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67
A1/Cours.md
67
A1/Cours.md
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# Cours A1
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# Cours A1
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## Cours/TP 12/10
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Injection de fautes, exploiter les failles.
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Mecanismes cryptographiques, algo mathematiquement robustes. Quand on veut les implémenter, ils peuvent êtres soumis à différentes attaques.
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Attaque par injection de code. (Injecter des données, qui peuvent correspondre à du code donné, exploitation de bug dans le code logiciel)
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Attaque par canaux auxiliaires. (temps d'execution, consommation elec, connexion)
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Raison d'optimisation (multiplication), multiplier par 0 -> pas de calcul, temps de calcul très long donc si secret = 0, temps de calcul court.
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Attaque physique. (Ouvrir le circuit, sonder (microprobing) entre la mémoire et le processeur, FIB ?)
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Certaines attaques nécessitent le composant physique, d'autres à distances (marron et bleu p4)
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Tirs lasers pour modifier la mémoire, injecter des fautes.
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p9. nécessite une précision en cycle processeur très grande. Il faut cibler une ou quelques cycles.
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p10. Algo plus connus/utilisé.
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Evaluation : QCM sur toutes les parties. (qu'est-ce qu'une attaque etc... Contres mesures et classification) Dans quel cas on utilise certaines contre mesure et dans cette attaque là quelle contre mesure utiliser ?
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p12. CRC pour protéger les CSP (critical security parameters) pour éviter de changer les p,q qui sont premiers.
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p14. On faute l'exposant d_i de proche en proche pour obtenir les m_i
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p15. Contre mesure = rajouter un produit avec un nombre aléatoire (Stratégie Résilience)
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Vérification de valeur -> Stratégie détection
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p19. On déplace l'instant d'exécution de l'instruction sensible -> Observation de la consommation électrique
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On peut rajouter des capteurs (lumière pour l'ouverture de la puce, f_clk pour le downclocking pour observer les signaux)
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### TD
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Q1 Donner l'équation de R_16 en fonction de R_15 et L_15
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R_16 = L_15 ^ f(R_15,K_16) #f(.,.) p40
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f(R_15,K_16) = P(S_1-8(E(R_15) ^ K_16))
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Q2 Entrée R_15 fautée : R_15'
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R_16' = L_15' ^ P(S_1-8(E(R_15') ^ K_16))
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Q3 Delta(R_16) = R_16 ^ R_16'
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= Delta(L_15) ^ P(a) ^ P(b)
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= Delta(L_15) ^ P(S_1-8(E(R_15) ^ K_16) ^ S_1-8(E(R_15') ^ K_16))
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Q4
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Connues : R_16, R_15 = L_16 et R_15' = L_16'
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Inconnues : Delta(L_15) et K_16
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On veut Delta(L_15) = 0 donc ne pas toucher L_15 lors de la faute.
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Q5
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P⁻¹(Delta(R_16)) = S_1-8(E(R_15) ^ K_16) ^ S_1-8(E(R_15') ^ K_16)
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On teste les clés K_16 pour avoir égalité des deux côtés, si elle c'est vérifié, la clé est une candidate.
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Défi 4 :
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Q1
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P⁻¹_1(Delta(R_16)) = S_1(E(R_15) ^ K_16,1) ^ S_1(E(R_15') ^ K_16,1)
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## 19/10 Side-Channel Analysis
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## 19/10 Side-Channel Analysis
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p9: ce qu'on attaque, c'est pas l'algo, c'est l'implémentation de celui-ci
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p9: ce qu'on attaque, c'est pas l'algo, c'est l'implémentation de celui-ci.
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p10: 10000 essais en force brute, 40 avec canal auxiliaire en regardant le temps d'exécution et sa variation pour chaque digit.
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p15: le pic de courant indique le nombre de portes logiques qui ont changé d'état
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p58: Si on a pas de connaissances à priori sur le système, on regarde une fenetre temporelle élevée pour déterminer la trace. On réduit la fenêtre quand on cible l'attaque.
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BIN
B1/WCET-CACHE-STREC-18.pdf
Normal file
BIN
B1/WCET-CACHE-STREC-18.pdf
Normal file
Binary file not shown.
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@ -2,3 +2,6 @@
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Niveau de criticalité : tolérance de fautes, fautes critiques
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Niveau de criticalité : tolérance de fautes, fautes critiques
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# Cours 26/10
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Boundaries of a tasks time
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BIN
B1/strec-ipet.tar_
Normal file
BIN
B1/strec-ipet.tar_
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Binary file not shown.
13
B1/strec-ipet/Makefile
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13
B1/strec-ipet/Makefile
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export PATH := $(PATH):/infres/ir600/users/brandner/patmos-misc/local/bin/
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OWCET=owcet
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.PHONY: analyse clean
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analyse: heli heli.ff patmos_wcet.osx patmos_wcet/caches.xml patmos_wcet/memory.xml patmos_wcet/pipeline.xml
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@mkdir -p out
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$(OWCET) -f heli.ff -s patmos_wcet.osx heli
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clean:
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rm -rf out
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BIN
B1/strec-ipet/heli
Executable file
BIN
B1/strec-ipet/heli
Executable file
Binary file not shown.
29
B1/strec-ipet/heli.ff
Normal file
29
B1/strec-ipet/heli.ff
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//**** jumptable (source: llvm)
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// TODO: find corresponding C and assembly code (Exercise 1).
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multibranch 0x20b00 to "processSensorData"+0x70,
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"processSensorData"+0x1b0,
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"processSensorData"+0x320,
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"processSensorData"+0x460;
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//****
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loop "main"+0x4c 32;
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loop "main"+0x150 10; // assumed bound
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//****
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// TODO: find tighter loop bound, later, specify loop bounds depending on
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// calling context (Exercise 2).
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loop "fixFilter"+0x24 10000;
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//****
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loop "calibrateArom"+0x48 128;
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loop "calibrateArom"+0xf0 128;
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loop "calibrateArom"+0x190 128;
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//****
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loop "processSensorData"+0xb8 8;
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loop "processSensorData"+0x214 32;
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loop "processSensorData"+0x384 32;
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loop "processSensorData"+0x4c0 32;
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//****
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loop "runFlightPlan"+0x1bc 1; // watchdog loop
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5
B1/strec-ipet/patmos_env
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5
B1/strec-ipet/patmos_env
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#!/bin/bash
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export PATH=$PATH:/infres/ir600/users/brandner/patmos-misc/local/bin/
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export LD_LIBRARY_PATH=$LD_LIBARY_PATH:/infres/ir600/users/brandner/patmos-misc/local/lib/
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35
B1/strec-ipet/patmos_wcet.osx
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35
B1/strec-ipet/patmos_wcet.osx
