Register Allocation. Xiao Jia April 25 th, 2012
|
|
- Julia Shelton
- 5 years ago
- Views:
Transcription
1 Rgistr Allotion Xio Ji April 25 th,
2 Outlin Introution Grph oloring Linr sn 2
3 Introution Wnt to rpl tmporry vrils with som fix st of rgistrs 3
4 Introution Wnt to rpl tmporry vrils with som fix st of rgistrs W will jug this phs y Co rviw Limiting # of xut instrutions,.g. no grtr thn 1 million Compr: only 160,000 for my optimiz 8-qun 4
5 Grph oloring First: n to know whih vrils r liv ftr h instrution Two simultnously liv vrils nnot llot to th sm rgistr 5
6 Grph oloring For vry no n in CFG, w hv out[n] St of tmporris liv out of n Two vrils intrfr if Control Flow Grph oth initilly liv (i.. funtion rgumnts), or oth ppr in out[n] for ny n, or on is fin n th othr is in out[n] x = - whr x is & is liv intrfr How to ssign rgistrs to vrils? 6
7 Intrfrn grph Nos of th grph = vrils Egs onnt vrils tht intrfr with on nothr Nos will ssign olor orrsponing to th rgistr ssign to th vril Two olors n t nxt to on nothr in th grph 7
8 Intrfrn grph Instrutions Liv vrs = + 2 = * = + 1 rturn * 8
9 Intrfrn grph Instrutions Liv vrs = + 2 = * = + 1 rturn *, 9
10 Intrfrn grph Instrutions Liv vrs = + 2 = * = + 1 rturn *,, 10
11 Intrfrn grph Instrutions = + 2 = * = + 1 rturn * Liv vrs,,, 11
12 Intrfrn grph Instrutions = + 2 = * = + 1 rturn * Liv vrs,,, 12
13 Intrfrn grph olor rgistr Instrutions = + 2 = * = + 1 rturn * Liv vrs,,, $t1 $t2 13
14 Intrfrn grph olor rgistr Instrutions = + 2 = * = + 1 rturn * Liv vrs,,, $t1 $t2 14
15 Grph oloring Qustions: Cn w ffiintly fin oloring of th grph whnvr possil? Cn w ffiintly fin th optimum oloring of th grph? Wht o w o whn thr rn t nough olors (rgistrs) to olor th grph? 15
16 Coloring grph Kmp s lgorithm [1879] for fining K- oloring of grph Stp 1 (simplify): fin no with t most K-1 gs n ut it out of th grph. (Rmmr this no on stk for ltr stgs.) 16
17 Coloring grph On oloring is foun for th simplr grph, w n lwys olor th no w sv on th stk Stp 2 (olor): whn th simplifi sugrph hs n olor, k th no on th top of th stk n ssign it olor not tkn y on of th jnt nos 17
18 Coloring olor rgistr $t1 $t2 stk: 18
19 Coloring olor rgistr $t1 $t2 stk: 19
20 Coloring olor rgistr $t1 $t2 stk: 20
21 Coloring olor rgistr $t1 $t2 stk: 21
22 Coloring olor rgistr $t1 $t2 stk: 22
23 Coloring olor rgistr $t1 $t2 stk: 23
24 Coloring olor rgistr $t1 $t2 stk: 24
25 Coloring olor rgistr $t1 $t2 stk: 25
26 Coloring olor rgistr $t1 $t2 stk: 26
27 Coloring olor rgistr $t1 $t2 stk: 27
28 Coloring olor rgistr $t1 $t2 stk: 28
29 Filur If th grph nnot olor, it will vntully simplifi to grph in whih vry no hs t lst K nighors Somtims, th grph is still K-olorl! Fining K-oloring in ll situtions is n NP-omplt prolm W will hv to pproximt to mk rgistr llotors fst nough 29
30 Coloring olor rgistr $t1 $t2 stk: 30
31 Coloring olor rgistr $t1 $t2 stk: ll nos hv 2 nighours! 31
32 Coloring olor rgistr $t1 $t2 stk: 32
33 Coloring olor rgistr $t1 $t2 stk: 33
34 Coloring olor rgistr $t1 $t2 stk: 34
35 Coloring olor rgistr $t1 $t2 stk: 35
36 Coloring olor rgistr $t1 $t2 stk: 36
37 Coloring olor rgistr $t1 $t2 stk: 37
38 Coloring olor rgistr $t1 $t2 stk: W got luky! 38
39 Coloring olor rgistr $t1 $t2 Som grphs n t olor in K olors: stk: 39
40 Coloring olor rgistr $t1 $t2 Som grphs n t olor in K olors: stk: 40
41 Coloring olor rgistr $t1 $t2 Som grphs n t olor in K olors: stk: 41
