cpus = len(cluster.cpus)\n",
+ " cmap = ColorMap(len(cluster.idle_states))\n",
+ " color_map = map(cmap.cmap, cluster.idle_states)\n",
+ " color_map = [c for c in color_map for i in xrange(n_cpus)]\n",
+ "\n",
+ " cl_df = idle_power_df.loc[cluster.name]\n",
+ " ax = cl_df.power.plot.bar(figsize=(16,8), color=color_map, alpha=0.5,\n",
+ " legend=False, table=True)\n",
+ "\n",
+ " idx = 0\n",
+ " grouped = cl_df.groupby(level=0)\n",
+ " for state, df in grouped:\n",
+ " x = df.index.get_level_values('cpus').tolist()\n",
+ " y = df.power.tolist()\n",
+ " slope, intercept = linfit(x, y)\n",
+ "\n",
+ " y = [slope * v + intercept for v in x]\n",
+ " x = range(n_cpus * idx, n_cpus * (idx + 1))\n",
+ " ax.plot(x, y, color=color_map[idx*n_cpus], linewidth=4)\n",
+ " idx += 1\n",
+ "\n",
+ " ax.grid(True)\n",
+ " ax.get_xaxis().set_visible(False)\n",
+ " ax.set_ylabel(\"Idle Power [$\\mu$W]\")\n",
+ " ax.set_title(\"{} cluster C-states profiling\"\\\n",
+ " .format(cluster.name), fontsize=16)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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U9d07WNTbyfZQeZiqTo9P/e/zbhif2na3jE9te6g8zAm05/032q7qhvGpbXfL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\nAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7feaa83b23d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pd0 = clusters[0]\n",
+ "\n",
+ "plot_cstates(idle_df, pd0)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Energy Model Generation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 123,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def pstates_model_df(clusters, pp_stats, power_perf_df, metric='avg'):\n",
+ " \"\"\"\n",
+ " Build two data frames containing data to create the energy model for each\n",
+ " cluster given as input.\n",
+ " \n",
+ " :param clusters: list of clusters to profile\n",
+ " :type clusters: list(namedtuple(ClusterDescription))\n",
+ " \n",
+ " :param pp_stats: power and performance statistics\n",
+ " :type pp_stats: :mod:`pandas.DataFrame`\n",
+ " \n",
+ " :param power_perf_df: power and performance data\n",
+ " :type power_perf_df: :mod:`pandas.DataFrame`\n",
+ " \"\"\"\n",
+ " max_score = pp_stats.perf[metric].max()\n",
+ "\n",
+ " core_cap_energy = []\n",
+ " cluster_cap_energy = []\n",
+ " for cl in clusters:\n",
+ " # ACTIVE Energy\n",
+ " grouped = power_perf_df.loc[cl.name].groupby(level='freq')\n",
+ " for freq, df in grouped:\n",
+ " # Get average energy at OPP freq for 1 CPU\n",
+ " energy_freq_1 = pp_stats.loc[cl.name].loc[freq]['energy'][metric]\n",
+ " # Get cluster energy at OPP freq\n",
+ " x = df.index.get_level_values('cpus').tolist()\n",
+ " y = df.energy.tolist()\n",
+ " slope, intercept = linfit(x, y)\n",
+ " # Energy can't be negative but the regression line may intercept the\n",
+ " # y-axis at a negative value. Im this case cluster energy can be\n",
+ " # assumed to be 0.\n",
+ " cluster_energy = intercept if intercept >= 0.0 else 0.0\n",
+ " core_energy = energy_freq_1 - cluster_energy\n",
+ " #core_energy = cluster_energy\n",
+ "\n",
+ " # Get score at OPP freq\n",
+ " score_freq = pp_stats.loc[cl.name].loc[freq]['perf'][metric]\n",
+ " capacity = int(score_freq * 1024 / max_score)\n",
+ "\n",
+ " core_cap_energy.append({'cluster' : cl.name,\n",
+ " 'core': cl.core_name,\n",
+ " 'freq': freq,\n",
+ " 'cap': capacity,\n",
+ " 'energy': core_energy})\n",
+ " cluster_cap_energy.append({'cluster': cl.name,\n",
+ " 'freq': freq,\n",
+ " 'cap': capacity,\n",
+ " 'energy': cluster_energy})\n",
+ "\n",
+ " core_cap_nrg_df = pd.DataFrame(core_cap_energy)\n",
+ " cluster_cap_nrg_df = pd.DataFrame(cluster_cap_energy)\n",
+ " return core_cap_nrg_df, cluster_cap_nrg_df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 125,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "core_cap_nrg_df, cluster_cap_nrg_df = pstates_model_df(clusters,\n",
+ " pp_stats,\n",
+ " power_perf_df,\n",
+ " metric='avg'\n",
+ " )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 126,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>cap</th>\n",
+ " <th>cluster</th>\n",
+ " <th>core</th>\n",
+ " <th>energy</th>\n",
+ " <th>freq</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>175</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>-0.487181</td>\n",
+ " <td>208000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>369</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>-0.364934</td>\n",
+ " <td>432000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>626</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>-0.173280</td>\n",
+ " <td>729000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>823</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>0.124791</td>\n",
+ " <td>960000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>1024</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>0.575753</td>\n",
+ " <td>1200000</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " cap cluster core energy freq\n",
+ "0 175 PD_0 A53_PD_0 -0.487181 208000\n",
+ "1 369 PD_0 A53_PD_0 -0.364934 432000\n",
+ "2 626 PD_0 A53_PD_0 -0.173280 729000\n",
+ "3 823 PD_0 A53_PD_0 0.124791 960000\n",
+ "4 1024 PD_0 A53_PD_0 0.575753 1200000"
+ ]
+ },
+ "execution_count": 126,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "core_cap_nrg_df"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In this case, taking the average energy consumed by a core does not provide a nice result because the energy measured while running with $n$ CPUs **is not** $n \\times Energy\\_of\\_one\\_CPU$.\n",
+ "\n",
+ "For this reason, we will use a different metric, like for instance the 99th percentile."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 127,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "core_cap_nrg_df, cluster_cap_nrg_df = pstates_model_df(clusters,\n",
+ " pp_stats,\n",
+ " power_perf_df,\n",
+ " metric='c99'\n",
+ " )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 128,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>cap</th>\n",
+ " <th>cluster</th>\n",
+ " <th>core</th>\n",
+ " <th>energy</th>\n",
+ " <th>freq</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>175</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>0.122582</td>\n",
+ " <td>208000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>369</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>0.237698</td>\n",
+ " <td>432000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>625</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>0.443248</td>\n",
+ " <td>729000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>822</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>0.746307</td>\n",
+ " <td>960000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>1024</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>A53_PD_0</td>\n",
+ " <td>1.250150</td>\n",
+ " <td>1200000</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " cap cluster core energy freq\n",
+ "0 175 PD_0 A53_PD_0 0.122582 208000\n",
+ "1 369 PD_0 A53_PD_0 0.237698 432000\n",
+ "2 625 PD_0 A53_PD_0 0.443248 729000\n",
+ "3 822 PD_0 A53_PD_0 0.746307 960000\n",
+ "4 1024 PD_0 A53_PD_0 1.250150 1200000"
+ ]
+ },
+ "execution_count": 128,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "core_cap_nrg_df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 129,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>cap</th>\n",
+ " <th>cluster</th>\n",
+ " <th>energy</th>\n",
+ " <th>freq</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>175</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>1.336880</td>\n",
+ " <td>208000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>369</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>1.319919</td>\n",
+ " <td>432000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>625</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>1.357663</td>\n",
+ " <td>729000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>822</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>1.370620</td>\n",
+ " <td>960000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>1024</td>\n",
+ " <td>PD_0</td>\n",
+ " <td>1.493721</td>\n",
+ " <td>1200000</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " cap cluster energy freq\n",
+ "0 175 PD_0 1.336880 208000\n",
+ "1 369 PD_0 1.319919 432000\n",
+ "2 625 PD_0 1.357663 729000\n",
+ "3 822 PD_0 1.370620 960000\n",
+ "4 1024 PD_0 1.493721 1200000"
+ ]
+ },
+ "execution_count": 129,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "cluster_cap_nrg_df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 130,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def energy_model_dict(clusters, core_cap_nrg_df, cluster_cap_nrg_df, metric='avg'):\n",
+ " n_states = len(clusters[0].idle_states)\n",
+ "\n",
+ " nrg_dict = {}\n",
+ "\n",
+ " grouped = core_cap_nrg_df.groupby('cluster')\n",
+ " for cl, df in grouped:\n",
+ " nrg_dict[cl] = {\n",
+ " \"opps\" : {},\n",
+ " \"core\": {\n",
+ " \"name\": df.core.iloc[0],\n",
+ " \"busy-cost\": OrderedDict(),\n",
+ " \"idle-cost\": OrderedDict()\n",
+ " },\n",
+ " \"cluster\": {\n",
+ " \"busy-cost\": OrderedDict(),\n",
+ " \"idle-cost\": OrderedDict()\n",
+ " }\n",
+ " }\n",
+ " # Core COSTS\n",
+ " # ACTIVE costs\n",
+ " for row in df.iterrows():\n",
+ " nrg_dict[cl][\"opps\"][row[1].cap] = row[1].freq\n",
+ " nrg_dict[cl][\"core\"][\"busy-cost\"][row[1].cap] = int(row[1].energy*100)\n",
+ "\n",
+ " # IDLE costs\n",
+ " wfi_nrg = idle_stats.loc[cl].energy[metric][0]\n",
+ " # WFI\n",
+ " nrg_dict[cl][\"core\"][\"idle-cost\"][0] = int(wfi_nrg*100)\n",
+ " # All remaining states are zeroes\n",
+ " for i in xrange(1, n_states):\n",
+ " nrg_dict[cl][\"core\"][\"idle-cost\"][i] = 0\n",
+ "\n",
+ " # Cluster COSTS\n",
+ " cl_data = cluster_cap_nrg_df[cluster_cap_nrg_df.cluster == cl]\n",
+ " # ACTIVE costs\n",
+ " for row in cl_data.iterrows():\n",
+ " nrg_dict[cl][\"cluster\"][\"busy-cost\"][row[1].cap] = int(row[1].energy*100)\n",
+ "\n",
+ " # IDLE costs\n",
+ " # Core OFF is the first valid idle cost for cluster\n",
+ " idle_data = idle_stats.loc[cl].energy[metric]\n",
+ " # WFI (same as Core OFF)\n",
+ " nrg_dict[cl][\"cluster\"][\"idle-cost\"][0] = int(idle_data[1]*100)\n",
+ " # All other idle states (from CORE OFF down)\n",
+ " for i in xrange(1, n_states):\n",
+ " nrg_dict[cl][\"cluster\"][\"idle-cost\"][i] = int(idle_data[i]*100)\n",
+ "\n",
+ " return nrg_dict"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 131,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "nrg_dict = energy_model_dict(clusters, core_cap_nrg_df, cluster_cap_nrg_df)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Device Tree EM Format"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 70,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def dump_device_tree(nrg_dict, outfile='sched-energy.dtsi'):\n",
+ " \"\"\"\n",
+ " Generate device tree energy model file.\n",
+ " \n",
+ " :param nrg_dict: dictionary describing the energy model\n",
+ " :type nrg_dict: dict\n",
+ " \n",
+ " :param outfile: output file name\n",
+ " :type outfile: str\n",
+ " \"\"\"\n",
+ " with open(os.path.join(te.res_dir, outfile), 'w') as out:\n",
+ " out.write(\"energy-costs {\\n\")\n",
+ " idx = 0\n",
+ " for cl_name in nrg_dict.keys():\n",
+ " core = nrg_dict[cl_name][\"core\"]\n",
+ " # Dump Core costs\n",
+ " out.write(\"\\tCPU_COST_{}: core_cost{} {}\\n\"\\\n",
+ " .format(core[\"name\"], idx, '{'))\n",
+ " # ACTIVE costs\n",
+ " out.write(\"\\t\\tbusy-cost-data = <\\n\")\n",
+ " for cap, nrg in core[\"busy-cost\"].iteritems():\n",
+ " out.write(\"\\t\\t\\t{} {}\\n\".format(cap, nrg))\n",
+ " out.write(\"\\t\\t>;\\n\")\n",
+ " # IDLE costs\n",
+ " out.write(\"\\t\\tidle-cost-data = <\\n\")\n",
+ " # arch idle\n",
+ " out.write(\"\\t\\t\\t{}\\n\".format(core[\"idle-cost\"][0]))\n",
+ " for nrg in core[\"idle-cost\"].values():\n",
+ " out.write(\"\\t\\t\\t{}\\n\".format(nrg)) \n",
+ " out.write(\"\\t\\t>;\\n\")\n",
+ " out.write(\"\\t};\\n\")\n",
+ "\n",
+ " # Dump Cluster costs\n",
+ " cl = nrg_dict[cl_name][\"cluster\"]\n",
+ " out.write(\"\\tCLUSTER_COST_{}: cluster_cost{} {}\\n\"\\\n",
+ " .format(cl_name, idx, '{'))\n",
+ " # ACTIVE costs\n",
+ " out.write(\"\\t\\tbusy-cost-data = <\\n\")\n",
+ " for cap, nrg in cl[\"busy-cost\"].iteritems():\n",
+ " out.write(\"\\t\\t\\t{} {}\\n\".format(cap, nrg))\n",
+ " out.write(\"\\t\\t>;\\n\")\n",
+ " # IDLE costs\n",
+ " out.write(\"\\t\\tidle-cost-data = <\\n\")\n",
+ " # arch idle\n",
+ " out.write(\"\\t\\t\\t{}\\n\".format(cl[\"idle-cost\"][0]))\n",
+ " for nrg in cl[\"idle-cost\"].values():\n",
+ " out.write(\"\\t\\t\\t{}\\n\".format(nrg))\n",
+ " out.write(\"\\t\\t>;\\n\")\n",
+ " out.write(\"\\t};\\n\")\n",
+ " idx += 1\n",
+ " out.write(\"};\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## C Code EM Format"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 71,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def dump_c_code(nrg_dict, cluster_ids, outfile='energy_model.c'):\n",
+ " \"\"\"\n",
+ " Generate C code energy model file.\n",
+ " \n",
+ " :param nrg_dict: dictionary describing the energy model\n",
+ " :type nrg_dict: dict\n",
+ " \n",
+ " :param cluster_ids: mapping between cluster names and cluster IDs\n",
+ " :type cluster_ids: dict\n",
+ " \n",
+ " :param outfile: output file name\n",
+ " :type outfile: str\n",
+ " \"\"\"\n",
+ " with open(os.path.join(te.res_dir, outfile), 'w') as o:\n",
+ "\n",
+ " core_names = []\n",
+ " for cl_name in nrg_dict.keys():\n",
+ " # Dump Core data\n",
+ " core = nrg_dict[cl_name][\"core\"]\n",
+ " core_names.append(core[\"name\"])\n",
+ " o.write(\"static struct capacity_state cap_states_core_{}[] = {}\\n\"\\\n",
+ " .format(core[\"name\"], '{'))\n",
+ " o.write(\"\\t/* Power per CPU */\\n\")\n",
+ " for cap, nrg in core[\"busy-cost\"].iteritems():\n",
+ " o.write(\"\\t {{ .cap = {:5d}, .power = {:5d}, }},\\n\"\\\n",
+ " .format(cap, nrg))\n",
+ " o.write(\"\\t};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static struct idle_state idle_states_core_{}[] = {}\\n\"\\\n",
+ " .format(core[\"name\"], '{'))\n",
+ " # arch idle (same as WFI)\n",
+ " o.write(\"\\t {{ .power = {:5d}, }},\\n\".format(core[\"idle-cost\"][0]))\n",
+ " for nrg in core[\"idle-cost\"].values():\n",
+ " o.write(\"\\t {{ .power = {:5d}, }},\\n\".format(nrg))\n",
+ " o.write(\"\\t};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " # Dump Cluster data\n",
+ " cl = nrg_dict[cl_name][\"cluster\"]\n",
+ " o.write(\"static struct capacity_state cap_states_cluster_{}[] = {}\\n\"\\\n",
+ " .format(cl_name, '{'))\n",
+ " o.write(\"\\t/* Power per cluster */\\n\")\n",
+ " for cap, nrg in cl[\"busy-cost\"].iteritems():\n",
+ " o.write(\"\\t {{ .cap = {:5d}, .power = {:5d}, }},\\n\"\\\n",
+ " .format(cap, nrg))\n",
+ " o.write(\"\\t};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static struct idle_state idle_states_cluster_{}[] = {}\\n\"\\\n",
+ " .format(cl_name, '{'))\n",
+ " # arch idle (same as Core OFF)\n",
+ " o.write(\"\\t {{ .power = {:5d}, }},\\n\".format(cl[\"idle-cost\"][0]))\n",
+ " for nrg in cl[\"idle-cost\"].values():\n",
+ " o.write(\"\\t {{ .power = {:5d}, }},\\n\".format(nrg))\n",
+ " o.write(\"\\t};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static struct sched_group_energy energy_cluster_{} = {}\\n\"\\\n",
+ " .format(core[\"name\"], '{'))\n",
+ " o.write(\"\\t.nr_idle_states = ARRAY_SIZE(idle_states_cluster_{}),\\n\"\\\n",
+ " .format(core[\"name\"]))\n",
+ " o.write(\"\\t.idle_states = idle_states_cluster_{},\\n\"\\\n",
+ " .format(core[\"name\"]))\n",
+ " o.write(\"\\t.nr_cap_states = ARRAY_SIZE(cap_states_cluster_{}),\\n\"\\\n",
+ " .format(core[\"name\"]))\n",
+ " o.write(\"\\t.cap_states = cap_states_cluster_{},\\n\"\\\n",
+ " .format(core[\"name\"]))\n",
+ " o.write(\"};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " # Array of pointers to CORE sched_group_energy structs\n",
+ " o.write(\"static struct sched_group_energy *energy_cores[] = {\\n\")\n",
+ " for cl_name in cluster_ids.values():\n",
+ " o.write(\"\\t&energy_core_{},\\n\"\\\n",
+ " .format(nrg_dict[cl_name][\"core\"][\"name\"]))\n",
+ " o.write(\"};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " # Array of pointers to CLUSTER sched_group_energy structs\n",
+ " o.write(\"static struct sched_group_energy *energy_clusters[] = {\\n\")\n",
+ " for name in cluster_ids.values():\n",
+ " o.write(\"\\t&energy_cluster_{},\\n\".format(name))\n",
+ " o.write(\"};\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static inline\\n\")\n",
+ " o.write(\"const struct sched_group_energy * const cpu_core_energy(int cpu)\\n\")\n",
+ " o.write(\"{\\n\")\n",
+ " o.write(\"\\treturn energy_cores[cpu_topology[cpu].cluster_id];\\n\")\n",
+ " o.write(\"}\\n\")\n",
+ "\n",
+ " o.write(\"\\n\")\n",
+ "\n",
+ " o.write(\"static inline\\n\")\n",
+ " o.write(\"const struct sched_group_energy * const cpu_cluster_energy(int cpu)\\n\")\n",
+ " o.write(\"{\\n\")\n",
+ " o.write(\"\\treturn energy_clusters[cpu_topology[cpu].cluster_id];\\n\")\n",
+ " o.write(\"}\\n\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## JSON EM Format"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 72,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def dump_json(nrg_dict, outfile='energy_model.json'):\n",
+ " \"\"\"\n",
+ " Generate JSON energy model file.\n",
+ " \n",
+ " :param nrg_dict: dictionary describing the energy model\n",
+ " :type nrg_dict: dict\n",
+ " \n",
+ " :param outfile: output file name\n",
+ " :type outfile: str\n",
+ " \"\"\"\n",
+ " with open(os.path.join(te.res_dir, outfile), 'w') as ofile:\n",
+ " json.dump(nrg_dict, ofile, sort_keys=True, indent=4)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 133,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "dump_device_tree(nrg_dict)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 134,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "energy-costs {\r\n",
+ "\tCPU_COST_A53_PD_0: core_cost0 {\r\n",
+ "\t\tbusy-cost-data = <\r\n",
+ "\t\t\t175 12\r\n",
+ "\t\t\t369 23\r\n",
+ "\t\t\t625 44\r\n",
+ "\t\t\t822 74\r\n",
+ "\t\t\t1024 125\r\n",
+ "\t\t>;\r\n",
+ "\t\tidle-cost-data = <\r\n",
+ "\t\t\t5\r\n",
+ "\t\t\t5\r\n",
+ "\t\t\t0\r\n",
+ "\t\t\t0\r\n",
+ "\t\t>;\r\n",
+ "\t};\r\n",
+ "\tCLUSTER_COST_PD_0: cluster_cost0 {\r\n",
+ "\t\tbusy-cost-data = <\r\n",
+ "\t\t\t175 133\r\n",
+ "\t\t\t369 131\r\n",
+ "\t\t\t625 135\r\n",
+ "\t\t\t822 137\r\n",
+ "\t\t\t1024 149\r\n",
+ "\t\t>;\r\n",
+ "\t\tidle-cost-data = <\r\n",
+ "\t\t\t155\r\n",
+ "\t\t\t155\r\n",
+ "\t\t\t155\r\n",
+ "\t\t\t125\r\n",
+ "\t\t>;\r\n",
+ "\t};\r\n",
+ "};"
+ ]
+ }
+ ],
+ "source": [
+ "!cat ./sched-energy.dtsi"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ },
+ "toc": {
+ "toc_cell": false,
+ "toc_number_sections": true,
+ "toc_threshold": 6,
+ "toc_window_display": true
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/ipynb/examples/android/benchmarks/Android_Jankbench.ipynb b/ipynb/examples/android/benchmarks/Android_Jankbench.ipynb
new file mode 100644
index 0000000..9dab249
--- /dev/null
+++ b/ipynb/examples/android/benchmarks/Android_Jankbench.ipynb
@@ -0,0 +1,744 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Jankbench benchmark on Android\n",
+ "\n",
+ "Most devices today refresh their screens 60 times a second. If there’s an animation or transition running, or the user is scrolling, applications need to match the device’s refresh rate and put up a new picture, or frame, for each of those screen refreshes.\n",
+ "When one fails to meet this budget - 16.6 ms, the frame rate drops, and the content judders on screen. This is often referred to as jank, and it negatively impacts the user's experience.\n",
+ "\n",
+ "This benchmark is used to count the jank frames for different types of activities: list and image list view fling, text render, text editing, etc. Also **ftraces** are captured during the benchmark run and represented at the end of the notebook."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:22:49,689 INFO : root : Using LISA logging configuration:\n",
+ "2017-03-06 12:22:49,689 INFO : root : /home/vagrant/lisa/logging.conf\n"
+ ]
+ }
+ ],
+ "source": [
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Populating the interactive namespace from numpy and matplotlib\n"
+ ]
+ }
+ ],
+ "source": [
+ "%pylab inline\n",
+ "\n",
+ "import json\n",
+ "import os\n",
+ "\n",
+ "# Support to access the remote target\n",
+ "import devlib\n",
+ "from env import TestEnv\n",
+ "\n",
+ "# Import support for Android devices\n",
+ "from android import Screen, Workload\n",
+ "\n",
+ "# Support for trace events analysis\n",
+ "from trace import Trace\n",
+ "\n",
+ "# Suport for FTrace events parsing and visualization\n",
+ "import trappy\n",
+ "\n",
+ "import pandas as pd\n",
+ "import sqlite3"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Support Functions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This function helps us run our experiments:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def experiment():\n",
+ " \n",
+ " # Configure governor\n",
+ " target.cpufreq.set_all_governors('sched')\n",
+ " \n",
+ " # Get workload\n",
+ " wload = Workload.getInstance(te, 'Jankbench')\n",
+ " \n",
+ " # Run Jankbench workload\n",
+ " wload.run(te.res_dir, test_name='list_view', iterations=1, collect='ftrace')\n",
+ " \n",
+ " # Dump platform descriptor\n",
+ " te.platform_dump(te.res_dir)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Test environment setup\n",
+ "For more details on this please check out **examples/utils/testenv_example.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**devlib** requires the ANDROID_HOME environment variable configured to point to your local installation of the Android SDK. If you have not this variable configured in the shell used to start the notebook server, you need to run a cell to define where your Android SDK is installed or specify the ANDROID_HOME in your target configuration."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In case more than one Android device are conencted to the host, you must specify the ID of the device you want to target in **my_target_conf**. Run **adb devices** on your host to get the ID."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Setup target configuration\n",
+ "my_conf = {\n",
+ "\n",
+ " # Target platform and board\n",
+ " \"platform\" : 'android',\n",
+ " \"board\" : 'pixel',\n",
+ " \n",
+ " # Device\n",
+ " \"device\" : \"FA6A10306347\",\n",
+ " \n",
+ " # Android home\n",
+ " \"ANDROID_HOME\" : \"/home/vagrant/lisa/tools/android-sdk-linux/\",\n",
+ "\n",
+ " # Folder where all the results will be collected\n",
+ " \"results_dir\" : \"Jankbench_example\",\n",
+ "\n",
+ " # Define devlib modules to load\n",
+ " \"modules\" : [\n",
+ " 'cpufreq' # enable CPUFreq support\n",
+ " ],\n",
+ "\n",
+ " # FTrace events to collect for all the tests configuration which have\n",
+ " # the \"ftrace\" flag enabled\n",
+ " \"ftrace\" : {\n",
+ " \"events\" : [\n",
+ " \"sched_switch\",\n",
+ " \"sched_wakeup\",\n",
+ " \"sched_wakeup_new\",\n",
+ " \"sched_overutilized\",\n",
+ " \"sched_load_avg_cpu\",\n",
+ " \"sched_load_avg_task\",\n",
+ " \"cpu_capacity\",\n",
+ " \"cpu_frequency\",\n",
+ " ],\n",
+ " \"buffsize\" : 100 * 1024,\n",
+ " },\n",
+ "\n",
+ " # Tools required by the experiments\n",
+ " \"tools\" : [ 'trace-cmd', 'taskset'],\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:22:55,673 INFO : TestEnv : Using base path: /home/vagrant/lisa\n",
+ "2017-03-06 12:22:55,674 INFO : TestEnv : Loading custom (inline) target configuration\n",
+ "2017-03-06 12:22:55,674 INFO : TestEnv : External tools using:\n",
+ "2017-03-06 12:22:55,675 INFO : TestEnv : ANDROID_HOME: /home/vagrant/lisa/tools/android-sdk-linux/\n",
+ "2017-03-06 12:22:55,675 INFO : TestEnv : CATAPULT_HOME: /home/vagrant/lisa/tools/catapult\n",
+ "2017-03-06 12:22:55,675 INFO : TestEnv : Devlib modules to load: ['bl', 'cpufreq']\n",
+ "2017-03-06 12:22:55,676 INFO : TestEnv : Connecting Android target [FA6A10306347]\n",
+ "2017-03-06 12:22:55,676 INFO : TestEnv : Connection settings:\n",
+ "2017-03-06 12:22:55,676 INFO : TestEnv : {'device': 'FA6A10306347'}\n",
+ "2017-03-06 12:22:55,807 INFO : android : ls command is set to ls -1\n",
+ "2017-03-06 12:22:56,369 INFO : TestEnv : Initializing target workdir:\n",
+ "2017-03-06 12:22:56,372 INFO : TestEnv : /data/local/tmp/devlib-target\n",