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<?xml version="1.0" encoding="UTF-8"?>
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<otawa-script
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xmlns:xi="http://www.w3.org/2001/XInclude"
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xmlns:xsl="http://www.w3.org/1999/XSL/Transform">
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<platform>
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<xi:include href="patmos_wcet/pipeline.xml"/>
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<xi:include href="patmos_wcet/memory.xml"/>
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<xi:include href="patmos_wcet/caches.xml"/>
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</platform>
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<script>
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<config name="otawa::ILPNAME" value="out/ipet.lp"/>
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<config name="otawa::ipet::EXPLICIT" value="true"/>
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<!-- TODO: uncomment the following line (Exercise 2) /> -->
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<!-- <step require="otawa::VIRTUALIZED_CFG_FEATURE" /> -->
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<step processor="tcrest::patmos_wcet::BBTimer">
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<config name="otawa::GRAPHS_OUTPUT_DIRECTORY" value="out"/>
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</step>
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<!-- WCET computation -->
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<step require="tcrest::patmos::METHOD_CACHE_CONTRIBUTION_FEATURE"/>
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<step require="otawa::ipet::WCET_FEATURE"/>
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<step processor="otawa::ipet::WCETCountRecorder"/>
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<step processor="otawa::display::CFGOutput">
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<config name="otawa::display::CFGOutput::PATH" value="out"/>
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</step>
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<!-- TODO: uncomment the following line (Exercise 4) /> -->
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<!-- <step processor="otawa::BBRatioDisplayer" /> -->
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</script>
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</otawa-script>
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15
B1/strec-ipet/patmos_wcet/caches.xml
Normal file
15
B1/strec-ipet/patmos_wcet/caches.xml
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<?xml version="1.0" encoding="UTF-8" standalone="yes"?>
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<cache-config>
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<dcache>
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<block_bits>5</block_bits>
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<way_bits>2</way_bits>
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<row_bits>9</row_bits>
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<miss_penalty>25</miss_penalty>
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</dcache>
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<icache>
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<block_bits>5</block_bits>
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<way_bits>2</way_bits>
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<row_bits>9</row_bits>
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<miss_penalty>25</miss_penalty>
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</icache>
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</cache-config>
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14
B1/strec-ipet/patmos_wcet/memory.xml
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14
B1/strec-ipet/patmos_wcet/memory.xml
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<?xml version="1.0" encoding="UTF-8" standalone="yes"?>
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<memory>
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<banks>
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<bank>
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<name>RAM</name>
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<address><offset>0x00000000</offset></address>
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<size>0x1fffffff</size>
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<type>DRAM</type>
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<latency>25</latency>
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<writable>true</writable>
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<cachable>true</cachable>
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</bank>
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</banks>
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</memory>
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54
B1/strec-ipet/patmos_wcet/pipeline.xml
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54
B1/strec-ipet/patmos_wcet/pipeline.xml
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<?xml version="1.0" encoding="UTF-8"?>
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<processor class="otawa::hard::Processor">
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<arch>patmos</arch>
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<model>patmos</model>
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<stages>
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<stage id="FE">
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<name>FE</name>
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<width>2</width>
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<type>FETCH</type>
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</stage>
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<stage id="DE">
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<name>DE</name>
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<width>2</width>
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<type>LAZY</type>
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</stage>
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<stage id="EX">
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<name>EX</name>
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<width>2</width>
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<type>EXEC</type>
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<ordered>true</ordered>
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<fus>
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<fu id="ALU">
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<name>ALU</name>
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<width>2</width>
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<latency>1</latency>
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</fu>
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</fus>
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<dispatch>
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<inst>
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<type/>
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<fu ref="ALU"/>
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</inst>
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</dispatch>
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</stage>
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<stage id="MEM">
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<name>MEM</name>
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<width>2</width>
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<type>LAZY</type>
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</stage>
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<stage id="CM">
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<name>CM</name>
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<width>2</width>
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<type>COMMIT</type>
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</stage>
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</stages>
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</processor>
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416
B1/strec-ipet/src/heli.c
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416
B1/strec-ipet/src/heli.c
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// helico.c
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// this code is inspired from: http://people.ece.cornell.edu/land/courses/ece4760/FinalProjects/s2006/rg242/webpage/ece%20476.htm
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#include "io.h"
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// define sensor channels
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#define GYRO_CHANNEL 0
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#define AROMX_CHANNEL 1
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#define AROMY_CHANNEL 2
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#define AROMZ_CHANNEL 3
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char currentChannel = GYRO_CHANNEL;
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// define Helicopter states
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#define GROUND 0
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#define LANDING 1
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#define TAKEOFF 2
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#define HOVER 3
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char heliState = GROUND;
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// define flight phases
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#define TAKEOFF_START 5
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#define HOVER_START 23
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#define LANDING_START 299