42 Coloring olor rgistr $t1 $t2 Som grphs n t olor in K olors: stk: no olors lft for! 42
43 Spilling Stp 3 (spilling): on ll nos hv K or mor nighors, pik no for spilling Storg on th stk Thr r mny huristis tht n us to pik no not in n innr loop 43
44 Spilling o W n to gnrt xtr instrutions to lo vrils from stk n stor thm Ths instrutions us rgistrs thmslvs. Wht to o? Stupi pproh: lwys kp xtr rgistrs hny for shuffling t in n out: wht wst! Bttr pproh:? Dit rgistrs 44
45 Spilling o W n to gnrt xtr instrutions to lo vrils from stk n stor thm Ths instrutions us rgistrs thmslvs. Wht to o? Stupi pproh: lwys kp xtr rgistrs hny for shuffling t in n out: wht wst! Bttr pproh: rwrit o introuing nw tmporry; rrun livnss nlysis n rgistr llotion 45
46 Rwriting o Consir: t1, t1, t2 Suppos t2 is slt for spilling n ssign to stk lotion 24($fp) Introu nw tmporry t3 for just this instrution n rwrit: l t3, 24($fp) t1, t1, t3 Avntg: t3 hs vry short liv rng n is muh lss likly to intrfr. Rrun th lgorithm; fwr vrils will spill 46
47 Prolor Nos S Tigr ook for mor tils Som vrils r pr-ssign to rgistrs Frm pointr Argumnts ($0, $1, $2, $3) Funtion ll fins (trshs) llr-sv rgistrs Trt ths rgistrs s spil tmporris; for ginning, thm to th grph with thir olors 47
48 Prolor Nos S Tigr ook for mor tils Cn t simplify grph y rmoving prolor no Prolor nos r th strting point of th oloring pross On simplifi own to olor nos strt ing k th othr nos s for 48
49 Optimizing Movs Co gnrtion prous lot of xtr mov instrutions mov t1, t2 If w n ssign t1 n t2 to th sm rgistr, w o not hv to xut th mov I: if t1 n t2 r not onnt in th intrfrn grph, w ols into singl vril 49
50 Colsing Prolm: olsing n inrs th numr of intrfrn gs n mk grph unolorl ols t1 t2 t1/t2 Solution 1 (Briggs): voi rtion of high-gr (>= K) nos Solution 2 (Gorg): n ols with if vry nighour t of : lry intrfrs with, or hs low-gr (< K) 50
51 Simplify & Cols Stp 1 (simplify): simplify s muh s possil without rmoving nos tht r th sour or stintion of mov (mov-rlt nos) Stp 2 (ols): ols mov-rlt nos provi low-gr no rsults Stp 3 (frz): if nithr stps 1 or 2 pply, frz mov instrution: rgistrs involv r mrk not mov-rlt n try stp 1 gin 51
52 Ovrll Algorithm Simplify, frz n ols Livnss Mrk possil spills Color & tt tul spills Rwrit o to implmnt tul spills 52
53 Vritions My r pprs for mor vritions 53
54 Qustions? 54
55 Linr sn Givn th liv rngs of vrils in funtion, th lgorithm sns ll th liv rngs in singl pss, lloting rgistrs to vrils in gry fshion. M. Poltto, V. Srkr. Linr sn rgistr llotion
56 56
57 57
58 58
59 Exmpl Initilly, tiv is mpty # of vill rgistrs is R = 2 59
60 Exmpl Stp 1: tiv =< A > # of vill rgistrs is R = 2 60
61 Exmpl Stp 2: tiv =< A, B > # of vill rgistrs is R = 2 61
62 Exmpl Stp 3: 3 liv intrvls ovrlp # of vill rgistrs is R = 2 62
63 Exmpl # of vill rgistrs is R = 2 Stp 3: 3 liv intrvls ovrlp spills C, whos intrvl ns furthst wy from th urrnt point tiv =< A, B > 63
64 Exmpl Stp 4: A xpirs tiv =< A, B, D > # of vill rgistrs is R = 2 64
65 Exmpl Stp 5: B xpirs tiv =< B, D, E > # of vill rgistrs is R = 2 65
66 Exmpl In th n, C is th only vril not llot to rgistr. # of vill rgistrs is R = 2 66
67 Exmpl In th n, C is th only vril not llot to rgistr. # of vill rgistrs is R = 2 Othrwis, oth on of A n B n on of D n E woul hv n spill to mmory. 67
68 Qustions? 68
69 Conlusion # of slis Grph oloring: ~50 Linr sn: ~10 69