+ "2017-03-06 12:22:58,050 INFO : TestEnv : Topology:\n",
+ "2017-03-06 12:22:58,053 INFO : TestEnv : [[0, 1], [2, 3]]\n",
+ "2017-03-06 12:22:58,170 INFO : TestEnv : Loading default EM:\n",
+ "2017-03-06 12:22:58,172 INFO : TestEnv : /home/vagrant/lisa/libs/utils/platforms/pixel.json\n",
+ "2017-03-06 12:22:58,717 INFO : TestEnv : Enabled tracepoints:\n",
+ "2017-03-06 12:22:58,720 INFO : TestEnv : sched_switch\n",
+ "2017-03-06 12:22:58,721 INFO : TestEnv : sched_wakeup\n",
+ "2017-03-06 12:22:58,721 INFO : TestEnv : sched_wakeup_new\n",
+ "2017-03-06 12:22:58,722 INFO : TestEnv : sched_overutilized\n",
+ "2017-03-06 12:22:58,722 INFO : TestEnv : sched_load_avg_cpu\n",
+ "2017-03-06 12:22:58,723 INFO : TestEnv : sched_load_avg_task\n",
+ "2017-03-06 12:22:58,723 INFO : TestEnv : cpu_capacity\n",
+ "2017-03-06 12:22:58,724 INFO : TestEnv : cpu_frequency\n",
+ "2017-03-06 12:22:58,725 INFO : TestEnv : Set results folder to:\n",
+ "2017-03-06 12:22:58,725 INFO : TestEnv : /home/vagrant/lisa/results/Jankbench_example\n",
+ "2017-03-06 12:22:58,726 INFO : TestEnv : Experiment results available also in:\n",
+ "2017-03-06 12:22:58,726 INFO : TestEnv : /home/vagrant/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "te = TestEnv(my_conf, wipe=False)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Workloads execution\n",
+ "\n",
+ "This is done using the **experiment** helper function defined above which is configured to run a **Jankbench - list view fling** experiment."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:23:01,463 INFO : Workload : Supported workloads available on target:\n",
+ "2017-03-06 12:23:01,466 INFO : Workload : vellamo, youtube, jankbench, uibench, geekbench\n",
+ "2017-03-06 12:23:04,489 INFO : Screen : Force manual orientation\n",
+ "2017-03-06 12:23:04,491 INFO : Screen : Set orientation: PORTRAIT\n",
+ "2017-03-06 12:23:05,278 INFO : Jankbench : am start -n \"com.android.benchmark/.app.RunLocalBenchmarksActivity\" --eia \"com.android.benchmark.EXTRA_ENABLED_BENCHMARK_IDS\" 0 --ei \"com.android.benchmark.EXTRA_RUN_COUNT\" 1\n",
+ "2017-03-06 12:23:05,659 INFO : Jankbench : adb -s FA6A10306347 logcat ActivityManager:* System.out:I *:S BENCH:*\n",
+ "2017-03-06 12:23:05,825 INFO : Jankbench : FTrace START\n",
+ "2017-03-06 12:23:40,925 INFO : Jankbench : Mean: 43.012 JankP: 0.061 StdDev: 40.420 Count Bad: 3 Count Jank: 1\n",
+ "2017-03-06 12:23:42,406 INFO : Jankbench : FTrace STOP\n",
+ "2017-03-06 12:23:47,926 INFO : Screen : Set orientation: AUTO\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Intialize Workloads for this test environment\n",
+ "results = experiment()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Results collection"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "DB[ sched ]: 1636 rows imported\n"
+ ]
+ }
+ ],
+ "source": [
+ "def import_db(path):\n",
+ " # Selection of columns of interest\n",
+ " COLS = ['_id', 'name', 'run_id', 'iteration', 'total_duration', 'jank_frame']\n",
+ " data = []\n",
+ " db = '{}/{}'.format(te.res_dir, 'BenchmarkResults')\n",
+ " conn = sqlite3.connect(db)\n",
+ " for row in conn.execute('SELECT {} FROM ui_results'.format(','.join(COLS))):\n",
+ " row = ('sched', ) + row\n",
+ " data.append(row)\n",
+ " print \"DB[ {} ]: {:6d} rows imported\".format('sched', len(data))\n",
+ " return pd.DataFrame(data, columns=['test', ] + COLS)\n",
+ "\n",
+ "df = import_db(te.res_dir)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Benchmark plots and statistics\n",
+ "\n",
+ "All the plots below represent total duration statistics for all the frames, in different ways."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th colspan=\"9\" halign=\"left\">total_duration</th>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th>count</th>\n",
+ " <th>mean</th>\n",
+ " <th>std</th>\n",
+ " <th>min</th>\n",
+ " <th>50%</th>\n",
+ " <th>90%</th>\n",
+ " <th>95%</th>\n",
+ " <th>99%</th>\n",
+ " <th>max</th>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>name</th>\n",
+ " <th>test</th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>List View Fling</th>\n",
+ " <th>sched</th>\n",
+ " <td>1636.0</td>\n",
+ " <td>4.653936</td>\n",
+ " <td>2.362408</td>\n",
+ " <td>2.953617</td>\n",
+ " <td>4.396287</td>\n",
+ " <td>5.838117</td>\n",
+ " <td>6.405031</td>\n",
+ " <td>7.712081</td>\n",
+ " <td>88.78284</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " total_duration \\\n",
+ " count mean std min 50% \n",
+ "name test \n",
+ "List View Fling sched 1636.0 4.653936 2.362408 2.953617 4.396287 \n",
+ "\n",
+ " \n",
+ " 90% 95% 99% max \n",
+ "name test \n",
+ "List View Fling sched 5.838117 6.405031 7.712081 88.78284 "
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "def overall_statistics(df):\n",
+ " byname_test = df.groupby(['name','test']).total_duration.describe(percentiles=[0.9, 0.95, 0.99])\n",
+ " stats = pd.DataFrame(byname_test)\n",
+ " stats = stats.unstack()\n",
+ " return stats\n",
+ "\n",
+ "stats = overall_statistics(df)\n",
+ "stats"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fa4d6f683d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def total_duration_plot(data):\n",
+ " fig, axes = plt.subplots(figsize=(16,8))\n",
+ " bp = data.boxplot(by=['name','test'], column='total_duration', ax=axes, return_type='dict')\n",
+ " fig.suptitle('')\n",
+ " xlabels = [item.get_text() for item in axes.xaxis.get_ticklabels()]\n",
+ " axes.set_xticklabels(xlabels, rotation=90)\n",
+ " axes.set_ylim(0,20)\n",
+ " axes.set_ylabel('ms');\n",
+ "\n",
+ "total_duration_plot(data = df)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fa4d6f2be10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def total_duration_cumulative_distribution(df):\n",
+ " fig, axes = plt.subplots()\n",
+ " plt.axhline(y=16, linewidth=2, color='r', linestyle='--')\n",
+ " colors = iter(cm.rainbow(np.linspace(0, 1, 1)))\n",
+ " df = pd.DataFrame(sorted(df.total_duration))\n",
+ " df.plot(\n",
+ " figsize=(16,8),\n",
+ " ax=axes,\n",
+ " color=next(colors),\n",
+ " linewidth=2,\n",
+ " ylim=(0,80),\n",
+ " legend=False);\n",
+ "\n",
+ " plt.legend(('16ms',) + tuple(['sched']), loc='best');\n",
+ " \n",
+ "total_duration_cumulative_distribution(df)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Traces - Latency analysis\n",
+ "\n",
+ "For more information on this please check **examples/trace_analysis/TraceAnalysis_TasksLatencies.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:24:48,552 INFO : Trace : Platform clusters verified to be Frequency coherent\n"
+ ]
+ },
+ {
+ "data": {
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+ " * You may obtain a copy of the License at\n",
+ " *\n",
+ " * http://www.apache.org/licenses/LICENSE-2.0\n",
+ " *\n",
+ " * Unless required by applicable law or agreed to in writing, software\n",
+ " * distributed under the License is distributed on an \"AS IS\" BASIS,\n",
+ " * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
+ " * See the License for the specific language governing permissions and\n",
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+ " req([\"require\", \"EventPlot\"], function() { /* TRAPPY_PUBLISH_REMOVE_LINE */\n",
+ " EventPlot.generate('fig_5e5dd20cee8f4b69bafcd947eb6ac249', '/nbextensions/', {\"lanes\": [{\"id\": 0, \"label\": \"CPU :0\"}, {\"id\": 1, \"label\": \"CPU :1\"}, {\"id\": 2, \"label\": \"CPU :2\"}, {\"id\": 3, \"label\": \"CPU :3\"}], \"colorMap\": null, \"keys\": [\"adbd-31958\", \"netmgrd-31890\", \"su-31967\", \"sh-31878\", \"HeapTaskDaemon-27058\", \"su-31971\", \"adbd-31964\", \"HeapTaskDaemon-31816\", \"AsyncTask #1-31957\", \"netmgrd-31897\", \"sh-31968\", \"su-31961\", \"droid.benchmark-31957\", \"FinalizerDaemon-2226\", \"netmgrd-31898\", \"netmgrd-31895\", \"sh-31958\", \"Jit thread pool-31810\", \"CpuTracker-1207\", \"HeapTaskDaemon-23673\", \"ueventd-405\", \"msm_irqbalance-595\", \"shutils-31962\", \"FinalizerDaemon-31814\", \"sh-31961\", \"HeapTaskDaemon-2228\", \"shutils-31963\", \"HeapTaskDaemon-31631\", \"Binder:26165_1-26177\", \"android.bg-1140\", \"sh-31967\", \"HeapTaskDaemon-1074\", \"surfaceflinger-488\", \"Binder:26165_3-26273\", \"sh-31875\", \"HeapTaskDaemon-31614\", \"HeapTaskDaemon-21519\", \"adbd-31968\", \"sh-31971\", \"Binder:593_3-1081\", \"RenderThread-1718\", \"Binder:593_1-614\", \"HeapTaskDaemon-2049\", \"Binder:26976_4-27291\", \"AutomatorThread-31872\", \"healthd-591\", \"Binder:26976_5-27544\", \"sh-31960\", \"Binder:593_2-617\", \"PackageManager-1241\", \"rild-31915\", \"sh-31966\", \"ndroid.systemui-1516\", \"Binder:26165_2-26178\", \"sh-31962\", \"tc-31899\", \"sh-31970\", \"su-31878\", \"d.process.media-26976\", \"HeapTaskDaemon-1667\", \"FinalizerDaemon-27056\", \"system-54\", \"android.fg-1203\", \"Binder:1516_6-20645\", \"com.whatsapp-26165\", \"Binder:26976_2-26989\", \"irq/211-aicl-do-350\", \"DefaultPool1-31744\", \"su-31893\", \"ScNorm_Shared1-3498\", \"netmgrd-31880\", \"droid.benchmark-31805\", \"rild-31916\", \"android.display-1205\", \"FinalizerDaemon-31722\", \"m.facebook.orca-593\", \"sh-31972\", \"DefaultPool7-31754\", \"sh-31893\", \"shutils-31896\", \"shutils-31894\", \"batterystats-sy-1152\", \"shell srvc 3195-31959\", \"ActivityManager-1142\", \"sh-31894\", \"droid.apps.maps-31713\", \"networkPool1-31845\", \"HeapTaskDaemon-31724\", \"netmgrd-31900\", \"ScNorm_Shared1-948\", \"hwuiTask2-1912\", \"ndroid.gms:snet-30198\", \"Binder:26976_6-27545\", \"Binder:1060_7-31934\", \"LazyTaskWriterT-1465\", \"DefaultPool4-31751\", \"adbd-4555\", \"Binder:1516_1-1532\", \"lowpool[1022]-31169\", \"adbd-31875\", \"netmgrd-849\", \"Binder:1516_5-5998\", \"RenderThread-31833\", \"Binder:26976_3-27290\", \"DeferredSaveThr-31844\", \"pool-20-thread--2422\", \"IntentService[E-31939\", \"Binder:1516_2-1535\", \"NetdConnector-1426\", \"logd.klogd-428\", \"sh-31870\", \"Binder:21508_3-22576\", \"Binder:26976_1-26988\", \"kworker/0:1-31187\", \"SingleSch1-1073\", \"hwuiTask1-1911\", \"Binder:21508_4-23528\", \"tc-31900\", \"sh-31867\", \"SingleSch1-1106\", \"Binder:2097_6-14437\", \"Binder:1516_8-14211\", \"GoogleApiHandle-27228\", \"AsyncTask #74-31934\", \"Binder:23662_7-8224\", \"Binder:1060_10-7631\", \"Binder:2036_8-9449\", \"HeapTaskDaemon-30144\", \"AsyncTask #73-31923\", \"sh-31877\", \"FinalizerDaemon-23671\", \"AlarmManager-1412\", \"Binder:23662_8-29899\", \"UEventObserver-1413\", \"DnsConfigServic-27136\", \"Binder:2036_7-4819\", \"QcRilReceiver-3700\", \"Thread-49-31935\", \".gms.persistent-2036\", \"Binder:1060_B-2236\", \"Binder:2036_B-17861\", \"Binder:1516_3-1712\", \"raService] idle-31646\", \"Binder:23662_B-21087\", \"GAC_Executor[0]-2096\", \"sh-31964\", \"POSIX timer 253-31947\", \"Binder:23662_1-23674\", \"Binder:1060_1F-21991\", \"raService] idle-31643\", \"rmt_storage-871\", \"AsyncTask #6-31933\", \"Binder:1060_D-5575\", \"Binder:1060_1D-18790\", \"Binder:1060_C-4498\", \"Binder:1060_2-1093\", \"Binder:1060_12-10693\", \"WifiService-1430\", \"Binder:1060_1A-6828\", \"Binder:1060_17-10761\", \"Binder:1060_1-1092\", \"Binder:23662_9-13180\", \"Primes-1-31778\", \"Binder:2036_9-14897\", \"highpool[15]-12675\", \"DefaultPool6-31753\", \"Binder:1060_15-10759\", \"vold-560\", \"main-633\", \"system_server-1060\", \"sh-31881\", \"Binder:1060_13-10756\", \"Binder:1060_11-7794\", \"Binder:1060_1B-11483\", \"Binder:1060_3-1444\", \"Binder:1516_7-11490\", \"Binder:23662_2-23675\", \"netd-1335\", \"earchbox:search-27047\", \"Binder:2036_F-23402\", \"peration loader-31641\", \"Binder:1060_9-2198\", \"Binder:1060_7-1883\", \"rild-31928\", \"Binder:1060_E-7001\", \"Binder:1060_18-10762\", \"mdss_fb0-26934\", \"Binder:2097_1-2109\", \"surfaceflinger-517\", \"Binder:1651_1-1668\", \"Binder:1060_5-1684\", \"Binder:1060_1C-11484\", \"Binder:1060_1E-21116\", \"Binder:1060_8-2172\", \"DcHandlerThread-1799\", \"Binder:2036_2-2052\", \"kworker/0:4-31264\", \"Binder:1651_A-9788\", \"Binder:23662_5-32537\", \"lowpool[1015]-30089\", \"android.ui-1144\", \"Binder:6709_5-30232\", \"Thread-525-25188\", \"AppChoreographe-660\", \"Binder:1060_4-1682\", \"Binder:23662_3-26146\", \"Binder:23662_4-28867\", \"Binder:1060_A-2234\", \"Binder:23662_A-14457\", \"Binder:30511_1-30523\", \"Log-Flusher-3984\", \"Binder:1651_B-9789\", \"GoogleApiHandle-31761\", \"Binder:1060_14-10757\", \"IntentService[B-31921\", \"oadcastreceiver-30511\", \"AsyncTask #72-31919\", \"Binder:1651_2-1670\", \"Binder:1060_19-27524\", \"Binder:21508_2-21521\", \"GAC_Executor[1]-27096\", \"raService] idle-31644\", \"Thread-572-31707\", \"Binder:27047_3-27134\", \"Binder:1651_9-6863\", \"d.process.acore-21508\", \"InputDispatcher-1420\", \"Binder:1516_4-1892\", \"AsyncTask #4-31912\", \"Binder:2036_10-23403\", \"Binder:1651_C-20755\", \"GoogleApiHandle-2336\", \"Binder:1651_3-1846\", \"Binder:1651_5-1918\", \"Binder:1060_F-7003\", \"ScBg_Shared1-918\", \"Binder:23662_6-32538\", \"AsyncTask #5-31921\", \"raService] idle-31647\", \"ip-31897\", \"ReferenceQueueD-31813\", \"IntentService[L-31940\", \"tc-31880\", \"Binder:27047_6-13010\", \"Binder:2097_C-11437\", \"Binder:1634_1-1649\", \"RILReceiver0-1752\", \"gle.android.gms-2097\", \"Binder:1651_8-1921\", \"Binder:1060_16-10760\", \"Thread-48-31920\", \"peration loader-31642\", \"rild-31914\", \"Binder:2097_10-24847\", \"Binder:21508_1-21520\", \"Binder:2036_6-4744\", \"IntentService[B-31918\", \"ReferenceQueueD-2225\", \"CL--884999904-26812\", \"init-1\", \"Binder:30133_2-30146\", \"RenderThread-3988\", \"FinalizerDaemon-31612\", \"Binder:1634_3-10755\", \"netmgrd-1055\", \"shell srvc 3187-31876\", \"rild-31909\", \"Binder:2036_3-2332\", \"Binder:2097_D-28189\", \"POSIX timer 253-31949\", \"Binder:2036_A-14898\", \"PowerManagerSer-1210\", \"Thread-9-16777\", \"surfaceflinger-515\", \"FinalizerDaemon-30142\", \"Binder:1060_6-1870\", \"Binder:2036_E-23401\", \"raService] idle-31650\", \"shell srvc 3196-31965\", \"TimerThread0-27075\", \"Binder:31713_3-31817\", \"netmgrd-31899\", \"rild-860\", \"perfd-695\", \"Binder:1634_2-1650\", \"AsyncTask #1-31639\", \"POSIX timer 252-31941\", \"SensorService-1409\", \"Binder:2036_D-23400\", \"Binder:1466_1-1484\", \"m.android.phone-1651\", \"CallLogProvider-21525\", \"Signal Catcher-30204\", \"kworker/0:3-31246\", \"tc-31890\", \"rild-31931\", \"POSIX timer 252-31937\", \"Binder:2097_F-8407\", \"Binder:1651_6-1919\", \"POSIX timer 252-31907\", \"rild-31910\", \"Binder:30133_3-30147\", \"Binder:759_3-1322\", \"Binder:27047_4-2498\", \"Binder:2097_8-22470\", \"Binder:1651_D-4184\", \"rild-31902\", \"IntentService[A-31913\", \"Profile Saver-31826\", \"netd-1336\", \"HWC_UeventThrea-522\", \"kworker/3:1-31173\", \"Binder:1651_F-4253\", \"lowpool[2]-3181\", \"y.ACTION_UPDATE-31646\", \"Binder:1651_10-9624\", \"Binder:27047_2-27060\", \"Binder:30133_1-30145\", \"Binder:488_2-499\", \"Binder:488_4-1456\", \"ActivityManager-1147\", \"highpool[24]-23437\", \".apps.messaging-30133\", \"Binder:2097_E-8406\", \"BgHandler-891\", \"Binder:1651_E-5410\", \"rild-31904\", \"Binder:488_3-852\", \"POSIX timer 253-31951\", \"Binder:488_1-498\", \"m.android.phone-31935\", \"NonUserFacing25-31678\", \"Binder:488_5-1457\", \"lowpool[1026]-31839\", \"GoogleLocationS-2461\", \"EmergencyAfford-1617\", \"thermal-engine-713\", \"Binder:2036_4-2396\", \"kworker/u9:0-31182\", \"GAC_Executor[0]-30247\", \".gms.persistent-31940\", \"GoogleApiClient-27100\", \"POSIX timer 253-31945\", \"Binder:27047_5-24310\", \"sh-31892\", \"Thread-3-30175\", \"putmethod.latin-1466\", \"RILSender0-1751\", \"POSIX timer 252-31874\", \".lux:background-3952\", \"POSIX timer 253-31943\", \"rild-31911\", \".qcrilmsgtunnel-3672\", \"Binder:3952_F-17155\", \"POSIX timer 252-31936\", \"measurement-1-30338\", \"POSIX timer 252-31942\", \"Binder:1651_4-1910\", \"POSIX timer 187-31887\", \"lowpool[12]-24788\", \"Binder:2097_9-22473\", \"lowpool[1020]-31126\", \"POSIX timer 253-31948\", \"Binder:2036_1-2051\", \"Binder:27047_1-27059\", \"POSIX timer 253-31946\", \"Binder:31713_1-31725\", \"lowpool[1025]-31202\", \"CL--890767072-31179\", \"Binder:2097_7-18624\", \"rmt_storage-594\", \"cnd-649\", \"m.android.phone-31920\", \"rild-31924\", \"Binder:1651_7-1920\", \".apps.messaging-31933\", \"RenderThread-31953\", \"POSIX timer 253-31950\", \"POSIX timer 252-31938\", \"jbd2/sda35-8-552\", \"rild-31917\", \"Binder:2036_5-3525\", \"GAC_Executor[1]-30158\", \"GAC_Executor[0]-27091\", \"Binder:31713_2-31726\", \".apps.messaging-31913\", \"FLP Service Cal-1672\", \"CONTACT_CHANGED-31646\", \"Binder:30198_1-30210\", \"FinalizerDaemon-31629\", \".cne.CNEService-1634\", \"earchbox:search-31939\", \"Binder:2123_4-28244\", \"raService] idle-31645\", \"CNESender-1708\", \"Chrome_InProcRe-17391\", \"Binder:3952_6-6760\", \"Binder:2097_5-6702\", \"kworker/3:0-28995\", \"Binder:2123_3-5573\", \"nanohub-316\", \"WifiStateMachin-1431\", \"servicemanager-486\", \"EventControl-523\", \"POSIX timer 253-31944\", \"adbd-31959\", \"Binder:2097_4-3399\", \"adbd-31969\", \"rild-31688\", \"Thread-573-31707\", \"Binder:30198_2-30211\", \"Binder:1060_1D-31919\", \"FinalizerDaemon-21517\", \"kschedfreq:0-9269\", \"kworker/u8:3-31395\", \"facebook.katana-759\", \"Binder:30511_2-30524\", \"<-transport-28001\", \"kworker/1:1-31253\", \"om.skype.raider-25187\", \"IFMsg_Rxr-1898\", \"msm_watchdog-32\", \"shell srvc 3186-31868\", \"GoogleApiHandle-2393\", \"GAC_Executor[0]-3192\", \"kworker/u8:0-30021\", \"kgsl_worker_thr-210\", \"Binder:3952_E-7869\", \"Log-Flusher-23678\", \"Binder:2097_A-22474\", \"rild-31884\", \"SingleSch1-1317\", \"rild-1132\", \"Binder:1060_C-31923\", \"kworker/2:2-31175\", \"GAC_Executor[0]-30156\", \"kworker/u9:3-31261\", \"Binder:2123_2-2143\", \"logd.writer-425\", \"rild-31926\", \".apps.messaging-31922\", \"kworker/u9:1-31258\", \"n HAL callback.-1407\", \"ndroid.apps.gcs-30292\", \"GAC_Executor[1]-2310\", \"Binder:3952_5-5791\", \"irq/19-408000.q-601\", \"raService] idle-31648\", \"FileObserver-1200\", \"rild-794\", \"Binder:2123_1-2142\", \"perfd-31936\", \"rild-1115\", \"kworker/u8:2-28683\", \"IntentService[A-31922\", \"watchdog-1602\", \"PhoneStatusBar-1830\", \"SDM_EventThread-520\", \"logd.auditd-429\", \"CL--880281312-31707\", \"rild-31927\", \"GAC_Executor[1]-30249\", \"rild-1112\", \"Binder:31805_1-31818\", \"CL--859825888-31225\", \"Binder:31805_2-31819\", \"rild-1297\", \"Binder:2036_C-17989\", \"Thread-571-25945\", \"shell srvc 3188-31888\", \".apps.messaging-31918\", \"FLP Service Cal-1671\", \"lmkd-596\", \"rild-31932\", \"FrameStatsColle-31873\", \"EventThread-516\", \"RenderThread-31956\", \"kworker/u9:2-31259\", \"rild-31686\", \"FinalizerWatchd-2227\", \"Binder:2097_3-2378\", \"Binder:759_2-796\", \"kworker/2:5-24789\", \"Jit thread pool-30203\", \".apps.messaging-31912\", \"netmgrd-780\", \"GAC_Executor[1]-3208\", \"Binder:2097_B-4596\", \"RenderThread-31952\", \"rild-31882\", \"rild-31889\", \"->transport-28000\", \"rild-1295\", \"ReferenceQueueD-31721\", \"UserFacing336-31823\", \"netd-1341\", \"JDWP-30205\", \"kworker/u8:1-28852\", \"adbd-31965\", \"events-25214\", \"Binder:759_4-11824\", \"om.skype.raider-25277\", \"rild-1133\", \"rild-31906\", \"Binder:759_1-791\", \"FinalizerDaemon-30207\", \"rild-31691\", \"busybox-31963\", \"Chrome_IOThread-17384\", \"ReferenceQueueD-30206\", \"rild-31929\", \"FinalizerWatchd-30208\", \"GlobalDispatchi-30225\", \"kworker/u9:4-31903\", \"kworker/1:2-31227\", \"HeapTaskDaemon-30209\", \"InputReader-1421\", \"rild-31905\", \"spi6-240\", \"ScBg_Shared2-920\", \"FLP Service Cal-1631\", \"FinalizerWatchd-27057\", \"oid.documentsui-31620\", \"Thread-1361-17387\", \"NonUserFacing25-31679\", \"rild-31885\", \"Thread-3-26193\", \"rild-1293\", \"DispSync-500\", \"om.skype.raider-25183\", \"FinalizerWatchd-31613\", \"rild-1111\", \"hwuiTask1-31843\", \"adbd-31876\", \"ReferenceQueueD-31611\", \"ReferenceQueueD-27055\", \"ReferenceQueueD-23670\", \"kschedfreq:2-26933\", \"CL--892864224-25973\", \"FinalizerWatchd-21518\", \"rild-31901\", \"FinalizerWatchd-23672\", \"rild-31866\", \"busybox-31896\", \"kworker/0:0-28806\", \"irq/260-cpr3-45\", \"ReferenceQueueD-21516\", \"ScNorm_Shared2-955\", \"Binder:3952_3-4204\", \"kworker/u9:5-30449\", \"FinalizerWatchd-30143\", \"EventThread-518\", \"WifiP2pService-1429\", \"POSIX timer 1-1709\", \"smem_native_rpm-41\", \"rild-31925\", \"rild-31930\", \"shell srvc 3196-31969\", \"trace-cmd-31871\", \"rild-1301\", \"om.skype.raider-25181\", \"FinalizerWatchd-31723\", \"Binder:3952_A-22284\", \"RenderThread-31954\", \"ChromiumNet-27133\", \"FinalizerWatchd-31630\", \"rild-31883\", \"rild-1294\", \"FinalizerWatchd-31815\", \"om.skype.raider-25180\", \"kworker/2:1-31256\", \"GlobalScheduler-3177\", \"mpss_smd_trans_-29\", \"FLP Service Cal-1623\", \"logcat-31820\", \"GlobalDispatchi-2088\", \"POSIX timer 187-31879\", \"POSIX timer 187-31886\", \"vsync_retire_wo-138\", \"kworker/3:2-31268\", \"logd.reader.per-31822\", \"slim_daemon-1030\", \"rild-31908\", \"rild-1300\", \"Binder:3952_2-3965\", \"kthreadd-2\", \"Binder:30292_1-30304\", \"AppChoreographe-880\", \"Loc_hal_worker-1624\", \"irq/472-nanohub-315\", \"om.skype.raider-25193\", \"pm-service-605\", \"ReferenceQueueD-31628\", \"Binder:2097_2-2110\", \"ClearcutLoggerA-30250\", \"mpm-48\", \"kworker/1:1H-9717\", \"Binder:3952_D-22648\", \"adbd-31888\", \"ReferenceQueueD-1660\", \"om.skype.raider-25177\", \"kauditd-427\", \"pool-11-thread--3180\", \"RenderThread-31955\", \"FinalizerWatchd-2048\", \"irq/478-nanohub-314\", \"rild-1304\", \"ReferenceQueueD-30141\", \"imsdatadaemon-700\", \"FinalizerDaemon-1661\", \"kworker/0:1H-28684\", \"rild-1113\", \"FinalizerWatchd-1072\", \"kworker/2:1H-2528\", \"adbd-31881\", \"FLP Service Cal-1669\", \"lowi-server-1035\", \"ksoftirqd/0-3\", \"kworker/3:2H-706\", \"hwrng-160\", \"thermal-engine-669\", \"ksoftirqd/1-12\", \"perfd-31949\", \"cnd-715\", \"ksoftirqd/3-20\", \"rcu_preempt-7\", \"rcu_sched-8\", \"perfd-31941\", \"netmgrd-851\", \"irq/259-lmh-int-385\", \"ATFWD-daemon-3720\", \"cnss-daemon-678\", \"tc-31898\", \"ksoftirqd/2-16\", \"time_daemon-774\", \"CNEReceiver-1713\", \"Binder:3952_B-4222\", \"lowi-server-6845\", \"Binder:3952_8-12610\", \"rild-869\", \"rild-1309\", \"Loc_hal_worker-1045\", \"Binder:3952_1-3964\", \"Binder:3952_7-6761\", \"FinalizerWatchd-1662\", \"Binder:3952_4-5572\", \"Binder:3952_9-21340\", \"Binder:3952_C-8084\", \"Binder:3952_10-18149\", \"kthreadd-31903\", \"rild-1136\"], \"stride\": false, \"showSummary\": true, \"xDomain\": [8.9999957708641887e-06, 35.138598999998067], \"data\": {\"Binder:3952_4-5572\": {\"2\": [[13.649412999999186, 13.649425999996311], [13.650441999998293, 13.650452999994741], [13.651117999994312, 13.651127999997698]]}, \"rild-31932\": {\"3\": [[2.6851319999987027, 2.6851669999959995], [2.6853080000000773, 2.6853189999965252], [2.6853269999992335, 2.6853789999950095], [2.6897629999948549, 2.6901660000003176]]}, \"netmgrd-31900\": {\"1\": [[0.15136799999891082, 0.15140799999790033], [0.15142099999502534, 0.15143800000078045], [0.15144799999688985, 0.1544549999962328]], \"2\": [[0.15100199999869801, 0.15118499999516644], [0.15130199999839533, 0.15133100000093691]]}, \"kworker/3:2-31268\": {\"3\": [[12.409870999996201, 12.409943999999086], [12.619865000000573, 12.619888000001083], [18.541074000000663, 18.541156999999657], [27.001176999998279, 27.001207000001159]]}, \"Binder:3952_9-21340\": {\"1\": [[13.650631999997131, 13.650644000001193], [13.651539999998931, 13.651550999995379]]}, \"Binder:30133_1-30145\": {\"0\": [[2.4038829999990412, 2.4043689999962226], [2.4333719999995083, 2.4337809999997262], [2.5045419999951264, 2.5046969999966677], [2.5343559999964782, 2.5345499999966705], [2.6950369999976829, 2.6950489999944693], [2.7314299999998184, 2.7315229999949224], [2.7838510000001406, 2.7841970000008587], [2.8823459999985062, 2.8824800000002142], [7.7649579999997513, 7.7650399999984074], [7.8482440000007045, 7.8483520000008866]]}, \"Primes-1-31778\": {\"0\": [[13.326009999997041, 13.32664400000067]]}, \"rild-31931\": {\"3\": [[2.6846430000005057, 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+ " }); /* TRAPPY_PUBLISH_REMOVE_LINE */\n",
+ " </script>\n",
+ " </div>"
+ ],
+ "text/plain": [
+ "<IPython.core.display.HTML object>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Parse all traces\n",
+ "platform_file = os.path.join(te.res_dir, 'platform.json')\n",
+ "with open(platform_file, 'r') as fh:\n",
+ " platform = json.load(fh)\n",
+ "trace_file = os.path.join(te.res_dir, 'trace.dat')\n",