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#define LANDING_END 400
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#define GROUNDED_START 410
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// define motor speeds
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#define MINIMUM_PWM_VALUE 0
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#define MAXIMUM_ROTOR_PWM_VALUE (100<<8)
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#define MARKS_PER_SEC 1600
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int pwm_ticks = 0;
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int marks = 0;
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volatile int sec = 0;
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#define MAX_TAKEOFF_MOTOR_SPEED (95<<8)
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#define TAKEOFF_ROTOR_SPEED_INCR 16
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#define ROTOR_SPEED_INCR 8
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#define HOVER_ROTOR_SPEED_INCR_HIGH 2
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#define HOVER_ROTOR_SPEED_INCR_LOW 5
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#define MAX_STAB_MOTOR_SPEED (60<<8)
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#define MIN_STAB_MOTOR_SPEED 0
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#define STAB_SPEED_INCR 256
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#define MIN_LANDING_ROTOR_SPEED (50<<8)
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#define LANDING_ROTOR_SPEED_INCR 1
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int topRotorSpeed = 0;
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int bottomRotorSpeed = 0;
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int stabMotorSpeed1 = 0;
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int stabMotorSpeed2 = 0;
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int stabMotorSpeed3 = 0;
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// ADC
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char data_in;
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#define ADMUX_GYRO 0b01100000
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#define ADMUX_AROMX 0b01100001
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#define ADMUX_AROMY 0b01100010
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#define ADMUX_AROMZ 0b01100011
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// Sensors
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uint8_t gyroCalibrateThresholdLow;
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uint8_t gyroCalibrateThresholdHigh;
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uint8_t aromXCalibrateThresholdLow;
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uint8_t aromXCalibrateThresholdHigh;
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uint8_t aromYCalibrateThresholdLow;
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uint8_t aromYCalibrateThresholdHigh;
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uint8_t aromZCalibrateThresholdLow;
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uint8_t aromZCalibrateThresholdHigh;
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uint8_t gyro[32];
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uint8_t aromX[128];
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uint8_t aromY[128];
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uint8_t aromZ[128];
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void updatePWM(void);
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void processSensorData(void) __attribute__((noinline));
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void runFlightPlan(void) __attribute__((noinline));
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void calibrateGyro(void);
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void calibrateArom(void);
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uint8_t fixFilter(uint8_t *f, int size) __attribute__((noinline));
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void addSample(uint8_t *f, int size, uint8_t value);
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|
||||||
|
void timer_interrupt(void){
|
||||||
|
pwm_ticks++;
|
||||||
|
marks++;
|
||||||
|
if (marks == MARKS_PER_SEC){
|
||||||
|
sec++;
|
||||||
|
marks = 0;
|
||||||
|
}
|
||||||
|
updatePWM();
|
||||||
|
}
|
||||||
|
|
||||||
|
void updatePWM(void){
|
||||||
|
char command = 0;
|
||||||
|
int ticks = pwm_ticks << 8;
|
||||||
|
// generate PWM command for the 5 motors
|
||||||
|
if (ticks <= topRotorSpeed)
|
||||||
|
command |= PIN0;
|
||||||
|
if (ticks <= bottomRotorSpeed)
|
||||||
|
command |= PIN1;
|
||||||
|
if (ticks <= stabMotorSpeed1)
|
||||||
|
command |= PIN2;
|
||||||
|
if (ticks <= stabMotorSpeed2)
|
||||||
|
command |= PIN3;
|
||||||
|
if (ticks <= stabMotorSpeed3)
|
||||||
|
command |= PIN4;
|
||||||
|
PORTC = command;
|
||||||
|
if (ticks == MAXIMUM_ROTOR_PWM_VALUE)
|
||||||
|
pwm_ticks = 0;
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
int main(void){
|
||||||
|
calibrateGyro();
|
||||||
|
calibrateArom();
|
||||||
|
|
||||||
|
// start
|
||||||
|
topRotorSpeed = 0;
|
||||||
|
bottomRotorSpeed = 0;
|
||||||
|
stabMotorSpeed1 = 0;
|
||||||
|
stabMotorSpeed2 = 0;
|
||||||
|
stabMotorSpeed3 = 0;
|
||||||
|
|
||||||
|
sec = 0;
|
||||||
|
|
||||||
|
static volatile int x = 1;
|
||||||
|
__llvm_pcmarker(31);
|
||||||
|
while (x) {
|
||||||
|
__llvm_pcmarker(32);
|
||||||
|
if ( (ADCSR & PIN6) == 0) { // end of ADC conversion
|
||||||
|
processSensorData();
|
||||||
|
__llvm_pcmarker(33);
|
||||||
|
}
|
||||||
|
runFlightPlan();
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
void runFlightPlan(void){
|
||||||
|
// take off
|
||||||
|
if (sec <= TAKEOFF_START){
|
||||||
|
heliState = TAKEOFF;
|
||||||
|
topRotorSpeed += TAKEOFF_ROTOR_SPEED_INCR;
|
||||||
|
if (topRotorSpeed > MAX_TAKEOFF_MOTOR_SPEED)
|
||||||
|
topRotorSpeed = MAX_TAKEOFF_MOTOR_SPEED;
|
||||||
|
bottomRotorSpeed += TAKEOFF_ROTOR_SPEED_INCR;
|
||||||
|
if (bottomRotorSpeed > MAX_TAKEOFF_MOTOR_SPEED)
|
||||||
|
bottomRotorSpeed = MAX_TAKEOFF_MOTOR_SPEED;
|
||||||
|
}
|
||||||
|
|
||||||
|
// hover
|
||||||
|
if (sec == HOVER_START)
|
||||||
|
heliState = HOVER;
|
||||||
|
|
||||||
|
// landing
|
||||||
|
if (sec == LANDING_START){
|
||||||
|
heliState = LANDING;
|
||||||
|
stabMotorSpeed1 = 0;
|
||||||
|
stabMotorSpeed2 = 0;
|
||||||
|
stabMotorSpeed3 = 0;
|
||||||
|
}
|
||||||
|
|
||||||
|
if ( (sec > LANDING_START) && (sec <= LANDING_END) ){
|
||||||
|
topRotorSpeed -= LANDING_ROTOR_SPEED_INCR;
|
||||||
|
if (topRotorSpeed < MIN_LANDING_ROTOR_SPEED)
|
||||||
|
topRotorSpeed = MIN_LANDING_ROTOR_SPEED;
|
||||||
|
bottomRotorSpeed -= LANDING_ROTOR_SPEED_INCR;
|
||||||
|
if (bottomRotorSpeed < MIN_LANDING_ROTOR_SPEED)
|
||||||
|
bottomRotorSpeed = MIN_LANDING_ROTOR_SPEED;
|
||||||
|
}
|
||||||
|
|
||||||
|
// grounded
|
||||||
|
if(sec >= GROUNDED_START){
|
||||||
|
heliState = GROUND;
|
||||||
|
WDTCR = 0x08; //enable watchdog
|
||||||
|
while (1) ; //just wait for watchdog to reset machine
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
void processSensorData(void){
|
||||||
|
char filtered_data;
|
||||||
|
char data_in_last;
|
||||||
|
|
||||||
|
data_in_last = data_in;
|
||||||
|
data_in = ADCH;
|
||||||
|
|
||||||
|
switch (currentChannel) {
|
||||||
|
|
||||||
|
case GYRO_CHANNEL:
|
||||||
|
// start conversion for next channel
|
||||||
|
currentChannel = AROMX_CHANNEL;
|
||||||
|
ADMUX = ADMUX_AROMX;
|
||||||
|
ADCSR = ADCSR | PIN6;
|
||||||
|
|
||||||
|
addSample(gyro, 5, data_in);
|
||||||
|
filtered_data = fixFilter(gyro,5);
|
||||||
|
|
||||||
|
if (filtered_data < gyroCalibrateThresholdLow) {
|
||||||
|
topRotorSpeed += ROTOR_SPEED_INCR;;
|
||||||
|
if (topRotorSpeed > MAXIMUM_ROTOR_PWM_VALUE)
|
||||||
|
topRotorSpeed = MAXIMUM_ROTOR_PWM_VALUE;
|
||||||
|
bottomRotorSpeed -= ROTOR_SPEED_INCR;
|
||||||
|
if (bottomRotorSpeed < MINIMUM_PWM_VALUE)
|
||||||
|
bottomRotorSpeed = MINIMUM_PWM_VALUE;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
if (filtered_data > gyroCalibrateThresholdHigh) {
|
||||||
|
topRotorSpeed -= ROTOR_SPEED_INCR;
|
||||||
|
if (topRotorSpeed < MINIMUM_PWM_VALUE)
|
||||||
|
topRotorSpeed = MINIMUM_PWM_VALUE;
|
||||||
|
bottomRotorSpeed += ROTOR_SPEED_INCR;
|
||||||
|
if (bottomRotorSpeed > MAXIMUM_ROTOR_PWM_VALUE)
|
||||||
|
bottomRotorSpeed = MAXIMUM_ROTOR_PWM_VALUE;
|
||||||
|
}
|
||||||
|
break;
|
||||||
|
|
||||||
|
|
||||||
|
case AROMX_CHANNEL:
|
||||||
|
// start conversion for next channel
|
||||||
|
currentChannel = AROMY_CHANNEL;
|
||||||
|
ADMUX = ADMUX_AROMY;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
|
||||||
|
if (heliState == HOVER) {
|
||||||
|
|
||||||
|
__llvm_pcmarker(21);
|
||||||
|
addSample(aromX,7,data_in);
|
||||||
|
filtered_data = fixFilter(aromX,7);
|
||||||
|
|
||||||
|
if (filtered_data < aromXCalibrateThresholdLow) {
|
||||||
|
stabMotorSpeed1 -= STAB_SPEED_INCR*2;
|
||||||
|
if (stabMotorSpeed1 < MIN_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed1 = MIN_STAB_MOTOR_SPEED;
|
||||||
|
stabMotorSpeed2 += STAB_SPEED_INCR*2;
|
||||||
|
if (stabMotorSpeed2 > MAX_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed2 = MAX_STAB_MOTOR_SPEED;
|
||||||
|
stabMotorSpeed3 += STAB_SPEED_INCR*2;
|
||||||
|
if (stabMotorSpeed3 > MAX_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed3 = MAX_STAB_MOTOR_SPEED;
|
||||||
|
}
|
||||||
|
else if (filtered_data > aromXCalibrateThresholdHigh) {
|
||||||
|
stabMotorSpeed1 += STAB_SPEED_INCR*2;
|
||||||
|
if (stabMotorSpeed1 > MAX_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed1 = MAX_STAB_MOTOR_SPEED;
|
||||||
|
stabMotorSpeed2 -= STAB_SPEED_INCR*2;
|
||||||
|
if (stabMotorSpeed2 < MIN_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed2 = MIN_STAB_MOTOR_SPEED;
|
||||||
|
stabMotorSpeed3 -= STAB_SPEED_INCR*2;
|
||||||
|