70 Conlusion # of slis Grph oloring: ~50 Linr sn: ~10 Linr sn is muh mor simplr! Only out 10% slowr thn prftly implmnt grph oloring lgorithm An your o my not tht prft 70
71 Aknowlgmnts Grph oloring slis r pt from Rgistr Allotion y Dvi Wlkr Linr sn psuo-o n xmpl r pt from Linr Sn Rgistr Allotion y M. Poltto n V. Srkr. 71
Main idea. Register Allocation. Interference graph. Register allocation. Interference graph. Interference graph
Min i Rgistr Allotion Wnt to rpl tmporry vrils with som fix st of rgistrs First: n to know whih vrils r liv ftr h instrution Two simultnously liv vrils nnot llot to th sm rgistr (Slis from Anrw Myrs) Rgistr
More informationGlobal Register Allocation
Glol Rgistr Allotion Xiokng Qiu Puru Univrsity ECE 468 Slis from Anrw Myrs Sptmr 23, 2016 Min i Wnt to rpl tmporry vrils with som fix st of rgistrs First: n to know whih vrils r liv ftr h instrution Two
More informationRegister Allocation. Goal: replace temporary variable accesses by register accesses Why? Constraints:
Rgistr Allotion Gol: rpl tmporry vril sss y rgistr sss Why? Constrints: Fix st of rgistrs Two simultnously liv vrils nnot llot to th sm rgistr A vril is liv if it will us gin for ing rfin. 1. Intify Liv
More informationMemory Management. Memory Management. Chapter 11. Memory Management Techniques. I. Single Contiguous. II. Overlays. Advantages: Disadvantages:
Chptr 11 Mmory Mngmnt Mmory Mngmnt Min mmory is rsour tht must llot n llot Min Mmory OS CPU Mmory Mngmnt Thniqus trmin: Whr n how pross rsis in mmory How rssing is prform ining: intifirs --> ompil rltiv
More informationMinimum Spanning Tree. EECS 214, Fall 2017
Minimum Spnning Tr EECS 4, Fll 0 Dinition: spnning tr For onnt omponnt o grph, spnning tr is yl-r sust o gs tht touh vry non-isolt vrtx: Dinition: spnning tr For onnt omponnt o grph, spnning tr is yl-r
More informationGraph coloring. Kempe s algorithm removes nodes with < K edges
Graph oloring Kmp s algorithm rmovs nods with < K dgs Fin This stp is alld simpliia1on Simpliia9on ithr nds with an mpty graph or a graph suh that ah nod has K dgs Now w hav to do somthing Eithr try out
More informationRouting Lectures! Advanced Topics in Routing! But there is more to the story.! Self-Learning! Interdomain: Path-vector! Intradomain (L3)!
Routing Lturs! Link-lyr (L2) Slf-lrning An Topis in Routing! EE 22: Intro to Communition Ntworks Fll 2 (MW 4-5:3 in Brkr) Sott Shnkr TAs: Smr Agrwl, Sr Alspugh, Igor Gnih, Pryg Nrul http://inst.s.rkly.u/~22/
More informationPRILEX STEEL DETAILING LLC
PRILX STL TILING Project: Mountain Tech enter RFI# Subject: Structural pproval Set & Revised esign Set Seq. # ate: //0 Originator: Gaston Fernandez References Structural approval set "000 Structural Steel
More informationMath Circles Finite Automata Question Sheet 3 (Solutions)
Mth Circles Finite Automt Question Sheet 3 (Solutions) Nickols Rollick nrollick@uwterloo.c Novemer 2, 28 Note: These solutions my give you the nswers to ll the prolems, ut they usully won t tell you how
More informationENCODER1 XXX LED POWER LED POWER GROUND CHAN A INDEX INPUT INPUT GROUND GROUND CHAN B +5V TTL XXX PWM XXX STATUS LED LED POWER DIR XXX INPUT XXX XXX
POWR N RS85 OMMUNITION +V TO +8V RS85 RS85 NOR INX HN +5V HN L POWR L POWR PRLIMINRY STTUS L L POWR TTL PWM MOTOR IR ONTROL STP +V MOTOR + MOTOR - MOTOR MOTOR + RIV MOTOR - TTL IGITL I/O ONNTOR POWR OUTPUT
More informationName & Address. Listening and Speaking. Listening and Speaking UNIT Listen and repeat the letters.