+ "trace = Trace(platform, trace_file, events=my_conf['ftrace']['events'])\n",
+ "\n",
+ "trappy.plotter.plot_trace(trace.ftrace)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:25:09,241 WARNING : Analysis : Multiple PIDs for task named [droid.benchmark]\n",
+ "2017-03-06 12:25:09,293 WARNING : Analysis : 31805 : droid.benchmark\n",
+ "2017-03-06 12:25:09,319 WARNING : Analysis : 31957 : AsyncTask #1,droid.benchmark\n",
+ "2017-03-06 12:25:09,320 WARNING : Analysis : Returning stats only for PID: 31805\n",
+ "2017-03-06 12:25:09,379 INFO : Analysis : Parsing sched_switch states assuming kernel v3.18\n",
+ "2017-03-06 12:25:09,380 INFO : Analysis : Parsing sched_switch states assuming kernel v3.18\n",
+ "2017-03-06 12:25:09,380 INFO : Analysis : Parsing sched_switch states assuming kernel v3.18\n",
+ "2017-03-06 12:25:09,397 INFO : Analysis : Parsing sched_switch states assuming kernel v3.18\n",
+ "2017-03-06 12:25:09,605 INFO : Analysis : Found: 3495 WAKEUP latencies\n",
+ "2017-03-06 12:25:09,635 INFO : Analysis : Found: 319 PREEMPT latencies\n",
+ "2017-03-06 12:25:09,636 INFO : Analysis : Total: 3814 latency events\n",
+ "2017-03-06 12:25:09,638 INFO : Analysis : 99.6 % samples below 1 [ms] threshold\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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YwTUzZ0YdjiRJkiRJklTUFi1axO0LF7Klri6r8UsyibhgwQJGjRoF9fVRhyJJ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2PbtjNw1VUQTsQSu63LGoDHsO3ls3Grtie9Ah2QLQNKXcZKAL/2lH5T63RMnwa8secT+NTFyU7E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6+WQKjh5l186d7D90iLtuvZXV3/Tgz8+nkZqcy97cfZz140ZWn9iNvPx8yuLj+PVv2jB5cqdI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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fa4d6ef45d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Plot latency events for a specified task\n",
+ "latency_stats_df = trace.analysis.latency.plotLatency('droid.benchmark')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:26:08,630 INFO : Analysis : LITTLE cluster average frequency: 1.152 GHz\n",
+ "2017-03-06 12:26:08,630 INFO : Analysis : big cluster average frequency: 1.405 GHz\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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aGxvjhn/rW9/itttuixvW1dXF2rVrWb9+fdzwn/zkJwm/I+ADH/gAjzzySNyw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\nC2NNRmMjzJyZep4vv+y+rqyEPXvi39+/P36e27f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K3Km+3nvdGPUZZtTn33237xEA6vFB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jsEorCUl5fbHQJRyJi/5HTMYXIy5i85HXOYnCwS+cuJSqI4VNyrl90hEIVl4sSJdodAFDLmLzkd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\n0NqKrH79k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N9gfE38hdgy72DcXfwejAnKv4n9/iTGjXqS6okaF56eeMJhADo7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\nJEmSJEmSJEmSJEmSJEX+f8qUWMCdhLLmAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fa4cf32fb50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "try:\n",
+ " trace.analysis.frequency.plotClusterFrequencies();\n",
+ " logging.info('Plotting cluster frequencies for [sched]...')\n",
+ "except: pass"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ },
+ "toc": {
+ "toc_cell": false,
+ "toc_number_sections": true,
+ "toc_threshold": 6,
+ "toc_window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/ipynb/examples/android/benchmarks/Android_PCMark.ipynb b/ipynb/examples/android/benchmarks/Android_PCMark.ipynb
new file mode 100644
index 0000000..cbd0e45
--- /dev/null
+++ b/ipynb/examples/android/benchmarks/Android_PCMark.ipynb
@@ -0,0 +1,560 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# PCMark benchmark on Android"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The goal of this experiment is to run benchmarks on a Pixel device running Android with an EAS kernel and collect results. The analysis phase will consist in comparing EAS with other schedulers, that is comparing *sched* governor with:\n",
+ "\n",
+ " - interactive\n",
+ " - performance\n",
+ " - powersave\n",
+ " - ondemand\n",
+ " \n",
+ "The benchmark we will be using is ***PCMark*** (https://www.futuremark.com/benchmarks/pcmark-android). You will need to **manually install** the app on the Android device in order to run this Notebook.\n",
+ "\n",
+ "When opinening PCMark for the first time you will need to Install the work benchmark from inside the app."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-12-12 13:09:13,035 INFO : root : Using LISA logging configuration:\n",
+ "2016-12-12 13:09:13,035 INFO : root : /home/vagrant/lisa/logging.conf\n"
+ ]
+ }
+ ],
+ "source": [
+ "import logging\n",
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Populating the interactive namespace from numpy and matplotlib\n"
+ ]
+ }
+ ],
+ "source": [
+ "%pylab inline\n",
+ "\n",
+ "import copy\n",
+ "import os\n",
+ "from time import sleep\n",
+ "from subprocess import Popen\n",
+ "import pandas as pd\n",
+ "\n",
+ "# Support to access the remote target\n",
+ "import devlib\n",
+ "from env import TestEnv\n",
+ "\n",
+ "# Support for trace events analysis\n",
+ "from trace import Trace\n",
+ "\n",
+ "# Suport for FTrace events parsing and visualization\n",
+ "import trappy"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Test environment setup\n",
+ "\n",
+ "For more details on this please check out **examples/utils/testenv_example.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In case more than one Android device are conencted to the host, you must specify the ID of the device you want to target in `my_target_conf`. Run `adb devices` on your host to get the ID. Also, you have to specify the path to your android sdk in ANDROID_HOME."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Setup a target configuration\n",
+ "my_target_conf = {\n",
+ " \n",
+ " # Target platform and board\n",
+ " \"platform\" : 'android',\n",
+ "\n",
+ " # Add target support\n",
+ " \"board\" : 'pixel',\n",
+ " \n",
+ " # Device ID\n",
+ " \"device\" : \"HT6670300102\",\n",
+ " \n",
+ " \"ANDROID_HOME\" : \"/home/vagrant/lisa/tools/android-sdk-linux/\",\n",
+ " \n",
+ " # Define devlib modules to load\n",
+ " \"modules\" : [\n",
+ " 'cpufreq' # enable CPUFreq support\n",
+ " ],\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": false
+ },
+ "outputs": [],
+ "source": [
+ "my_tests_conf = {\n",
+ "\n",
+ " # Folder where all the results will be collected\n",
+ " \"results_dir\" : \"Android_PCMark\",\n",
+ "\n",
+ " # Platform configurations to test\n",
+ " \"confs\" : [\n",
+ " {\n",
+ " \"tag\" : \"pcmark\",\n",
+ " \"flags\" : \"ftrace\", # Enable FTrace events\n",
+ " \"sched_features\" : \"ENERGY_AWARE\", # enable EAS\n",
+ " },\n",
+ " ],\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-12-08 17:14:32,454 INFO : TestEnv : Using base path: /home/vagrant/lisa\n",
+ "2016-12-08 17:14:32,455 INFO : TestEnv : Loading custom (inline) target configuration\n",
+ "2016-12-08 17:14:32,456 INFO : TestEnv : Loading custom (inline) test configuration\n",
+ "2016-12-08 17:14:32,457 INFO : TestEnv : External tools using:\n",
+ "2016-12-08 17:14:32,458 INFO : TestEnv : ANDROID_HOME: /home/vagrant/lisa/tools/android-sdk-linux/\n",
+ "2016-12-08 17:14:32,458 INFO : TestEnv : CATAPULT_HOME: /home/vagrant/lisa/tools/catapult\n",
+ "2016-12-08 17:14:32,459 INFO : TestEnv : Loading board:\n",
+ "2016-12-08 17:14:32,460 INFO : TestEnv : /home/vagrant/lisa/libs/utils/platforms/pixel.json\n",
+ "2016-12-08 17:14:32,462 INFO : TestEnv : Devlib modules to load: [u'bl', u'cpufreq']\n",
+ "2016-12-08 17:14:32,463 INFO : TestEnv : Connecting Android target [HT6670300102]\n",
+ "2016-12-08 17:14:32,463 INFO : TestEnv : Connection settings:\n",
+ "2016-12-08 17:14:32,464 INFO : TestEnv : {'device': 'HT6670300102'}\n",
+ "2016-12-08 17:14:32,562 INFO : android : ls command is set to ls -1\n",
+ "2016-12-08 17:14:33,287 INFO : TestEnv : Initializing target workdir:\n",
+ "2016-12-08 17:14:33,288 INFO : TestEnv : /data/local/tmp/devlib-target\n",
+ "2016-12-08 17:14:35,211 INFO : TestEnv : Topology:\n",
+ "2016-12-08 17:14:35,213 INFO : TestEnv : [[0, 1], [2, 3]]\n",
+ "2016-12-08 17:14:35,471 INFO : TestEnv : Loading default EM:\n",
+ "2016-12-08 17:14:35,472 INFO : TestEnv : /home/vagrant/lisa/libs/utils/platforms/pixel.json\n",
+ "2016-12-08 17:14:35,475 WARNING : TestEnv : Wipe previous contents of the results folder:\n",
+ "2016-12-08 17:14:35,475 WARNING : TestEnv : /home/vagrant/lisa/results/Android_PCMark\n",
+ "2016-12-08 17:14:35,476 INFO : TestEnv : Set results folder to:\n",
+ "2016-12-08 17:14:35,476 INFO : TestEnv : /home/vagrant/lisa/results/Android_PCMark\n",
+ "2016-12-08 17:14:35,476 INFO : TestEnv : Experiment results available also in:\n",
+ "2016-12-08 17:14:35,477 INFO : TestEnv : /home/vagrant/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "# the provided target configuration (my_target_conf)\n",
+ "# the provided test configuration (my_test_conf)\n",
+ "te = TestEnv(target_conf=my_target_conf, test_conf=my_tests_conf)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Support Functions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This set of support functions will help us running the benchmark using different CPUFreq governors."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def set_performance():\n",
+ " target.cpufreq.set_all_governors('performance')\n",
+ "\n",
+ "def set_powersave():\n",
+ " target.cpufreq.set_all_governors('powersave')\n",
+ "\n",
+ "def set_interactive():\n",
+ " target.cpufreq.set_all_governors('interactive')\n",
+ "\n",
+ "def set_sched():\n",
+ " target.cpufreq.set_all_governors('sched')\n",
+ "\n",
+ "def set_ondemand():\n",
+ " target.cpufreq.set_all_governors('ondemand')\n",
+ " \n",
+ " for cpu in target.list_online_cpus():\n",
+ " tunables = target.cpufreq.get_governor_tunables(cpu)\n",
+ " target.cpufreq.set_governor_tunables(\n",
+ " cpu,\n",
+ " 'ondemand',\n",
+ " **{'sampling_rate' : tunables['sampling_rate_min']}\n",
+ " )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# CPUFreq configurations to test\n",
+ "confs = {\n",
+ " 'performance' : {\n",
+ " 'label' : 'prf',\n",
+ " 'set' : set_performance,\n",
+ " },\n",
+ " #'powersave' : {\n",
+ " # 'label' : 'pws',\n",
+ " # 'set' : set_powersave,\n",
+ " #},\n",
+ " 'interactive' : {\n",
+ " 'label' : 'int',\n",
+ " 'set' : set_interactive,\n",
+ " },\n",
+ " #'sched' : {\n",
+ " # 'label' : 'sch',\n",
+ " # 'set' : set_sched,\n",
+ " #},\n",
+ " #'ondemand' : {\n",
+ " # 'label' : 'odm',\n",
+ " # 'set' : set_ondemand,\n",
+ " #}\n",
+ "}\n",
+ "\n",
+ "# The set of results for each comparison test\n",
+ "results = {}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#Check if PCMark si available on the device\n",
+ "\n",
+ "def check_packages(pkgname):\n",
+ " try:\n",
+ " output = target.execute('pm list packages -f | grep -i {}'.format(pkgname))\n",
+ " except Exception:\n",
+ " raise RuntimeError('Package: [{}] not availabe on target'.format(pkgname))\n",
+ "\n",
+ "# Check for specified PKG name being available on target\n",
+ "check_packages('com.futuremark.pcmark.android.benchmark')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "# Function that helps run a PCMark experiment\n",
+ "\n",
+ "def pcmark_run(exp_dir):\n",
+ " # Unlock device screen (assume no password required)\n",
+ " target.execute('input keyevent 82')\n",
+ " # Start PCMark on the target device\n",
+ " target.execute('monkey -p com.futuremark.pcmark.android.benchmark -c android.intent.category.LAUNCHER 1')\n",
+ " # Wait few seconds to make sure the app is loaded\n",
+ " sleep(5)\n",
+ " \n",
+ " # Flush entire log\n",
+ " target.clear_logcat()\n",
+ " \n",
+ " # Run performance workload (assume screen is vertical)\n",
+ " target.execute('input tap 750 1450')\n",
+ " # Wait for completion (10 minutes in total) and collect log\n",
+ " log_file = os.path.join(exp_dir, 'log.txt')\n",
+ " # Wait 5 minutes\n",
+ " sleep(300)\n",
+ " # Start collecting the log\n",
+ " with open(log_file, 'w') as log:\n",
+ " logcat = Popen(['adb logcat', 'com.futuremark.pcmandroid.VirtualMachineState:*', '*:S'],\n",
+ " stdout=log,\n",
+ " shell=True)\n",
+ " # Wait additional two minutes for benchmark to complete\n",
+ " sleep(300)\n",
+ "\n",
+ " # Terminate logcat\n",
+ " logcat.kill()\n",
+ "\n",
+ " # Get scores from logcat\n",
+ " score_file = os.path.join(exp_dir, 'score.txt')\n",
+ " os.popen('grep -o \"PCMA_.*_SCORE .*\" {} | sed \"s/ = / /g\" | sort -u > {}'.format(log_file, score_file))\n",
+ " \n",
+ " # Close application\n",
+ " target.execute('am force-stop com.futuremark.pcmark.android.benchmark')\n",
+ " \n",
+ " return score_file"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Function that helps run PCMark for different governors\n",
+ "\n",
+ "def experiment(governor, exp_dir):\n",
+ " os.system('mkdir -p {}'.format(exp_dir));\n",
+ "\n",
+ " logging.info('------------------------')\n",
+ " logging.info('Run workload using %s governor', governor)\n",
+ " confs[governor]['set']()\n",
+ "\n",
+ " ### Run the benchmark ###\n",
+ " score_file = pcmark_run(exp_dir)\n",
+ " \n",
+ " # Save the score as a dictionary\n",
+ " scores = dict()\n",
+ " with open(score_file, 'r') as f:\n",
+ " lines = f.readlines()\n",
+ " for l in lines:\n",
+ " info = l.split()\n",
+ " scores.update({info[0] : float(info[1])})\n",
+ " \n",
+ " # return all the experiment data\n",
+ " return {\n",
+ " 'dir' : exp_dir,\n",
+ " 'scores' : scores,\n",
+ " }"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Run PCMark and collect scores"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-12-08 17:14:43,080 INFO : root : ------------------------\n",
+ "2016-12-08 17:14:43,081 INFO : root : Run workload using performance governor\n",
+ "2016-12-08 17:24:50,386 INFO : root : ------------------------\n",
+ "2016-12-08 17:24:50,387 INFO : root : Run workload using interactive governor\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Run the benchmark in all the configured governors\n",
+ "for governor in confs:\n",
+ " test_dir = os.path.join(te.res_dir, governor)\n",
+ " res = experiment(governor, test_dir)\n",
+ " results[governor] = copy.deepcopy(res)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "collapsed": false
+ },
+ "source": [
+ "After running the benchmark for the specified governors we can show and plot the scores:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>interactive</th>\n",
+ " <th>performance</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>PCMA_DATA_MANIPULATION_SCORE</th>\n",
+ " <td>4264.355319</td>\n",
+ " <td>4260.128135</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>PCMA_PHOTO_EDITING_V2_SCORE</th>\n",
+ " <td>16853.979140</td>\n",
+ " <td>16422.056987</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>PCMA_VIDEO_EDITING_SCORE</th>\n",
+ " <td>6281.320705</td>\n",
+ " <td>6314.691918</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>PCMA_WEB_V2_SCORE</th>\n",
+ " <td>5513.358130</td>\n",
+ " <td>5610.058655</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>PCMA_WORK_V2_SCORE</th>\n",
+ " <td>6803.354647</td>\n",
+ " <td>6790.043529</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>PCMA_WRITING_V2_SCORE</th>\n",
+ " <td>5855.885077</td>\n",
+ " <td>5823.619700</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " interactive performance\n",
+ "PCMA_DATA_MANIPULATION_SCORE 4264.355319 4260.128135\n",
+ "PCMA_PHOTO_EDITING_V2_SCORE 16853.979140 16422.056987\n",
+ "PCMA_VIDEO_EDITING_SCORE 6281.320705 6314.691918\n",
+ "PCMA_WEB_V2_SCORE 5513.358130 5610.058655\n",
+ "PCMA_WORK_V2_SCORE 6803.354647 6790.043529\n",
+ "PCMA_WRITING_V2_SCORE 5855.885077 5823.619700"
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Create results DataFrame\n",
+ "data = {}\n",
+ "for governor in confs:\n",
+ " data[governor] = {}\n",
+ " for score_name, score in results[governor]['scores'].iteritems():\n",
+ " data[governor][score_name] = score\n",
+ "\n",
+ "df = pd.DataFrame.from_dict(data)\n",
+ "df"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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fv3507dqVv/zlL/Tu3ZuCggLOPfdcPvjgA3Jzc7npppuYNGkS7du3p3HjxvTr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\nYSMAAAAAMAlhIwAAAAAwCWEjAAAAADA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O2xsXfG2Fzeb+jWvHdy6UPaDRPg5r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DidBEk2be034Kh+tw557hgCLiCrqOqs31VIgHFLkjU8SFaQnFMddyWV1NnfkvTT/hvHlaQxdx6Z\n8B8j2VZTi2NvIRlblzC8I3X55WSgUf3iw2QsLEzGQPnZXwu4gWQ5LlnsL8+ZS7K7dhrfy5TG3SZk\nztiw2p5O5ot2wLEuy7Epqc+4IVJ32gI4jiyf3orcLz0JbFwdr+eE+v5oLdIYaZOJvUxpgbcycDzw\nS+B80mzyIZLVeBxZ1ll3x12S1I0/H583pOfjhYyTer4q5y5JGhP1l8rG5I3hl0jQ8SiGBxYvBb7W\n4e+kfjIAXEU6uNXb5c9J5OHzcdJVsTwGyWj8A7DzuF6lNP4WIg+LV5Ji/q+u9k8jAccfV8co9n8V\nHxbVvQ4kndavA+4n9UfPrbZvpSk3U1ucZGtdgpkiUm3Z6t9UslLqI+Sl1c5ktdShZDwNAfeQuQPy\nMqu815LUeDtwIrAeTUm09jNKJ+VYWnrUsyTp7zSLdHjbh3xhDQFH0nxhbQfcBvzDfLk6af7aFVi7\n+v004F5ghWq7ffO7Chk/7WVzR5KHUzMa1e22Ixm8C5HMrQvJ8uhOAcfLqn0Xk86idZajwRd1kwNJ\np/Vdyed+XeBsEgw5kcwJD5KXTdsBc4BrgTvwMy/VdiIrqS4Ctqn2zSLlmp4A9q32TSaZjutU22Ww\nxGQHqTFAgvRD1b9LSD+FjRle9qw+t1QGGg8BvgMsMT6XKanfrMLIL5Q9yY3zcsC7aDIcB8hbyN8D\nH53Aa5QWBAeRsbBVtX0IKStwGE0wvlx6sC3wXXIDXZtMip3vNd4XK42zARJI+TXw8mrfK+gccNyR\nlBQYIoHHukO19erUTTYnn+Fjq+36AW0O8ADpNL0jyXJ8nMwPN5GVInWg0c+8+t0c0u32ENJgsjQT\n+Dh5IXtY65hZjNJzO4asJtkTOIvMTZeQ8VQ+73dqADOXPOO3a9FL0t/kAHLj/BXgg+ThcWGy5Ocq\n4G3Vee8H/gq8u9p+Dd4wq78cQAqYv7m1/+vAIyTbZdli/8Ikk6vs0F7zhlm9YnFSZ+u0Yl/dIKkd\ncNwD+DwGXdS9ZpOl0vNomn9BshgfJF2mIfdSs8kythk0L6D8zKvfbUvumdovXMts35WAj5El1QdN\n0HVJvWJnkpm4WrW9Lql5OkTmrpPIvdvU1t/NpSljIElj4gs0Xz73kQDjx0nQ5DjyZVXfJL+7OneP\n4u+9cVY/2IN89o8u9tWZWUsB/0uW/VxBurm/n4ylcqmoAUb1mvrhcJB0C31tcezlJOD4G+BV1b5F\naeaTKUjdaTbJGrkKWJN0yX0K2KU6PkDn5Z3OAepn9bg4iWT6TmPkOCm3lycBxyGaztSSRlfeV11P\neizU7iTlPI6jqYM6pzg+SDIaDTRKGhPlhP4f5IHwbcD7gC+SwuenkC+jMpNrTwwwqr/MJePgjyQ4\n/+riWPkm/lOk1ukTJPj4WczgUu+pAyblZ3p9kt14aOvcl5MGSkPAS4v91tlSt1uDvFy6HXgG2Lva\nby1GaXSTge8Dp49yvJ5fZpEmMCuSzEbvoaTO9gZOLrYXqX5uR1ZWrUvqBd9AE+CfTLLx63FVJ1QY\naJQ0psrJ+xLysLhjtb0LcCrwE/Lm/tn+VupVh9A0eHkl8DNScuBVxTntDK1yGR04VtQ73kTKBXQq\nGv4pUhdoxdb+9Um2vONAvWY2Kb5/J8Ozeg2mS51NAm6hCTZ2mhemA2cwsrGec4g03Jo0zWBOaR2b\nSZqVDQGX0zSIac9P04DdaJo0SdKYKifvi4DfATtU25NITYf6d6mfzCZvAncp9m1Kyg20A47lOCrH\nig+d6hVTgG+TZjC/Ag4GNiiOb0Caiu1XnN/mw6J6zWyS4XgF6fgpabgtyNLNk0hzvcOBJ2nGywDD\nG+utBVwNbDKxlyl1nVXJcul5wG2kGUxpT/LMshnPzox8SeOqfAC8kCbgWNekM2CifjSJ1AyCTMT1\nZDxawNFxol63MMnwPZWMgV+SjMY66HgecGNxvi+p1A/WIM3AbiUNYSTFgaQs03XA/aQczbnV9q3A\nRq3zFwcuJqutDIBInZXPGyeQF8BHkDrxny+OrU/KO9VNlnzhK2m+Kb+ALiA3B7viF5P6z/Lk4fFV\nwGI0N7ydAo7nMDy7S+pV7Qe/DUmNxt+QjMZzgXeQh8ldJ/TKpPlvbZK5ZYBEigOBp2meJdYFzibz\nxYlkieeDJNNxO9Ks4lpSX67OjHc8SZ3VL3NnkESh/ciKk58xPOB4Mskknj6hVydJHZSBxWvIsiCz\ntdRP9iI1uB4GHgV+DhxLlirAyIDjT0hX0rUm8iKl+aidrbgiCTLeCDxO6gMdO8HXJC1IDJCo323O\n8LmgnjfmkNq+y5Ma8eeSeeNPwE2kS7WN9aTO9gDOJOU7lq32TSfj6LPV9iDwU1L3FPJ8ch7OS5LG\nQR0ofCFL2crJvf5iMuCofrA/ueE9gnRg35zUMf098D/AS6rzJtGMqa2A83ESV39qf+53Iw+XPiRK\nUv+aTZZKz2N4vbjDSTZj2UhvNik/MAMb60mjWQf4MwniX0DKDbylOrYKCTBuSRq+DAI/IquvoBlX\nPqtIGlPLt7af75dMu7C/X07qdXWn6b06HDse+C3wObKsGpqC5iXHifpVp8++D4uS1L9mk5UfV5Gu\nuVsCT9E03RugczKDtX6lkVYmzyO/JEkO+wMPkazG44DTgKOrc5cE3lOd53iSNC72IbVSjicZWqVn\ny1Qsv5Q2o+lGLfWyXUkR5WVoxkcZdD8d+AO5eW4z81e9xM+zJGksrEFKMt0OPAPsXe335az0/Cxb\n/ZsKLAd8BHgM2JlkAx9Kmi0NkXqo06q/m87ftsJRkp6XfyFfPHeR+os3AJsAL2qdN2mU3w8mdVVe\nhdT7PgD8mmaSrtU3xMsBj9B0dDMgo173Qm5OB1o/JUmCvKT9JnAn8Npiv/OF9Ox2IvUWLwK2qfbN\nAj4BPAHsW+2bTDId16m2y7HlOJM0pupgyebAJcDWpBbK/5Cg483A7sCLW39XvmUcJFlcuyD1roWL\n3weBv9JkLraXgM4kDWMOmIDrkuaHt5MOoesxvFxA+bOTMii59DhclySpu80mGY5XABvP52uRusEc\n8txxCHmWL80EPg78ETisdcwsRknj5hDgk+SLZgD4NvDF4vimJNvxEVJD5SRyA1AGXeaSQOPOE3C9\n0vyyG/DvNEXKlwF+QQqa14H3KTRBltlkPG1RbfumUL1igCzFGar+XUKyUDYmGb3tc0vlTe0hwHeA\nJcbnMiVJXWwN4DKy5HO9+Xwt0oJsW/Ks3q4jXyYGrQR8jCypPghJGmeD5EGxDBJuQZYtrFFtfx+4\nlAQdjwR+R4rH1g+Qh1X7DDSq1+1GxsuJJKAyCTiKTNrfIMWVa4sBX2V4IFLqNceQYv57AmeRMhqX\nkHmhDCDWY6AMNM4lXdt3Hf/LlCR1qbVJooP3UtJIddOkk4AvkdWK7Ze85fbyJOA4RNOZWpLG3L5k\nCWhdz6H+IloZuJF0pPoucD2wQvF3U2km/E1Izbrdx/tipfmsDpLsSibofyPBlGmkduPDZOnCecBX\ngGtJoL5uGONNsnrRziQzcbVqe13S2XAImEdufhcn80ZpLk2xckmSng/vpaSRJpNnjtNHOV4/w8wi\nTWBWJJmN7fJPkjQm9iUPgxfRfNHUy6ghX0BDpEFM2Vm6PcnPBl4xfpcpLRAWImOjLh3wRhKo/wQJ\nNi4MrA+cRmoLfQV4H83YcjJXrym7rl9Pst9rd5Jg+3E03Q7nFMcHSUajgUZJkqS/zyTgFppgY6fn\njunAGWSlYslnFEljahD4C6mB8i3go6T2FiSYOEC6T19Nshvr/VK/eV3xe5mZ9SXgtzQZjssUxxZp\n/R9O4uoVewMnF9v1Z307snR6XeAO8pKqXsYzGTicZhzswcjSHZIkSXr+tiAvdU8CtiL3Wk/SNFMa\nYHgi0Vrk2X6Tib1MSf3kneRBb9tq+1+A28mX1bKtc/8duBs7VKk/rUyWRl/a2n8hcBcJnryZjKdP\n0zSNKdkQRr1iTZpmMKe0js0E7q2OXU7TIKb9+Z9G6p5ugyRJkv4WB5JnlOuA+0mH6XOr7VuBjVrn\nLw5cTF4Mm0AkaVwsBvwjsENr/z8DtzEy4DgDeBw4YkKuTlqwTCcd3X4GnFPt+woJNK5WnLcT8GfS\nwX2pibxAaQKtSpZLzyPzxVmt43sC9wGbPcf/402uJEnS3+ZA4GlSQ34hsqrkbOAe0sDyXuBBkum4\nHSljcy1ZeWIdeUnjqv6SmcTw5Z2dAo5Lke7TLgNVP1mq+ldPxLuSt4aPkuLLdcmBSTRZv3uRpkpm\nAavXlNmJJwC/Ii+gfgB8vji2PnAzqfcLzhuSJEljaXOyiuTYart+7pgDPEA6Te9IshwfB/4E3ETK\nP9UxAO/PJI2p/Ug2ymZkaWhp4eL3fyap18cyvPs0+MWk/rAbWQZ6H3lLuEWx/27S/KVWN42pJ/o6\nKGPAUb2m/kzPIGUE9gMOJlm/ZcDxZFIvaPqEXp0kSVLvm02WStfP9bXDSTZjXdJpoDp3PXLvVj+j\n+DwvacwMkBpZ95O3IF8l9Rn3BVYpzitTqevMlQOK/0PqB4PkLeCngFNJwPE7wMtII4zdgF8C5xd/\nUwccqX46XtQr9gDOJDerdbb7dPK2/LPV9iDwU9LdEFJ8/DxcniNJkjQeZgNXAleRetpbAk8Bu1TH\nR3seMRlC0piqv2gOJBlZOwPvJ2nWVwD/CqwELNr6u0PxYVH9ZT/gr8Abi307kK7tdeC9bm7xcxJw\nkXrVOqQO6RBwASkq/pbq2CokwLglGRODwI9o6prW845ziCRJ0thbgzzL3w48A+xd7ffeS9KEewMp\nCrtptb0Cs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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f9af7a71b10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "df.plot(kind='bar', rot=45, figsize=(16,8),\n",
+ " title='PCMark scores vs SchedFreq governors');"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ },
+ "toc": {
+ "toc_cell": false,
+ "toc_number_sections": true,
+ "toc_threshold": 6,
+ "toc_window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/ipynb/examples/android/benchmarks/Android_UiBench.ipynb b/ipynb/examples/android/benchmarks/Android_UiBench.ipynb
new file mode 100644
index 0000000..6e5f3cb
--- /dev/null
+++ b/ipynb/examples/android/benchmarks/Android_UiBench.ipynb
@@ -0,0 +1,531 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# UiBench benchmark on Android\n",
+ "\n",
+ "This benchmark is used to evaluate the responsiveness of an Android system to user interaction. Also **systraces** are captured during the benchmark run and represented at the end of the notebook."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:36:21,955 INFO : root : Using LISA logging configuration:\n",
+ "2017-03-06 12:36:21,956 INFO : root : /home/vagrant/lisa/logging.conf\n"
+ ]
+ }
+ ],
+ "source": [
+ "import logging\n",
+ "\n",
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Populating the interactive namespace from numpy and matplotlib\n"
+ ]
+ }
+ ],
+ "source": [
+ "%pylab inline\n",
+ "\n",
+ "import json\n",
+ "import os\n",
+ "\n",
+ "# Support to access the remote target\n",
+ "import devlib\n",
+ "from env import TestEnv\n",
+ "\n",
+ "# Import support for Android devices\n",
+ "from android import Screen, Workload, System\n",
+ "\n",
+ "# Support for trace events analysis\n",
+ "from trace import Trace\n",
+ "\n",
+ "# Suport for FTrace events parsing and visualization\n",
+ "import trappy\n",
+ "\n",
+ "import pandas as pd\n",
+ "import sqlite3"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Support Functions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This function helps us run our experiments:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def experiment():\n",
+ " # Configure governor\n",
+ " target.cpufreq.set_all_governors('sched')\n",
+ " \n",
+ " # Get workload\n",
+ " wload = Workload.getInstance(te, 'UiBench')\n",
+ " \n",
+ " # Run UiBench\n",
+ " wload.run(te.res_dir, test_name='TrivialAnimationActivity', duration_s=10, collect='systrace')\n",
+ " \n",
+ " # Dump platform descriptor\n",
+ " te.platform_dump(te.res_dir)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Test environment setup\n",