if (stabMotorSpeed3 < MIN_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed3 = MIN_STAB_MOTOR_SPEED;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
stabMotorSpeed1 -= STAB_SPEED_INCR*2;
|
||||||
|
if (stabMotorSpeed1 < MIN_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed1 = MIN_STAB_MOTOR_SPEED;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
break;
|
||||||
|
|
||||||
|
case AROMY_CHANNEL:
|
||||||
|
// starting new conversion
|
||||||
|
currentChannel = AROMZ_CHANNEL;
|
||||||
|
ADMUX = ADMUX_AROMZ;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
|
||||||
|
if (heliState == HOVER){
|
||||||
|
|
||||||
|
__llvm_pcmarker(22);
|
||||||
|
addSample(aromY, 7, data_in);
|
||||||
|
filtered_data = fixFilter(aromY,7);
|
||||||
|
|
||||||
|
if (filtered_data < aromYCalibrateThresholdLow) {
|
||||||
|
stabMotorSpeed2 += STAB_SPEED_INCR*4;
|
||||||
|
if (stabMotorSpeed2 > MAX_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed2 = MAX_STAB_MOTOR_SPEED;
|
||||||
|
stabMotorSpeed3 -= STAB_SPEED_INCR*2;
|
||||||
|
if (stabMotorSpeed3 < MIN_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed3 = MIN_STAB_MOTOR_SPEED;
|
||||||
|
}
|
||||||
|
else if (filtered_data > aromYCalibrateThresholdHigh) {
|
||||||
|
stabMotorSpeed2 -= STAB_SPEED_INCR*2;
|
||||||
|
if (stabMotorSpeed2 < MIN_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed2 = MIN_STAB_MOTOR_SPEED;
|
||||||
|
stabMotorSpeed3 += STAB_SPEED_INCR*4;
|
||||||
|
if (stabMotorSpeed3 > MAX_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed3 = MAX_STAB_MOTOR_SPEED;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
stabMotorSpeed2 -= STAB_SPEED_INCR;
|
||||||
|
if (stabMotorSpeed2 < MIN_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed2 = MIN_STAB_MOTOR_SPEED;
|
||||||
|
stabMotorSpeed3 -= STAB_SPEED_INCR;
|
||||||
|
if (stabMotorSpeed3 < MIN_STAB_MOTOR_SPEED)
|
||||||
|
stabMotorSpeed3 = MIN_STAB_MOTOR_SPEED;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
break;
|
||||||
|
|
||||||
|
case AROMZ_CHANNEL:
|
||||||
|
// Starting new conversion
|
||||||
|
currentChannel = GYRO_CHANNEL;
|
||||||
|
ADMUX = ADMUX_GYRO;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
|
||||||
|
if (heliState == HOVER){
|
||||||
|
|
||||||
|
__llvm_pcmarker(23);
|
||||||
|
addSample(aromZ, 7, data_in);
|
||||||
|
filtered_data = fixFilter(aromZ,8);
|
||||||
|
|
||||||
|
if (filtered_data > aromZCalibrateThresholdHigh){
|
||||||
|
topRotorSpeed -= HOVER_ROTOR_SPEED_INCR_HIGH;
|
||||||
|
if (topRotorSpeed < MINIMUM_PWM_VALUE)
|
||||||
|
topRotorSpeed = MINIMUM_PWM_VALUE;
|
||||||
|
bottomRotorSpeed -= HOVER_ROTOR_SPEED_INCR_HIGH;
|
||||||
|
if (bottomRotorSpeed < MINIMUM_PWM_VALUE)
|
||||||
|
bottomRotorSpeed = MINIMUM_PWM_VALUE;
|
||||||
|
}
|
||||||
|
else if (filtered_data == aromZCalibrateThresholdLow){
|
||||||
|
topRotorSpeed += HOVER_ROTOR_SPEED_INCR_LOW;
|
||||||
|
if (topRotorSpeed > MAXIMUM_ROTOR_PWM_VALUE)
|
||||||
|
topRotorSpeed = MAXIMUM_ROTOR_PWM_VALUE;
|
||||||
|
bottomRotorSpeed += HOVER_ROTOR_SPEED_INCR_LOW;
|
||||||
|
if(bottomRotorSpeed > MAXIMUM_ROTOR_PWM_VALUE)
|
||||||
|
bottomRotorSpeed = MAXIMUM_ROTOR_PWM_VALUE;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
void calibrateGyro(void) {
|
||||||
|
char gyroCalibrate;
|
||||||
|
int i;
|
||||||
|
|
||||||
|
ADMUX = ADMUX_GYRO;
|
||||||
|
ADCSR = 0b11000110;
|
||||||
|
|
||||||
|
for (i=0; i<31; i++){
|
||||||
|
gyro[i] = ADCH;
|
||||||
|
ADCSR |= PIN6;;
|
||||||
|
}
|
||||||
|
gyro[31] = ADCH;
|
||||||
|
|
||||||
|
gyroCalibrate = fixFilter(gyro,5);
|
||||||
|
gyroCalibrateThresholdLow = gyroCalibrate - 1;
|
||||||
|
gyroCalibrateThresholdHigh = gyroCalibrate + 1;
|
||||||
|
}
|
||||||
|
|
||||||
|
void calibrateArom(void){
|
||||||
|
char aromCalibrate;
|
||||||
|
int i;
|
||||||
|
|
||||||
|
ADMUX = ADMUX_AROMX;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
|
||||||
|
for (i=0; i<127; i++){
|
||||||
|
aromX[i] = ADCH;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
}
|
||||||
|
aromX[127] = ADCH;
|
||||||
|
aromCalibrate = fixFilter(aromX,7);
|
||||||
|
aromXCalibrateThresholdLow = aromCalibrate;
|
||||||
|
aromXCalibrateThresholdHigh = aromCalibrate + 1;
|
||||||
|
|
||||||
|
ADMUX = ADMUX_AROMY;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
|
||||||
|
for (i=0; i<127; i++){
|
||||||
|
aromY[i] = ADCH;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
}
|
||||||
|
aromY[127] = ADCH;
|
||||||
|
aromCalibrate = fixFilter(aromY,7);
|
||||||
|
aromYCalibrateThresholdLow = aromCalibrate;
|
||||||
|
aromYCalibrateThresholdHigh = aromCalibrate;
|
||||||
|
|
||||||
|
ADMUX = ADMUX_AROMZ;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
|
||||||
|
for (i=0; i<127; i++){
|
||||||
|
aromZ[i] = ADCH;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
}
|
||||||
|
aromZ[127] = ADCH;
|
||||||
|
aromCalibrate = fixFilter(aromZ,7);
|
||||||
|
aromZCalibrateThresholdLow = aromCalibrate;
|
||||||
|
aromZCalibrateThresholdHigh = aromCalibrate + 3;
|
||||||
|
|
||||||
|
ADMUX = ADMUX_GYRO;
|
||||||
|
ADCSR |= PIN6;
|
||||||
|
|
||||||
|
}
|
||||||
|
|
||||||
|
uint8_t fixFilter(uint8_t *f, int size){
|
||||||
|
int i;
|
||||||
|
int length = 1 << size;
|
||||||
|
int sum = 0;
|
||||||
|
for(i = 0; i < length; i++){
|
||||||
|
sum = sum + f[i];
|
||||||
|
}
|
||||||
|
// divide by length
|
||||||
|
sum = sum >> size;
|
||||||
|
return sum;
|
||||||
|
}
|
||||||
|
|
||||||
|
void addSample(uint8_t *f, int size, uint8_t value){
|
||||||
|
int i;
|
||||||
|
int length = 1 << size;
|
||||||
|
for (i = 0;i < length; i++){
|
||||||
|
f[i] = f[i+1];
|
||||||
|
}
|
||||||
|
f[length-1] = value;
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
23
B1/strec-ipet/src/io.h
Normal file
23
B1/strec-ipet/src/io.h
Normal file
|
|
@ -0,0 +1,23 @@
|
||||||
|
/**************** io.h **************/
|
||||||
|
typedef unsigned char uint8_t;
|
||||||
|
|
||||||
|
#define _SFR_BASE 0xF0000
|
||||||
|
#define _SFR_MEM8(mem_addr) (*(volatile uint8_t *)(mem_addr + _SFR_BASE))
|
||||||
|
|
||||||
|
#define ADCH _SFR_MEM8(0x05)
|
||||||
|
#define ADCSR _SFR_MEM8(0x06)
|
||||||
|
#define ADMUX _SFR_MEM8(0x07)
|
||||||
|
#define PIND _SFR_MEM8(0x10)
|
||||||
|
#define PORTD _SFR_MEM8(0x12)
|
||||||
|
#define PORTC _SFR_MEM8(0x15)
|
||||||
|
#define WDTCR _SFR_MEM8(0x31)
|
||||||
|
|
||||||
|
|
||||||
|
#define PIN0 0x1
|
||||||
|
#define PIN1 0x2
|
||||||
|
#define PIN2 0x4
|
||||||
|
#define PIN3 0x8
|
||||||
|
#define PIN4 0x10
|
||||||
|
#define PIN5 0x20
|
||||||
|
#define PIN6 0x40
|
||||||
|
#define PIN7 0x80
|
||||||
128
D3/TP/Cours.ipynb
Normal file
128
D3/TP/Cours.ipynb
Normal file
|
|
@ -0,0 +1,128 @@
|
||||||
|
{
|
||||||
|
"cells": [
|
||||||
|
{
|
||||||
|
"cell_type": "markdown",
|
||||||
|
"metadata": {},
|
||||||
|
"source": [
|
||||||
|
"# Cours D3\n",
|
||||||
|
"\n",
|
||||||
|
"## Cours Méthodes d'analyse non supervisées\n",
|
||||||
|
"\n",
|
||||||
|
"Exemple de clustering complete linkage :\n",
|
||||||
|
"On prend 4 singletons avec leur matrice de dissimilarité."
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 1,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": [
|
||||||
|
"import numpy as np"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 4,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [
|
||||||
|
{
|
||||||
|
"name": "stdout",
|
||||||
|
"output_type": "stream",
|
||||||
|
"text": [
|
||||||
|
"[[0. 0.3 0.4 0.8 ]\n",
|
||||||
|
" [0.3 0. 0.5 0.8 ]\n",
|
||||||
|
" [0.4 0.5 0. 0.45]\n",
|
||||||
|
" [0.8 0.8 0.45 0. ]]\n"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"D = np.array([[0, 0.3, 0.4, 0.7],[0, 0, 0.5, 0.8],[0, 0, 0, 0.45],[0, 0, 0, 0]])\n",
|
||||||
|
"D += D.T\n",
|
||||||
|
"print(D)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "markdown",
|
||||||
|
"metadata": {},
|
||||||
|
"source": [
|
||||||
|
"On link les 2 clusters les plus proches (a,b) donc on prend le max de différence entre (a,b) et c et d."
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 7,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [
|
||||||
|
{
|
||||||
|
"name": "stdout",
|
||||||
|
"output_type": "stream",
|
||||||
|
"text": [
|
||||||
|
"[[0. 0.5 0.8 ]\n",
|
||||||
|
" [0.5 0. 0.45]\n",
|
||||||
|
" [0.8 0.45 0. ]]\n"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"D2 = np.array([[0, 0.5, 0.8],[0.5, 0, 0.45],[0.8, 0.45, 0]])\n",
|
||||||
|
"print(D2)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "markdown",
|
||||||
|
"metadata": {},
|
||||||
|
"source": [
|
||||||
|
"On coupe au saut le plus important sur le dendrogramme (on continu jusqu'a avoir K-clusters)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 9,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [
|
||||||
|
{
|
||||||
|
"name": "stdout",
|
||||||
|
"output_type": "stream",
|
||||||
|
"text": [
|
||||||
|
"[[0. 0.8]\n",
|
||||||
|
" [0.8 0. ]]\n"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"# (a,b,c) et d\n",
|
||||||
|
"D3 = np.array([[0, 0.8],[0.8,0]])\n",
|
||||||
|
"print(D3)"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"metadata": {
|
||||||
|
"kernelspec": {
|
||||||
|
"display_name": "Python 3.8.10 64-bit",
|
||||||
|
"language": "python",
|
||||||
|
"name": "python3"
|
||||||
|
},
|
||||||
|
"language_info": {
|
||||||
|
"codemirror_mode": {
|
||||||
|
"name": "ipython",
|
||||||
|
"version": 3
|
||||||
|
},
|
||||||
|
"file_extension": ".py",
|
||||||
|
"mimetype": "text/x-python",
|
||||||
|
"name": "python",
|
||||||
|
"nbconvert_exporter": "python",
|
||||||
|
"pygments_lexer": "ipython3",
|
||||||
|
"version": "3.8.10"
|
||||||
|
},
|
||||||
|
"orig_nbformat": 4,
|
||||||
|
"vscode": {
|
||||||
|
"interpreter": {
|
||||||
|
"hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
|
||||||
|
}
|
||||||
|
}
|
||||||
|
},
|
||||||
|
"nbformat": 4,
|
||||||
|
"nbformat_minor": 2
|
||||||
|
}
|
||||||
232
D3/TP/TP1.ipynb
232
D3/TP/TP1.ipynb
File diff suppressed because one or more lines are too long
9
Projet/Projet.md
Normal file
9
Projet/Projet.md
Normal file
|
|
@ -0,0 +1,9 @@
|
||||||
|
# Optimisation robot
|
||||||
|
Trouver meilleurs compromis performance/consommation.