UNIT Nm & Arss Prt Listning & Spking Listning n Spking Introuing yoursl Listning n Spking g g h i j jk k l m ln m n hov wpi qx qyr szr t su t u op x y z vw 0 Look t th piturs Listn n unrlin Hi or Hllo
More informationSTEP 7 'KEY' ON INNER INSERT ASSY. H. CRIMP CONTACTS ONTO INDIVIDUAL CONDUCTORS (REFER TO SHEET 5 FOR DETAILS).
STP STP INTIY LS S RQUIR I. SLI TH RI OVR TH RIMP ONTTS.. SLI OMPONNTS ONTO L(S) IN TH ORR SHOWN TH RR O TH GROMMT WILL INIT TH ORINTTION & HOL INTIITION LTTRS **TWINX & TRIX SSMLY WITH RUING OLLR** OR
More informationTries. nimize. mize nimize ze. 4/18/2016 6:48 AM Tries 1
Tr m nmz z mz nmz z nmz z 4/18/2016 6:48 AM Tr 1 Outn Stanar tr Compr tr Suffx tr Huffman nong tr 4/18/2016 6:48 AM Tr 2 Whr o tr om from? From th wor rtrva Introu n th 1960 4/18/2016 6:48 AM Tr 3 Prprong
More informationGeometric quantities for polar curves
Roerto s Notes on Integrl Clculus Chpter 5: Bsic pplictions of integrtion Section 10 Geometric quntities for polr curves Wht you need to know lredy: How to use integrls to compute res nd lengths of regions
More informationEE Controls Lab #2: Implementing State-Transition Logic on a PLC
Objective: EE 44 - Controls Lb #2: Implementing Stte-rnsition Logic on PLC ssuming tht speed is not of essence, PLC's cn be used to implement stte trnsition logic. he dvntge of using PLC over using hrdwre
More informationSEE PAGE 4 FOR MANUFACTURER SPECIFIC BLDC MOTOR WIRING EXAMPLES
SRVO HNNL 1 HLL SNSORS L HLL SNSORS L SRVO HNNL 4 SRVO HNNL 2 HLL SNSORS +7V TO +40V POWR POWR GROUN HLL HLL HLL +5V HLL SNSOR POWR HLL SNSOR GROUN PHS POWR RIVR PHS POWR RIVR PHS POWR RIVR NOTS: 1) IF
More informationIn this project you ll learn how to create a game in which you have to save the Earth from space monsters.
Clon Wars Introduction In this projct you ll larn how to crat a gam in which you hav to sav th Earth from spac monstrs. Stp 1: Making a Spacship Lt s mak a spacship that will dfnd th Earth! Activity Chcklist
More informationMathematics. Exponentials and Logarithms. hsn.uk.net. Higher. Contents. Exponentials and Logarithms 134 HSN23300
hs.uk.t Highr Mthmtics UNIT OUTCOME Epotils d Logrithms Cotts Epotils d Logrithms 4 Epotils 4 Logrithms Lws of Logrithms 4 Epotils d Logrithms to th Bs 9 Epotil d Logrithmic Equtios 4 Formul from Eprimtl
More informationP-194 Sheet Bar Measures 1 inch
esigned y: No.: 9 0 N. PRK RO, SUIT 0 HOLLYWOO, LORI 0 PHON: (9) - X: (9) 08- Janine M. lexander, P.. P.. No. 9, L PVMNT RSTORTION N MRKING TILS Y JM rawn y: hecked y: K P-9 SRIPTION WTR MIN RPLMNT PROGRM
More informationRed Room Poetry. Find out more at redroomcompany.org
Rd Room Potry Rd Room Potry s vision is to mak potry a maningful part of vryday lif. W crat potic projcts and larning programs in collaboration with a spctrum of pots, schools, communitis and partnrs for
More informationAlgorithms for Memory Hierarchies Lecture 14
Algorithms for emory Hierrchies Lecture 4 Lecturer: Nodri Sitchinv Scribe: ichel Hmnn Prllelism nd Cche Obliviousness The combintion of prllelism nd cche obliviousness is n ongoing topic of reserch, in
More informationStudent Book SERIES. Patterns and Algebra. Name
E Student Book 3 + 7 5 + 5 Nme Contents Series E Topic Ptterns nd functions (pp. ) identifying nd creting ptterns skip counting completing nd descriing ptterns predicting repeting ptterns predicting growing
More informationMAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES
MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES Romn V. Tyshchuk Informtion Systems Deprtment, AMI corportion, Donetsk, Ukrine E-mil: rt_science@hotmil.com 1 INTRODUCTION During the considertion
More informationAquauno Select MINUTES. (duration) FREQUENCY LED. OFF 8h AQUAUNO SELECT 5 MIN FREQUENCY. the timer is being programmed;
Aquuno Select Pg. INSTALLATION. Attch the timer to cold wter tp, following these simple instructions. Do not instll the timer in pit or vlve ox, elow ground level or indoors. Do not use the timer with
More informationSupplementary Online Content
Supplmntry Onlin Contnt Gomm W, von Holt K, Thomé F, t l. Assoition o proton pump inhiitors with risk o mnti: phrmopimiologil lims t nlysis. JAMA Nurol. Pulish Frury 15, 2016. oi:10.1001/jmnurol.2015.4791.