+ "For more details on this please check out **examples/utils/testenv_example.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**devlib** requires the ANDROID_HOME environment variable configured to point to your local installation of the Android SDK. If you have not this variable configured in the shell used to start the notebook server, you need to run a cell to define where your Android SDK is installed or specify the ANDROID_HOME in your target configuration."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In case more than one Android device are conencted to the host, you must specify the ID of the device you want to target in **my_target_conf**. Run **adb devices** on your host to get the ID."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Setup target configuration\n",
+ "my_conf = {\n",
+ "\n",
+ " # Target platform and board\n",
+ " \"platform\" : 'android',\n",
+ " \"board\" : 'pixel',\n",
+ " \n",
+ " # Device\n",
+ " \"device\" : \"FA6A10306347\",\n",
+ " \n",
+ " # Android home\n",
+ " \"ANDROID_HOME\" : \"/home/vagrant/lisa/tools/android-sdk-linux/\",\n",
+ "\n",
+ " # Folder where all the results will be collected\n",
+ " \"results_dir\" : \"UiBench_example\",\n",
+ "\n",
+ " # Define devlib modules to load\n",
+ " \"modules\" : [\n",
+ " 'cpufreq' # enable CPUFreq support\n",
+ " ],\n",
+ "\n",
+ " # FTrace events to collect for all the tests configuration which have\n",
+ " # the \"ftrace\" flag enabled\n",
+ " \"ftrace\" : {\n",
+ " \"events\" : [\n",
+ " \"sched_switch\",\n",
+ " \"sched_wakeup\",\n",
+ " \"sched_wakeup_new\",\n",
+ " \"sched_overutilized\",\n",
+ " \"sched_load_avg_cpu\",\n",
+ " \"sched_load_avg_task\",\n",
+ " \"cpu_capacity\",\n",
+ " \"cpu_frequency\",\n",
+ " ],\n",
+ " \"buffsize\" : 100 * 1024,\n",
+ " },\n",
+ "\n",
+ " # Tools required by the experiments\n",
+ " \"tools\" : [ 'trace-cmd', 'taskset'],\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:36:27,784 INFO : TestEnv : Using base path: /home/vagrant/lisa\n",
+ "2017-03-06 12:36:27,785 INFO : TestEnv : Loading custom (inline) target configuration\n",
+ "2017-03-06 12:36:27,785 INFO : TestEnv : External tools using:\n",
+ "2017-03-06 12:36:27,785 INFO : TestEnv : ANDROID_HOME: /home/vagrant/lisa/tools/android-sdk-linux/\n",
+ "2017-03-06 12:36:27,786 INFO : TestEnv : CATAPULT_HOME: /home/vagrant/lisa/tools/catapult\n",
+ "2017-03-06 12:36:27,786 INFO : TestEnv : Devlib modules to load: ['bl', 'cpufreq']\n",
+ "2017-03-06 12:36:27,787 INFO : TestEnv : Connecting Android target [FA6A10306347]\n",
+ "2017-03-06 12:36:27,787 INFO : TestEnv : Connection settings:\n",
+ "2017-03-06 12:36:27,788 INFO : TestEnv : {'device': 'FA6A10306347'}\n",
+ "2017-03-06 12:36:27,900 INFO : android : ls command is set to ls -1\n",
+ "2017-03-06 12:36:28,519 INFO : TestEnv : Initializing target workdir:\n",
+ "2017-03-06 12:36:28,519 INFO : TestEnv : /data/local/tmp/devlib-target\n",
+ "2017-03-06 12:36:30,018 INFO : TestEnv : Topology:\n",
+ "2017-03-06 12:36:30,022 INFO : TestEnv : [[0, 1], [2, 3]]\n",
+ "2017-03-06 12:36:30,233 INFO : TestEnv : Loading default EM:\n",
+ "2017-03-06 12:36:30,234 INFO : TestEnv : /home/vagrant/lisa/libs/utils/platforms/pixel.json\n",
+ "2017-03-06 12:36:30,777 INFO : TestEnv : Enabled tracepoints:\n",
+ "2017-03-06 12:36:30,779 INFO : TestEnv : sched_switch\n",
+ "2017-03-06 12:36:30,780 INFO : TestEnv : sched_wakeup\n",
+ "2017-03-06 12:36:30,781 INFO : TestEnv : sched_wakeup_new\n",
+ "2017-03-06 12:36:30,782 INFO : TestEnv : sched_overutilized\n",
+ "2017-03-06 12:36:30,784 INFO : TestEnv : sched_load_avg_cpu\n",
+ "2017-03-06 12:36:30,784 INFO : TestEnv : sched_load_avg_task\n",
+ "2017-03-06 12:36:30,785 INFO : TestEnv : cpu_capacity\n",
+ "2017-03-06 12:36:30,785 INFO : TestEnv : cpu_frequency\n",
+ "2017-03-06 12:36:30,786 INFO : TestEnv : Set results folder to:\n",
+ "2017-03-06 12:36:30,786 INFO : TestEnv : /home/vagrant/lisa/results/UiBench_example\n",
+ "2017-03-06 12:36:30,787 INFO : TestEnv : Experiment results available also in:\n",
+ "2017-03-06 12:36:30,787 INFO : TestEnv : /home/vagrant/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "te = TestEnv(my_conf, wipe=False)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Workloads execution\n",
+ "\n",
+ "This is done using the **experiment** helper function defined above which is configured to run a **UiBench - TrivialAnimation** experiment."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:36:33,270 INFO : Workload : Supported workloads available on target:\n",
+ "2017-03-06 12:36:33,271 INFO : Workload : vellamo, youtube, jankbench, uibench, geekbench\n",
+ "2017-03-06 12:36:37,421 INFO : Screen : Set brightness: 0%\n",
+ "2017-03-06 12:36:38,223 INFO : Screen : Force manual orientation\n",
+ "2017-03-06 12:36:38,224 INFO : Screen : Set orientation: PORTRAIT\n",
+ "2017-03-06 12:36:40,404 INFO : UiBench : adb -s FA6A10306347 logcat ActivityManager:* System.out:I *:S BENCH:*\n",
+ "2017-03-06 12:36:41,089 WARNING : UiBench : Systrace time NOT defined, tracing for 10[s]\n",
+ "2017-03-06 12:36:41,091 INFO : UiBench : Systrace START\n",
+ "2017-03-06 12:36:41,093 INFO : System : SysTrace: /home/vagrant/lisa/tools/catapult/systrace/systrace/run_systrace.py -e FA6A10306347 -o /home/vagrant/lisa/results/UiBench_example/trace.html gfx view sched freq idle -t 10\n",
+ "2017-03-06 12:36:41,104 INFO : UiBench : Benchmark [.TrivialAnimationActivity] started, waiting 10 [s]\n",
+ "2017-03-06 12:36:51,109 INFO : UiBench : Waiting systrace report [/home/vagrant/lisa/results/UiBench_example/trace.html]...\n",
+ "2017-03-06 12:36:58,056 INFO : Screen : Set orientation: AUTO\n",
+ "2017-03-06 12:37:00,104 INFO : Screen : Set brightness: AUTO\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Intialize Workloads for this test environment\n",
+ "results = experiment()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Benchmarks results"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Stats since: 58623815755246ns\r\n",
+ "Total frames rendered: 937\r\n",
+ "Janky frames: 10 (1.07%)\r\n",
+ "50th percentile: 8ms\r\n",
+ "90th percentile: 11ms\r\n",
+ "95th percentile: 12ms\r\n",
+ "99th percentile: 16ms\r\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Benchmark statistics\n",
+ "db_file = os.path.join(te.res_dir, \"framestats.txt\")\n",
+ "!sed '/Stats since/,/99th/!d;/99th/q' {db_file}\n",
+ "\n",
+ "# For all results:\n",
+ "# !cat {results['db_file']}"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Traces visualisation\n",
+ "\n",
+ "For more information on this please check **examples/trace_analysis/TraceAnalysis_TasksLatencies.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
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+ " * Copyright 2015-2016 ARM Limited\n",
+ " *\n",
+ " * Licensed under the Apache License, Version 2.0 (the \"License\");\n",
+ " * you may not use this file except in compliance with the License.\n",
+ " * You may obtain a copy of the License at\n",
+ " *\n",
+ " * http://www.apache.org/licenses/LICENSE-2.0\n",
+ " *\n",
+ " * Unless required by applicable law or agreed to in writing, software\n",
+ " * distributed under the License is distributed on an \"AS IS\" BASIS,\n",
+ " * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
+ " * See the License for the specific language governing permissions and\n",
+ " * limitations under the License.\n",
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10.16558200000145]]}, \"Binder:636_2-4756\": {\"1\": [[10.253206000001228, 10.253330999999889]]}}});\n",
+ " }); /* TRAPPY_PUBLISH_REMOVE_LINE */\n",
+ " </script>\n",
+ " </div>"
+ ],
+ "text/plain": [
+ "<IPython.core.display.HTML object>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Parse all traces\n",
+ "platform_file = os.path.join(te.res_dir, 'platform.json')\n",
+ "with open(platform_file, 'r') as fh:\n",
+ " platform = json.load(fh)\n",
+ "trace_file = os.path.join(te.res_dir, 'trace.html')\n",
+ "trace = Trace(platform, trace_file, events=my_conf['ftrace']['events'])\n",
+ "\n",
+ "trappy.plotter.plot_trace(trace.ftrace)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:38:57,076 WARNING : Analysis : Event [sched_overutilized] not found, plot DISABLED!\n",
+ "2017-03-06 12:38:57,092 WARNING : Analysis : Event [sched_overutilized] not found, plot DISABLED!\n",
+ "2017-03-06 12:38:57,289 INFO : Analysis : LITTLE cluster average frequency: 0.539 GHz\n",
+ "2017-03-06 12:38:57,289 INFO : Analysis : big cluster average frequency: 0.650 GHz\n",
+ "2017-03-06 12:38:57,290 INFO : root : Plotting cluster frequencies for [sched]...\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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O2LPmU9/9Y8DvA+8Avg8cDSxi8tmbf00oYD4b+JOG6RwCfAo4FVgPfJVQyLyYUNj8z0xe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\nQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f4aacfd5850>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "try:\n",
+ " trace.analysis.frequency.plotClusterFrequencies();\n",
+ " logging.info('Plotting cluster frequencies for [sched]...')\n",
+ "except: pass"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ },
+ "toc": {
+ "toc_cell": false,
+ "toc_number_sections": true,
+ "toc_threshold": 6,
+ "toc_window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/ipynb/examples/android/workloads/Android_Gmaps.ipynb b/ipynb/examples/android/workloads/Android_Gmaps.ipynb
new file mode 100644
index 0000000..49c077b
--- /dev/null
+++ b/ipynb/examples/android/workloads/Android_Gmaps.ipynb
@@ -0,0 +1,987 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "# GMaps on Android"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "The goal of this experiment is to test out GMaps on a Pixel device running Android and collect results."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-07 11:58:33,971 INFO : root : Using LISA logging configuration:\n",
+ "2017-03-07 11:58:33,972 INFO : root : /home/vagrant/lisa/logging.conf\n"
+ ]
+ }
+ ],
+ "source": [
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Populating the interactive namespace from numpy and matplotlib\n"
+ ]
+ }
+ ],
+ "source": [
+ "%pylab inline\n",
+ "\n",
+ "import json\n",
+ "import os\n",
+ "\n",
+ "# Support to access the remote target\n",
+ "import devlib\n",
+ "from env import TestEnv\n",
+ "\n",
+ "# Import support for Android devices\n",
+ "from android import Screen, Workload\n",
+ "\n",
+ "# Support for trace events analysis\n",
+ "from trace import Trace\n",
+ "\n",
+ "# Suport for FTrace events parsing and visualization\n",
+ "import trappy\n",
+ "\n",
+ "import pandas as pd\n",
+ "import sqlite3\n",
+ "\n",
+ "from IPython.display import display"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true,
+ "deletable": true,
+ "editable": true
+ },
+ "outputs": [],
+ "source": [
+ "def experiment():\n",
+ " # Configure governor\n",
+ " target.cpufreq.set_all_governors('sched')\n",
+ " \n",
+ " # Get workload\n",
+ " wload = Workload.getInstance(te, 'GMaps')\n",
+ " \n",
+ " # Run GMaps\n",
+ " wload.run(out_dir=te.res_dir,\n",
+ " collect=\"ftrace\",\n",
+ " location_search=\"London British Museum\",\n",
+ " swipe_count=10)\n",
+ " \n",
+ " # Dump platform descriptor\n",
+ " te.platform_dump(te.res_dir)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "# Test environment setup"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "For more details on this please check out **examples/utils/testenv_example.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "**devlib** requires the ANDROID_HOME environment variable configured to point to your local installation of the Android SDK. If you have not this variable configured in the shell used to start the notebook server, you need to run a cell to define where your Android SDK is installed or specify the ANDROID_HOME in your target configuration."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "In case more than one Android device are conencted to the host, you must specify the ID of the device you want to target in **my_target_conf**. Run **adb devices** on your host to get the ID."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true
+ },
+ "outputs": [],
+ "source": [
+ "# Setup target configuration\n",
+ "my_conf = {\n",
+ "\n",
+ " # Target platform and board\n",
+ " \"platform\" : 'android',\n",
+ " \"board\" : 'pixel',\n",
+ " \n",
+ " # Device serial ID\n",
+ " # Not required if there is only one device connected to your computer\n",
+ " \"device\" : \"HT67M0300128\",\n",
+ " \n",
+ " # Android home\n",
+ " # Not required if already exported in your .bashrc\n",
+ " \"ANDROID_HOME\" : \"/home/vagrant/lisa/tools/\",\n",
+ "\n",
+ " # Folder where all the results will be collected\n",
+ " \"results_dir\" : \"Gmaps_example\",\n",
+ "\n",
+ " # Define devlib modules to load\n",
+ " \"modules\" : [\n",
+ " 'cpufreq' # enable CPUFreq support\n",
+ " ],\n",
+ "\n",
+ " # FTrace events to collect for all the tests configuration which have\n",
+ " # the \"ftrace\" flag enabled\n",
+ " \"ftrace\" : {\n",
+ " \"events\" : [\n",
+ " \"sched_switch\",\n",
+ " \"sched_wakeup\",\n",
+ " \"sched_wakeup_new\",\n",
+ " \"sched_overutilized\",\n",
+ " \"sched_load_avg_cpu\",\n",
+ " \"sched_load_avg_task\",\n",
+ " \"sched_load_waking_task\",\n",
+ " \"cpu_capacity\",\n",
+ " \"cpu_frequency\",\n",
+ " \"cpu_idle\",\n",
+ " \"sched_tune_config\",\n",
+ " \"sched_tune_tasks_update\",\n",
+ " \"sched_tune_boostgroup_update\",\n",
+ " \"sched_tune_filter\",\n",
+ " \"sched_boost_cpu\",\n",
+ " \"sched_boost_task\",\n",
+ " \"sched_energy_diff\"\n",
+ " ],\n",
+ " \"buffsize\" : 100 * 1024,\n",
+ " },\n",
+ "\n",
+ " # Tools required by the experiments\n",
+ " \"tools\" : [ 'trace-cmd', 'taskset'],\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-07 11:58:34,695 INFO : TestEnv : Using base path: /home/vagrant/lisa\n",
+ "2017-03-07 11:58:34,696 INFO : TestEnv : Loading custom (inline) target configuration\n",
+ "2017-03-07 11:58:34,697 INFO : TestEnv : External tools using:\n",
+ "2017-03-07 11:58:34,697 INFO : TestEnv : ANDROID_HOME: /home/vagrant/lisa/tools/\n",
+ "2017-03-07 11:58:34,698 INFO : TestEnv : CATAPULT_HOME: /home/vagrant/lisa/tools/catapult\n",
+ "2017-03-07 11:58:34,699 INFO : TestEnv : Devlib modules to load: ['bl', 'cpufreq']\n",
+ "2017-03-07 11:58:34,699 INFO : TestEnv : Connecting Android target [HT67M0300128]\n",
+ "2017-03-07 11:58:34,700 INFO : TestEnv : Connection settings:\n",
+ "2017-03-07 11:58:34,700 INFO : TestEnv : {'device': 'HT67M0300128'}\n",
+ "2017-03-07 11:58:34,816 INFO : android : ls command is set to ls\n",
+ "2017-03-07 11:58:35,276 INFO : TestEnv : Initializing target workdir:\n",
+ "2017-03-07 11:58:35,277 INFO : TestEnv : /data/local/tmp/devlib-target\n",
+ "2017-03-07 11:58:36,858 INFO : TestEnv : Topology:\n",
+ "2017-03-07 11:58:36,860 INFO : TestEnv : [[0, 1], [2, 3]]\n",
+ "2017-03-07 11:58:37,058 INFO : TestEnv : Loading default EM:\n",
+ "2017-03-07 11:58:37,060 INFO : TestEnv : /home/vagrant/lisa/libs/utils/platforms/pixel.json\n",
+ "2017-03-07 11:58:37,626 WARNING : AndroidTarget : Event [sched_load_waking_task] not available for tracing\n",
+ "2017-03-07 11:58:37,631 INFO : TestEnv : Enabled tracepoints:\n",
+ "2017-03-07 11:58:37,631 INFO : TestEnv : sched_switch\n",
+ "2017-03-07 11:58:37,632 INFO : TestEnv : sched_wakeup\n",
+ "2017-03-07 11:58:37,632 INFO : TestEnv : sched_wakeup_new\n",
+ "2017-03-07 11:58:37,633 INFO : TestEnv : sched_overutilized\n",
+ "2017-03-07 11:58:37,633 INFO : TestEnv : sched_load_avg_cpu\n",
+ "2017-03-07 11:58:37,634 INFO : TestEnv : sched_load_avg_task\n",
+ "2017-03-07 11:58:37,635 INFO : TestEnv : sched_load_waking_task\n",
+ "2017-03-07 11:58:37,635 INFO : TestEnv : cpu_capacity\n",
+ "2017-03-07 11:58:37,636 INFO : TestEnv : cpu_frequency\n",
+ "2017-03-07 11:58:37,636 INFO : TestEnv : cpu_idle\n",
+ "2017-03-07 11:58:37,637 INFO : TestEnv : sched_tune_config\n",
+ "2017-03-07 11:58:37,638 INFO : TestEnv : sched_tune_tasks_update\n",
+ "2017-03-07 11:58:37,638 INFO : TestEnv : sched_tune_boostgroup_update\n",
+ "2017-03-07 11:58:37,639 INFO : TestEnv : sched_tune_filter\n",
+ "2017-03-07 11:58:37,640 INFO : TestEnv : sched_boost_cpu\n",
+ "2017-03-07 11:58:37,641 INFO : TestEnv : sched_boost_task\n",
+ "2017-03-07 11:58:37,642 INFO : TestEnv : sched_energy_diff\n",
+ "2017-03-07 11:58:37,643 INFO : TestEnv : Set results folder to:\n",
+ "2017-03-07 11:58:37,643 INFO : TestEnv : /home/vagrant/lisa/results/Gmaps_example\n",
+ "2017-03-07 11:58:37,644 INFO : TestEnv : Experiment results available also in:\n",
+ "2017-03-07 11:58:37,645 INFO : TestEnv : /home/vagrant/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "te = TestEnv(my_conf, wipe=False)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "# Workload execution"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-07 11:58:38,241 INFO : Workload : Supported workloads available on target:\n",
+ "2017-03-07 11:58:38,242 INFO : Workload : youtube, gmaps\n",
+ "2017-03-07 11:58:39,292 INFO : Screen : Set brightness: 0%\n",
+ "2017-03-07 11:58:40,713 INFO : Screen : Force manual orientation\n",
+ "2017-03-07 11:58:40,714 INFO : Screen : Set orientation: PORTRAIT\n",
+ "2017-03-07 11:58:43,978 INFO : GMaps : FTrace START\n",
+ "2017-03-07 11:58:45,948 INFO : GMaps : Opening GMaps to [geo:0,0?q=London+British+Museum]\n",
+ "2017-03-07 11:59:28,839 INFO : GMaps : FTrace STOP\n",
+ "2017-03-07 11:59:52,547 INFO : Screen : Set brightness: AUTO\n",
+ "2017-03-07 11:59:52,548 INFO : Screen : Set orientation: AUTO\n"
+ ]
+ }
+ ],
+ "source": [
+ "results = experiment()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "# Trace analysis"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "For more information on this please check **examples/trace_analysis/TraceAnalysis_TasksLatencies.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-07 12:03:21,641 INFO : Trace : Platform clusters verified to be Frequency coherent\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Load traces in memory (can take several minutes)\n",
+ "platform_file = os.path.join(te.res_dir, 'platform.json')\n",
+ "\n",
+ "with open(platform_file, 'r') as fh:\n",
+ " platform = json.load(fh)\n",
+ "\n",
+ "trace_file = os.path.join(te.res_dir, 'trace.dat')\n",
+ "trace = Trace(platform, trace_file, events=my_conf['ftrace']['events'], normalize_time=False)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "name=\"GLRunner 484\" pid=19308\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Find exact task name & PID\n",
+ "for name in trace.tasks.keys():\n",
+ " if \"GLRunner\" in name:\n",
+ " glrunner = {\"pid\" : trace.getTaskByName(name)[0], \"name\" : name}\n",
+ " \n",
+ " \n",
+ "print(\"name=\\\"\" + glrunner[\"name\"] + \"\\\"\" + \" pid=\" + str(glrunner[\"pid\"]))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "# EAS-induced wakeup latencies"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "In this example we are looking at a specific task : **GLRunner**. **GLRunner** is a very CPU-heavy task, and is also boosted (member of the top-app group) in EAS, which makes it an interesting task to study.\n",
+ "\n",
+ "To study the behaviour of **GLRunner**, we'll be looking at the wakeup decisions of the scheduler. We'll be looking for times at which the task took \"too long\" to wake up, i.e it was runnable and had to wait some time to actually be run. In our case that latency treshold is (arbitrarily) set to 1ms.\n",
+ "\n",
+ "We're also on the lookout for when the task has been moved from one CPU to another. Depending on several parameters (kernel version, boost values, etc), the task could erroneously be switched to another CPU which could induce wakeup latencies.\n",
+ "\n",
+ "Finally, we're only interested in scheduling decisions made by EAS, so we'll only be looking at wakeup latencies that occured when the system was not overutilized, i.e EAS was enabled."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true,
+ "scrolled": true
+ },
+ "outputs": [],
+ "source": [
+ "# Helper functions to pinpoint issues\n",
+ "\n",
+ "def find_prev_cpu(trace, taskname, time):\n",
+ " sdf = trace.data_frame.trace_event('sched_switch')\n",
+ " sdf = sdf[sdf.prev_comm == taskname]\n",
+ " sdf = sdf[sdf.index <= time]\n",
+ " sdf = sdf.tail(1)\n",
+ " \n",
+ " wdf = trace.data_frame.trace_event('sched_wakeup')\n",
+ " wdf = wdf[wdf.comm == taskname]\n",
+ " wdf = wdf[wdf.index <= time]\n",
+ " # We're looking for the previous wake event,\n",
+ " # not the one related to the wake latency\n",
+ " wdf = wdf.tail(2)\n",
+ " \n",
+ " stime = sdf.index[0]\n",
+ " wtime = wdf.index[1]\n",
+ " \n",
+ " if stime > wtime:\n",
+ " res = wdf[\"target_cpu\"].values[0]\n",
+ " else:\n",
+ " res = sdf[\"__cpu\"].values[0]\n",
+ " \n",
+ " return res\n",
+ " \n",
+ "def find_next_cpu(trace, taskname, time):\n",
+ " wdf = trace.data_frame.trace_event('sched_wakeup')\n",
+ " wdf = wdf[wdf.comm == taskname]\n",
+ " wdf = wdf[wdf.index <= time].tail(1)\n",
+ " return wdf[\"target_cpu\"].values[0]\n",
+ "\n",
+ "def trunc(value, precision):\n",
+ " offset = pow(10, precision)\n",
+ " res = int(value * offset)\n",
+ " return float(res) / offset"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-07 12:03:53,563 INFO : Analysis : Parsing sched_switch states assuming kernel v3.18\n",
+ "2017-03-07 12:03:53,564 INFO : Analysis : Parsing sched_switch states assuming kernel v3.18\n",
+ "2017-03-07 12:03:53,565 INFO : Analysis : Parsing sched_switch states assuming kernel v3.18\n",
+ "2017-03-07 12:03:53,582 INFO : Analysis : Parsing sched_switch states assuming kernel v3.18\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Look for latencies > 1 ms\n",
+ "df = trace.data_frame.latency_wakeup_df(glrunner[\"pid\"])\n",
+ "df = df[df.wakeup_latency > 0.001]\n",
+ "\n",
+ "# Load times at which system was overutilized (EAS disabled)\n",
+ "ou_df = trace.data_frame.overutilized()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1.1ms @ 26863.66521 [CPU SWITCH]\n",
+ "1.5ms @ 26865.66686\n",
+ "2.5ms @ 26866.69789\n",
+ "12.0ms @ 26872.9786\n",
+ "2.8ms @ 26884.95497\n",
+ "1.0ms @ 26885.95852 [CPU SWITCH]\n",
+ "2.0ms @ 26895.22396 [CPU SWITCH]\n",
+ "1.1ms @ 26896.19532\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Find which wakeup latencies were induced by EAS\n",
+ "# Times to look at will be saved in a times.txt file\n",
+ "\n",
+ "eas_latencies = []\n",
+ "times_file = te.res_dir + \"/times.txt\"\n",
+ "!touch {times_file}\n",
+ "\n",
+ "for time, cols in df.iterrows():\n",
+ " # Check if cpu was over-utilized (EAS disabled)\n",
+ " ou_row = ou_df[:time].tail(1)\n",
+ " if ou_row.empty:\n",
+ " continue\n",
+ " \n",
+ " was_eas = ou_row.iloc[0, 1] < 1.0\n",
+ " \n",
+ " if (was_eas):\n",
+ " toprint = \"{:.1f}ms @ {}\".format(cols[0] * 1000, trunc(time, 5)) \n",
+ " next_cpu = find_next_cpu(trace, glrunner[\"name\"], time)\n",
+ " prev_cpu = find_prev_cpu(trace, glrunner[\"name\"], time)\n",
+ " \n",
+ " if (next_cpu != prev_cpu):\n",
+ " toprint += \" [CPU SWITCH]\"\n",
+ " print toprint\n",
+ " \n",
+ " eas_latencies.append([time, cols[0]])\n",
+ " !echo {toprint} >> {times_file}\n",
+ " \n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "# Traces visualisation"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "For more information on this please check **examples/trace_analysis/TraceAnalysis_TasksLatencies.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "Here each latency is plotted in order to double-check that it was truly induced by an EAS decision. In LISA, the latency plots have a red background when the system is overutilized, which shouldn't be the case here."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-07 12:03:58,243 INFO : Analysis : Found: 2517 WAKEUP latencies\n",
+ "2017-03-07 12:03:58,302 INFO : Analysis : Found: 15435 PREEMPT latencies\n",
+ "2017-03-07 12:03:58,304 INFO : Analysis : Total: 17952 latency events\n",
+ "2017-03-07 12:03:58,308 INFO : Analysis : 97.2 % samples below 1 [ms] threshold\n",
+ "2017-03-07 12:04:14,282 INFO : Analysis : Found: 2517 WAKEUP latencies\n",
+ "2017-03-07 12:04:14,461 INFO : Analysis : Found: 15435 PREEMPT latencies\n",
+ "2017-03-07 12:04:14,463 INFO : Analysis : Total: 17952 latency events\n",
+ "2017-03-07 12:04:14,467 INFO : Analysis : 97.2 % samples below 1 [ms] threshold\n",
+ "2017-03-07 12:04:31,485 INFO : Analysis : Found: 2517 WAKEUP latencies\n",
+ "2017-03-07 12:04:31,801 INFO : Analysis : Found: 15435 PREEMPT latencies\n",
+ "2017-03-07 12:04:31,802 INFO : Analysis : Total: 17952 latency events\n",
+ "2017-03-07 12:04:31,808 INFO : Analysis : 97.2 % samples below 1 [ms] threshold\n",
+ "2017-03-07 12:04:46,868 INFO : Analysis : Found: 2517 WAKEUP latencies\n",