|
||||||
|
Répartition sur 5/6 groupes.
|
||||||
|
On peut commencer dès que les groupes sont faits.
|
||||||
|
|
||||||
|
|
||||||
|
## Jetson
|
||||||
|
Pour optimiser le code, il faut connaître le matériel.
|
||||||
|
Faire beaucoup de doc et de tests :)
|
||||||
|
|
@ -14,5 +14,6 @@ p6. temps exécution = nombre instruction * temps moyen par instruction * temps
|
||||||
|
|
||||||
p8. instructions simples, donc décomposition des instructions complexes en instructions simples.
|
p8. instructions simples, donc décomposition des instructions complexes en instructions simples.
|
||||||
|
|
||||||
### T1-C3 Pipeline
|
### T1-C5 Hiérarchie mémoire
|
||||||
|
|
||||||
|
p2: courbe correspondant à une technologie, on ne sait pas laquelle.
|
||||||
14
T1/TD/[SETI]T1_TD/Bibliographie.bib
Normal file
14
T1/TD/[SETI]T1_TD/Bibliographie.bib
Normal file
|
|
@ -0,0 +1,14 @@
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
@article{Ref,
|
||||||
|
author = "",
|
||||||
|
title = "",
|
||||||
|
journal = "",
|
||||||
|
volume = "",
|
||||||
|
number = "",
|
||||||
|
pages = "",
|
||||||
|
year = "",
|
||||||
|
DOI = "",
|
||||||
|
keywords = ""
|
||||||
|
}
|
||||||
232
T1/TD/[SETI]T1_TD/Content/TD1.tex
Normal file
232
T1/TD/[SETI]T1_TD/Content/TD1.tex
Normal file
|
|
@ -0,0 +1,232 @@
|
||||||
|
\chapter{Processeurs scalaires, superscalaires et VLIW}
|
||||||
|
|
||||||
|
\section{Prédiction de branchement}
|
||||||
|
|
||||||
|
Un branchement a le comportement suivant, où N signifie non pris, P signifie pris et P*k indique une suite de k branchements pris.\\
|
||||||
|
PPNP*kNP*kNP*kNP*kNP*k...
|
||||||
|
|
||||||
|
\subsection{Prédiction après phase d'initialisation}
|
||||||
|
|
||||||
|
\subsubsection{a)}
|
||||||
|
|
||||||
|
Pour un prédicteur 1 bit, à chaque mauvaise prédiction la prochaine prédiction sera inversée ou plutôt on ne change pas la prédiction tant qu'elle est bonne.
|
||||||
|
|
||||||
|
- $k=1$
|
||||||
|
|
||||||
|
\begin{tabular}{l l}
|
||||||
|
Branchement &: P P N P N P N P N P \\
|
||||||
|
Prédicteur &: \color{blue}{X} \color{green}{P} \color{red}{P N P N P N P N}
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Prédictions bonnes à $\frac{k-1}{(k-1)+2} = 0 \implies 0\%$
|
||||||
|
|
||||||
|
- $k=3$
|
||||||
|
|
||||||
|
\begin{tabular}{l l}
|
||||||
|
Branchement &: P P N P P P N P P P N P P P N P P P\\
|
||||||
|
Prédicteur &: \color{blue}{X} \color{green}{P} \color{red}{P N} \color{green}{P P} \color{red}{P N} \color{green}{P P} \color{red}{P N} \color{green}{P P} \color{red}{P N} \color{green}{P P}
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Prédiction bonnes à $\frac{k-1}{(k-1)+2} = \frac{1}{2} \implies 50\%$
|
||||||
|
|
||||||
|
- $k=5$
|
||||||
|
|
||||||
|
\begin{tabular}{l l}
|
||||||
|
Branchement &: P P N P P P P P N P P P P P N P P P P P N P P P P P\\
|
||||||
|
Prédicteur &: \color{blue}{X} \color{green}{P} \color{red}{P N} \color{green}{P P P P} \color{red}{P N} \color{green}{P P P P} \color{red}{P N} \color{green}{P P P P} \color{red}{P N} \color{green}{P P P P}
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Prédiction bonnes à $\frac{k-1}{(k-1)+2} = \frac{4}{6} \implies 66\%$
|
||||||
|
|
||||||
|
On a bien la conclusion que plus une boucle est longue et donc une répétition de branchements est importante et plus le prédicteur sera efficace.
|
||||||
|
|
||||||
|
\subsubsection{b)}
|
||||||
|
|
||||||
|
Pour un prédicteur 2 bits, on passe d'un niveau fort (FX) à faible (fx) lors d'une erreur de prédiction avant de changer la prédiction de branchement. Lorsque la prédiction est bonne en revanche, on passe d'un état faible à un état fort.
|
||||||
|
|
||||||
|
FP $\iff$ fp $\iff$ fn $\iff$ FN
|
||||||
|
|
||||||
|
- $k=1$
|
||||||
|
|
||||||
|
\begin{tabular}{l l}
|
||||||
|
Branchement &: P ~~~~~P ~~~~N ~~P ~N ~~P ~N ~~P ~N ~P \\
|
||||||
|
Prédicteur &: \color{blue}{fx} \color{green}{FP|fp} \color{red}{FP} \color{green}{fp} \color{red}{FP} \color{green}{fp} \color{red}{FP} \color{green}{fp} \color{red}{FP} \color{green}{fp}
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Prédictions bonnes de 50\% à condition de ne pas commencer par FNP.
|
||||||
|
|
||||||
|
- $k=3$
|
||||||
|
|
||||||
|
\begin{tabular}{l l}
|
||||||
|
Branchement &: P ~~~~~P ~~~~N ~~P ~P ~~P ~~N ~~P ~~P ~~P ~~N ~~P ~~P ~~P ~~N ~~P ~~P ~P\\
|
||||||
|
Prédicteur &: \color{blue}{fx} \color{green}{FP|fp} \color{red}{FP} \color{green}{fp FP FP} \color{red}{FP} \color{green}{fp FP FP} \color{red}{FP} \color{green}{fp FP FP} \color{red}{FP} \color{green}{fp FP FP}
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Prédictions bonnes à 75\%. Si la première prédiction est à FN, on perd seulement la validité de quelques (4) premiers branchements.
|
||||||
|
|
||||||
|
- $k=5$
|
||||||
|
|
||||||
|
(FX $\longrightarrow$ X, fx $\longrightarrow$ x)
|
||||||
|
|
||||||
|
\begin{tabular}{l l}
|
||||||
|
Branchement &: P ~~~~~P ~~~N P P P P P N P P P P P N P P P P P N P P P P P\\
|
||||||
|
Prédicteur &: \color{blue}{fx} \color{green}{FP|fp} \color{red}{P} \color{green}{p P P P P} \color{red}{~P} \color{green}{p P P P P} \color{red}{P} \color{green}{p P P P P} \color{red}{~P} \color{green}{p P P P P}
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Prédiction bonnes à 83\% avec le même problème que pour $k=3$.
|
||||||
|
|
||||||
|
On remarque cette fois-ci que le taux de bonne prédiction suit $\frac{k}{(k-1)+2}$.
|
||||||
|
On devient plus résilient aux boucles imbriquées.
|
||||||
|
|
||||||
|
\subsection{Prédicteur un bit et un bit d'historique initialisé à N}
|
||||||
|
Prédicteur P : si P est une bonne prédiction, le reste de ses prédictions sera à N sinon il sera à P.\\
|
||||||
|
Prédicteur N : si N est une bonne prédiction, le reste de ses prédictions sera à N sinon à P.
|
||||||
|
|
||||||
|
- $k=1$
|
||||||
|
|
||||||
|
\begin{tabular}{llllllllllll}
|
||||||
|
Branchement &: &P &P &N &P &N &P &N &P &N &P \\
|
||||||
|
Historique &: &\color{blue}X &\color{blue}P &\color{blue}P &\color{blue}N &\color{blue}P &\color{blue}N &\color{blue}P &\color{blue}N &\color{blue}P &\color{blue}N \\
|
||||||
|
Prédicteur P &: &\color{blue}X &\color{green}\boxed{P} &\color{red}\boxed{P} &\color{red}N &\color{green}\boxed{N} &\color{red}N &\color{green}\boxed{N} &\color{red}N &\color{green}\boxed{N} &\color{red}N \\
|
||||||
|
Prédicteur N &: &\color{blue}X &\color{red}N &\color{green}N &\color{red}\boxed{N} &\color{red}P &\color{green}\boxed{P} &\color{red}P &\color{green}\boxed{P} &\color{red}P &\color{green}\boxed{P}
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Prédictions bonnes à 100\% car le cycle de répétition (période) est de 2 ce qui est la limite d'historique pour un prédicteur 1 bit ($2^1$).