More informationPolar Coordinates. July 30, 2014
Polr Coordintes July 3, 4 Sometimes it is more helpful to look t point in the xy-plne not in terms of how fr it is horizontlly nd verticlly (this would men looking t the Crtesin, or rectngulr, coordintes
More informationStudent Book SERIES. Fractions. Name
D Student Book Nme Series D Contents Topic Introducing frctions (pp. ) modelling frctions frctions of collection compring nd ordering frctions frction ingo pply Dte completed / / / / / / / / Topic Types
More informationBirka B22: threaded in variation
Tblet Weving: 4-Hole Ptterns Stringcrfter The chrt, fining your wy roun the pttern, n suggestions for viking style bris for rnks in the Drchenwl Acemy of Defence You will nee: 22 crs 1 repet 88 Thres:
More informationPatterns and Algebra
Student Book Series D Mthletis Instnt Workooks Copyright Series D Contents Topi Ptterns nd funtions identifying nd reting ptterns skip ounting ompleting nd desriing ptterns numer ptterns in tles growing
More informationSolutions to exercise 1 in ETS052 Computer Communication
Solutions to exercise in TS52 Computer Communiction 23 Septemer, 23 If it occupies millisecond = 3 seconds, then second is occupied y 3 = 3 its = kps. kps If it occupies 2 microseconds = 2 6 seconds, then
More informationProbability and Statistics P(A) Mathletics Instant Workbooks. Copyright
Proility nd Sttistis Student Book - Series K- P(A) Mthletis Instnt Workooks Copyright Student Book - Series K Contents Topis Topi - Review of simple proility Topi - Tree digrms Topi - Proility trees Topi
More informationComparing Fractions page 1 of 2 1 Color in the grid to show the fractions below. Each grid represents 1 whole. a 1 2 b 1. d 16
Unit 2 Moule Session 2 Compring Frtions pge of 2 Color in the gri to show the frtions below. Eh gri represents whole. 2 b 4 0 0 e 4 2 Use the pitures bove to help omplete eh omprison below using ,
More informationMOS Transistors. Silicon Lattice
rin n Width W chnnel p-type (doped) sustrte MO Trnsistors n Gte Length L O 2 (insultor) ource Conductor (poly) rin rin Gte nmo trnsistor Gte ource pmo trnsistor licon sustrte doped with impurities dding
More informationDeluxe Let s Cook Kitchen
Please retain this information for future reference Deluxe Let s ook Kitchen ssembly Instructions To order replacement parts, please visit 45 43 6 7 44 4 5 8 10 12 15 16 17 20 13 21 22 9 11 14 18 19 30
More informationESCI 241 Meteorology Lesson 6 Humidity
ESCI 241 Mtorology Lsson 6 Humiity Raing: MT Chatr 5 PARTIAL PRESSURE In a mixtur of gass, ach gas scis contributs to th total rssur. Th rssur xrt by a singl gas scis is known as th artial rssur for that
More informationGLONASS PhaseRange biases in RTK processing
ASS PhseRnge ises in RTK proessing Gle Zyrynov Ashteh Workshop on GSS Bises 202 Bern Switzerlnd Jnury 8-9 202 Sope Simplified oservtion models for Simplified oservtion models for ASS FDMA speifi: lok nd
More informationITEC2620 Introduction to Data Structures
/5/20 ITEC220 Introdution to Dt Strutures Leture 0 Gme Trees Two-Plyer Gmes Rules for gme define the sttespe Nodes re gme sttes Links re possile moves Build serh tree y rute fore Exmple I Exmple II A Our
More information1/24/2017. Electrical resistance
1/24/2017 Photocopirs and th National Grid Photoconductors so far.. On xampl of a smiconducting matrial Elctrical insulator in th dark, conductor in th light mportant componnt in a photocopir butt Slctiv
More informationp M M M O O M M M M M M M M O vo M M M M MM
$ oprno Alto nor ss inor inol Worthy o ris v crscno o t t lib (rubto l) t v 4 ta 1 2 3 Ho ly, ho ly ho - ly. ris our Go l - crsc. 4 v v Ho ly, ho ly, ho - ly. ris our Go l - crsc. v v v t v 4 Ho ly, ho