+ "2017-03-07 12:04:47,314 INFO : Analysis : Found: 15435 PREEMPT latencies\n",
+ "2017-03-07 12:04:47,316 INFO : Analysis : Total: 17952 latency events\n",
+ "2017-03-07 12:04:47,319 INFO : Analysis : 97.2 % samples below 1 [ms] threshold\n",
+ "2017-03-07 12:05:05,067 INFO : Analysis : Found: 2517 WAKEUP latencies\n",
+ "2017-03-07 12:05:05,644 INFO : Analysis : Found: 15435 PREEMPT latencies\n",
+ "2017-03-07 12:05:05,646 INFO : Analysis : Total: 17952 latency events\n",
+ "2017-03-07 12:05:05,650 INFO : Analysis : 97.2 % samples below 1 [ms] threshold\n",
+ "2017-03-07 12:05:21,738 INFO : Analysis : Found: 2517 WAKEUP latencies\n",
+ "2017-03-07 12:05:22,446 INFO : Analysis : Found: 15435 PREEMPT latencies\n",
+ "2017-03-07 12:05:22,447 INFO : Analysis : Total: 17952 latency events\n",
+ "2017-03-07 12:05:22,451 INFO : Analysis : 97.2 % samples below 1 [ms] threshold\n",
+ "2017-03-07 12:05:38,374 INFO : Analysis : Found: 2517 WAKEUP latencies\n",
+ "2017-03-07 12:05:39,225 INFO : Analysis : Found: 15435 PREEMPT latencies\n",
+ "2017-03-07 12:05:39,226 INFO : Analysis : Total: 17952 latency events\n",
+ "2017-03-07 12:05:39,230 INFO : Analysis : 97.2 % samples below 1 [ms] threshold\n",
+ "2017-03-07 12:05:55,378 INFO : Analysis : Found: 2517 WAKEUP latencies\n",
+ "2017-03-07 12:05:56,378 INFO : Analysis : Found: 15435 PREEMPT latencies\n",
+ "2017-03-07 12:05:56,379 INFO : Analysis : Total: 17952 latency events\n",
+ "2017-03-07 12:05:56,383 INFO : Analysis : 97.2 % samples below 1 [ms] threshold\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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SJEmSpI5WBq6SJEmSJHUYuEqSJEmSWs3AVZIkSZLUagaukiRJkqRWa2Xgaq/C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\nAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f831d1c0450>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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oUMaNG8eSJUuYNWsWdXV13HDDDfzLv/wLDz/8MACPPfYYt956Kw899NA7/i4O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\n54CwOreb2R4ze8XMrkpc70VEREREROL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OANntPJ+0T1xjp7EXdTH7P4OZpQJfBv67g+fr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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82be643050>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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kSR0GrpIkSZKkVmtl4OozrpIkSZKkjlYGrj7jKkmSJEnqaGXgKkmSJElSh4Gr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\n9kQZLElSHdS60BwJV+3HVZLU4z7SMDwM3Av8TneyIklS76l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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82b1c55b90>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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NGzjxxBP59re/zSc/+cl2/C1KkiRJUsvZQJHaQLkrRlo7fjj+4A/+gIEDBwLw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\nDlsBnFqgowB41t0/cfcDQBUwIba9joz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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82b8398b10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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SJKmlkYGrJEmSJEktBq6SJEmSpEYzcJUkSZIkNVojA1c7Z5IkSZIktTQycLVz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\nro2IyzPz1lHm+wDwrd1Zv4GrJKnHLQKOzcx1ABFxDvAfmfm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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82c635bc50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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byy+/nHnz5m37rhRJkiRJqjUbKNJBJiL2+LqSz3/+83zxi1/kvPPOo1QqMXXq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\niDgh7fi7EXGipNuAZRExPym/G3g8Ih7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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82c5bb2e10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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kSZIkqaOVgaskSZIkSR0GrpIkSZKkVmtl4OozrpIkSZKkjlYGrj7jKkmSJEnq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\n+DqF8ga2K8pgSZLqoNaF5lC46jiukqQu9+GG6UHgAeA3OpM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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82a7eb5a90>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82a8c839d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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kNZqBqyRJkiSp0RoZuNqrsCRJkiSppZGBq70KS5IkSZJaGhm4SpIkSZLUYuAq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\nIyJWRcS54yx3QkQMR8RrJtrmyBvXKVYVliT1tmXAHwCLqs/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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82b6619090>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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7N78SSZIkSWpR/u9dqYB69OjBmWeeySmnnMJJJ520w9ywYcO49NJLWblyJVde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\nkiRVD9/CI3WBX/96wpvK6utP4KCDztu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AuZn5WGZuBk4GvlrULQe67IHp0f7dOJIkSepr\nIqIZaM3MecV2a2YOLm7hPi8zTyjKFxXbD5fXFX/l+walL667A/dn5qzuvxJJkrqfCRRJkiRJkqQO\nOIVHkiRJkiSpAyZQJEmSJEmSOmACRZIkSZIkqQMmUCRJkiRJkjpgAkWSJEmSJKkDJlAkSZIkSZI6\nYAJFkiRJkiSpAyZQJEmSJEmSOmACRZIkSZIkqQP/D1DQjHHSoueUAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82ae1baad0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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fHiVJkiRJaldHBrY+PEqSJEmS1K6ODGwlSZIkSWqXga0kSZIkqdEMbCVJkiRJ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\nwZrpAeBe4HdakxVJkqae9g5sq3i2r29XazMiSdIEZOYprc6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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f829b524c50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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22Wd55plnmD9/Pg8++CDbt29n3bp1XHHFFfzt3/7tYde56667uPnmm4kIJk6c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\nJEmSJEntZIJFkiRJkiSpnUywSJIkSZK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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82b8a76c10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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RP2TmgJ2n1KZiPwEurrVvK9d57NTH6J116nwW+RmLWlP1H8DHIiKydER1H/COum6H0Fvw\n0otzKO8Nvq7Oe2yUn5LpNQg/o+ZlUv2cTmke2nnP7RZgSq2ZJcpPVUypw2+j1Ix0pj2UclM7icXU\n8g7gYOBTjXlOojTZfH0s6EAIYJWucuhcm1boGt5LjfkawMOZ+VSU9xff3kh7kNKLabNTq9MpNepb\nA9R97i09rt9XgY9ExMvrcbB5VxPj5jKO7aRFaV6/b/3/7yNim1qjP4fSaqGnZqtR3me+Arg2M/t6\n5/scYKcoPwezIqV33ocoNb4PUYKUw2ugsRalvG6p8x4bES+t67URZd86Kcs7i0TEvhGxdk2fTOl9\n+7uL5ID5725fRQmSF3mXNCIOpNSE7p5dPRNHxEsiYs+IWDUixkTEOyhNWa+s6c+NiM1qPrYC/hP4\ndOMB2teBd0X5WaDnUILjS2vaVEpz586+OZ2yv/b7UytRfgbo6n6S+9q/lkhm3l/X7T8iYlyU9+w3\ni/qOZkS8pXE+eIQS9Payv3wT+FCUjpdWp2zv82rz5Oby76Fuh3rufBWlA6z+XMWCmvaPUIL/e4G3\nUd5H/irwsfqQrE/1GtA5tlep35eJQWw/SS1g4Cppca6kNLPamXLj+iQLOiDZjNJE+M+U97aOqkEj\nlJuB91Ga6z1MeeJ+UGb+EqAGf2+uwx8BJrPgHS6AD1FuJu6i3Ay+ngVNA4nS2cwnFpPvf6DcnJ5D\n6V33d5R3vF7XNd5ldZ06n2n9zO9MSpO4fev391De0ZtN6fyjl9q5AWXmvXUZn6Cs9711OT2dqzPz\niVqj8McsvcTOBZ6q25vMvILSHPjbETGXUov275l5ZW3e15z2YWBe/f63/pYZpffUKX0M34lSw3Na\nc76ZeQmlI67m+5BzWbgcXl2HH9A1vJdmuUcAn46IxynvUnaaKXeaaR4LXBulGeZOWd7n/Tylqe4c\nSgC/Zx/zXURttnospZb3cUpz+ef2MepJlFrgK2u+fkHpTAZKbf2FlKD1DsrN/iI1kv34B0oQ965Y\n+PdUN6r5u5Py3vTplONsX2CfLL2+JqVDqr0pQewMStD8oTrvsXW95lJ+Zud6ysOpjv3rNI8DZ1Pe\nrfyvTmKUZpgH1q+HUoK5ac18Nub1WUoT5hsa6Z0ANyjH5QOUBymHAXtl5syavi7lOP4zpRnymZl5\nRmfGmXlmzd8vKU1e/0JtDp/lXdDmPv9XYE5mdr9/37QhcG1fCX3tX4uZz+IcRGnK/xtKuV3IglrN\nHYBf1u13CaXZdX8/Q9R0JmW/+hnlfPgUpdOwvrydsn8+THmoeHZ/M61NyteOiAOz9Oz86sxcLzPf\nlZl/D+yWpWf6xXmSsp8B/Jal75ysF0u7/SS1QJRrl6RnuygdF/0FODkz/3Wg8fXsExF3Ut79PD8z\nfTdsmHmMDq8ovz96IiWI3yoz746ImyjNmfvqPfpZqdaoX0l5WPgV4G5KoH0IsGOWjrWGalnL7Bjw\n/Ca1n4GrJEmSllpttv5hSkua8ZRa/IspNfGD/X1cSQIMXCVJkiRJLec7rpIkSZKkVjNwlSRJkiS1\n2iI//dAm6z73uTlhww1HOhvLnzFL9Nv2kiRJkrRM3HjjjQ9l5vMGGq/VgeuEDTdk+uWXj3Q2lj/r\nrz/SOZAkSZIkIuKeXsazqbAkSZIkqdUMXCVJkiRJrWbgKkmSJElqNQNXSZIkSVKrGbhKkiRJklrN\nwFWSJEmS1GoGrpIkSZKkVjNwlSRJkiS1moGrJEmSJKnVDFwlSZIkSa1m4CpJkiRJarWVhnNhEfFG\n4A3AOOBrmXnlcC5fkiRJkjT69FzjGhFnRsQDEXFb1/A9IuLOiJgREUctbh6ZeXFmvgc4HHjb0mVZ\nkiRJkvRssiQ1rmcBpwJndwZExIrAacDuwCzghoi4BFgROK5r+kMy84H6/yfrdJIkSZIkLVbPgWtm\n/iwiJnQNngzMyMy7ASLiW8C+mXkcsFf3PCIigM8Bl2fmr5c205IkSZKkZ4/Bds60AXBv4/usOqw/\n7wd2A/aLiMP7GiEiDouI6REx/cHZsweZPUmSJEnSaDesnTNl5snAyQOMcwZwBsD2EyfmcORLkiRJ\nktReg61xvQ/YsPF9fB0mSZIkSdKQGGzgegPwoojYJCJWBvYHLhlspiJi74g447E5cwY7K0mSJEnS\nKLckP4fzTeB6YIuImBUR787MZ4AjgSuAO4DzM/P2wWYqM7+XmYetOW7cYGclSZIkSRrllqRX4QP6\nGX4ZcNmQ5UiSJEmSpIbBNhVeJmwqLEmSJEnqaGXgalNhSZIkSVJHKwNXSZIkSZI6DFwlSZIkSa3W\nysDVd1wlSZIkSR2tDFx9x1WSJEmS1NHKwFWSJEmSpA4DV0mSJElSq7UycPUdV0mSJElSRysDV99x\nlSRJkiR1tDJwlSRJkiSpw8BVkiRJktRqBq6SJEmSpFZrZeBq50ySJEmSpI5WBq52ziRJkiRJ6mhl\n4CpJkiRJUoeBqyRJkiSp1QxcJUmSJEmtZuAqSZIkSWq1Vgau9iosSZIkSepoZeBqr8KSJEmSpI5W\nBq6SJEmSJHUYuEqSJEmSWs3AVZIkSZLUagaukiRJkqRWM3CVJEmSJLWagaskSZIkqdVaGbj6O66S\nJEmSpI5WBq7+jqskSZIkqaOVgaskSZIkSR0GrpIkSZKkVjNwlSRJkiS1moGrJEmSJKnVDFwlSZIk\nSa1m4CpJkiRJajUDV0mSJElSqxm4SpLUEtOmjXQOJElqJwNXSZJa4lOfGukcSJLUTq0MXCNi74g4\n47E5c0Y6K5IkSZKkEdbKwDUzv5eZh605btxIZ0WSpGVq2jSIKB9Y8L/NhiVJWiAyc6Tz0K/tJ07M\n6ZdfPtLZWP6sv/5I50CS1IcIaPFlWZKkIRcRN2bm9gON18oaV0mSJEmSOgxcJUlqiWOOGekcSJLU\nTgaukiS1hO+1SpLUNwNXSZIkSVKrGbhKkiRJklrNwFWSJEmS1GoGrpIkSZKkVjNwlSRJkiS1moGr\nBHblKUmSJLWYgasE8KlPjXQOJEmSJPXDwFWSJEmS1GoGrnr2mjYNIsoHFvxvs2FJkiSpVSIzRzoP\n/dp+4sScfvnlI52N5c/66490DtonAlp8LEiSJEnLo4i4MTO3H2i8YatxjYgtI+L0iLggIg4druVK\nkiRJkka3ngLXiDgzIh6IiNu6hu8REXdGxIyIOGpx88jMOzLzcOBtwOuWPsvSMnDMMSOdA0mSJEn9\nWKnH8c4CTgXO7gyIiBWB04DdgVnADRFxCbAicFzX9Idk5gMRsQ9wBPCVXhZ656N3seul+y00bK+N\nduMj2x4OsEia6T2mr//pkn7Wroumv3gvPrLzR5596ROAs3Ztb/5MN91000033XTTTTd9OUzvVU+B\na2b+LCImdA2eDMzIzLsBIuJbwL6ZeRywVz/zuQS4pAa4F/U1TkQcBhwGsMr6K/eSPUmSJEnScqzn\nzplq4HppZr60ft8P2CMzD63f3wnsmJlH9jP9rsCbgLHAbzPzPwdapp0zLSN2ziRJkiSpBXrtnKnX\npsKDlplXA1cP1/IkSZIkScuHwfQqfB+wYeP7+Dps0CJi74g447E5c4ZidpIkSZKkUWwwgesNwIsi\nYpOIWBnYH7hkKDKVmd/LzMPWHDduKGYnSZIkSRrFev05nG8C1wNbRMSsiHh3Zj4DHAlcAdwBnJ+Z\nty+7rEqSJEmSno167VX4gH6GXwZcNqQ5kiRJkiSpYTBNhZcZ33GVJEmSJHW0MnD1HVdJkiRJUkcr\nA1dJkiRJkjpaGbjaVFiSJEmS1NHKwNWmwpIkSZKkjlYGrpIkSZIkdRi4SpIkSZJarZWBq++4SpIk\nSZI6Whm4+o6rJEmSJKmjlYGrJEmSJEkdBq6SJEmSpFYzcJUkSZIktVorA1c7Z5IkSZIkdbQycLVz\nJkmSJElSRysDV0mSJEmSOgxcJUmSJEmtZuAqSZIkSWo1A1dJkiRJUqsZuEqSJEmSWq2Vgas/hyNJ\nkiRJ6mhl4OrP4UiSJEmSOloZuEqSJEmS1GHgKkmSJElqNQNXSZIkSVKrGbhKkiRJklrNwFWSJEmS\n1GoGrpIkSZKkVmtl4OrvuEqSJEmSOloZuPo7rpIkSZKkjlYGrpIkSZIkdRi4SpIkSZJazcBVkiRJ\nktRqBq6SJEmSpFYzcJUkSZIktZqBqyRJkiSp1QxcJUmSJEmtZuAqSZIkSWo1A1dJkiRJUqu1MnCN\niL0j4ozH5swZ6axIkiRJkkZYKwPXzPxeZh625rhxI50VSZIkSdIIa2XgKkmSJElSh4GrJEmSJKnV\nDFwlSZIkSa1m4CpJkiRJajUDV0mSJElSqxm4SpIkSZJazcBVkiRJktRqBq6SJEmSpFYzcJUkSZIk\ntZqBqyRJkiSp1QxcJUmSJEmtZuAqSZIkSWo1A1dJkiRJUqsNa+AaEatFxPSI2Gs4lytJkiRJGr16\nClwj4syIeCAibusavkdE3BkRMyLiqB5m9XHg/KXJqCRJkiTp2WmlHsc7CzgVOLszICJWBE4Ddgdm\nATdExCXAisBxXdMfAkwEfgOMHVyWJUmSJEnPJj0Frpn5s4iY0DV4MjAjM+8GiIhvAftm5nHAIk2B\nI2JXYDVgK+DJiLgsM+ctfdYlSZIkSc8Gvda49mUD4N7G91nAjv2NnJlHA0TEVOCh/oLWiDgMOAxg\now02GET2JEmSJEnLg2HvVTgzz8rMSxeTfkZmbp+Z2z9vnXWGM2uSJEmSpBYaTOB6H7Bh4/v4OkyS\nJEmSpCEzmMD1BuBFEbFJRKwM7A9cMhSZioi9I+KMx+bMGYrZSZIkSZJGsV5/DuebwPXAFhExKyLe\nnZnPAEcCVwB3AOdn5u1DkanM/F5mHrbmuHFDMTtJkiRJ0ijWa6/CB/Qz/DLgsiHNkSRJkiRJDcPe\nOVMvbCosSZIkSepoZeBqU2FJkiRJUkcrA1dJkiRJkjoMXCVJkiRJrdbKwNV3XCVJkiRJHa0MXH3H\nVZIkSZLU0crAVZIkSZKkDgNXSZIkSVKrtTJw9R1XSZIkSVJHKwNX33GVJEmSJHW0MnCVJEmSJKnD\nwFWSJEmS1GoGrpIkSZKkVmtl4GrnTJIkSZKkjlYGrnbOJEmSJEnqaGXgKkmSJElSh4GrJEmSJKnV\nDFwlSZIkSa1m4CpJkiRJarVWBq72KixJkiRJ6mhl4GqvwpIkSZKkjlYGrpIkSZIkdRi4SpIkSZJa\nzcBVkiRJktRqBq6SJEmSpFYzcJUkSZIktZqBqyRJkiSp1VoZuPo7rpIkSZKkjlYGrv6OqyRJkiSp\no5WBqyRJkiRJHQaukiRJkqRWM3CVJEmSJLWagaskSZIkqdUMXCVJkiRJrWbgKkmSJElqNQNXSZIk\nSVKrGbhKkiRJklrNwFWSJEmS1GqtDFwjYu+IOOOxOXNGOiuSJEmSpBHWysA1M7+XmYetOW7cSGdF\nkiRJkjTCWhm4SpIkSZLUYeAqSZIkSWo1A1dJkiRJUqsZuEqSJEmSWs3AVZIkSZLUagaukiRJkqRW\nM3CVJEmSJLWagaskSZIkqdUMXCVJkiRJrWbgKkmSJElqNQNXSZIkSVKrGbhKkiRJklrNwFWSJEmS\n1GrDFrhGxK4RcU1EnB4Ruw7XciVJkiRJo1tPgWtEnBkRD0TEbV3D94iIOyNiRkQcNcBsEpgLjAVm\nLV12JUmSJEnPNiv1ON5ZwKnA2Z0BEbEicBqwOyUQvSEiLgFWBI7rmv4Q4JrM/GlEvAD4T+DAwWVd\nkiRJkvRs0FPgmpk/i4gJXYMnAzMy826AiPgWsG9mHgfstZjZPQKssuRZlSRJkiQ9G/Va49qXDYB7\nG99nATv2N3JEvAl4HbAWpfa2v/EOAw4D2GiDDQaRPUmSJEnS8mAwgesSycxvA9/uYbwzgDMAtp84\nMZd1viRJkiRJ7TaYXoXvAzZsfB9fh0mSJEmSNGQGE7jeALwoIjaJiJWB/YFLhiJTEbF3RJzx2Jw5\nQzE7SZIkSdIo1uvP4XwTuB7YIiJmRcS7M/MZ4EjgCuAO4PzMvH0oMpWZ38vMw9YcN24oZidJkiRJ\nGsV67VX4gH6GXwZcNqQ5kiRJkiSpYTBNhZcZmwpLkiRJkjpaGbjaVFiSJEmS1NHKwFWSJEmSpA4D\nV0mSJEngIdhYAAAgAElEQVRSq7UycPUdV0mSJElSRysDV99xlSRJkiR1tDJwlSRJkiSpw8BVkiRJ\nktRqrQxcfcdVkiRJktTRysDVd1wlSZIkSR2tDFwlSZIkSeowcJUkSZIktZqBqyRJkiSp1VoZuNo5\nkyRJkiSpo5WBq50zSZIkSZI6Whm4SpIkSZLUYeAqSZIkSWo1A1dJkiRJUqsZuEqSJEmSWq2Vgau9\nCkuSJEmSOloZuNqrsCRJkiSpo5WBqyRJkiRJHQaukiRJkqRWM3CVJEmSJLWagaskSZIkqdUMXCVJ\nkiRJrWbgKkmSJElqtZVGOgN9iYi9gb03nzBhpLMiSerB008/zaxZs3jqqadGOisSY8eOZfz48YwZ\nM2aksyJJGiKtDFwz83vA97afOPE9I50XSdLAZs2axRprrMGECROIiJHOjp7FMpPZs2cza9YsNtlk\nk5HOjiRpiNhUWJI0aE899RTrrLOOQatGXESwzjrrWPsvScsZA1dJ0pAwaFVbuC9K0vLHwFWSJEmS\n1GoGrpKkZ60JEybw0EMPjXQ2tBQuvvhifvOb34x0NiRJw8TAVZI0YqZNG+kcLKeGecP+7W9/G9bl\ngYGrJD3bGLhKkkbMpz41NPM5/vjjOfnkkwH40Ic+xKtf/WoArrrqKg488EDe9773sf3227P11ltz\nzDHHLDL9k08+yZ577slXvvIVAM455xwmT57MpEmTeO973zs/MFt99dXnT3PhhRcydepUAKZOncrh\nhx/O9ttvz4tf/GIuvfTSoVmxpTVUGxaYOXMmL3nJSzjwwAPZcsst2W+//XjiiSeYMGECH//4x3nZ\ny17GBRdcwF133cUee+zBy1/+cqZMmcJvf/tbAB588EHe/OY3s8MOO7DDDjtw7bXXAjBt2jQOPvhg\npkyZwsYbb8xFF13ERz7yEbbZZhv22GMPnn76aaDUin/sYx9jm222YfLkycyYMYPrrruOSy65hI9+\n9KNMmjSJu+66a8jWV5LUTgaukqRRb8qUKVxzzTUATJ8+nblz5/L0009zzTXXsMsuu3Dssccyffp0\nbrnlFn76059yyy23zJ927ty57L333hxwwAG85z3v4Y477uC8887j2muv5aabbmLFFVfk3HPPHTAP\nM2fO5Fe/+hXf//73Ofzww5erXm3vvPNOjjjiCO644w7GjRvHl770JQDWWWcdfv3rX7P//vtz2GGH\nccopp3DjjTdywgkncMQRRwDwgQ98gA996EPccMMNXHTRRRx66KHz53vXXXdx1VVXcckll/COd7yD\n17zmNdx6662suuqqfP/7358/3pprrsmtt97KkUceyQc/+EF23nln9tlnH44//nhuuukmNttss+Hd\nIJKkYWfgKkkaVtOmQUT5wIL/B9O69eUvfzk33ngjc+bMYZVVVuEVr3gF06dP55prrmHKlCmcf/75\nvOxlL2O77bbj9ttvX6iJ6b777su73vUuDjroIAB+/OMfc+ONN7LDDjswadIkfvzjH3P33XcPmIe3\nvvWtrLDCCrzoRS9i0003nV/jOGyWxYatNtxwQ175ylcC8I53vIOf//znALztbW8DSvB/3XXX8Za3\nvGV+LfX9998PwI9+9COOPPJIJk2axD777MOcOXOYO3cuAHvuuSdjxoxhm222Yd68eeyxxx4AbLPN\nNsycOXP+8g844ID5f6+//vpBr48kafRZaaQzIEl6dpk2bUEsFQGZg5/nmDFj2GSTTTjrrLPYeeed\n2XbbbfnJT37CjBkzWHXVVTnhhBO44YYbWHvttZk6depCtaGvfOUr+cEPfsDb3/52IoLM5OCDD+a4\n445bZDnNn1nprlHt/gmWYf9JlmWxYenMru91W2211QCYN28ea621FjfddNMi086bN49f/OIXjB07\ndpG0VVZZBYAVVliBMWPGzJ/vCiuswDPPPNPn8v2pG0l6drLGVZK0XJgyZQonnHACu+yyC1OmTOH0\n009nu+22Y86cOay22mqsueaa/OlPf+Lyyy9faLpPf/rTrL322vzjP/4jAK95zWu48MILeeCBBwB4\n+OGHueeeewB4wQtewB133MG8efP4zne+s9B8LrjgAubNm8ddd93F3XffzRZbbDEMaz08fv/738+v\n6fzGN77Bq171qoXSx40bxyabbMIFF1wAQGZy8803A/Da176WU045Zf64fQW3AznvvPPm/33FK14B\nwBprrMHjjz++5CsjSRqVWhm4RsTeEXHGY3PmjHRWJEnLUB/9JC21KVOmcP/99/OKV7yCF7zgBYwd\nO5YpU6YwceJEtttuO17ykpfw9re/fX6T16aTTjqJJ598ko997GNstdVWfPazn+W1r30t2267Lbvv\nvvv8Zq+f+9zn2Guvvdh5551Zb731FprHRhttxOTJk9lzzz05/fTT+6xhHDZDuWGBLbbYgtNOO40t\nt9ySRx55hPe9732LjHPuuefyta99jYkTJ7L11lvz3e9+F4CTTz6Z6dOns+2227LVVltx+umnL/Hy\nH3nkEbbddltOOukkTjzxRAD2339/jj/+eLbbbjs7Z5KkZ4HIIWxKNNS2nzgxp3c9GdcQWH/9kc6B\npOXMHXfcwZZbbjnS2RgxU6dOZa+99mK//fYb6awMuZkzZ7LXXntx2223jcjyJ0yYwPTp01l33XWX\naLpn+z4pSaNFRNyYmdsPNF4ra1wlSZIkSeqwcyZJkgbprLPOGuksLDMTJkwYsdpWYKHehSVJz17W\nuEqShkSbXz3Rs4v7oiQtfwxcJUmDNnbsWGbPnm3AoBGXmcyePXtkO8eSJA05mwpLkgZt/PjxzJo1\niwcffHCksyIxduxYxo8fP9LZkCQNIQNXSdKgjRkzhk022WSksyFJkpZTNhWWJEmSJLWagaskSZIk\nqdUMXCVJkiRJrRZt7gEyIh4E7lnMKOsCDw1TdjT0LL/Ry7Ib3Sy/0cuyG90sv9HN8hu9LLt22zgz\nnzfQSK0OXAcSEdMzc/uRzoeWjuU3ell2o5vlN3pZdqOb5Te6WX6jl2W3fLCpsCRJkiSp1QxcJUmS\nJEmtNtoD1zNGOgMaFMtv9LLsRjfLb/Sy7EY3y290s/xGL8tuOTCq33GVJEmSJC3/RnuNqyRJkiRp\nOWfgKkmSJElqtRENXCNij4i4MyJmRMRRfaRHRJxc02+JiJcNNG1EHB8Rv63jfyci1mqk/Usd/86I\neN2yX8Pl23CWX0RMiIgnI+Km+jl9eNZy+bSMyu4zddybI+KqiNiokeaxN4SGs/w89obWsii7RvqH\nIyIjYt3GMI+9ITSc5eexN/SW0blzWkTc1yin1zfSPP6GyHCWncdei2XmiHyAFYG7gE2BlYGbga26\nxnk9cDkQwE7ALweaFngtsFL9//PA5+v/W9XxVgE2qdOvOFLrP9o/I1B+E4DbRnq9l4fPMiy7cY3p\n/wn4Wv3fY290l5/HXsvLrqZvCFwB3AOsW4d57I3u8vPYGwXlB0wDPtLH8jz+Rm/Zeey19DOSNa6T\ngRmZeXdm/hX4FrBv1zj7Amdn8QtgrYhYb3HTZuaVmflMnf4XwPjGvL6VmX/JzN8BM+p8tHSGu/w0\ndJZV2c1pTL8aMLsxL4+9oTPc5aehs0zKrjoR+BiQXfPy2Bs6w11+GlrLsvz64vE3dIa77NRSIxm4\nbgDc2/g+qw7rZZxepgU4hPL0pdflqXfDXX4Am9QmGz+NiClLm3Etu7KLiGMj4l7gXcBxS7A89W64\nyw889obKMim7iNgXuC8zb16K5al3w11+4LE3lJblfcv7a/PUMyNi7SVYnnoz3GUHHnuttNx2zhQR\nRwPPAOeOdF605Poov/uBjTJzEvDPwDciYtxI5U99y8yjM3ND4OuUGgSNIv2Un8dei0XEc4BPAP82\n0nnRkhug/Dz2Rof/R2mGOolSZv8xstnREuiv7Dz2WmokA9f7KO90dIyvw3oZZ7HTRsRUYC/gwMzs\nNLvpZXnq3bCWX21qM7v+fyPlfYUXD8WKPAsts7JrOBfYYQmWp94Na/l57A2pZVF2m1Hen7s5ImbW\n4b+OiBf2uDz1bljLz2NvyC2Tc2dm/ikz/5aZ84CvsKA5sMff0BnWsvPYa7FeX4Yd6g+wEnA35YTd\neVl6665x3sDCL1r/aqBpgT2A3wDP65rX1iz8kvzd+JL8aCq/53XKi/J07D7guSO9HUbjZxmW3Ysa\n078fOLf+77E3usvPY6/lZdc1/UwWdO7jsTe6y89jbxSUH7BeY/oPUd5r9fgb3WXnsdfSz0qMkMx8\nJiKOpPSityJwZmbeHhGH1/TTgcsovYTNAJ6gvHfV77R11qdSThI/jAiAX2Tm4XXe51OComeAf8zM\nvw3T6i53hrv8gF2AT0fE08A84PDMfHh41nb5sgzL7nMRsQXwN8pF4n11Go+9ITTc5YfH3pBZhmXX\n3/I89obQcJcfHntDahmW3xciYhKlY62ZwHvrNB5/Q2S4yw6PvdaKTDuwkyRJkiS113LbOZMkSZIk\naflg4CpJkiRJajUDV0mSJElSqxm4SpIkSZJazcBVkiRJklogIo6PiN9GxC0R8Z2IWKuf8daKiAvr\nuHdExCvq8MkRcUNE3BQR0yNich2+ckR8PSJujYibI2LXxryujog76zQ3RcTz6/B/jojf1Lz8OCI2\nrsMnRcT1EXF7TXvbEqzfhyMiI2LdJd02Bq6SJC0jEbFO40bgjxFxX+P7dSOdP0nSyImIXSPirK7B\nPwRempnbAv8L/Es/k58E/CAzXwJMBO6ow78A/FtmTgL+rX4HeA9AZm4D7A78R0Q0Y8EDM3NS/TxQ\nh/0PsH3Ny4WNeT0BHJSZWwN7AF/sL8DuWt8NgdcCvx9o3L4YuEqStIxk5uzOjQBwOnBi48Zg55HO\nnySpXTLzysx8pn79BTC+e5yIWJPye7Nfq9P8NTMfrcl/BMbV/9cE/lD/3wq4qo7/APAosP0AeflJ\nZj7RnZfM/N/M/L/6/x+AB4Dn1by9PCJ+GhE3RsQVEbFeY5YnAh+j/HbuEjNw1VKJiE9ExFdHOh+D\nFRGr1CYQ6w089uhTm3Dsupj0qyPi0H7SNoqIuRGx4jLL4IJlzYyIJyPiv5fBvK+KiKci4udLMM20\niDhnqPPSx3Im1OYyKy3FtLtGxKzFpJ8VEZ+t/29r7V77RMTc+nfXepH/bkTcHRGfj4h31qZet0bE\nZnW850XERXX4DRHxypFdA42Ugc5RA537lxf1mPhtRKy6DOY9/xzaT/rciNh0qJe7tGp+/xoRM5fB\nvD8VEX9e2utV20TE1CW5JxjksjIiNl+K6SZERALvBi7vY5TPA2sAnaa/j0TE2jXt45Ta1HuBE1hQ\nY3szsE9ErBQRmwAvBzZszPO/amugf42I6GOZfealNkVeGbgrIsYApwD7ZebLgTOBY+t4+wL3ZebN\nS7ApFmLg2lL1Rn63pZiu30BkKGXmv2fmkC8nIl4cERdExEMR8VhtN//PEbFi4yZ/bv38KSIujYjd\nu+bRCYLmNj7r97PIw4CfZeb9ddq1IuK/IuKB+pnWmO9GXfOcW/Pz4X7W5aMRcVtEPB4Rv4uIjzbS\nVoqIb0XEoxHxg4gY10j7RET88yA243yZuXVmXl3nu0TBWGb+PjNXz8y/Lelyo7xHcWEti+zxBmrv\nzHznki5rIJn5auDw/tIHCgCXB5l5C/BoROw90nlRvyZS9tMtgXcCL8rMHYCvAu+v45xEqbHdAXhz\nTVOP2n5dHUrNc39/BvPgrEWOAs7KzCc7AyJit4j4dQ20ZkXEW7snioiD6rovdbnW6+PdSzt9LyLi\nMzUoeaZ5P7IYX8jMCUOdj8w8Bth6qOc7HNq6n0fELyPiJsp5fJ9Y8ArJ67pGfQY4t49ZrAA8F/h/\ntenvvcA3a9rXgA9k5obAh+p3KEHkLGA68EXgOqBzj3dgbfY7pX4Wuh+LiHdQameP7xq+HvDfwLsy\ncx6wBfBS4Id1/T4JjI+I5wCfoDRdXmoGrmqNKLUKv6QcfNtk5prAWyhPhNZojLpWZq5OudH7IfCd\niJjaNbu960Wl8/kDfTuccsB1nAg8B5gATAbeGRHvgoUCudXr8rcB5gEX9bdKwEHA2pT2/0dGxP41\n7U2UZhLrAo9RAmjqE7B9gJP7medo8nPgHZQmK8uttl0MF+Nc4L0jnQn164bMvD8z/wLMAK6ow2+l\nnI8AdgNOrTcDlwDjImL1Yc+p1INlfW6MiFWAg4FzGsO2Ar4BHE1pIjkRuLFrurUpN9C3L8v8DZEZ\nlGaV3x/pjAylUXTdJIohj5cyc8f6CsmhwCWNV0g65/796t93ZmZfzWrnAE9k5i/r9/8HdFrh7Ah8\nu/5/AeV+lsx8JjM/VJezL7AW5R1aMvO++vdxyjE0ubOg+sDvaGCfeo3qDB9H2TePzsxfdAYDtzfW\nZ5vMfC2wGbAJcHOUVgHjgV9HxAuXZLsZuI4yEbF2rWV8sDYLuDQixte0YylPSU6ttYGn1uEviYgf\nRsTDUXoMe2tjfmdFxGkR8f1aM/jLGkB20rduTPuniPhEHb5Q7V1E7BQR19UaxO6eyqZGaf7WqXk8\nsJ/V+xRwXWb+c6cGNDPvzMwDG+3258vMP2bmScA04PNLemKJiI2ATSnBcsfewPGZ+URmzqQ8pTqk\nn1kcRKmtndlXYmZ+ITN/XU8UdwLfZcFJZRPg6voOw09qPqAErB9uvNvQV77/PiJubXz/YUTc0Ph+\nTUS8sf4/sz593oNyoX5b3TeazTQ2johra/lcGbWXt+6nlLXW4TN9jdvHuv81M7+YmT9nwdO8JVKX\nfUREzKjL+0xEbBalF7vHIuK8iFi5jrtuPRYerfvqNb3sDxGxGqXZy/qxaO38yhFxdl327RGxfWO6\nmRHx8Yi4BfhzlBr09aM043yw7uf/1Bh/cpSe/ebU4+g/u7JyYET8PkpLg6Mb060SEV+MiD/Uzxfr\nzVpf67JdlFqGxyPiPGBs1yhXA6/pb3qNuL80/p/X+D4P6NzkrQDs1Lgh2CAz5w5nJpdHbbiuRsQL\nI+KJiFinMd7Lap7G9JP1gc5Ru9X/+zv//Kz+fbSu2ysiYoWI+GRE3BOl1dHZUd6l68z3oJo2O0pz\nwuZypkVpaXNORMwBptZlX1/PzfdHxKmd83adpufzfB92BB7NzGaLmU8CX87My+u1d3Zm3tU13XGU\na+1D/cy3ad1aVo9Hac6/cVfeN6//91vmUZxYt+ecKDWoL+1h2WTmf2Xm5cDjvYzfLcp1+7NR7s/m\nRsT3olwvz615uSEiJgw2n3X619Zj4bGI+FLdXofWtKlR7h1OjIjZlPs2IuKQKL3hPhLlXcjm9l3q\nY6zLIvt5Yz4n1GX/LiL27Npux0bEtZROiDaNiDUj4mt1P76vbtcV6/ib1/V9LMp1/LyuPOwWEf9X\nj4PTIkoz3Cj3Ke8E9mseb1Hu2ToPmp+s425Sl/F4RPyQco1/IiK2qOOtB4yt23AG8Hd1+KuB/6vz\neE6U+x6itFZ8JjN/E+UepnPvNwbYC7itft8O+DIlaO102EQ9Lr8DnJ2ZFzbW9U7gebGgh+MxEbF1\nZt6amc/PzAm1VcAs4GWZuWSVG5npp4UfYCawWx/D16E0EXsOpRbyAuDiRvrVwKGN76tRajDfRbn5\n2Y5yst6qpp8FzKY8WVmJUivzrZq2BnA/8GHKAbIGsGNNmwacU//foM7j9ZQbq93r9+fV5c8Btqjj\nrgds3c86/5HS1KC/bTKBUku5UtfwTevwLRe37fqY3xsoT4Wawx4CJje+Hw080se0AdwFTO2xPIPS\nM9vhjWWfB6xS//4j8A/A13uY16rAU5Ta2jHAn4D7avmsSjnJrdO9LZpl1rW/3AW8uE57NfC5vrb3\n4sYdIL+zgF2XdH+vy/4upYOBrSk38p0gf03gN8DBddzjKB3fjKmfKUA05jUV+Hk/y94VmNU1bFrd\nxq8HVqzz/0VXfm+ivBuyKmW/v5HSBGblmse7gdfV8a+nPDUFWJ0SfDS38VfqfCbW9ezsy5+mdIbw\nfMrxdB3wme5812XeQ2kSNIbypPZp4LNd6zUH2Haw5yc/S/ep+9VHGt/nNsry0sbwqym9OC6URnkK\n/tHGeJNGep1G06ev80wd3pbr6mXA+xrLORE4ZTH70kDnqM65f6Dzz0qN6Q6h3PRuWsf9NvDfNW0r\nYC7wqnrOOaGeZ5rXmKeBN1LOiatSWkztVLfDBEqvpx9sLK/n83wf2+Afge93Dbsb+AylpcL9lNrY\n5zbSJ1OaSa7QXa59zP8sSsC4C+VafRKN60jN++Y9lPnrKNeHtSj3AlsC6y3hvnsOMG2Acc5i0XP+\n1bU8N2tszxmU1hsrAWdT7zsGymdf+0sjbV3K9eVNdb4fqPvCoTV9KqXJ6/tr+qrAvjUvW9Zhn6RU\nXsAgjrE+8rZIvmt+nqb0srsi8D5KB0bR2G6/p+yTK1Guq9+hBHCrUa7JvwLeW8f/JuV+cQXKcf2q\nrv3k0rpdNwIeBPZoHG/3UXrrnX+81e3yhzrtTZT7m+vr8n9A2Scfp9R2TgduAS6mtCLYB9ih5u9m\nSuXMyxvb4k7KcfgjYOPG9r6xzud2yr6+Yk37EeU+86b6uaQOf0fdhjc1PpNq2iTKA4Ob6/ze08/5\neN0lPo8v6QR+hudD78HXJBqBFYteYN8GXNM1zZeBY+r/ZwFfbaS9Hvht/f8A4H/6We40FgSuH6de\n2BrpV1Ca8KxG6bXszcCqA6zL052DuZ/0CfQduI6tw1/Z2HZz63IfpXED0jXdgTQu9HXYOZSmv2sA\nm1MCtb/0Me2UuozVeyzPT9UDeJX6PYDP1ZPEGZQbp5sowcmx9YD/ErByP/O7hnKB2Am4Ejif0hz5\n74Fb+tqP6D9w/WTj+xGUrtUX2d6LG3eAdR9M4PrKxvcbgY83vv8H8MX6/6cpNz+b9zP/qSx54Pqj\nxvetgCe78ntI4/uOwO+75vEvLLgh+FndB9btGqezjcc3hv0K2L/+fxfw+kba64CZ3fmmXMTmX3Tr\nsOtY9CbmPmCXXvZZP0P/YfCB67qUB123UG5ATx/pdRpNn77OM/2MN1LX1f2Ba+v/K1Ie5k7uZ9xe\nzlGdc/9A55/mDf2PgSMa37egXJtXojyY+2Yj7TnAX1n4GvOzAbbtB4HvNL73fJ7vY15H0xWs1PzM\npDxgXZ1yPT+3sU2nsyBwX6hc+5j/Wc351/n9Ddiwkfdm4Npfmb+a0hxzJ2CFpdx3BxO4Ht21PS9v\nfN8buKmXfPa1vzTSDgKub3wPSuDZDFy7r5GXA+9ufF+BUru5MYM4xnrJd83PjK59OYEXNrbbpxvp\nL6A8VFm1MewA4Cf1/7Mp93Lj+1h+snAgez5wVA/H2/x8UwLeZ4DVGuN+g0Xv6a6l/ETNsJ5bh/Nj\nU+FRplbzfzlKU505lAvSWtF/z68bAzvW5gmPRsSjlICt2aa8WU3/BOXkDKU2qbuJTX/LeEvXMl5F\neVL3Z8oJ6HDg/tqs4yX9zGc2pUZ2SW1Q/z7cGPbGzFyrft7Yz3SPsPC7swD/RHmK/X+UQOiblMCr\n28HARdlDM72IOJJyUn9D1ncDsjgqM7fNzMMoHUycTnlKtj2licfK9N9M+aeUG9pd6v9X12n+rn5f\nEv2V/2DHHQp/avz/ZB/fO8s/nvKE8soozdKPGoJld6/r2Fj4vZx7G/9vTGlu3DwGPkG52EHpie/F\nwG9r06y9BlhWZ73Wp9SkdtxTh3Vbn9JTX3aN220NysMcjYDMnJaZJzS+r17/Xp2ZezWG75qZ07vT\nMvOhzHxbPW9slZn9djqm3rXounoxsFWUvg52Bx7LzF8tJusDnaM6Bjr/NPV1zlmJci5bn8Z5L8tP\nZMzumr55Xux0uHhplN8wngP8O+UBTFOv5/lufV3Dn6Q8MPzfen3+d0pQA+Vh6y254F28XjTXdy7l\nPqO/zh77LPPMvAo4FTgNeCAizohGh4zDoKftO8h8du8byaL3Tvd2fd8YOKlxDD1MCXg3YHDHWK/m\nT58Lfu6lOY/ua/wYyn1sJz9fptS8QnkPOYBfRWm2333vtiTX+M7x1rQ+5WHan7vG7bbcX+MNXEef\nD/P/27v3cDvK+tDj39/eO1dy4xpDggU0YPFSiwHUXoQiFq1tsEdbvFRrqSlVam17ekSPT6WnpcdL\nrdZWRbAIaJWq1ZZjURR71OdUkYsi90sEhHAL11wI2clOfuePdzZZe2VfVpK19pqV9f08z3oy6513\nZt6ZzJp3/2bmfd9yR+a4zFxACVyg/GBg53GR7gG+0xDELcrSudAftrCte9jR9nKqfJ9p2sY+mfk+\ngMy8LDNPogSlt1BeixzP5ZQns7vqVZTxo27dxeWuAw5rrOgz89EsbWqflqV3tQHKE7CnROl2/zXA\nhVNtoLp4nQmcmGPb4TTmeS7wYsrduucC11QX/auA502w6ubA9TtMHbg2nxt7jczckJl/lpmHU16T\n+dOIOLHVxXd3sw3T9wB3Nv0G5mfmK6ry3Z6Zr6VUcu8HvjTazmQK91EqzFFPZ8d4bI3uB5aOtptp\nyPuUiFhKuRmyq78TaW9Xi3o1MzdTXlN+A6XdW1uGB5vk+jPetW+8a84IJdi5n4bxJKu6cH/Gal7n\nJyj1/vLq2L6bHcd1T11HCcib0xrL0Dh9IvCqKoh+gFLvfiiqdssTeGqokCgdoe3H+NfgSWXmR7MM\nDXJUVeY/n2KRrtiDcjafG8HOY4+O9zv6g6bf0ZzM/B579hvbabd2Y5nm5e6hPHE9oKE8C6q/E8nS\n58pbMvNgStvUj0drQ+BM9ntrdD+wb9PfDc11/BDlTcHdHmqmFxi41tuMiJjd8Bmi3E15ktLIfD/g\nvU3LPMjYSvGrwBFRxgScUX2OiYifbWH7XwWWRMQ7onQSMz8ijhsn32eBX4+IX40ybM3sKEOMLIuI\nxRGxsvqxDVNer90+wfbeC7w4Ij4YVS9jURq8fzYiFjVnrtZ9RrXcu7J0w92yKpBczdie054REftX\n+z7ZeQAAACAASURBVPFySm+/zeO4vYpyp/f/Trb+KJ1Q/Q1wUk7QZX51cf9H4O1V+e8EfrFq9P4S\nSnud8XyP8ofWscCVmXkj1R1KdnRE0OxB4NDoQO9446nOmdEOgmZW50W7/mBp3tYrq3MlKL00b2Pi\n86zZg8D+0dAByW64EtgQpcOmOdX585yIOKYq3xsi4sDq/3j0bmgr5fs88J4oYxUeQHlVb7whjb5P\nqezeXv3Gf5OG87ryEuA/s6FHQKkP1b1evYjyGuNv0KbAdZLrz0PVv4379nngT6J0BDOPUof9S5YO\nA79EqetfXNVRZzF1EDqf0vZxY5S3rXYn8JjIlZQn40sb0j4NvDkiDo8y/MaZlGMO5bj+LOVV8OdT\nXhv+S8orxxN5RUSM1sl/RWle1PzkcFLVuXFclE5vnqC81bW9mve7Mcm4q9W5NZvy9/pQdc52ZGz1\nycrZgv8AnhsRp1S/qbcx9unoeM4B3hURz662vzAiXlPN25PfWLPxzvNdkqXD0G9QbnQsiNKJ2TMi\n4iVV2V8TVYdulL8Pk9br+Il+b43b/ynV+RpluMFfpLzm3ehYSlOi8Z7E7jUMXOvtUkplOvo5izLu\n0hxKI/UrKI20G/09pXeyxyLio1m6tX4Zpe3MfZTXFd5P6WhgUtWyJ1F+HA9QXp89YZx891Aa2b+b\ncoG4h3KXbqD6/Gm17UcpfzyPW3Fl6fnvRZT3+m+MiHWU9ilXM7ZHvccj4glK5wuvAF6TmedPtT8T\n+CRjx6p6QbXeDZTOLl5fBYWN3kR5