|
||||||
|
|
||||||
|
- $k=3$
|
||||||
|
|
||||||
|
\begin{tabular}{llllllllllllllllllll}
|
||||||
|
Branchement &: &P &P &N &P &P &P &N &P &P &P &N &P &P &P &N &P &P &P\\
|
||||||
|
Historique &: &\color{blue}X &\color{blue}P &\color{blue}P &\color{blue}N &\color{blue}P &\color{blue}P &\color{blue}P &\color{blue}N &\color{blue}P &\color{blue}P &\color{blue}P &\color{blue}N &\color{blue}P &\color{blue}P &\color{blue}P &\color{blue}N &\color{blue}P &\color{blue}P \\
|
||||||
|
Prédicteur P &: &\color{blue}{X} &\color{green}\boxed{P} &\color{red}\boxed{P} &\color{gray}N &\color{red}\boxed{N} &\color{green}\boxed{P} &\color{red}{\boxed{P}} &\color{gray}N &\color{red}\boxed{N} &\color{green}\boxed{P} &\color{red}{\boxed{P}} &\color{gray}N &\color{red}\boxed{N} &\color{green}\boxed{P} &\color{red}{\boxed{P}} &\color{gray}N &\color{red}\boxed{N} &\color{green}\boxed{P}\\
|
||||||
|
Prédicteur N &: &\color{blue}{X} &\color{gray}{N} &\color{gray}{N} &\color{red}\boxed{N} &\color{gray}P &\color{gray}P &\color{gray}{P} &\color{green}\boxed{P} &\color{gray}P &\color{gray}P &\color{gray}{P} &\color{green}\boxed{P} &\color{gray}P &\color{gray}P &\color{gray}{P} &\color{green}\boxed{P} &\color{gray}P &\color{gray}P
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Prédiction bonnes à 50\%
|
||||||
|
|
||||||
|
- $k=5$
|
||||||
|
|
||||||
|
\begin{tabular}{l l}
|
||||||
|
Branchement &: P P N P P P P P N P P P P P N P P P P P N P P P P P\\
|
||||||
|
Historique &: \color{blue}X P P N P P P P P N P P P P P N P P P P P N P P P P \\
|
||||||
|
Prédicteur P &: \color{blue}{X} \color{green}{P} \color{red}{P} \color{gray}{N} \color{red}{N} \color{green}{P P P} \color{red}{P} \color{gray}{N} \color{red}{N} \color{green}{P P P} \color{red}{P} \color{gray}{N} \color{red}{N} \color{green}{ P P P} \color{red}{P} \color{gray}{N} \color{red}{N} \color{green}{P P P}\\
|
||||||
|
Prédicteur N &: \color{blue}{X} \color{gray}{N N} \color{green}P \color{gray}{ P P P P P} \color{green}{P} \color{gray}{P P P P P} \color{green}{P} \color{gray}{P P P P P} \color{green}{P} \color{gray}{P P P P}
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Prédiction bonnes de $\frac{2}{3}$
|
||||||
|
|
||||||
|
\section{Processeurs scalaires et superscalaires : exécution de boucles}
|
||||||
|
|
||||||
|
\subsection{Version scalaire du processeur et caches parfaits
|
||||||
|
(aucun cycle d’attente mémoire)}
|
||||||
|
|
||||||
|
Corps du programme en assembleur :
|
||||||
|
|
||||||
|
\begin{minted}[linenos, breaklines, frame = single]{asm}
|
||||||
|
boucle:
|
||||||
|
lf f1, (r1) //f1 ← x[i]
|
||||||
|
lf f2, (r2) //f2 ← y[i]
|
||||||
|
fmul f1, f1, f0 //f1 ← x[i]*a
|
||||||
|
NOP*3
|
||||||
|
fadd f2, f2, f1 //f2 ← y[i]+x[i]*a
|
||||||
|
NOP*3
|
||||||
|
sf f2, (r2) //y[i] ← f2
|
||||||
|
addi r1, r1, 4 //x[i++]
|
||||||
|
addi r2, r2, 4 //y[i++]
|
||||||
|
addi r3, r3, -1 //i++
|
||||||
|
bne r3, boucle //1000 itérations
|
||||||
|
\end{minted}
|
||||||
|
|
||||||
|
On part de la valeur i (r3) = 1000 jusqu'à 0 (while(i>0)) et on incrémente les indices en conséquence.
|
||||||
|
Avec les 6 NOP, on arrive à 15 cycles/opérations.
|
||||||
|
|
||||||
|
On optimise les latences en modifiant les chargements et incrémentation d'indices.
|
||||||
|
|
||||||
|
\begin{minted}[linenos, breaklines, frame = single]{asm}
|
||||||
|
boucle:
|
||||||
|
lf f1, (r1) //f1 ← x[i]
|
||||||
|
lf f2, (r2) //f2 ← y[i]
|
||||||
|
fmul f1, f1, f0 //f1 ← x[i]*a
|
||||||
|
addi r1, r1, 4 //x[i++]
|
||||||
|
addi r2, r2, 4 //y[i++]
|
||||||
|
addi r3, r3, -1 //i--
|
||||||
|
fadd f2, f2, f1 //f2 ← y[i]+x[i]*a
|
||||||
|
NOP*3
|
||||||
|
sf f2, -4(r2) //y[i-1] ← f2
|
||||||
|
bne r3, boucle //1000 itérations
|
||||||
|
\end{minted}
|
||||||
|
On gagne 3 cycles par opération soit 12 cycles/op.
|
||||||
|
|
||||||
|
\subsection{Version déroulée}
|
||||||
|
\begin{minted}[linenos, breaklines, frame = single]{asm}
|
||||||
|
boucle:
|
||||||
|
lf f1, (r1) //f1 ← x[i]
|
||||||
|
lf f3, 4(r1) //f3 ← x[i+1]
|
||||||
|
lf f5, 8(r1) //f5 ← x[i+2]
|
||||||
|
lf f7, 12(r1) //f7 ← x[i+3]
|
||||||
|
lf f2, (r2) //f2 ← y[i]
|
||||||
|
lf f4, 4(r2) //f4 ← y[i+1]
|
||||||
|
lf f6, 8(r2) //f6 ← y[i+2]
|
||||||
|
lf f8, 12(r2) //f8 ← y[i+3]
|
||||||
|
fmul f1, f1, f0 //f1 ← x[i]*a
|
||||||
|
fmul f3, f3, f0 //f3 ← x[i+1]*a
|
||||||
|
fmul f5, f5, f0 //f5 ← x[i+2]*a
|
||||||
|
fmul f7, f7, f0 //f7 ← x[i+3]*a
|
||||||
|
fadd f2, f2, f1 //f2 ← y[i]+x[i]*a
|
||||||
|
fadd f4, f4, f3 //f4 ← y[i+1]+x[i+1]*a
|
||||||
|
fadd f6, f6, f5 //f6 ← y[i+2]+x[i+2]*a
|
||||||
|
fadd f8, f8, f7 //f8 ← y[i+3]+x[i+3]*a
|
||||||
|
addi r1, r1, 16 //x[i++]
|
||||||
|
addi r2, r2, 16 //x[i++]
|
||||||
|
addi r3, r3, -4 //i++
|
||||||
|
sf f2, -12(r2) //y[i-3] ← f2
|
||||||
|
sf f4, -8(r2) //y[i-2] ← f4
|
||||||
|
sf f6, -4(r2) //y[i-1] ← f6
|
||||||
|
sf f8, (r2) //y[i] ← f8
|
||||||
|
bne r3, boucle //1000 itérations
|
||||||
|
\end{minted}
|
||||||
|
|
||||||
|
On a 24 cycles pour 4 itérations, soit 6 cycles/itération.
|
||||||
|
|
||||||
|
\subsection{Superscalaire}
|
||||||
|
|
||||||
|
\begin{tabular}{r|c|c|c|c}
|
||||||
|
&E0 & E1 & FM & FA \\
|
||||||
|
\hline
|
||||||
|
1&lf f1,(r1) & & &\\
|
||||||
|
2&lf f2,(r2) & & & \\
|
||||||
|
3&addi r1,r1,4& addi r2,r2,4&fmul f1,f1,f0 & \\
|
||||||
|
4&addi r3,r3,-1&&&\\
|
||||||
|
5&&&&\\
|
||||||
|
6&&&&\\
|
||||||
|
7&& & & fadd f2,f2,f1\\
|
||||||
|
8&& & & \\
|
||||||
|
9&&&&\\
|
||||||
|
10&&&&\\
|
||||||
|
11& sf f2,-4(r2)&bne r3, boucle & &
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
On ne gagne qu'un cycle avec cette version (11cycles/itération).