More informationPositron Emission Tomography (PET) Images
Positron Emission Tomogrphy (PET) Imges Eh set of PET imges elow ontins four imges of humn rin. The four imges show ross-setions tken t ifferent levels of the rin. Set 1 Set 4 Set 5 Set 2 Set 6 Set 3 highest
More informationMore Fun with D/A Converters
D/A with a PIC Miroontrollr (rap) Mor Fun with D/A Convrtrs A subroutin to driv this hip follows: void D2A(unsignd int ) { unsignd har i; TRISC0 = 0; TRISC3 = 0; TRISC5 = 0; // Add 0011 to th first four
More informationHomework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week
Announcements Homework #1 due Mondy t 6pm White drop ox in Student Lounge on the second floor of Cory Tuesdy ls cncelled next week Attend your other l slot Books on reserve in Bechtel Hmley, 2 nd nd 3
More informationEASY DISC Assessment
EASY DISC Assessment Instrution: Selet the one most pproprite response for eh question. 1. In my work environment, it is most importnt to me... To help o-workers n to e in peeful environment. To feel tht
More informationKirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR):
SPH4UW Kirchhoff s ules Kirchhoff s oltge ule (K): Sum of voltge drops round loop is zero. Kirchhoff s Lws Kirchhoff s Current ule (KC): Current going in equls current coming out. Kirchhoff s ules etween
More informationcos The points in an Argand diagram which represent the numbers (iii) Write down a polynomial equation of degree 5 which is satisfied by w.
FP3 Complx Numbrs. Jun qu.3 In this qustion, w dnots th complx numbr cos + i sin. 5 5 Exprss w, w 3 and w* in polar form, with argumnts in th intrval θ
More informationSection 6.1 Law of Sines. Notes. Oblique Triangles - triangles that have no right angles. A c. A is acute. A is obtuse
Setion 6.1 Lw of Sines Notes. Olique Tringles - tringles tht hve no right ngles h is ute h is otuse Lw of Sines - If is tringle with sides,, nd, then sin = sin = sin or sin = sin = sin The miguous se (SS)
More informationCSE 554 Lecture 1: Binary Pictures
CSE 554 Lctur 1: Binary Picturs Fall 2016 CSE554 Binary Picturs Sli 1 Gomtric Forms Continuous forms Dfin by mathmatical functions Curvs Surfacs E.g.: parabolas, splins, subivision surfacs 2 y x z Sin[
More informationESE535: Electronic Design Automation. Today. Topological Worst-Case Delay. Topological Worst-Case Delay. Topological Worst-Case Delay.
ESE535: Elctronic Dsin Automation Day 2: April 4, 2 Static Timin Analysis an Multi-Lvl Spup Pnn ESE535 Sprin 2 -- DHon Toay Topoloical Worst Cas not aquat (too consrvativ) Snsitization Conitions Tim Calculus
More informationTHIS LECTURE looks at bell ringing (the posh name is Tintinnalogia) which as. WE NORMALLY think of a bell as hanging mouth down. If we swing the bell,
7 Bells THIS LECTURE looks t ell ringing (the posh nme is Tintinnlogi) whih s n orgnize tivity hs een roun for long time. Inee, n importnt ook y Stemn on the sujet ws pulishe in 1668 (two yers fter the
More informationSamantha s Strategies page 1 of 2
Unit 1 Module 2 Session 3 Smnth s Strtegies pge 1 of 2 Smnth hs been working with vriety of multiplition strtegies. 1 Write n expression to desribe eh of the sttements Smnth mde. To solve 18 20, I find
More informationCommon Collector & Common Base Amplifier Circuits
xprimnt (6): ommon ollctor & as Amplification ircuit xprimnt No. (6) ommon ollctor & ommon as Amplifir ircuits Study Objctiv: (1) To comput and masur th basic charactristics of & amplification. (2) To
More information(1) Primary Trigonometric Ratios (SOH CAH TOA): Given a right triangle OPQ with acute angle, we have the following trig ratios: ADJ