wjzmLl5E/FJENL46/NeUu9FXxY4ea89pWtebgRsyc7S7/i9T\njtVD1bLnjlfo6nWRH1I6l9pSJX8f+Gk29PrW5IvVv49ExA8nyNNOt1LO26WUNs9PMvbOYjstpzyx\n30g5Dh/PzElvLIzKzFsolccdUV4Bmug1sMnWsY3SC9/zKTcfHqaMzTYaDJ9MOac3Un6jp2bDuIOT\n+Gt2dLxwPeX/vPlGCtU58JuUP8wepbye/+WmbK+n/KEg9bNa16tZemJP4Idt/AN03OtP9Xrk2cB/\nVde+F1LGefwM5QbonZTg5Y+qst1YTV9MeQK0kfK202Q3w/478DpKnXoepY12W1TXvQsoT6hH086n\nBP8/oLxKOUxpAkRmPl49GXsgS0+mW4D1mbluks18jnIj41HK3wdvmCTvRBZQ9v2xqkyPsGMszEMo\n7RInch7lPH0tJcB+kqbxNdtosnJOKjMfpryJ9oFquaModdeE50ZmfoXyu7k4ymvkNwAvr+bt9m9s\nnO2Md57vjjdS3lq6iXKMvsSO5m3HAD+ofmOXUMZQbWWM3wl/b+N4HeXhxKOUc/Kipvl9UcdH09/e\nUl+JMjTIjyiv8t7f7fL0q4i4lVIBfCUz39TmdX+T0tnElZnZ6uvDe5WIeB5liIgXTZlZUldFxLco\nnSB9qttlmUz1hOhxymvAd3apDAdSOiv8+RZvBtZKRHyDEuTc3IZ1nUcJcB/MzImGhtnddb+X8hBi\nFqWDoEmHuave7FpDufnf0k1k7b6IOIjSTOznqyYHey0DV0mSpBqIMhbrN4GnV0+daiUifp3SE2pQ\neqg9jjIWo39M9rmI+FXKk+4nKW/dvQ04vBdvKKi+fFVYkiSpyyLiQkpQ+Cd1DForKymvbt5HaaJx\nqkGrKi+i9Jj9MOVV+FMMWtVuPnGVJEmSJNWaT1wlSZIkSbVm4CpJkiRJqrWhbhdgMnMXzs1FT9tp\n+M5pd/D8XR4dQ5JUQ9dcc83DmXlgt8vRiog4nzLM0trMfE6VdhbwFsqQWQDvzsxLq3nvAk6jjGP8\n9sy8rEp/AWXYkDmU4WD+ODOz6lX9IsowH48Av52Zd01Vrm7WzdbHkrT3abVurnXguuhpi1j1yVXd\nLgZnHX9Wt4sgSWqDiOilwdkvAP6Rncfr+3Bm/m1jQkQcRRnz8NnAwcDlEXFENWzFJyjB7g8ogevJ\nwNcoQe5jmfnMiDiVMk7ib09VqG7WzdbHkrT3abVubsurwhFxfkSsjYgbJpgfEfHRiFgdEddFxNHt\n2K4kSXurzPwuZbD5VqwELs7M4WpMzdXAsRGxBFiQmVdUvb9eBJzSsMyF1fSXgBMjItq3B5IktU+7\n2rheQLmDO5GXU7pNXw6sotz9lSRJu+6PqpvA50fEvlXaUuCehjxrqrSl1XRz+phlMnMEWAfs38mC\nS5K0u9oSuLZwV3glcFEWVwCLqrvAkiSpdZ8ADgeeD9wPfGg6NhoRqyLi6oi4etO6TdOxSUmSxpiu\nNq4T3Qm+f5q2XxuZyfDIdjYOj/DE8AibtmxjeGQ727ZvZ+u2ZGRbMrJ9e/Vvmd62Pat520ta9W8m\nJKP/jq5/R9ro9kbn75Q/c9zlGvPy1Pex82Cc7Yy3jYb8oyk7ltmxnrHfx5/PTvNbG4O41ZGKWx3S\nuPX1tbd8rWbMFjO2vL/d2m5r2VpeX6trrPt50K3ytapr50ufDEmemQ+OTkfEecBXq6/3Aoc0ZF1W\npd1bTTenNy6zJiKGgIWUTprG2+65wLkABx95cJ8cbUlSndSuc6aIWEV5nZiFixd2uTSt2b49Wbth\nmLsf3cTaDZt5eMMwD20c5qEN5fP4k1tZt2krjz+5lQ2bt7J1W33q/AiIp6aDeCqtzGj8Hk99j6eW\noTGtaX5pKRVPbWfHt8bvE80f28zqqfkTLDflfraWbaft7un6Ws3YrfK1fvxa3G6bW8d1bX+7dFxa\nP6+6dR60ur56n6e9LCKWZOboTd9XAaN9S1wCfC4i/o7SOdNy4MrM3BYR6yPihZTOmd4I/EPDMm8C\nvg+8GvjPbOFOxtr1w3zk8tt2Sn/HS4/Y/R2TJGkK0xW4TnQneCd1vas7sm07dzz8BLc/uJHbHtzA\nmseeZO2Gzdy/bjP3PLqJ4ZHtY/IPDgT77TOTxQtmse/cmSxdNIeFc2awYM4M5s0aYv7sIfaZOcTc\nmYPMnjHI0GAwOBDMGBwo/w5U/zalDw0GQ9W8gRgn2GRskDdewBnR+h+WkrQ3iT/sdglaFxGfB44H\nDoiINcB7geMj4vmUh+p3AX8AkJk3RsQXgJuAEeBtVY/CAG9lx3A4X6s+AP8EfCYiVlOa+5za+b2S\nJGn3TFfgeglwRkRcDBwHrGu4Y1xbT2yewZ3378frV1/B1Xc99lRwGgFPWzCbg+bP4hkH7sPxRxzI\nz+w/l6fvvw+LF8ziwHklWB0YMDiUJO2ezHztOMn/NEn+s4Gzx0m/GnjOOOmbgdfsSRklSZou7RoO\n5/OUV42OjIg1EXFaRJweEadXWS4F7qB0z38e5e7vlOY/soGzTvjLnT7zH94AwPEXfLsj82/+fwv5\n1+8+l6V/fSNf+r238s9veRG3nv0K7nr/K7nr/a/k5tOfx/ffdSL//vDlfPKNx/CeX382v/Piw3jJ\nkQfxrCUL2X/9IyVoPeus0cebYz/33Vd20PnOd77znT+98yVJUk+KdnfM0U4HH3lwtnuQ881bhnhs\nwxwe3TCXx6t/1z0xm5Ftg0/lmTVjKwftu5HF+25g2YHr+Mgrz2xrGSRJ3RER12Tmim6Xo5cNLdk/\n5532qzulT0cb17OOP6vj25AkTa9W6+badc7UTiPbgvseWchDj+/Do+vn8tiGuWwanvnU/Nkzt7Jo\n3pMsX/owC/bZXD5zNzNvzhZvzEuSJElSTeyVgeuTw0Ncu3opP7lvf0a2DRKxnX3nPcmS/dez7/xN\n7Df/Sfadv4k5s0a6XVRJkiRJ0hT2usD1wcfm8e1rn8HwliEOP/gRDj/4EQ5a9ARDg9unXliSJEmS\nVDt7TeCaCbfcfRBX3XIIc2dv4ZUvuon9FjzZ7WJJkiRJkvbQXhO4XnPbMm64cwlLD3icX37eHcya\nuW3qhSRJkiRJtdfzgWsm/Gj1Um64cwnLlz3Ei599lx0rSZIkSdJepC3juHbTtasP5rqfHMwzlz7E\niwxaJUmSJGmv09NPXNc8tJAf/2Qpz1z6EL/wHINWSZIkSdob9ewT10z40e1LWTB3My886qcGrZIk\nSZK0l+rZwPXxjbN5ZP0+POvpDzI0mN0ujiRJkiSpQ3o2cF37+HwAlh20rsslkSRJkiR1Us8Grus2\nzmZocBvz5wx3uyiSJEmSpA7q2cB1w6ZZzJszbNtWSZIkSdrL9WTgunVkgLWPz2O/BZu6XRRJkiRJ\nUof1ZOD6458czPDWGTzrkIe6XRRJkiRJUoe1LXCNiJMj4taIWB0RZ44z/4CI+HpE/DgiboyIN+/O\ndoa3DnLzTw/i8CWPcNC+G/e84JIkSZKkWmtL4BoRg8DHgJcDRwGvjYijmrKdAfw4M38OOB74UETM\n3NVt3XbPgWzbPshRhz6wh6WWJEmSJPWCdj1xPRZYnZl3ZOYW4GJgZVOeB4D5ERHAPOBRYGRXNrI9\n4ea7F7Nkv/UcsND2rZIkSZLUD9oVuC4F7mn4vqZKa3Qe5WnsfcD1wB9n5vZd2ciDj85n0+aZLLdt\nqyRJkiT1jensnOldwHXAwcDzgX+MiAXNmSJiVURcHRFXb1o39qnq3Q/uy8DAdg458PFpKbAkSZIk\nqfvaFbjeCxzS8H1ZldboF4AvZrEauBN4VvOKMvPczFyRmSvmLpzbkA4/fXBflh2wjhlDu/SgVpIk\nSZLUw9oVuF4FLI+Iw6oOl04FLmnKcwtwIkBELAaOBO5odQPrnpjNpuGZLPNpqyRJkiT1laF2rCQz\nRyLiDOAyYBA4PzNvjIjTq/nnAH8DfDoirqMEzO/MzIdb3cZDj88DYPF+G9pRZEmSJElSj2hL4AqQ\nmZcClzalndMw/RDwyt1d/6Pr5zI0uI0Fc4d3v5CSJEmSpJ4znZ0z7ZFHN8xh0bwnieh2SSRJkiRJ\n06lnAtd1T5TAVZIkSZLUX3oicH1i8ww2b5nBvvMNXCVJkiSp3/RE4Pro+jIszgELn+hySSRJkiRJ\n0603AtcNJXDdd/6mLpdEkiRJkjTdeiJwfXzjHPaZPczMoe3dLookSZIkaZr1ROC6cdMs5jsMjiRJ\nkiT1pZ4IXJ8Ynsk+s7d0uxiSJO2WiHhut8sgSVIvq33gmgmbh4eYO2trt4siSdLu+nhEXBkRb42I\nha0sEBHnR8TaiLihIW2/iPhmRNxe/btvw7x3RcTqiLg1In61If0FEXF9Ne+jEWVE9IiYFRH/UqX/\nICIObd/uSpLUXrUPXIe3DrI9B5ht4CpJ6lGZ+UvA64FDgGsi4nMRcdIUi10AnNyUdibwrcxcDnyr\n+k5EHAWcCjy7WubjETFYLfMJ4C3A8uozus7TgMcy85nAh4H37/YOSpLUYbUPXLeMDAEwc2ikyyWR\nJGn3ZebtwHuAdwIvAT4aEbdExG9OkP+7wKNNySuBC6vpC4FTGtIvzszhzLwTWA0cGxFLgAWZeUVm\nJnBR0zKj6/oScOLo01hJkuqm9oHr5uESuM6ZZeAqSepNEfG8iPgwcDPwK8CvZ+bPVtMf3oVVLc7M\n+6vpB4DF1fRS4J6GfGuqtKXVdHP6mGUycwRYB+y/C2WRJGnaDHW7AFPZvHUGALNnGrhKknrWPwCf\nAt6dmU+OJmbmfRHxnt1ZYWZmRGS7CjiZiFgFrAKIBXOnY5OSJI1R+8B1eEtpojNrhm1cJUk969eA\nJzNzG0BEDACzM3NTZn5mF9bzYEQsycz7q9eA11bp91Laz45aVqXdW003pzcusyYihoCFwCPjbTQz\nzwXOBRhasv+0BMuSJDWq/avCw9UT11k+cZUk9a7LgTkN3+dWabvqEuBN1fSbgH9vSD+16in4MEon\nTFdWrxWvj4gXVu1X39i0zOi6Xg38Z9UOVpKk2mlb4BoRJ1dd8K+OiDMnyHN8RFwbETdGxHdaWe/w\n1kEikhmD29tVVEmSptvszNw4+qWanvSd24j4PPB94MiIWBMRpwHvA06KiNuBl1bfycwbgS8ANwFf\nB942+nQXeCvlNeXVwE+Ar1Xp/wTsHxGrgT+l6qFYkqQ6asurwlWX+x8DTqJ0/HBVRFySmTc15FkE\nfBw4OTPvjoiDWln35i0zmDVjBPs5lCT1sCci4ujM/CGUsVWBJydbIDNfO8GsEyfIfzZw9jjpVwPP\nGSd9M/CaKcotSVIttKuN67HA6sy8AyAiLqZ0s39TQ57XAV/OzLsBMnPtTmsZx5atg8yc4WvCkqSe\n9g7gixFxHxDA04Df7m6RJEnqHe0KXMfrhv+4pjxHADMi4tvAfODvM/OiqVY8vHXIHoUlST0tM6+K\niGcBR1ZJt2amvQ5KktSi6exVeAh4AeUVpznA9yPiisy8rTFTY5f7CxcvZOvIILNnWrdLknreMcCh\nlPrw6IiglRu4kiSpfYHrRN3wN1oDPJKZT1Da+nwX+DlgTODa2OX+wUcenFu2DrJgn81tKqYkSdMv\nIj4DPAO4FhjtNCkBA1dJklrQrsD1KmB51QX/vcCplDatjf4d+MdqrLiZlFeJPzzVike2DzBjcNtU\n2SRJqrMVwFEONyNJ0u5pS+CamSMRcQZwGTAInJ+ZN0bE6dX8czLz5oj4OnAdsB34VGbeMNW6R0YG\nGXQoHElSb7uB0iHT/d0uiCRJvahtbVwz81Lg0qa0c5q+fxD44K6sd+u2QWYO+cRVktTTDgBuiogr\ngeHRxMz8je4VSZKk3jGdnTPtstH3qXziKknqcWd1uwCSJPWyWgeuZAAwOGCTIElS78rM70TEzwDL\nM/PyiJhLaVojSZJaMNDtAkxmtAsLO2eSJPWyiHgL8CXgk1XSUuDfulciSZJ6S70DV6onrr4qLEnq\nbW8DfgFYD5CZtwMHdbVEkiT1kFoHrqN8VViS1OOGM3PL6JdqaDgrN0mSWlTrwHX0VeGBsG6XJPW0\n70TEu4E5EXES8EXg/3S5TJIk9YxaB66jBnziKknqbWcCDwHXA39AGT7uPV0tkSRJPaTWvQpn1avw\nkG1cJUk9LDO3A+dVH0mStItqHbiOGhgwcJUk9a6IuJNx2rRm5uFdKI4kST2n1oHraA1vG1dJUo9b\n0TA9G3gNsF+XyiJJUs+pdxvX6lVhA1dJUi/LzEcaPvdm5keAX+t2uSRJ6hW1fuI6KgxcJUk9LCKO\nbvg6QHkC2xN1sCRJdVDrSnM0XHUcV0lSj/tQw/QIcBfwW90piiRJvafegWsVrw4NbetuQSRJ2gOZ\neUK3yyBJUi+rdeAKpY3roK8KS5J6WET86WTzM/PvpqsskiT1orZ1zhQRJ0fErRGxOiLOnCTfMREx\nEhGvnmqdo09cB3xVWJLU21YAfwgsrT6nA0cD86uPJEmaRFu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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f82f3e1fa90>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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ffJMhQ4a0+femrq6uxX+PIqXj+r1S6nAiohR4AvhlSuk7+X0vAVUppc0RcQqQ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\nD4wpxvep9ftQr68a5O8g4Nlan3dPeHVh7oaUjf8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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f83160a92d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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kSZIkScNYt70K793L8EuBS/u1RJIkSZIktRn0zpm6YVNhSZIkSVJLIwNXmwpL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\nuldEPMAIbVoz85gOZEeSpK5T68B1uIS3jaskqcstaZieDrw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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f83071cec50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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zzzyTY489loULF3LUUUexbt06Jk2axNlnn83y5cv3uP7vnH/++dx0003MnTuX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\nRERERERERKQT/w/YJ35YYnHNhgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f8300df0350>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Plot each EAS-induced latency (blue cross)\n",
+ "# If the background is red, system was over-utilized and the latency wasn't caused by EAS\n",
+ "for start, latency in eas_latencies:\n",
+ " trace.setXTimeRange(start - 0.002, start + 0.002)\n",
+ " trace.analysis.latency.plotLatency(task=glrunner[\"pid\"], tag=str(start))\n",
+ " trace.analysis.cpus.plotCPU(cpus=[2,3])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "## Overall latencies"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "This plot displays the whole duration of the experiment, it can be used to see how often the system was overutilized or how much latency was involved."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-07 12:06:51,029 INFO : Analysis : Found: 2517 WAKEUP latencies\n",
+ "2017-03-07 12:06:51,069 INFO : Analysis : Found: 15435 PREEMPT latencies\n",
+ "2017-03-07 12:06:51,071 INFO : Analysis : Total: 17952 latency events\n",
+ "2017-03-07 12:06:51,075 INFO : Analysis : 97.2 % samples below 1 [ms] threshold\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>latency</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>count</th>\n",
+ " <td>17952.000000</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>mean</th>\n",
+ " <td>0.000142</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>std</th>\n",
+ " <td>0.000341</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>min</th>\n",
+ " <td>0.000002</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>50%</th>\n",
+ " <td>0.000048</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>95%</th>\n",
+ " <td>0.000589</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>99%</th>\n",
+ " <td>0.001422</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>max</th>\n",
+ " <td>0.012042</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>97.2%</th>\n",
+ " <td>0.001000</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " latency\n",
+ "count 17952.000000\n",
+ "mean 0.000142\n",
+ "std 0.000341\n",
+ "min 0.000002\n",
+ "50% 0.000048\n",
+ "95% 0.000589\n",
+ "99% 0.001422\n",
+ "max 0.012042\n",
+ "97.2% 0.001000"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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su8M8obEukJNM9Hkovg+90ihpBQ7miuMy3z1eiv3oWwu0b7J9sdrvPL0OAXF2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nd1q09qcUH/H626Rit4GX6ibYnwRxkfpflmKgRGW2G8v/7cvD7cQqE+j2FbcZIhXAFMymq5g9N/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7C+kDlvpn6tBtkhE/xtvEtfuYg1P1O0Sd2k+kAhGpNyTffj4OXBdM4iJViQ/miOtx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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f8302d3b590>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Plots all of the latencies over the duration of the experiment\n",
+ "trace.setXTimeRange(trace.window[0] + 1, trace.window[1])\n",
+ "trace.analysis.latency.plotLatency(task=glrunner[\"pid\"])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "deletable": true,
+ "editable": true
+ },
+ "source": [
+ "# Kernelshark analysis"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false,
+ "deletable": true,
+ "editable": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "version = 6\r\n"
+ ]
+ }
+ ],
+ "source": [
+ "!kernelshark {trace_file} 2>/dev/null"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ },
+ "toc": {
+ "toc_cell": false,
+ "toc_number_sections": true,
+ "toc_threshold": 6,
+ "toc_window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/ipynb/examples/android/workloads/Android_Recents_Fling.ipynb b/ipynb/examples/android/workloads/Android_Recents_Fling.ipynb
new file mode 100644
index 0000000..97dbf7b
--- /dev/null
+++ b/ipynb/examples/android/workloads/Android_Recents_Fling.ipynb
@@ -0,0 +1,750 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# EAS Testing - Recents Fling on Android"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The goal of this experiment is to collect frame statistics while swiping up and down tabs of recently opened applications on a Pixel device running Android with an EAS kernel. This process is name **Recents Fling**. The Analysis phase will consist in comparing EAS with other schedulers, that is comparing *sched* governor with:\n",
+ "\n",
+ " - interactive\n",
+ " - performance\n",
+ " - powersave\n",
+ " - ondemand\n",
+ " \n",
+ "For this experiment it is recommended to open many applications so that we can swipe over more recently opened applications."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-12-09 14:58:45,902 INFO : root : Using LISA logging configuration:\n",
+ "2016-12-09 14:58:45,902 INFO : root : /home/vagrant/lisa/logging.conf\n"
+ ]
+ }
+ ],
+ "source": [
+ "import logging\n",
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Populating the interactive namespace from numpy and matplotlib\n"
+ ]
+ }
+ ],
+ "source": [
+ "%pylab inline\n",
+ "\n",
+ "import os\n",
+ "from time import sleep\n",
+ "\n",
+ "# Support to access the remote target\n",
+ "import devlib\n",
+ "from env import TestEnv\n",
+ "\n",
+ "# Import support for Android devices\n",
+ "from android import Screen, Workload\n",
+ "\n",
+ "from devlib.utils.android import adb_command\n",
+ "\n",
+ "# Support for trace events analysis\n",
+ "from trace import Trace\n",
+ "\n",
+ "# Suport for FTrace events parsing and visualization\n",
+ "import trappy"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Test environment setup\n",
+ "For more details on this please check out **examples/utils/testenv_example.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**devlib** requires the ANDROID_HOME environment variable configured to point to your local installation of the Android SDK. If you have not this variable configured in the shell used to start the notebook server, you need to run a cell to define where your Android SDK is installed or specify the ANDROID_HOME in your target configuration.\n",
+ "\n",
+ "In case more than one Android device are conencted to the host, you must specify the ID of the device you want to target in **my_target_conf**. Run **adb devices** on your host to get the ID."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import os\n",
+ "os.environ['ANDROID_HOME'] = '/ext/android-sdk-linux/'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In case more than one Android device are conencted to the host, you must specify the ID of the device you want to target in `my_target_conf`. Run `adb devices` on your host to get the ID."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Setup a target configuration\n",
+ "my_conf = {\n",
+ " \n",
+ " # Target platform and board\n",
+ " \"platform\" : 'android',\n",
+ " \"board\" : 'pixel',\n",
+ "\n",
+ " # Device ID\n",
+ " \"device\" : \"HT6670300102\",\n",
+ " \n",
+ " # Android home\n",
+ " \"ANDROID_HOME\" : \"/home/vagrant/lisa/tools/android-sdk-linux\",\n",
+ "\n",
+ " # Folder where all the results will be collected\n",
+ " \"results_dir\" : \"Android_RecentsFling\",\n",
+ " \n",
+ " # Define devlib modules to load\n",
+ " \"modules\" : [\n",
+ " 'cpufreq' # enable CPUFreq support\n",
+ " ],\n",
+ "\n",
+ " # FTrace events to collect for all the tests configuration which have\n",
+ " # the \"ftrace\" flag enabled\n",
+ " \"ftrace\" : {\n",
+ " \"events\" : [\n",
+ " \"sched_switch\",\n",
+ " \"sched_load_avg_cpu\",\n",
+ " \"cpu_frequency\",\n",
+ " \"cpu_capacity\"\n",
+ " ],\n",
+ " \"buffsize\" : 10 * 1024,\n",
+ " },\n",
+ "\n",
+ " # Tools required by the experiments\n",
+ " \"tools\" : [ 'trace-cmd' ],\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-12-09 14:58:50,762 INFO : TestEnv : Using base path: /home/vagrant/lisa\n",
+ "2016-12-09 14:58:50,763 INFO : TestEnv : Loading custom (inline) target configuration\n",
+ "2016-12-09 14:58:50,764 INFO : TestEnv : External tools using:\n",
+ "2016-12-09 14:58:50,765 INFO : TestEnv : ANDROID_HOME: /home/vagrant/lisa/tools/android-sdk-linux\n",
+ "2016-12-09 14:58:50,766 INFO : TestEnv : CATAPULT_HOME: /home/vagrant/lisa/tools/catapult\n",
+ "2016-12-09 14:58:50,767 INFO : TestEnv : Loading board:\n",
+ "2016-12-09 14:58:50,767 INFO : TestEnv : /home/vagrant/lisa/libs/utils/platforms/pixel.json\n",
+ "2016-12-09 14:58:50,768 INFO : TestEnv : Devlib modules to load: [u'bl', u'cpufreq']\n",
+ "2016-12-09 14:58:50,768 INFO : TestEnv : Connecting Android target [HT6670300102]\n",
+ "2016-12-09 14:58:50,769 INFO : TestEnv : Connection settings:\n",
+ "2016-12-09 14:58:50,769 INFO : TestEnv : {'device': 'HT6670300102'}\n",
+ "2016-12-09 14:58:50,855 INFO : android : ls command is set to ls -1\n",
+ "2016-12-09 14:58:51,610 INFO : TestEnv : Initializing target workdir:\n",
+ "2016-12-09 14:58:51,613 INFO : TestEnv : /data/local/tmp/devlib-target\n",
+ "2016-12-09 14:58:54,009 INFO : TestEnv : Topology:\n",
+ "2016-12-09 14:58:54,012 INFO : TestEnv : [[0, 1], [2, 3]]\n",
+ "2016-12-09 14:58:54,279 INFO : TestEnv : Loading default EM:\n",
+ "2016-12-09 14:58:54,282 INFO : TestEnv : /home/vagrant/lisa/libs/utils/platforms/pixel.json\n",
+ "2016-12-09 14:58:55,219 INFO : TestEnv : Enabled tracepoints:\n",
+ "2016-12-09 14:58:55,220 INFO : TestEnv : sched_switch\n",
+ "2016-12-09 14:58:55,221 INFO : TestEnv : sched_load_avg_cpu\n",
+ "2016-12-09 14:58:55,221 INFO : TestEnv : cpu_frequency\n",
+ "2016-12-09 14:58:55,222 INFO : TestEnv : cpu_capacity\n",
+ "2016-12-09 14:58:55,222 WARNING : TestEnv : Wipe previous contents of the results folder:\n",
+ "2016-12-09 14:58:55,223 WARNING : TestEnv : /home/vagrant/lisa/results/Android_RecentsFling\n",
+ "2016-12-09 14:58:55,291 INFO : TestEnv : Set results folder to:\n",
+ "2016-12-09 14:58:55,291 INFO : TestEnv : /home/vagrant/lisa/results/Android_RecentsFling\n",
+ "2016-12-09 14:58:55,292 INFO : TestEnv : Experiment results available also in:\n",
+ "2016-12-09 14:58:55,292 INFO : TestEnv : /home/vagrant/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "te = TestEnv(my_conf)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Support Functions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This set of support functions will help us running the benchmark using different CPUFreq governors."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def set_performance():\n",
+ " target.cpufreq.set_all_governors('performance')\n",
+ "\n",
+ "def set_powersave():\n",
+ " target.cpufreq.set_all_governors('powersave')\n",
+ "\n",
+ "def set_interactive():\n",
+ " target.cpufreq.set_all_governors('interactive')\n",
+ "\n",
+ "def set_sched():\n",
+ " target.cpufreq.set_all_governors('sched')\n",
+ "\n",
+ "def set_ondemand():\n",
+ " target.cpufreq.set_all_governors('ondemand')\n",
+ " \n",
+ " for cpu in target.list_online_cpus():\n",
+ " tunables = target.cpufreq.get_governor_tunables(cpu)\n",
+ " target.cpufreq.set_governor_tunables(\n",
+ " cpu,\n",
+ " 'ondemand',\n",
+ " **{'sampling_rate' : tunables['sampling_rate_min']}\n",
+ " )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# CPUFreq configurations to test\n",
+ "confs = {\n",
+ " 'performance' : {\n",
+ " 'label' : 'prf',\n",
+ " 'set' : set_performance,\n",
+ " },\n",
+ " 'powersave' : {\n",
+ " 'label' : 'pws',\n",
+ " 'set' : set_powersave,\n",
+ " },\n",
+ " 'interactive' : {\n",
+ " 'label' : 'int',\n",
+ " 'set' : set_interactive,\n",
+ " },\n",
+ " 'sched' : {\n",
+ " 'label' : 'sch',\n",
+ " 'set' : set_sched,\n",
+ " },\n",
+ " 'ondemand' : {\n",
+ " 'label' : 'odm',\n",
+ " 'set' : set_ondemand,\n",
+ " }\n",
+ "}\n",
+ "\n",
+ "# The set of results for each comparison test\n",
+ "results = {}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def open_apps(n):\n",
+ " \"\"\"\n",
+ " Open `n` apps on the device\n",
+ " \n",
+ " :param n: number of apps to open\n",
+ " :type n: int\n",
+ " \"\"\"\n",
+ " # Get a list of third-party packages\n",
+ " android_version = target.getprop('ro.build.version.release')\n",
+ " if android_version >= 'N':\n",
+ " packages = target.execute('cmd package list packages | cut -d: -f 2')\n",
+ " packages = packages.splitlines()\n",
+ " else:\n",
+ " packages = target.execute('pm list packages -3 | cut -d: -f 2')\n",
+ " packages = packages.splitlines()\n",
+ "\n",
+ " # As a safe fallback let's use a list of standard Android AOSP apps which are always available\n",
+ " if len(packages) < 8:\n",
+ " packages = [\n",
+ " 'com.android.messaging',\n",
+ " 'com.android.calendar',\n",
+ " 'com.android.settings',\n",
+ " 'com.android.calculator2',\n",
+ " 'com.android.email',\n",
+ " 'com.android.music',\n",
+ " 'com.android.deskclock',\n",
+ " 'com.android.contacts',\n",
+ " ]\n",
+ " \n",
+ " LAUNCH_CMD = 'monkey -p {} -c android.intent.category.LAUNCHER 1 '\n",
+ " \n",
+ " if n > len(packages):\n",
+ " n = len(packages)\n",
+ " \n",
+ " logging.info('Trying to open %d apps...', n)\n",
+ " started = 0\n",
+ " for app in packages:\n",
+ " logging.debug(' Launching %s', app)\n",
+ " try:\n",
+ " target.execute(LAUNCH_CMD.format(app))\n",
+ " started = started + 1\n",
+ " logging.info(' %2d starting %s...', started, app)\n",
+ " except Exception:\n",
+ " pass\n",
+ " if started >= n:\n",
+ " break\n",
+ " \n",
+ " # Close Recents\n",
+ " target.execute('input keyevent KEYCODE_HOME')\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def recentsfling_run(exp_dir):\n",
+ " # Unlock device screen (assume no password required)\n",
+ " target.execute('input keyevent 82')\n",
+ "\n",
+ " # Configure screen to max brightness and no dimming\n",
+ " Screen.set_brightness(target, percent=100)\n",
+ " Screen.set_dim(target, auto=False)\n",
+ " Screen.set_timeout(target, 60*60*10) # 10 hours should be enought for an experiment\n",
+ "\n",
+ " # Open Recents on the target device\n",
+ " target.execute('input keyevent KEYCODE_APP_SWITCH')\n",
+ " # Allow the activity to start\n",
+ " sleep(5)\n",
+ " # Reset framestats collection\n",
+ " target.execute('dumpsys gfxinfo --reset')\n",
+ " \n",
+ " w, h = target.screen_resolution\n",
+ " x = w/2\n",
+ " yl = int(0.2*h)\n",
+ " yh = int(0.9*h)\n",
+ " \n",
+ " logging.info('Start Swiping Recents')\n",
+ " for i in range(5):\n",
+ " # Simulate two fast UP and DOWN swipes\n",
+ " target.execute('input swipe {} {} {} {} 50'.format(x, yl, x, yh))\n",
+ " sleep(0.3)\n",
+ " target.execute('input swipe {} {} {} {} 50'.format(x, yh, x, yl))\n",
+ " sleep(0.7)\n",
+ " logging.info('Swiping Recents Completed')\n",
+ " \n",
+ " # Reset screen brightness and auto dimming\n",
+ " Screen.set_defaults(target)\n",
+ "\n",
+ " # Get frame stats\n",
+ " framestats_file = os.path.join(exp_dir, \"framestats.txt\")\n",
+ " adb_command(target.adb_name, 'shell dumpsys gfxinfo com.android.systemui > {}'.format(framestats_file))\n",
+ " \n",
+ " # Close Recents\n",
+ " target.execute('input keyevent KEYCODE_HOME')\n",
+ "\n",
+ " return framestats_file"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def experiment(governor, exp_dir):\n",
+ " os.system('mkdir -p {}'.format(exp_dir));\n",
+ "\n",
+ " logging.info('------------------------')\n",
+ " logging.info('Run workload using %s governor', governor)\n",
+ " confs[governor]['set']()\n",
+ " \n",
+ " # Start FTrace\n",
+ " te.ftrace.start()\n",
+ " \n",
+ " ### Run the benchmark ###\n",
+ " framestats_file = recentsfling_run(exp_dir)\n",
+ " \n",
+ " # Stop FTrace\n",
+ " te.ftrace.stop() \n",
+ "\n",
+ " # Collect and keep track of the trace\n",
+ " trace_file = os.path.join(exp_dir, 'trace.dat')\n",
+ " te.ftrace.get_trace(trace_file)\n",
+ " \n",
+ " # Parse trace\n",
+ " tr = Trace(te.platform, exp_dir,\n",
+ " events=my_conf['ftrace']['events'])\n",
+ " \n",
+ " # return all the experiment data\n",
+ " return {\n",
+ " 'dir' : exp_dir,\n",
+ " 'framestats_file' : framestats_file,\n",
+ " 'trace_file' : trace_file,\n",
+ " 'ftrace' : tr.ftrace,\n",
+ " 'trace' : tr\n",
+ " }"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Run Flinger"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Prepare Environment"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "N_APPS = 20"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-12-09 14:59:08,075 INFO : root : Trying to open 8 apps...\n",
+ "2016-12-09 14:59:09,677 INFO : root : 1 starting com.android.settings...\n"
+ ]
+ }
+ ],
+ "source": [
+ "open_apps(N_APPS)\n",
+ "\n",
+ "# Give apps enough time to open\n",
+ "sleep(5)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Run workload and collect traces"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2016-12-09 14:59:18,399 INFO : root : ------------------------\n",
+ "2016-12-09 14:59:18,402 INFO : root : Run workload using performance governor\n",