|
||||||
|
|
||||||
|
\subsection{Superscalaire déroulé}
|
||||||
|
|
||||||
|
\begin{tabular}{r|c|c|c|c}
|
||||||
|
&E0 & E1 & FM & FA \\
|
||||||
|
\hline
|
||||||
|
1&lf f1,(r1) & lf f3,4(r1) & &\\
|
||||||
|
2& lf f5,8(r1)& lf f7,12(r1) & &\\
|
||||||
|
3& lf f2,(r2)& lf f4,4(r2)& fmul f1,f1,f0&\\
|
||||||
|
4& lf f6,8(r2)& lf f8,12(r2)& fmul f3,f3,f0&\\
|
||||||
|
5& addi r1,r1,16& addi r2,r2,16& fmul f5,f5,f0 & \\
|
||||||
|
6& addi r3,r3,-4& & fmul f5,f5,f0& \\
|
||||||
|
7&&&& fadd f2,f2,f1\\
|
||||||
|
8&&&& fadd f4,f4,f3\\
|
||||||
|
9&&&& fadd f6,f6,f5\\
|
||||||
|
10&& & & fadd f8,f8,f7\\
|
||||||
|
11&sf f2,-12(r2) & & & \\
|
||||||
|
12&sf f4,-8(r2)&&&\\
|
||||||
|
13&sf f6,-4(r2)&&&\\
|
||||||
|
14&sf f8, (r2) &bne r3, boucle & &
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
Cette fois-ci, on utilise 14 cycles pour 4 itérations, soit 3,5 cycles/itération.
|
||||||
69
T1/TD/[SETI]T1_TD/Content/useful_commands.tex
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69
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|
|
@ -0,0 +1,69 @@
|
||||||
|
|
||||||
|
% -------------------- Plot --------------------
|
||||||
|
|
||||||
|
\begin{figure}[ht]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width = 0.3\linewidth]{}
|
||||||
|
\caption{}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
% -------------------- Subplot --------------------
|
||||||
|
|
||||||
|
\begin{figure}[ht]
|
||||||
|
\centering
|
||||||
|
\begin{subfigure}[b]{0.4\textwidth}
|
||||||
|
\includegraphics[width = \linewidth]{}
|
||||||
|
\caption{}
|
||||||
|
\end{subfigure}
|
||||||
|
\hfill
|
||||||
|
\begin{subfigure}[b]{0.4\textwidth}
|
||||||
|
\includegraphics[width = \linewidth]{}
|
||||||
|
\caption{}
|
||||||
|
\end{subfigure}
|
||||||
|
\caption{}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
% -------------------- Bullet list --------------------
|
||||||
|
|
||||||
|
\begin{list}{\textbullet}{}
|
||||||
|
|
||||||
|
\end{list}
|
||||||
|
|
||||||
|
% -------------------- Code matlab --------------------
|
||||||
|
|
||||||
|
\begin{minted}[linenos, breaklines, frame = single]{matlab}
|
||||||
|
|
||||||
|
\end{minted}
|
||||||
|
|
||||||
|
% -------------------- Separate the sheet into smaller sheets ----------------
|
||||||
|
|
||||||
|
\begin{minipage}{0.55\linewidth}
|
||||||
|
|
||||||
|
\end{minipage}\hfill
|
||||||
|
\begin{minipage}{0.45\linewidth}
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width = 0.3\linewidth]{TitlePage/ens_logo.png}
|
||||||
|
\caption{}
|
||||||
|
\end{figure}
|
||||||
|
\end{minipage}
|
||||||
|
|
||||||
|
% ------------------- Biblio ------------------
|
||||||
|
|
||||||
|
@article{Ref,
|
||||||
|
author = "",
|
||||||
|
title = "",
|
||||||
|
journal = "",
|
||||||
|
volume = "",
|
||||||
|
number = "",
|
||||||
|
pages = "",
|
||||||
|
year = "",
|
||||||
|
DOI = "",
|
||||||
|
keywords = ""
|
||||||
|
}
|
||||||
|
|
||||||
|
@misc{ref,
|
||||||
|
author = "",
|
||||||
|
title = "",
|
||||||
|
url = {}
|
||||||
|
}
|
||||||
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|
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|
||||||
|
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|
||||||
|
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|
||||||
|
\begin{center}
|
||||||
|
|
||||||
|
% ------- Main logo --------
|
||||||
|
\null\vspace{1.1cm}
|
||||||
|
\includegraphics[width=.65\linewidth]{\@mainlogo}\\[2cm]
|
||||||
|
|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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||||||
|
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|
||||||
|
\hrule width \hsize height .5mm % Thick horizontal rule
|
||||||
|
\vspace{.035\textheight} % White space between the top rule and title
|
||||||
|
|
||||||
|
% --------- Title ----------
|
||||||
|
\begin{minipage}{.85\textwidth}
|
||||||
|
\bfseries\Huge\centering
|
||||||
|
\textcolor{black}{\@title}
|
||||||
|
\end{minipage}
|
||||||
|
|
||||||
|
% ------ Bottom rule ------
|
||||||
|
\vspace{.035\textheight} % White space between the bottom rule and title
|
||||||
|
\hrule width \hsize height 0.5mm % Thick horizontal rule
|
||||||
|
|
||||||
|
\vspace{.065\textheight}
|
||||||
|
|
||||||
|
% --------- Author ---------
|
||||||
|
\textsc{
|
||||||
|
\Large
|
||||||
|
\begin{tabular}[t]{c}
|
||||||
|
\@author % Author name (array)
|
||||||
|
\end{tabular}
|
||||||
|
}
|
||||||
|
|
||||||
|
\vspace{.02\textheight} % White space between the author name and date
|
||||||
|
|
||||||
|
\vfill % White space between the date and publisher
|
||||||
|
|
||||||
|
\end{center}
|
||||||
|
|
||||||
|
% ---------- Bottom of the page ----------
|
||||||
|
{\large\textsc{\@date}}\hfill % Date of publishing
|
||||||
|
|
||||||
|
\makeatother
|
||||||
|
\end{titlepage}
|
||||||
BIN
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|
||||||
|
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|
||||||
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|
||||||
|
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||||||
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||||||
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||||||
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||||||
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||||||
|
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|
||||||
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|
||||||
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\Gm@wd@mp=\dimen136
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\Gm@odd@mp=\dimen137
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\Gm@even@mp=\dimen138
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\Gm@layoutwidth=\dimen139
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\Gm@layoutheight=\dimen140
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\Gm@layouthoffset=\dimen141
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\Gm@layoutvoffset=\dimen142
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\Gm@dimlist=\toks15
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)
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! LaTeX Error: File `fouriernc.sty' not found.
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Type X to quit or <RETURN> to proceed,
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|
or enter new name. (Default extension: sty)
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Enter file name:
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/home/higepi/Documents/M2R_SETI/M2_SETI/T1/TD/[SETI]T1_TD/setup.tex:5: Emergency stop.
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<read *>
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l.5 \usepackage
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[utf8]{inputenc} % Required for inputting international UTF-8...
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*** (cannot \read from terminal in nonstop modes)
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Here is how much of TeX's memory you used:
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789 strings out of 483154
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10866 string characters out of 5965022
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241641 words of memory out of 5000000
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15886 multiletter control sequences out of 15000+600000
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532636 words of font info for 25 fonts, out of 8000000 for 9000
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14 hyphenation exceptions out of 8191
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33i,0n,27p,208b,36s stack positions out of 5000i,500n,10000p,200000b,80000s
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/home/higepi/Documents/M2R_SETI/M2_SETI/T1/TD/[SETI]T1_TD/setup.tex:5: ==> Fatal error occurred, no output PDF file produced!