Tringles nd Trigonometry Prepred y: S diyy Hendrikson Nme: Dte: Suppose we were sked to solve the following tringles: Notie tht eh tringle hs missing informtion, whih inludes side lengths nd ngles. When
More informationMATHEMATICS. Student Booklet
GRADE 6 ASSESSMENT OF READING, WRITING AND MATHEMATICS, 2004 2005 Stuent Booklet MATHEMATICS Plese note: The formt of these ooklets is slightly ifferent from tht use for the ssessment. The items themselves
More informationCS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates
Bsic Logic Gtes : Computer Architecture I Boolen Algebr Instructor: Prof. Bhgi Nrhri Dept. of Computer Science Course URL: www.ses.gwu.edu/~bhgiweb/cs35/ Digitl Logic Circuits We sw how we cn build the
More information10.4 AREAS AND LENGTHS IN POLAR COORDINATES
65 CHAPTER PARAMETRIC EQUATINS AND PLAR CRDINATES.4 AREAS AND LENGTHS IN PLAR CRDINATES In this section we develop the formul for the re of region whose oundry is given y polr eqution. We need to use the
More informationE WHITE HEAD V-102 V-103 HAMPTON HILL PLANTERS HILL GENERAL NOTES:
2 3 4 6 7 8 9 824 826 WIR RIVR, MSSHUSTTS 2-OOT RL HL 83 M STT PL OORITS # STI ORTHI MI OR US rmy orps of ngineers 2924 SUST POIT V- W IR R IV R 24 WHIT H V-2 82276 29249 2 8228 29247 3 8266 2924244 4
More informationSAFETY PRODUCT NAVIGATOR APPLICATION OF SAFETY PRODUCTS OVERVIEW
SAFETY PRODUCT NAVIGATOR APPLICATION OF SAFETY PRODUCTS OVERVIEW INDUSTRIAL SAFETY SYSTEMS sftyiq: INTELLIGENT PROTECTION FOR MORE PRODUCTIVITY Sfty solutions from SICK llow you to implmnt omplt sfty funtions
More informationEECE 301 Signals & Systems Prof. Mark Fowler
EECE 301 Signals & Systms Prof. Mark Fowlr ot St #25 D-T Signals: Rlation btwn DFT, DTFT, & CTFT Rading Assignmnt: Sctions 4.2.4 & 4.3 of Kamn and Hck 1/22 Cours Flow Diagram Th arrows hr show concptual
More informationMacroscopic and Microscopic Springs Procedure
Mrosopi nd Mirosopi Springs Proedure OBJECTIVE Purpose In this l you will: investigte the spring-like properties of stright wire, disover the strethiness of mteril, independent of the size nd shpe of n
More informationcontents Once you learn a handful of stitches, you ll be amazed at the jewelry you can create and wear!
ontents Introution... 4 Mterils n Tools... 5 Bsi Tehniques... 9 One you lern hnful of stithes, you ll e mze t the jewelry you n rete n wer! PEYOTE STITCH... 12 All Together Lether Tssel Errings...13 Angulr
More informationExample. Check that the Jacobian of the transformation to spherical coordinates is
lss, given on Feb 3, 2, for Mth 3, Winter 2 Recll tht the fctor which ppers in chnge of vrible formul when integrting is the Jcobin, which is the determinnt of mtrix of first order prtil derivtives. Exmple.
More informationAddition Mission: Facts Practice
Addition Mission: Fcts Prctice ++ Tble of Contents Addition Mission: Fcts Prctice Mth Counting Apple Mth Hippity Hop Crunchy Celery Addition Superstr Cherry Mth At the Librry Mth Sld -0 Sunny Summer Mth
More informationOR BUILDING PERMIT SHEET DATA PRELIMINARY NOT FOR CONSTRUCTION PROJECT. Author. Checker STAMP INTERIOR DESIGN: REVIEWED BY: DRAWN BY:
80 PRK VNU, LL 80 PRK VNU UP SUMITTL.5.03 PROJT ONTT INFORMTION OWNR RHITT ONTRTOR 80 Park venue, LL Onwuegbu rchitecture, LL. New Star General ontractors 590 Sidewinder r. 94 Parkridge rive 60 west 590
More information3-Dimensions. 3-Dimensions. 3D Shapes. Recognise 3-D Shapes and know their properties. 2 Dimensional. 3 Dimensional. Exercise 1
3-imnsions Ronis 3- Shaps an know thir proprtis 3 Shaps FLAT shaps, rawn on papr, lik squars, irls or trianls ar all 2-imnsional. 2 imnsional rath Thy hav 2 imnsions or 2 sizs :(lnth an rath). lnth 3 imnsional