+ "2016-12-09 14:59:20,895 INFO : Screen : Set brightness: 100%\n",
+ "2016-12-09 14:59:21,308 INFO : Screen : Dim screen mode: OFF\n",
+ "2016-12-09 14:59:21,782 INFO : Screen : Screen timeout: 36000 [s]\n",
+ "2016-12-09 14:59:27,693 INFO : root : Start Swiping Recents\n",
+ "2016-12-09 14:59:37,783 INFO : root : Swiping Recents Completed\n",
+ "2016-12-09 14:59:37,784 INFO : Screen : Set orientation: AUTO\n",
+ "2016-12-09 14:59:39,042 INFO : Screen : Set brightness: AUTO\n",
+ "2016-12-09 14:59:39,496 INFO : Screen : Dim screen mode: ON\n",
+ "2016-12-09 14:59:39,932 INFO : Screen : Screen timeout: 30 [s]\n",
+ "2016-12-09 14:59:45,387 INFO : Trace : Parsing FTrace format...\n",
+ "2016-12-09 14:59:53,031 INFO : Trace : Collected events spans a 21.305 [s] time interval\n",
+ "2016-12-09 14:59:53,031 INFO : Trace : Set plots time range to (0.000000, 21.305402)[s]\n",
+ "2016-12-09 14:59:53,032 INFO : Analysis : Registering trace analysis modules:\n",
+ "2016-12-09 14:59:53,033 INFO : Analysis : tasks\n",
+ "2016-12-09 14:59:53,034 INFO : Analysis : status\n",
+ "2016-12-09 14:59:53,034 INFO : Analysis : frequency\n",
+ "2016-12-09 14:59:53,035 INFO : Analysis : cpus\n",
+ "2016-12-09 14:59:53,036 INFO : Analysis : latency\n",
+ "2016-12-09 14:59:53,037 INFO : Analysis : idle\n",
+ "2016-12-09 14:59:53,038 INFO : Analysis : functions\n",
+ "2016-12-09 14:59:53,038 INFO : Analysis : eas\n",
+ "2016-12-09 14:59:53,051 INFO : root : ------------------------\n",
+ "2016-12-09 14:59:53,052 INFO : root : Run workload using sched governor\n",
+ "2016-12-09 14:59:56,256 INFO : Screen : Set brightness: 100%\n",
+ "2016-12-09 14:59:56,708 INFO : Screen : Dim screen mode: OFF\n",
+ "2016-12-09 14:59:57,303 INFO : Screen : Screen timeout: 36000 [s]\n",
+ "2016-12-09 15:00:03,345 INFO : root : Start Swiping Recents\n",
+ "2016-12-09 15:00:13,864 INFO : root : Swiping Recents Completed\n",
+ "2016-12-09 15:00:13,865 INFO : Screen : Set orientation: AUTO\n",
+ "2016-12-09 15:00:15,221 INFO : Screen : Set brightness: AUTO\n",
+ "2016-12-09 15:00:15,718 INFO : Screen : Dim screen mode: ON\n",
+ "2016-12-09 15:00:16,189 INFO : Screen : Screen timeout: 30 [s]\n",
+ "2016-12-09 15:00:27,259 INFO : Trace : Parsing FTrace format...\n",
+ "2016-12-09 15:00:35,017 INFO : Trace : Platform clusters verified to be Frequency coherent\n",
+ "2016-12-09 15:00:38,715 INFO : Trace : Collected events spans a 22.739 [s] time interval\n",
+ "2016-12-09 15:00:38,715 INFO : Trace : Set plots time range to (0.000000, 22.739051)[s]\n",
+ "2016-12-09 15:00:38,716 INFO : Analysis : Registering trace analysis modules:\n",
+ "2016-12-09 15:00:38,716 INFO : Analysis : tasks\n",
+ "2016-12-09 15:00:38,717 INFO : Analysis : status\n",
+ "2016-12-09 15:00:38,717 INFO : Analysis : frequency\n",
+ "2016-12-09 15:00:38,718 INFO : Analysis : cpus\n",
+ "2016-12-09 15:00:38,719 INFO : Analysis : latency\n",
+ "2016-12-09 15:00:38,719 INFO : Analysis : idle\n",
+ "2016-12-09 15:00:38,720 INFO : Analysis : functions\n",
+ "2016-12-09 15:00:38,720 INFO : Analysis : eas\n",
+ "2016-12-09 15:00:38,735 INFO : root : ------------------------\n",
+ "2016-12-09 15:00:38,736 INFO : root : Run workload using powersave governor\n",
+ "2016-12-09 15:00:49,017 INFO : Screen : Set brightness: 100%\n",
+ "2016-12-09 15:00:51,668 INFO : Screen : Dim screen mode: OFF\n",
+ "2016-12-09 15:00:54,328 INFO : Screen : Screen timeout: 36000 [s]\n",
+ "2016-12-09 15:01:03,584 INFO : root : Start Swiping Recents\n",
+ "2016-12-09 15:01:37,809 INFO : root : Swiping Recents Completed\n",
+ "2016-12-09 15:01:37,812 INFO : Screen : Set orientation: AUTO\n",
+ "2016-12-09 15:01:46,394 INFO : Screen : Set brightness: AUTO\n",
+ "2016-12-09 15:01:48,971 INFO : Screen : Dim screen mode: ON\n",
+ "2016-12-09 15:01:51,561 INFO : Screen : Screen timeout: 30 [s]\n",
+ "2016-12-09 15:02:17,487 INFO : Trace : Parsing FTrace format...\n",
+ "2016-12-09 15:02:33,993 INFO : Trace : Collected events spans a 75.655 [s] time interval\n",
+ "2016-12-09 15:02:33,994 INFO : Trace : Set plots time range to (0.000000, 75.654834)[s]\n",
+ "2016-12-09 15:02:33,994 INFO : Analysis : Registering trace analysis modules:\n",
+ "2016-12-09 15:02:33,995 INFO : Analysis : tasks\n",
+ "2016-12-09 15:02:33,996 INFO : Analysis : status\n",
+ "2016-12-09 15:02:33,996 INFO : Analysis : frequency\n",
+ "2016-12-09 15:02:33,997 INFO : Analysis : cpus\n",
+ "2016-12-09 15:02:33,997 INFO : Analysis : latency\n",
+ "2016-12-09 15:02:33,998 INFO : Analysis : idle\n",
+ "2016-12-09 15:02:33,998 INFO : Analysis : functions\n",
+ "2016-12-09 15:02:33,999 INFO : Analysis : eas\n",
+ "2016-12-09 15:02:34,022 INFO : root : ------------------------\n",
+ "2016-12-09 15:02:34,023 INFO : root : Run workload using ondemand governor\n",
+ "2016-12-09 15:02:41,668 INFO : Screen : Set brightness: 100%\n",
+ "2016-12-09 15:02:42,139 INFO : Screen : Dim screen mode: OFF\n",
+ "2016-12-09 15:02:42,656 INFO : Screen : Screen timeout: 36000 [s]\n",
+ "2016-12-09 15:02:48,429 INFO : root : Start Swiping Recents\n",
+ "2016-12-09 15:02:59,047 INFO : root : Swiping Recents Completed\n",
+ "2016-12-09 15:02:59,050 INFO : Screen : Set orientation: AUTO\n",
+ "2016-12-09 15:03:00,468 INFO : Screen : Set brightness: AUTO\n",
+ "2016-12-09 15:03:00,966 INFO : Screen : Dim screen mode: ON\n",
+ "2016-12-09 15:03:01,444 INFO : Screen : Screen timeout: 30 [s]\n",
+ "2016-12-09 15:03:12,685 INFO : Trace : Parsing FTrace format...\n",
+ "2016-12-09 15:03:21,734 INFO : Trace : Platform clusters verified to be Frequency coherent\n",
+ "2016-12-09 15:03:26,708 INFO : Trace : Collected events spans a 22.503 [s] time interval\n",
+ "2016-12-09 15:03:26,708 INFO : Trace : Set plots time range to (0.000000, 22.502716)[s]\n",
+ "2016-12-09 15:03:26,709 INFO : Analysis : Registering trace analysis modules:\n",
+ "2016-12-09 15:03:26,710 INFO : Analysis : tasks\n",
+ "2016-12-09 15:03:26,710 INFO : Analysis : status\n",
+ "2016-12-09 15:03:26,711 INFO : Analysis : frequency\n",
+ "2016-12-09 15:03:26,711 INFO : Analysis : cpus\n",
+ "2016-12-09 15:03:26,712 INFO : Analysis : latency\n",
+ "2016-12-09 15:03:26,712 INFO : Analysis : idle\n",
+ "2016-12-09 15:03:26,713 INFO : Analysis : functions\n",
+ "2016-12-09 15:03:26,713 INFO : Analysis : eas\n",
+ "2016-12-09 15:03:26,730 INFO : root : ------------------------\n",
+ "2016-12-09 15:03:26,731 INFO : root : Run workload using interactive governor\n",
+ "2016-12-09 15:03:29,716 INFO : Screen : Set brightness: 100%\n",
+ "2016-12-09 15:03:30,177 INFO : Screen : Dim screen mode: OFF\n",
+ "2016-12-09 15:03:30,645 INFO : Screen : Screen timeout: 36000 [s]\n",
+ "2016-12-09 15:03:36,422 INFO : root : Start Swiping Recents\n",
+ "2016-12-09 15:03:46,719 INFO : root : Swiping Recents Completed\n",
+ "2016-12-09 15:03:46,721 INFO : Screen : Set orientation: AUTO\n",
+ "2016-12-09 15:03:48,071 INFO : Screen : Set brightness: AUTO\n",
+ "2016-12-09 15:03:48,532 INFO : Screen : Dim screen mode: ON\n",
+ "2016-12-09 15:03:48,991 INFO : Screen : Screen timeout: 30 [s]\n",
+ "2016-12-09 15:03:55,795 INFO : Trace : Parsing FTrace format...\n",
+ "2016-12-09 15:04:06,933 INFO : Trace : Collected events spans a 21.791 [s] time interval\n",
+ "2016-12-09 15:04:06,934 INFO : Trace : Set plots time range to (0.000000, 21.791161)[s]\n",
+ "2016-12-09 15:04:06,934 INFO : Analysis : Registering trace analysis modules:\n",
+ "2016-12-09 15:04:06,935 INFO : Analysis : tasks\n",
+ "2016-12-09 15:04:06,936 INFO : Analysis : status\n",
+ "2016-12-09 15:04:06,936 INFO : Analysis : frequency\n",
+ "2016-12-09 15:04:06,937 INFO : Analysis : cpus\n",
+ "2016-12-09 15:04:06,938 INFO : Analysis : latency\n",
+ "2016-12-09 15:04:06,938 INFO : Analysis : idle\n",
+ "2016-12-09 15:04:06,939 INFO : Analysis : functions\n",
+ "2016-12-09 15:04:06,939 INFO : Analysis : eas\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Unlock device screen (assume no password required)\n",
+ "target.execute('input keyevent 82')\n",
+ "\n",
+ "# Run the benchmark in all the configured governors\n",
+ "for governor in confs:\n",
+ " test_dir = os.path.join(te.res_dir, governor)\n",
+ " results[governor] = experiment(governor, test_dir)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "collapsed": false
+ },
+ "source": [
+ "## UI Performance Analysis"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Frame Statistics for PERFORMANCE governor\n",
+ "Stats since: 22107824648ns\n",
+ "Total frames rendered: 10844\n",
+ "Janky frames: 550 (5.07%)\n",
+ "50th percentile: 6ms\n",
+ "90th percentile: 11ms\n",
+ "95th percentile: 16ms\n",
+ "99th percentile: 61ms\n",
+ "\n",
+ "Frame Statistics for SCHED governor\n",
+ "Stats since: 22107824648ns\n",
+ "Total frames rendered: 11367\n",
+ "Janky frames: 555 (4.88%)\n",
+ "50th percentile: 6ms\n",
+ "90th percentile: 10ms\n",
+ "95th percentile: 16ms\n",
+ "99th percentile: 61ms\n",
+ "\n",
+ "Frame Statistics for POWERSAVE governor\n",
+ "Stats since: 22107824648ns\n",
+ "Total frames rendered: 11500\n",
+ "Janky frames: 645 (5.61%)\n",
+ "50th percentile: 6ms\n",
+ "90th percentile: 11ms\n",
+ "95th percentile: 18ms\n",
+ "99th percentile: 61ms\n",
+ "\n",
+ "Frame Statistics for ONDEMAND governor\n",
+ "Stats since: 22107824648ns\n",
+ "Total frames rendered: 11660\n",
+ "Janky frames: 661 (5.67%)\n",
+ "50th percentile: 6ms\n",
+ "90th percentile: 11ms\n",
+ "95th percentile: 18ms\n",
+ "99th percentile: 61ms\n",
+ "\n",
+ "Frame Statistics for INTERACTIVE governor\n",
+ "Stats since: 22107824648ns\n",
+ "Total frames rendered: 12174\n",
+ "Janky frames: 661 (5.43%)\n",
+ "50th percentile: 6ms\n",
+ "90th percentile: 11ms\n",
+ "95th percentile: 17ms\n",
+ "99th percentile: 61ms\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "for governor in confs:\n",
+ " framestats_file = results[governor]['framestats_file']\n",
+ " print \"Frame Statistics for {} governor\".format(governor.upper())\n",
+ " !sed '/Stats since/,/99th/!d;/99th/q' $framestats_file\n",
+ " print \"\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ },
+ "toc": {
+ "toc_cell": false,
+ "toc_number_sections": true,
+ "toc_threshold": 6,
+ "toc_window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/ipynb/examples/android/workloads/Android_Workloads.ipynb b/ipynb/examples/android/workloads/Android_Workloads.ipynb
new file mode 100644
index 0000000..964adb5
--- /dev/null
+++ b/ipynb/examples/android/workloads/Android_Workloads.ipynb
@@ -0,0 +1,708 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Android Multiple Workloads - complex example\n",
+ "\n",
+ "This complex example shows multiple workloads being executed in multiple configurations.\n",
+ "\n",
+ "Please check the notebooks in **examples/android/benchmarks/** and **examples/android/workloads/** to get more details on each of the possible workloads and how you can visualise their results."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-14 11:05:03,363 INFO : root : Using LISA logging configuration:\n",
+ "2017-03-14 11:05:03,364 INFO : root : /home/vagrant/lisa/logging.conf\n"
+ ]
+ }
+ ],
+ "source": [
+ "import logging\n",
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Populating the interactive namespace from numpy and matplotlib\n"
+ ]
+ }
+ ],
+ "source": [
+ "%pylab inline\n",
+ "\n",
+ "import collections\n",
+ "import copy\n",
+ "import json\n",
+ "import os\n",
+ "from time import sleep\n",
+ "\n",
+ "# Support to access the remote target\n",
+ "import devlib\n",
+ "from env import TestEnv\n",
+ "\n",
+ "# Import support for Android devices\n",
+ "from android import Screen, Workload, System\n",
+ "\n",
+ "# Support for trace events analysis\n",
+ "from trace import Trace\n",
+ "\n",
+ "# Suport for FTrace events parsing and visualization\n",
+ "import trappy\n",
+ "\n",
+ "import datetime"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Support Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def set_performance():\n",
+ " target.cpufreq.set_all_governors('performance')\n",
+ "\n",
+ "def set_powersave():\n",
+ " target.cpufreq.set_all_governors('powersave')\n",
+ "\n",
+ "def set_interactive():\n",
+ " target.cpufreq.set_all_governors('interactive')\n",
+ "\n",
+ "def set_sched():\n",
+ " target.cpufreq.set_all_governors('sched')\n",
+ "\n",
+ "def set_ondemand():\n",
+ " target.cpufreq.set_all_governors('ondemand')\n",
+ " \n",
+ " for cpu in target.list_online_cpus():\n",
+ " tunables = target.cpufreq.get_governor_tunables(cpu)\n",
+ " target.cpufreq.set_governor_tunables(\n",
+ " cpu,\n",
+ " 'ondemand',\n",
+ " **{'sampling_rate' : tunables['sampling_rate_min']}\n",
+ " )"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def experiment(wl, res_dir, conf_name, wload_name, collect=''):\n",
+ " \n",
+ " ##################################\n",
+ " # Initial setup\n",
+ "\n",
+ " # Load workload params\n",
+ " wload_kind = wload_name.split()[0]\n",
+ " iterations = int(wload_name.split()[1])\n",
+ " wload_tag = wload_name.split()[2]\\\n",
+ " .replace('https://youtu.be/', '')\\\n",
+ " .replace('?t=', '_')\n",
+ " \n",
+ " # Check for workload being available\n",
+ " wload = Workload.getInstance(te, wload_kind)\n",
+ " if not wload:\n",
+ " return {}\n",
+ " \n",
+ " # Setup test results folder\n",
+ " exp_dir = os.path.join(res_dir, conf_name, \"{}_{}\".format(wload_kind, wload_tag))\n",
+ " os.system('mkdir -p {}'.format(exp_dir));\n",
+ "\n",
+ " # Configure governor\n",
+ " confs[conf_name]['set']() \n",
+ " \n",
+ " ###########################\n",
+ " # Run the required workload\n",
+ " \n",
+ " # Jankbench\n",
+ " if 'Jankbench' in wload_name:\n",
+ " wload.run(exp_dir, wload_tag, iterations, collect)\n",
+ "\n",
+ " # UiBench\n",
+ " elif 'UiBench' in wload_name:\n",
+ " test_name = wload_name.split()[2]\n",
+ " duration_s = int(wload_name.split()[3])\n",
+ " wload.run(exp_dir, test_name, duration_s, collect)\n",
+ "\n",
+ " # YouTube\n",
+ " elif 'YouTube' in wload_name:\n",
+ " video_url = wload_name.split()[2]\n",
+ " video_duration_s = int(wload_name.split()[3])\n",
+ " wload.run(exp_dir, video_url, video_duration_s, collect)\n",
+ "\n",
+ " # RTApp based workloads\n",
+ " elif 'RTApp' in wload_name:\n",
+ " rtapp_kind = wload_name.replace('RTApp ', '')\n",
+ " rtapp_run(rtapp_kind)\n",
+ " \n",
+ " # Dump platform descriptor\n",
+ " te.platform_dump(exp_dir)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def run_experiments(test_confs, wloads, confs, verbose=False):\n",
+ "\n",
+ " # Make sure we have a list of configuraitons to test\n",
+ " if not isinstance(test_confs, list):\n",
+ " test_confs = [test_confs]\n",
+ "\n",
+ " # Intialize Workloads for this test environment\n",
+ " wl = Workload(te)\n",
+ "\n",
+ " # Change to info once the notebook runs ok\n",
+ " if verbose:\n",
+ " LisaLogging.setup(level=logging.DEBUG)\n",
+ " else:\n",
+ " LisaLogging.setup(level=logging.INFO)\n",
+ "\n",
+ " # Run the benchmark in all the configured configurations\n",
+ " for conf_name in test_confs:\n",
+ "\n",
+ " # Setup data to be collected\n",
+ " try:\n",
+ " collect = confs[conf_name]['collect']\n",
+ " logging.info(\"Enabling collection of: %s\", collect)\n",
+ " except:\n",
+ " collect = ''\n",
+ "\n",
+ " # Enable energy collection only if an emeter has been configured\n",
+ " if 'energy' in collect:\n",
+ " if 'emeter' not in my_conf or not te.emeter:\n",
+ " logging.warning('Disabling ENERGY collection')\n",
+ " logging.info('EMeter not configured or not available')\n",
+ " collect = collect.replace('energy', '')\n",
+ " else:\n",
+ " logging.debug('Enabling ENERGY collection')\n",
+ "\n",
+ " # Run each workload\n",
+ " idx = 0\n",
+ " for wload_name in wloads:\n",
+ " \n",
+ " # Skip workload if not enabled by the configuration\n",
+ " try:\n",
+ " enabled = False\n",
+ " enabled_workloads = confs[conf_name]['wloads']\n",
+ " for wload in enabled_workloads:\n",
+ " if wload in wload_name:\n",
+ " enabled = True\n",
+ " break\n",
+ " if not enabled:\n",
+ " logging.debug('Workload [%s] disabled',\n",
+ " wload_name)\n",
+ " continue\n",
+ " except:\n",
+ " # No workload filters defined, execute all workloads\n",
+ " logging.debug('All workloads enabled')\n",
+ " pass\n",
+ "\n",
+ " # Log test being executed\n",
+ " idx = idx + 1\n",
+ " wload_kind = wload_name.split()[0]\n",
+ " logging.info('------------------------')\n",
+ " logging.info('Test %d: %s in %s configuration',\n",
+ " idx, wload_kind.upper(), conf_name.upper())\n",
+ " logging.info(' %s', wload_name)\n",
+ " \n",
+ " experiment(wl, te.res_dir, conf_name, wload_name, collect)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Test environment setup\n",
+ "For more details on this please check out **examples/utils/testenv_example.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**devlib** requires the ANDROID_HOME environment variable configured to point to your local installation of the Android SDK. If you have not this variable configured in the shell used to start the notebook server, you need to run a cell to define where your Android SDK is installed or specify the ANDROID_HOME in your target configuration."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In case more than one Android device are conencted to the host, you must specify the ID of the device you want to target in **my_target_conf**. Run **adb devices** on your host to get the ID."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Setup target configuration\n",
+ "my_conf = {\n",
+ "\n",
+ " # Target platform and board\n",
+ " \"platform\" : 'android',\n",
+ " \"device\" : \"FA6A10306347\",\n",
+ " \"ANDROID_HOME\" : '/home/vagrant/lisa/tools/android-sdk-linux/',\n",
+ "\n",
+ " # Folder where all the results will be collected\n",
+ " \"results_dir\" : \"Android_Multiple_Workloads\",\n",
+ "\n",
+ " # Define devlib modules to load\n",
+ " \"modules\" : [\n",
+ " 'cpufreq' # enable CPUFreq support\n",
+ " ],\n",
+ "\n",
+ " # FTrace events to collect for all the tests configuration which have\n",
+ " # the \"ftrace\" flag enabled\n",
+ " \"ftrace\" : {\n",
+ " \"events\" : [\n",
+ " \"sched_switch\",\n",
+ " \"sched_overutilized\",\n",
+ " \"sched_contrib_scale_f\",\n",
+ " \"sched_load_avg_cpu\",\n",
+ " \"sched_load_avg_task\",\n",
+ " \"sched_tune_tasks_update\",\n",
+ " \"sched_boost_cpu\",\n",
+ " \"sched_boost_task\",\n",
+ " \"sched_energy_diff\",\n",
+ " \"cpu_frequency\",\n",
+ " \"cpu_idle\",\n",
+ " \"cpu_capacity\",\n",
+ " ],\n",
+ " \"buffsize\" : 10 * 1024,\n",
+ " },\n",
+ "\n",
+ " # Tools required by the experiments\n",
+ " \"tools\" : [ 'trace-cmd' ],\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# List of possible workloads to run, each workload consists of a workload name\n",
+ "# followed by a list of workload specific parameters\n",
+ "test_wloads = [\n",
+ "# YouTube workload:\n",
+ "# Params:\n",
+ "# - iterations: number of read/write operations to execute\n",
+ "# - URL: link to the video to use (with optional start time)\n",
+ "# - duration: playback time in [s]\n",
+ " 'YouTube 1 https://youtu.be/XSGBVzeBUbk?t=45s 60',\n",
+ "\n",
+ "# Jankbench workload:\n",
+ "# Params:\n",
+ "# - iterations: number of read/write operations to execute\n",
+ "# - id: benchmakr to run\n",
+ " 'Jankbench 1 list_view',\n",
+ " 'Jankbench 1 image_list_view',\n",
+ " 'Jankbench 1 shadow_grid',\n",
+ " 'Jankbench 1 low_hitrate_text',\n",
+ " 'Jankbench 1 high_hitrate_text',\n",
+ " 'Jankbench 1 edit_text',\n",
+ " \n",
+ " # Multi iterations\n",
+ " 'Jankbench 3 list_view',\n",
+ " 'Jankbench 3 image_list_view',\n",
+ " 'Jankbench 3 shadow_grid',\n",
+ " 'Jankbench 3 low_hitrate_text',\n",
+ " 'Jankbench 3 high_hitrate_text',\n",
+ " 'Jankbench 3 edit_text',\n",
+ "\n",
+ "# UiBench workload:\n",
+ "# Params:\n",
+ "# - test_name: The name of the test to start\n",
+ "# - duration: playback time in [s]\n",
+ " 'UiBench 1 TrivialAnimationActivity 10',\n",
+ "\n",
+ "# RT-App workload:\n",
+ "# Params:\n",
+ "# - configration: tasks configuration to run\n",
+ "# - [configuration specific parameters]\n",
+ " 'RTApp STAccount 6',\n",
+ " 'RTApp RAMP',\n",
+ "]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Available test configurations\n",
+ "# 'set' : a setup function to be called before starting the test\n",
+ "# 'collect' defines what we want to collect as a list of strings.\n",
+ "# Supported values are\n",
+ "# energy - Use the my_conf's defined emeter to measure energy consumption across experiments\n",
+ "# ftrace - Collect an execution trace using trace-cmd\n",
+ "# systrace - Collect an execution trace using Systrace/Atrace\n",
+ "# NOTE: energy is automatically enabled in case an \"emeter\" configuration is defined in my_conf\n",
+ "\n",
+ "confs = {\n",
+ " 'j_std' : {\n",
+ " 'set' : set_interactive,\n",
+ " 'wloads' : ['Jankbench 1 list_view'],\n",
+ " 'collect' : 'ftrace',\n",
+ " },\n",
+ " 'j_eas' : {\n",
+ " 'set' : set_sched,\n",
+ " 'wloads' : ['Jankbench 1 list_view'],\n",
+ " 'collect' : 'ftrace',\n",
+ " },\n",
+ " 'y_std' : {\n",
+ " 'set' : set_interactive,\n",
+ " 'wloads' : ['YouTube 1 https://youtu.be/XSGBVzeBUbk?t=45s'],\n",
+ " 'collect' : 'ftrace',\n",
+ " },\n",
+ " 'u_eas' : {\n",
+ " 'set' : set_sched,\n",
+ " 'wloads' : ['UiBench 1 TrivialAnimationActivity'],\n",
+ " 'collect' : 'systrace',\n",
+ " }\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "# List of experiments to run\n",
+ "experiments = ['j_std', 'j_eas', 'y_std', 'u_eas']"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-14 11:05:12,767 INFO : TestEnv : Using base path: /home/vagrant/lisa\n",
+ "2017-03-14 11:05:12,767 INFO : TestEnv : Loading custom (inline) target configuration\n",
+ "2017-03-14 11:05:12,768 INFO : TestEnv : External tools using:\n",
+ "2017-03-14 11:05:12,769 INFO : TestEnv : ANDROID_HOME: /home/vagrant/lisa/tools/android-sdk-linux/\n",
+ "2017-03-14 11:05:12,769 INFO : TestEnv : CATAPULT_HOME: /home/vagrant/lisa/tools/catapult\n",
+ "2017-03-14 11:05:12,770 INFO : TestEnv : Devlib modules to load: ['cpufreq']\n",
+ "2017-03-14 11:05:12,770 INFO : TestEnv : Connecting Android target [FA6A10306347]\n",
+ "2017-03-14 11:05:12,770 INFO : TestEnv : Connection settings:\n",
+ "2017-03-14 11:05:12,771 INFO : TestEnv : {'device': 'FA6A10306347'}\n",
+ "2017-03-14 11:05:12,914 INFO : android : ls command is set to ls -1\n",
+ "2017-03-14 11:05:13,430 INFO : TestEnv : Initializing target workdir:\n",
+ "2017-03-14 11:05:13,431 INFO : TestEnv : /data/local/tmp/devlib-target\n",
+ "2017-03-14 11:05:14,701 INFO : TestEnv : Topology:\n",
+ "2017-03-14 11:05:14,702 INFO : TestEnv : [[0, 1], [2, 3]]\n",
+ "2017-03-14 11:05:15,291 INFO : TestEnv : Enabled tracepoints:\n",
+ "2017-03-14 11:05:15,292 INFO : TestEnv : sched_switch\n",
+ "2017-03-14 11:05:15,292 INFO : TestEnv : sched_overutilized\n",
+ "2017-03-14 11:05:15,293 INFO : TestEnv : sched_contrib_scale_f\n",
+ "2017-03-14 11:05:15,293 INFO : TestEnv : sched_load_avg_cpu\n",
+ "2017-03-14 11:05:15,294 INFO : TestEnv : sched_load_avg_task\n",
+ "2017-03-14 11:05:15,294 INFO : TestEnv : sched_tune_tasks_update\n",
+ "2017-03-14 11:05:15,295 INFO : TestEnv : sched_boost_cpu\n",
+ "2017-03-14 11:05:15,295 INFO : TestEnv : sched_boost_task\n",
+ "2017-03-14 11:05:15,295 INFO : TestEnv : sched_energy_diff\n",
+ "2017-03-14 11:05:15,296 INFO : TestEnv : cpu_frequency\n",
+ "2017-03-14 11:05:15,296 INFO : TestEnv : cpu_idle\n",
+ "2017-03-14 11:05:15,297 INFO : TestEnv : cpu_capacity\n",
+ "2017-03-14 11:05:15,297 INFO : TestEnv : Set results folder to:\n",
+ "2017-03-14 11:05:15,298 INFO : TestEnv : /home/vagrant/lisa/results/Android_Multiple_Workloads\n",
+ "2017-03-14 11:05:15,298 INFO : TestEnv : Experiment results available also in:\n",
+ "2017-03-14 11:05:15,299 INFO : TestEnv : /home/vagrant/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "te = TestEnv(my_conf, wipe=False)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Workloads Execution and Data Collection"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-14 11:05:17,641 INFO : root : Using LISA logging configuration:\n",
+ "2017-03-14 11:05:17,642 INFO : root : /home/vagrant/lisa/logging.conf\n",
+ "2017-03-14 11:05:17,642 INFO : root : Enabling collection of: ftrace\n",
+ "2017-03-14 11:05:17,643 DEBUG : root : Workload [YouTube 1 https://youtu.be/XSGBVzeBUbk?t=45s 60] disabled\n",
+ "2017-03-14 11:05:17,643 INFO : root : ------------------------\n",