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44
T1/TD/[SETI]T1_TD/main.tex
Normal file
44
T1/TD/[SETI]T1_TD/main.tex
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@ -0,0 +1,44 @@
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\documentclass[a4paper, 12pt, french]{report}
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\input{setup.tex}
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\begin{document}
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% Title page placeholders
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\title{T1 - Architecture avancée - TD}
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\author{Saša Radosavljevic}
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\date{\today}
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\field{M2 E3A - SETI}
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\mainlogo{TitlePage/ups_logo.png}
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% Make title page
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\include{TitlePage/titlepage}
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\newpage
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\
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\thispagestyle{empty}
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\newpage
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% Front matter - Page numbers in alphabetic style
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\changepagenumbering{arabic}
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% TOC - links are black to ensure color integrity
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{
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\hypersetup{linkcolor=black}
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\tableofcontents
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}
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% Set new paragraph style after the TOC
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\setlength{\parindent}{0em} % Indentation size to none
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\setlength{\parskip}{1em} % Paragraph intervall size
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|
||||||
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\include{Content/TD1}
|
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||||||
|
% Main matter - Include every chapter/part here
|
||||||
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\printbibliography
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\end{document}
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127
T1/TD/[SETI]T1_TD/setup.tex
Normal file
127
T1/TD/[SETI]T1_TD/setup.tex
Normal file
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@ -0,0 +1,127 @@
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\usepackage[top=2.5cm, bottom=2.5cm, left=2.5cm, right=2.5cm]{geometry}
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% ----------------- Fonts, encoding and language packages ------------------
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\usepackage{fouriernc} % Use the New Century Schoolbook font
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\usepackage[utf8]{inputenc} % Required for inputting international UTF-8 characters
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\usepackage[T1]{fontenc} % Output font encoding for international characters
|
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\usepackage{babel} % Language package (language is defined in documentclass)
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\usepackage{setspace} % Font/line (and others) spacing configuration
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\usepackage{tocbibind} % Insert TOC reference link into TOC
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\usepackage[section]{placeins} % Place figures in their section only
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% ------------- Tables, figures and other special environments -------------
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\usepackage{graphicx} % Import and manage graphics
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\usepackage{tabularx} % Better table control (ie. auto cell's width)
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\usepackage{multirow} % Allows multirow cells in tables
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\usepackage{pdfpages} % Insert PDF documents
|
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\usepackage{subcaption} % To use subfigures
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\usepackage[export]{adjustbox} % Adjust figures position
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\usepackage{marginnote} % Insert notes in doc margins
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|
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|
% Table column types (gray italic column / centered expanding column)
|
||||||
|
\newcolumntype{\grayc}{>{\itshape\large\raggedright\arraybackslash\columncolor{gray90}}c}
|
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|
\newcolumntype{\centerX}{>{\centering\arraybackslash}X}
|
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|
% --------------------- Codes and scripts environments ---------------------
|
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|
\usepackage{listings} % Create lists with line numbers (used for code view)
|
||||||
|
\usepackage{minted} % Color syntax for scripts in multiple languages
|
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% ----------------------------- Color defines ------------------------------
|
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\usepackage{xcolor,colortbl} % Table cells color editing
|
||||||
|
\usepackage{color} % Main color package (define colors)
|
||||||
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\definecolor{accentcolor}{RGB}{0,119,139} % Accent color used in the whole doc
|
||||||
|
\definecolor{gray75}{gray}{0.75} % Title lines main color
|
||||||
|
\definecolor{gray90}{gray}{0.90} % Table main rows/columns
|
||||||
|
\definecolor{darkgreen}{rgb}{.0, .5, .0} % EXTENDS command color
|
||||||
|
|
||||||
|
% Insert links, color them and modify PDF settings
|
||||||
|
\usepackage[colorlinks=true,allcolors=accentcolor,bookmarks=true]{hyperref}
|
||||||
|
|
||||||
|
\definecolor{ENSBlue}{RGB}{0, 119, 139}
|
||||||
|
\definecolor{ENSGrey}{rgb}{0.3, 0.3, 0.3}
|
||||||
|
\definecolor{ENSLightGrey}{RGB}{190, 200, 200}
|
||||||
|
\definecolor{ENSDarkBlue}{RGB}{10, 50, 80}
|
||||||
|
\definecolor{matlabGreen}{RGB}{28, 172, 0} % Pour le listing des codes
|
||||||
|
\definecolor{matlabLilas}{RGB}{170, 55, 241}
|
||||||
|
|
||||||
|
% -------------------- Bibliography configuration --------------------------
|
||||||
|
\usepackage[backend=biber,style=numeric,sorting=none]{biblatex}
|
||||||
|
\usepackage{csquotes} % To ensure quotes with biblatex are working well
|
||||||
|
\addbibresource{Bibliographie.bib} % Bibliography file to load
|
||||||
|
|
||||||
|
% --------------------------- Title style editing --------------------------
|
||||||
|
\usepackage{titlesec} % Lets modify header styles (chapter, section, etc)
|
||||||
|
\newcommand{\hspct}{\hspace{18pt}} % Horizontal space for chapter title
|
||||||
|
\newcommand{\hspst}{\hspace{9pt}} % Horizontal space for section title
|
||||||
|
\newcommand{\hspsst}{\hspace{4.5pt}} % Horizontal space for subsection title
|
||||||
|
|
||||||
|
\titleformat{\chapter}[hang]
|
||||||
|
{\color{ENSBlue}\Huge\bfseries\raggedright} % Huge size and bold font
|
||||||
|
{\thechapter\hspct % Number and horizontal space
|
||||||
|
\textcolor{ENSBlue}{\rule[-0.25\baselineskip]{5pt}{\baselineskip}}
|
||||||
|
\hspct}{0pt}{} % Horizontal space then name
|
||||||
|
|
||||||
|
\titleformat{\section}[hang]
|
||||||
|
{\color{ENSBlue}\Large\bfseries\raggedright} % Huge size and bold font
|
||||||
|
{\thesection\hspst\textcolor{ENSDarkBlue}{-}\hspst}{0pt}{} % Number, horizontal space then name
|
||||||
|
[\hrule height 0.5pt]
|
||||||
|
|
||||||
|
\titleformat{\subsection}[hang]
|
||||||
|
{\color{ENSBlue}\large\bfseries\raggedright} % Color, Huge size and bold font
|
||||||
|
{\thesubsection\hspsst\textcolor{ENSDarkBlue}{-}\hspsst}{0pt}{} % Number, horizontal space then name
|
||||||
|
|
||||||
|
\titleformat{\subsubsection}[hang]
|
||||||
|
{\color{ENSBlue}\large\bfseries\raggedright} % Color, Huge size and bold font
|
||||||
|
{\thesubsection\hspsst\textcolor{ENSDarkBlue}{-}\hspsst}{0pt}{} % Number, horizontal space then name
|
||||||
|
|
||||||
|
\titleformat{\subsubsubsection}[hang]
|
||||||
|
{\color{ENSBlue}\large\bfseries\raggedright} % Color, Huge size and bold font
|
||||||
|
{\thesubsection\hspsst\textcolor{ENSDarkBlue}{-}\hspsst}{0pt}{} % Number, horizontal space then name
|
||||||
|
|
||||||
|
|
||||||
|
% -------------------------- Mathematic packages --------------------------
|
||||||
|
\usepackage{amsmath} % Create matrices, subequations and more
|
||||||
|
\usepackage{amssymb} % Math font to create symbols from characters
|
||||||
|
|
||||||
|
% Mathematic new commands
|
||||||
|
\newcommand{\sgn}{\text{sgn}} % Sign function as text
|
||||||
|
|
||||||
|
% -------------------------- FRENCH translations --------------------------
|
||||||
|
|
||||||
|
\iflanguage{french}{ % Replace "Table" with "Tableau" in FRENCH only
|
||||||
|
\AtBeginDocument{\renewcommand\tablename{\textsc{Tableau}}}
|
||||||
|
\AtBeginDocument{\renewcommand\listingscaption{\textsc{Code}}}
|
||||||
|
\AtBeginDocument{\renewcommand\lstlistlistingname{Liste des codes}}
|
||||||
|
}
|
||||||
|
|
||||||
|
% -------------------------- New useful commands --------------------------
|
||||||
|
\newcommand{\todo}[1]{\textbf{\textcolor{blue}{(TODO: #1)}} \PackageWarning{setup}{#1}} % TODO command
|
||||||
|
\newcommand{\extend}[1]{\textbf{\textcolor{darkgreen}{(EXTEND: #1)}} \PackageWarning{setup}{#1}} % EXTENDS command
|
||||||
|
\newcommand{\draft}[1]{\textbf{\textcolor{red}{(DRAFT: #1)}} \PackageWarning{setup}{#1}} % DRAFT command
|
||||||
|
|
||||||
|
% Reset page number and change page numbering style
|
||||||
|
\newcommand{\changepagenumbering}[1]{
|
||||||
|
\setcounter{page}{1}
|
||||||
|
\pagenumbering{#1}
|
||||||
|
}
|
||||||
|
|
||||||
|
\makeatletter
|
||||||
|
\newcommand*{\field}[1]{\gdef\@field{#1}} % Defines "field" variable used in title page
|
||||||
|
\newcommand*{\project}[1]{\gdef\@project{#1}} % Defines "project" variable used in title page
|
||||||
|
\newcommand*{\mainlogo}[1]{\gdef\@mainlogo{#1}} % Defines "mainlogo" variable used in title page
|
||||||
|
\newcommand*{\logoCN}[1]{\gdef\@logoCN{#1}} % Defines "optionallogo" variable used in title page
|
||||||
|
\newcommand*{\logoCNRS}[1]{\gdef\@logoCNRS{#1}} % Defines "optionallogo" variable used in title page
|
||||||
|
\makeatother
|
||||||
|
|
||||||
|
% Existing environments configuration
|
||||||
|
\usepackage{etoolbox} % Allows to append commands to existing environements
|
||||||
|
|
||||||
|
\iflanguage{english}{
|
||||||
|
\AtBeginEnvironment{itemize}{\setlength{\baselineskip}{0em}} % Change itemize line skip
|
||||||
|
\AtBeginEnvironment{itemize}{\setlength{\parskip}{.7em}} % Change itemize line vertical space
|
||||||
|
|
||||||
|
\AtBeginEnvironment{enumerate}{\setlength{\baselineskip}{0em}} % Change enumerate line skip
|
||||||
|
\AtBeginEnvironment{enumerate}{\setlength{\parskip}{.7em}} % Change enumerate line vertical space
|
||||||
|
}
|
||||||
|
|
||||||
|
\AtBeginEnvironment{tabularx}{\def\arraystretch{1.6}} % Change array vertical padding within cells
|
||||||
Loading…
Reference in a new issue