+ "2017-03-14 11:05:17,644 INFO : root : Test 1: JANKBENCH in J_STD configuration\n",
+ "2017-03-14 11:05:17,645 INFO : root : Jankbench 1 list_view\n",
+ "2017-03-14 11:05:18,248 INFO : Workload : Supported workloads available on target:\n",
+ "2017-03-14 11:05:18,249 INFO : Workload : jankbench, youtube, geekbench, uibench, gmaps, vellamo\n",
+ "2017-03-14 11:05:18,250 DEBUG : Jankbench : Workload created\n",
+ "2017-03-14 11:05:22,760 INFO : Screen : Set brightness: 0%\n",
+ "2017-03-14 11:05:22,761 INFO : Screen : Force manual orientation\n",
+ "2017-03-14 11:05:22,763 INFO : Screen : Set orientation: PORTRAIT\n",
+ "2017-03-14 11:05:23,610 DEBUG : Jankbench : Start Jank Benchmark [0:list_view]\n",
+ "2017-03-14 11:05:23,610 INFO : Jankbench : am start -n \"com.android.benchmark/.app.RunLocalBenchmarksActivity\" --eia \"com.android.benchmark.EXTRA_ENABLED_BENCHMARK_IDS\" 0 --ei \"com.android.benchmark.EXTRA_RUN_COUNT\" 1\n",
+ "2017-03-14 11:05:23,992 INFO : Jankbench : adb -s FA6A10306347 logcat ActivityManager:* System.out:I *:S BENCH:*\n",
+ "2017-03-14 11:05:23,994 DEBUG : Jankbench : Iterations:\n",
+ "2017-03-14 11:05:24,047 INFO : Jankbench : FTrace START\n",
+ "2017-03-14 11:05:25,177 DEBUG : Jankbench : Benchmark started!\n",
+ "2017-03-14 11:05:25,178 DEBUG : Jankbench : Iteration 1:\n",
+ "2017-03-14 11:05:58,847 INFO : Jankbench : Mean: 27.681 JankP: 0.061 StdDev: 23.413 Count Bad: 3 Count Jank: 1\n",
+ "2017-03-14 11:05:59,890 DEBUG : Jankbench : Benchmark done!\n",
+ "2017-03-14 11:06:00,002 INFO : Jankbench : FTrace STOP\n",
+ "2017-03-14 11:06:04,833 INFO : Screen : Set orientation: AUTO\n",
+ "2017-03-14 11:06:06,981 INFO : Screen : Set brightness: AUTO\n",
+ "2017-03-14 11:06:06,982 DEBUG : root : Workload [Jankbench 1 image_list_view] disabled\n",
+ "2017-03-14 11:06:06,983 DEBUG : root : Workload [Jankbench 1 shadow_grid] disabled\n",
+ "2017-03-14 11:06:06,983 DEBUG : root : Workload [Jankbench 1 low_hitrate_text] disabled\n",
+ "2017-03-14 11:06:06,984 DEBUG : root : Workload [Jankbench 1 high_hitrate_text] disabled\n",
+ "2017-03-14 11:06:06,984 DEBUG : root : Workload [Jankbench 1 edit_text] disabled\n",
+ "2017-03-14 11:06:06,984 DEBUG : root : Workload [Jankbench 3 list_view] disabled\n",
+ "2017-03-14 11:06:06,985 DEBUG : root : Workload [Jankbench 3 image_list_view] disabled\n",
+ "2017-03-14 11:06:06,985 DEBUG : root : Workload [Jankbench 3 shadow_grid] disabled\n",
+ "2017-03-14 11:06:06,986 DEBUG : root : Workload [Jankbench 3 low_hitrate_text] disabled\n",
+ "2017-03-14 11:06:06,986 DEBUG : root : Workload [Jankbench 3 high_hitrate_text] disabled\n",
+ "2017-03-14 11:06:06,987 DEBUG : root : Workload [Jankbench 3 edit_text] disabled\n",
+ "2017-03-14 11:06:06,987 DEBUG : root : Workload [UiBench 1 TrivialAnimationActivity 10] disabled\n",
+ "2017-03-14 11:06:06,987 DEBUG : root : Workload [RTApp STAccount 6] disabled\n",
+ "2017-03-14 11:06:06,988 DEBUG : root : Workload [RTApp RAMP] disabled\n",
+ "2017-03-14 11:06:06,988 INFO : root : Enabling collection of: ftrace\n",
+ "2017-03-14 11:06:06,989 DEBUG : root : Workload [YouTube 1 https://youtu.be/XSGBVzeBUbk?t=45s 60] disabled\n",
+ "2017-03-14 11:06:06,989 INFO : root : ------------------------\n",
+ "2017-03-14 11:06:06,989 INFO : root : Test 1: JANKBENCH in J_EAS configuration\n",
+ "2017-03-14 11:06:06,990 INFO : root : Jankbench 1 list_view\n",
+ "2017-03-14 11:06:06,990 DEBUG : Jankbench : Workload created\n",
+ "2017-03-14 11:06:10,964 INFO : Screen : Set brightness: 0%\n",
+ "2017-03-14 11:06:10,966 INFO : Screen : Force manual orientation\n",
+ "2017-03-14 11:06:10,966 INFO : Screen : Set orientation: PORTRAIT\n",
+ "2017-03-14 11:06:11,776 DEBUG : Jankbench : Start Jank Benchmark [0:list_view]\n",
+ "2017-03-14 11:06:11,777 INFO : Jankbench : am start -n \"com.android.benchmark/.app.RunLocalBenchmarksActivity\" --eia \"com.android.benchmark.EXTRA_ENABLED_BENCHMARK_IDS\" 0 --ei \"com.android.benchmark.EXTRA_RUN_COUNT\" 1\n",
+ "2017-03-14 11:06:12,241 INFO : Jankbench : adb -s FA6A10306347 logcat ActivityManager:* System.out:I *:S BENCH:*\n",
+ "2017-03-14 11:06:12,242 DEBUG : Jankbench : Iterations:\n",
+ "2017-03-14 11:06:12,305 INFO : Jankbench : FTrace START\n",
+ "2017-03-14 11:06:13,552 DEBUG : Jankbench : Benchmark started!\n",
+ "2017-03-14 11:06:13,553 DEBUG : Jankbench : Iteration 1:\n",
+ "2017-03-14 11:06:47,377 INFO : Jankbench : Mean: 38.852 JankP: 0.061 StdDev: 40.832 Count Bad: 3 Count Jank: 1\n",
+ "2017-03-14 11:06:48,464 DEBUG : Jankbench : Benchmark done!\n",
+ "2017-03-14 11:06:48,645 INFO : Jankbench : FTrace STOP\n",
+ "2017-03-14 11:06:54,096 INFO : Screen : Set orientation: AUTO\n",
+ "2017-03-14 11:06:57,305 INFO : Screen : Set brightness: AUTO\n",
+ "2017-03-14 11:06:57,306 DEBUG : root : Workload [Jankbench 1 image_list_view] disabled\n",
+ "2017-03-14 11:06:57,307 DEBUG : root : Workload [Jankbench 1 shadow_grid] disabled\n",
+ "2017-03-14 11:06:57,307 DEBUG : root : Workload [Jankbench 1 low_hitrate_text] disabled\n",
+ "2017-03-14 11:06:57,308 DEBUG : root : Workload [Jankbench 1 high_hitrate_text] disabled\n",
+ "2017-03-14 11:06:57,308 DEBUG : root : Workload [Jankbench 1 edit_text] disabled\n",
+ "2017-03-14 11:06:57,309 DEBUG : root : Workload [Jankbench 3 list_view] disabled\n",
+ "2017-03-14 11:06:57,309 DEBUG : root : Workload [Jankbench 3 image_list_view] disabled\n",
+ "2017-03-14 11:06:57,309 DEBUG : root : Workload [Jankbench 3 shadow_grid] disabled\n",
+ "2017-03-14 11:06:57,310 DEBUG : root : Workload [Jankbench 3 low_hitrate_text] disabled\n",
+ "2017-03-14 11:06:57,310 DEBUG : root : Workload [Jankbench 3 high_hitrate_text] disabled\n",
+ "2017-03-14 11:06:57,311 DEBUG : root : Workload [Jankbench 3 edit_text] disabled\n",
+ "2017-03-14 11:06:57,311 DEBUG : root : Workload [UiBench 1 TrivialAnimationActivity 10] disabled\n",
+ "2017-03-14 11:06:57,312 DEBUG : root : Workload [RTApp STAccount 6] disabled\n",
+ "2017-03-14 11:06:57,312 DEBUG : root : Workload [RTApp RAMP] disabled\n",
+ "2017-03-14 11:06:57,313 INFO : root : Enabling collection of: ftrace\n",
+ "2017-03-14 11:06:57,313 INFO : root : ------------------------\n",
+ "2017-03-14 11:06:57,313 INFO : root : Test 1: YOUTUBE in Y_STD configuration\n",
+ "2017-03-14 11:06:57,314 INFO : root : YouTube 1 https://youtu.be/XSGBVzeBUbk?t=45s 60\n",
+ "2017-03-14 11:06:57,315 DEBUG : YouTube : Workload created\n",
+ "2017-03-14 11:06:58,842 INFO : Screen : Force manual orientation\n",
+ "2017-03-14 11:06:58,843 INFO : Screen : Set orientation: LANDSCAPE\n",
+ "2017-03-14 11:07:00,540 INFO : Screen : Set brightness: 0%\n",
+ "2017-03-14 11:07:03,003 INFO : YouTube : FTrace START\n",
+ "2017-03-14 11:07:05,037 INFO : YouTube : Play video for 60 [s]\n",
+ "2017-03-14 11:08:05,226 INFO : YouTube : FTrace STOP\n",
+ "2017-03-14 11:08:09,174 INFO : Screen : Set orientation: AUTO\n",
+ "2017-03-14 11:08:10,336 INFO : Screen : Set brightness: AUTO\n",
+ "2017-03-14 11:08:10,337 DEBUG : root : Workload [Jankbench 1 list_view] disabled\n",
+ "2017-03-14 11:08:10,338 DEBUG : root : Workload [Jankbench 1 image_list_view] disabled\n",
+ "2017-03-14 11:08:10,338 DEBUG : root : Workload [Jankbench 1 shadow_grid] disabled\n",
+ "2017-03-14 11:08:10,338 DEBUG : root : Workload [Jankbench 1 low_hitrate_text] disabled\n",
+ "2017-03-14 11:08:10,339 DEBUG : root : Workload [Jankbench 1 high_hitrate_text] disabled\n",
+ "2017-03-14 11:08:10,339 DEBUG : root : Workload [Jankbench 1 edit_text] disabled\n",
+ "2017-03-14 11:08:10,340 DEBUG : root : Workload [Jankbench 3 list_view] disabled\n",
+ "2017-03-14 11:08:10,340 DEBUG : root : Workload [Jankbench 3 image_list_view] disabled\n",
+ "2017-03-14 11:08:10,340 DEBUG : root : Workload [Jankbench 3 shadow_grid] disabled\n",
+ "2017-03-14 11:08:10,341 DEBUG : root : Workload [Jankbench 3 low_hitrate_text] disabled\n",
+ "2017-03-14 11:08:10,341 DEBUG : root : Workload [Jankbench 3 high_hitrate_text] disabled\n",
+ "2017-03-14 11:08:10,342 DEBUG : root : Workload [Jankbench 3 edit_text] disabled\n",
+ "2017-03-14 11:08:10,342 DEBUG : root : Workload [UiBench 1 TrivialAnimationActivity 10] disabled\n",
+ "2017-03-14 11:08:10,342 DEBUG : root : Workload [RTApp STAccount 6] disabled\n",
+ "2017-03-14 11:08:10,343 DEBUG : root : Workload [RTApp RAMP] disabled\n",
+ "2017-03-14 11:08:10,343 INFO : root : Enabling collection of: systrace\n",
+ "2017-03-14 11:08:10,344 DEBUG : root : Workload [YouTube 1 https://youtu.be/XSGBVzeBUbk?t=45s 60] disabled\n",
+ "2017-03-14 11:08:10,344 DEBUG : root : Workload [Jankbench 1 list_view] disabled\n",
+ "2017-03-14 11:08:10,345 DEBUG : root : Workload [Jankbench 1 image_list_view] disabled\n",
+ "2017-03-14 11:08:10,345 DEBUG : root : Workload [Jankbench 1 shadow_grid] disabled\n",
+ "2017-03-14 11:08:10,345 DEBUG : root : Workload [Jankbench 1 low_hitrate_text] disabled\n",
+ "2017-03-14 11:08:10,346 DEBUG : root : Workload [Jankbench 1 high_hitrate_text] disabled\n",
+ "2017-03-14 11:08:10,346 DEBUG : root : Workload [Jankbench 1 edit_text] disabled\n",
+ "2017-03-14 11:08:10,346 DEBUG : root : Workload [Jankbench 3 list_view] disabled\n",
+ "2017-03-14 11:08:10,347 DEBUG : root : Workload [Jankbench 3 image_list_view] disabled\n",
+ "2017-03-14 11:08:10,347 DEBUG : root : Workload [Jankbench 3 shadow_grid] disabled\n",
+ "2017-03-14 11:08:10,348 DEBUG : root : Workload [Jankbench 3 low_hitrate_text] disabled\n",
+ "2017-03-14 11:08:10,348 DEBUG : root : Workload [Jankbench 3 high_hitrate_text] disabled\n",
+ "2017-03-14 11:08:10,349 DEBUG : root : Workload [Jankbench 3 edit_text] disabled\n",
+ "2017-03-14 11:08:10,349 INFO : root : ------------------------\n",
+ "2017-03-14 11:08:10,349 INFO : root : Test 1: UIBENCH in U_EAS configuration\n",
+ "2017-03-14 11:08:10,350 INFO : root : UiBench 1 TrivialAnimationActivity 10\n",
+ "2017-03-14 11:08:10,350 DEBUG : UiBench : Workload created\n",
+ "2017-03-14 11:08:15,709 INFO : Screen : Set brightness: 0%\n",
+ "2017-03-14 11:08:16,376 INFO : Screen : Force manual orientation\n",
+ "2017-03-14 11:08:16,376 INFO : Screen : Set orientation: PORTRAIT\n",
+ "2017-03-14 11:08:18,614 DEBUG : UiBench : START string [ActivityManager: START.*cmp=com.android.test.uibench/.TrivialAnimationActivity]\n",
+ "2017-03-14 11:08:18,615 INFO : UiBench : adb -s FA6A10306347 logcat ActivityManager:* System.out:I *:S BENCH:*\n",
+ "2017-03-14 11:08:19,125 WARNING : UiBench : Systrace time NOT defined, tracing for 10[s]\n",
+ "2017-03-14 11:08:19,126 INFO : UiBench : Systrace START\n",
+ "2017-03-14 11:08:19,126 INFO : System : SysTrace: /home/vagrant/lisa/tools/catapult/systrace/systrace/run_systrace.py -e FA6A10306347 -o /home/vagrant/lisa/results/Android_Multiple_Workloads/u_eas/UiBench_TrivialAnimationActivity/trace.html gfx view sched freq idle -t 10\n",
+ "2017-03-14 11:08:19,132 DEBUG : UiBench : Benchmark started!\n",
+ "2017-03-14 11:08:19,133 INFO : UiBench : Benchmark [.TrivialAnimationActivity] started, waiting 10 [s]\n",
+ "2017-03-14 11:08:29,140 DEBUG : UiBench : Benchmark done!\n",
+ "2017-03-14 11:08:29,141 INFO : UiBench : Waiting systrace report [/home/vagrant/lisa/results/Android_Multiple_Workloads/u_eas/UiBench_TrivialAnimationActivity/trace.html]...\n",
+ "2017-03-14 11:08:37,315 INFO : Screen : Set orientation: AUTO\n",
+ "2017-03-14 11:08:39,617 INFO : Screen : Set brightness: AUTO\n",
+ "2017-03-14 11:08:39,718 DEBUG : root : Workload [RTApp STAccount 6] disabled\n",
+ "2017-03-14 11:08:39,719 DEBUG : root : Workload [RTApp RAMP] disabled\n"
+ ]
+ }
+ ],
+ "source": [
+ "run_experiments(experiments, test_wloads, confs, True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "/home/vagrant/lisa/results/Android_Multiple_Workloads\r\n",
+ "├── j_eas\r\n",
+ "│ └── Jankbench_list_view\r\n",
+ "│ ├── BenchmarkResults\r\n",
+ "│ ├── platform.json\r\n",
+ "│ └── trace.dat\r\n",
+ "├── j_std\r\n",
+ "│ └── Jankbench_list_view\r\n",
+ "│ ├── BenchmarkResults\r\n",
+ "│ ├── platform.json\r\n",
+ "│ └── trace.dat\r\n",
+ "├── u_eas\r\n",
+ "│ └── UiBench_TrivialAnimationActivity\r\n",
+ "│ ├── framestats.txt\r\n",
+ "│ ├── platform.json\r\n",
+ "│ └── trace.html\r\n",
+ "└── y_std\r\n",
+ " └── YouTube_XSGBVzeBUbk_45s\r\n",
+ " ├── framestats.txt\r\n",
+ " ├── platform.json\r\n",
+ " └── trace.dat\r\n",
+ "\r\n",
+ "8 directories, 12 files\r\n"
+ ]
+ }
+ ],
+ "source": [
+ "!tree {te.res_dir}"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ },
+ "toc": {
+ "toc_cell": false,
+ "toc_number_sections": true,
+ "toc_threshold": 6,
+ "toc_window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/ipynb/examples/android/workloads/Android_YouTube.ipynb b/ipynb/examples/android/workloads/Android_YouTube.ipynb
new file mode 100644
index 0000000..7c745c0
--- /dev/null
+++ b/ipynb/examples/android/workloads/Android_YouTube.ipynb
@@ -0,0 +1,531 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# YouTube on Android\n",
+ "\n",
+ "The goal of this experiment is to run Youtube videos on a Pixel device running Android and collect results."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:02:24,343 INFO : root : Using LISA logging configuration:\n",
+ "2017-03-06 12:02:24,344 INFO : root : /home/vagrant/lisa/logging.conf\n"
+ ]
+ }
+ ],
+ "source": [
+ "from conf import LisaLogging\n",
+ "LisaLogging.setup()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Populating the interactive namespace from numpy and matplotlib\n"
+ ]
+ }
+ ],
+ "source": [
+ "%pylab inline\n",
+ "\n",
+ "import json\n",
+ "import os\n",
+ "\n",
+ "# Support to access the remote target\n",
+ "import devlib\n",
+ "from env import TestEnv\n",
+ "\n",
+ "# Import support for Android devices\n",
+ "from android import System, Screen, Workload\n",
+ "\n",
+ "# Support for trace events analysis\n",
+ "from trace import Trace\n",
+ "\n",
+ "# Suport for FTrace events parsing and visualization\n",
+ "import trappy\n",
+ "\n",
+ "import pandas as pd\n",
+ "import sqlite3"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Support Functions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This function helps us run our experiments:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def experiment():\n",
+ " \n",
+ " # Configure governor\n",
+ " target.cpufreq.set_all_governors('sched')\n",
+ "\n",
+ " # Get workload\n",
+ " wload = Workload(te).getInstance(te, 'YouTube')\n",
+ " \n",
+ " # Run Youtube workload\n",
+ " wload.run(te.res_dir, 'https://youtu.be/XSGBVzeBUbk?t=45s',\n",
+ " video_duration_s=60, collect='ftrace')\n",
+ "\n",
+ " # Dump platform descriptor\n",
+ " te.platform_dump(te.res_dir)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Test environment setup\n",
+ "For more details on this please check out **examples/utils/testenv_example.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**devlib** requires the ANDROID_HOME environment variable configured to point to your local installation of the Android SDK. If you have not this variable configured in the shell used to start the notebook server, you need to run a cell to define where your Android SDK is installed or specify the ANDROID_HOME in your target configuration."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In case more than one Android device are conencted to the host, you must specify the ID of the device you want to target in **my_target_conf**. Run **adb devices** on your host to get the ID."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Setup target configuration\n",
+ "my_conf = {\n",
+ " # Target platform and board\n",
+ " \"platform\" : 'android',\n",
+ " \"board\" : 'pixel',\n",
+ " \n",
+ " # Device\n",
+ " \"device\" : \"FA6A10306347\",\n",
+ " \n",
+ " # Android home\n",
+ " \"ANDROID_HOME\" : \"/home/vagrant/lisa/tools/android-sdk-linux/\",\n",
+ "\n",
+ " # Folder where all the results will be collected\n",
+ " \"results_dir\" : \"Youtube_example\",\n",
+ "\n",
+ " # Define devlib modules to load\n",
+ " \"modules\" : [\n",
+ " 'cpufreq' # enable CPUFreq support\n",
+ " ],\n",
+ "\n",
+ " # FTrace events to collect for all the tests configuration which have\n",
+ " # the \"ftrace\" flag enabled\n",
+ " \"ftrace\" : {\n",
+ " \"events\" : [\n",
+ " \"sched_switch\",\n",
+ " \"sched_wakeup\",\n",
+ " \"sched_wakeup_new\",\n",
+ " \"sched_overutilized\",\n",
+ " \"sched_load_avg_cpu\",\n",
+ " \"sched_load_avg_task\",\n",
+ " \"cpu_capacity\",\n",
+ " \"cpu_frequency\",\n",
+ " ],\n",
+ " \"buffsize\" : 100 * 1024,\n",
+ " },\n",
+ "\n",
+ " # Tools required by the experiments\n",
+ " \"tools\" : [ 'trace-cmd', 'taskset'],\n",
+ "}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:02:29,958 INFO : TestEnv : Using base path: /home/vagrant/lisa\n",
+ "2017-03-06 12:02:29,959 INFO : TestEnv : Loading custom (inline) target configuration\n",
+ "2017-03-06 12:02:29,960 INFO : TestEnv : External tools using:\n",
+ "2017-03-06 12:02:29,960 INFO : TestEnv : ANDROID_HOME: /home/vagrant/lisa/tools/android-sdk-linux/\n",
+ "2017-03-06 12:02:29,961 INFO : TestEnv : CATAPULT_HOME: /home/vagrant/lisa/tools/catapult\n",
+ "2017-03-06 12:02:29,962 INFO : TestEnv : Devlib modules to load: ['bl', 'cpufreq']\n",
+ "2017-03-06 12:02:29,962 INFO : TestEnv : Connecting Android target [FA6A10306347]\n",
+ "2017-03-06 12:02:29,963 INFO : TestEnv : Connection settings:\n",
+ "2017-03-06 12:02:29,963 INFO : TestEnv : {'device': 'FA6A10306347'}\n",
+ "2017-03-06 12:02:30,111 INFO : android : ls command is set to ls -1\n",
+ "2017-03-06 12:02:30,715 INFO : TestEnv : Initializing target workdir:\n",
+ "2017-03-06 12:02:30,718 INFO : TestEnv : /data/local/tmp/devlib-target\n",
+ "2017-03-06 12:02:32,212 INFO : TestEnv : Topology:\n",
+ "2017-03-06 12:02:32,213 INFO : TestEnv : [[0, 1], [2, 3]]\n",
+ "2017-03-06 12:02:32,336 INFO : TestEnv : Loading default EM:\n",
+ "2017-03-06 12:02:32,337 INFO : TestEnv : /home/vagrant/lisa/libs/utils/platforms/pixel.json\n",
+ "2017-03-06 12:02:32,883 INFO : TestEnv : Enabled tracepoints:\n",
+ "2017-03-06 12:02:32,884 INFO : TestEnv : sched_switch\n",
+ "2017-03-06 12:02:32,885 INFO : TestEnv : sched_wakeup\n",
+ "2017-03-06 12:02:32,885 INFO : TestEnv : sched_wakeup_new\n",
+ "2017-03-06 12:02:32,886 INFO : TestEnv : sched_overutilized\n",
+ "2017-03-06 12:02:32,886 INFO : TestEnv : sched_load_avg_cpu\n",
+ "2017-03-06 12:02:32,886 INFO : TestEnv : sched_load_avg_task\n",
+ "2017-03-06 12:02:32,887 INFO : TestEnv : cpu_capacity\n",
+ "2017-03-06 12:02:32,887 INFO : TestEnv : cpu_frequency\n",
+ "2017-03-06 12:02:32,888 INFO : TestEnv : Set results folder to:\n",
+ "2017-03-06 12:02:32,888 INFO : TestEnv : /home/vagrant/lisa/results/Youtube_example\n",
+ "2017-03-06 12:02:32,889 INFO : TestEnv : Experiment results available also in:\n",
+ "2017-03-06 12:02:32,889 INFO : TestEnv : /home/vagrant/lisa/results_latest\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Initialize a test environment using:\n",
+ "te = TestEnv(my_conf, wipe=False)\n",
+ "target = te.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Workloads execution\n",
+ "\n",
+ "This is done using the **experiment** helper function defined above which is configured to run a **Youtube** experiment."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:02:36,854 INFO : Workload : Supported workloads available on target:\n",
+ "2017-03-06 12:02:36,857 INFO : Workload : vellamo, youtube, jankbench, uibench, geekbench\n",
+ "2017-03-06 12:02:38,425 INFO : Screen : Force manual orientation\n",
+ "2017-03-06 12:02:38,428 INFO : Screen : Set orientation: LANDSCAPE\n",
+ "2017-03-06 12:02:40,232 INFO : Screen : Set brightness: 0%\n",
+ "2017-03-06 12:02:42,903 INFO : YouTube : FTrace START\n",
+ "2017-03-06 12:02:45,115 INFO : YouTube : Play video for 60 [s]\n",
+ "2017-03-06 12:03:45,441 INFO : YouTube : FTrace STOP\n",
+ "2017-03-06 12:04:00,285 INFO : Screen : Set orientation: AUTO\n",
+ "2017-03-06 12:04:01,573 INFO : Screen : Set brightness: AUTO\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Intialize Workloads for this test environment\n",
+ "results = experiment()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Benchmarks results"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Stats since: 56584817646969ns\r\n",
+ "Total frames rendered: 297\r\n",
+ "Janky frames: 26 (8.75%)\r\n",
+ "50th percentile: 8ms\r\n",
+ "90th percentile: 16ms\r\n",
+ "95th percentile: 18ms\r\n",
+ "99th percentile: 69ms\r\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Benchmark statistics\n",
+ "db_file = os.path.join(te.res_dir, \"framestats.txt\")\n",
+ "!sed '/Stats since/,/99th/!d;/99th/q' {db_file}\n",
+ "\n",
+ "# For all results:\n",
+ "# !cat {results['db_file']}"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Traces visualisation\n",
+ "\n",
+ "For more information on this please check **examples/trace_analysis/TraceAnalysis_TasksLatencies.ipynb**."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "2017-03-06 12:06:06,389 INFO : Trace : Platform clusters verified to be Frequency coherent\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "<style>\n",
+ "/*\n",
+ " * Copyright 2015-2016 ARM Limited\n",
+ " *\n",
+ " * Licensed under the Apache License, Version 2.0 (the \"License\");\n",
+ " * you may not use this file except in compliance with the License.\n",
+ " * You may obtain a copy of the License at\n",
+ " *\n",
+ " * http://www.apache.org/licenses/LICENSE-2.0\n",
+ " *\n",
+ " * Unless required by applicable law or agreed to in writing, software\n",
+ " * distributed under the License is distributed on an \"AS IS\" BASIS,\n",
+ " * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
+ " * See the License for the specific language governing permissions and\n",
+ " * limitations under the License.\n",
+ " */\n",
+ "\n",
+ ".d3-tip {\n",
+ " line-height: 1;\n",
+ " padding: 12px;\n",
+ " background: rgba(0, 0, 0, 0.6);\n",
+ " color: #fff;\n",
+ " border-radius: 2px;\n",
+ " position: absolute !important;\n",
+ " z-index: 99999;\n",
+ "}\n",
+ "\n",
+ ".d3-tip:after {\n",
+ " box-sizing: border-box;\n",
+ " pointer-events: none;\n",
+ " display: inline;\n",
+ " font-size: 10px;\n",
+ " width: 100%;\n",
+ " line-height: 1;\n",
+ " color: rgba(0, 0, 0, 0.6);\n",
+ " content: \"\\25BC\";\n",
+ " position: absolute !important;\n",
+ " z-index: 99999;\n",
+ " text-align: center;\n",
+ "}\n",
+ "\n",
+ ".d3-tip.n:after {\n",
+ " margin: -1px 0 0 0;\n",
+ " top: 100%;\n",
+ " left: 0;\n",
+ "}\n",
+ "\n",
+ ".contextRect {\n",
+ " fill: lightgray;\n",
+ " fill-opacity: 0.5;\n",
+ " stroke: black;\n",
+ " stroke-width: 1;\n",
+ " stroke-opacity: 1;\n",
+ " pointer-events: none;\n",
+ " shape-rendering: crispEdges;\n",
+ "}\n",
+ "\n",
+ ".chart {\n",
+ " shape-rendering: crispEdges;\n",
+ "}\n",
+ "\n",
+ ".mini text {\n",
+ " font: 9px sans-serif;\n",
+ "}\n",
+ "\n",
+ ".main text {\n",
+ " font: 12px sans-serif;\n",
+ "}\n",
+ "\n",
+ ".axis line, .axis path {\n",
+ " stroke: black;\n",
+ "}\n",
+ "\n",
+ ".miniItem {\n",
+ " stroke-width: 8;\n",
+ "}\n",
+ "\n",
+ ".brush .extent {\n",
+ "\n",
+ " stroke: #000;\n",
+ " fill-opacity: .125;\n",
+ " shape-rendering: crispEdges;\n",
+ "}\n",
+ "</style>\n",
+ "<div id=\"fig_1eeb7fadb90e4593bb0fceed11353f80\" class=\"eventplot\">\n",
+ "<!-- TRAPPY_PUBLISH_SOURCE_LIB = \"https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.6/d3.min.js\" -->\n",
+ "<!-- TRAPPY_PUBLISH_SOURCE_LIB = \"http://labratrevenge.com/d3-tip/javascripts/d3.tip.v0.6.3.js\" -->\n",
+ "\n",
+ " <script>\n",
+ " /* TRAPPY_PUBLISH_IMPORT = \"plotter/js/EventPlot.js\" */\n",
+ " /* TRAPPY_PUBLISH_REMOVE_START */\n",
+ " var req = require.config( {\n",
+ "\n",
+ " paths: {\n",
+ "\n",
+ " \"EventPlot\": '/nbextensions/plotter_scripts/EventPlot/EventPlot',\n",
+ " \"d3-tip\": '/nbextensions/plotter_scripts/EventPlot/d3.tip.v0.6.3',\n",
+ " \"d3-plotter\": '/nbextensions/plotter_scripts/EventPlot/d3.min'\n",
+ " },\n",
+ " waitSeconds: 15,\n",
+ " shim: {\n",
+ " \"d3-plotter\" : {\n",
+ " \"exports\" : \"d3\"\n",
+ " },\n",
+ " \"d3-tip\": [\"d3-plotter\"],\n",
+ " \"EventPlot\": {\n",
+ "\n",
+ " \"deps\": [\"d3-tip\", \"d3-plotter\" ],\n",
+ " \"exports\": \"EventPlot\"\n",
+ " }\n",
+ " }\n",
+ " });\n",
+ " /* TRAPPY_PUBLISH_REMOVE_STOP */\n",
+ " \n",
+ " req([\"require\", \"EventPlot\"], function() { /* TRAPPY_PUBLISH_REMOVE_LINE */\n",
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