More informationIf you d like your friends to have it, too, please refer them to my site so they can subscribe as well:
FOR FRENCH IMMERSION Thnk yo for bing nwsr sbscribr! This is gif o nwsr sbscribrs ony. If yo d ik yor frinds o hv i, oo, ps rfr hm o my si so hy cn sbscrib s w: www.forfrnchimmrsion.com Visi h si For Frnch
More informationInstallation Instructions Model # TEL-100 / 200 Manual Locking or Self Locking
INSTLLTION INSTRUTIONS TL-100 / 200 GSS-oors TL 1-406-212-2334 MIL rg@gssdoors.com W www.gssdoors.com GSS oors (406) 212-2334 (406) 897-2121 rg@gssdoors.com www.gssdoors.com TM Multi-Point eadbolt Installation
More informationLab 12. Speed Control of a D.C. motor. Controller Design
Lab. Spd Control of a D.C. motor Controllr Dsign Motor Spd Control Projct. Gnrat PWM wavform. Amplify th wavform to driv th motor 3. Masur motor spd 4. Masur motor paramtrs 5. Control spd with a PD controllr
More informationPERMIT DRAWINGS GULF COAST AMMONIA TERMINAL DOCK GULF COAST AMMONIA (GCA) GALVESTON COUNTY, TEXAS DECEMBER 2018
PRMIT RWINGS GUL OST MMONI TRMINL OK GUL OST MMONI (G) GLVSTON OUNTY, TXS LIST O RWINGS RWING NO. RWING TITL LTST RVISION T TITL SHT HOUSTON 2 OVRLL PROPOS SIT PLN TXS ITY SIT LOTION PROPOS SIT PLN 4 PROPOS
More informationResistors, Current and Voltage measurements, Ohm s law, Kirchhoff s first and second law. Kirchhoff s first Objectives:
EE -050 Ciruit L Experiment # esistors, Current nd Voltge mesurements, Ohm s lw, Kirhhoff s first nd seond lw. Kirhhoff s first Ojetives: Slmn in Adul Aziz University Eletril Engineering Deprtment. Fmiliriztion
More informationDefeating a Scarcity Mindset
Dfating a Scarcity Mindst From an arly ag, you ar bombardd with mssags concrning what to think about mony. Many of thm ar wrong. For instanc, w r taught that to b rich, you hav to mak a lot of mony. But,
More informationmodel 8317CTFPC1D1 OPTIONS
model 8317TFP XION MS Freeze Protected Shower and ye/face Wash FTUS & NFITS ONSTUTION 1-1/4" Schedule 40 Stainless Steel pipe stanchion along with powder-coated cast-iron 9" (22.9 cm) diameter floor flange
More informationLaser Interferometry Tools for Precision Measurement
Lsr Intrfromtry Tools for Prision Msurmnt Exl Prision... worl lr in th fil of lsr intrfromtry sin 1987. Whthr your pplition is on proution lin, lortory, or in th fil, Exl Prision n hlp with your prision
More informationASY P.O. BOX 729 TERRELL, TEXAS / PAGE 1 OF 13 SAM
203 Madix Inc., ll rights reserved ommon Parts 2 MXI GRI WIRE GRI SHELF WITH (GPWGS) MXI GRI FIXTURE PNEL (GPWFP) FIXTURE PNELS RE USE S EN SUPPORT. SHELF N E USE NYWHERE. MXI GRI REINFORMENT R 3 (GPR)
More informationTopic 20: Huffman Coding
Topic 0: Huffmn Coding The uthor should gze t Noh, nd... lern, s they did in the Ark, to crowd gret del of mtter into very smll compss. Sydney Smith, dinburgh Review Agend ncoding Compression Huffmn Coding
More informationAlgebra Practice. Dr. Barbara Sandall, Ed.D., and Travis Olson, M.S.
By Dr. Brr Sndll, Ed.D., Dr. Melfried Olson, Ed.D., nd Trvis Olson, M.S. COPYRIGHT 2006 Mrk Twin Medi, Inc. ISBN 978-1-58037-754-6 Printing No. 404042-EB Mrk Twin Medi, Inc., Pulishers Distriuted y Crson-Dellos
More informationChapter 18. State Transfer Taxes
Chptr 18 Stt Trnsr Txs Typs o Stt Trnsr Txs Tx plnnin or orst mnmnt nrlly ouss on inom n proprty txs. As isuss throuhout this ook, th t o th Frl stt tx otn is ovrlook. This is n ovrsiht tht n us srious
More informationEfficient and Resilient Key Discovery based on Pseudo-Random Key Pre-Deployment
Efficient nd Resilient Key Discovery sed on Pseudo-Rndom Key Pre-Deployment p. 1 Efficient nd Resilient Key Discovery sed on Pseudo-Rndom Key Pre-Deployment Roerto Di Pietro, Luigi V. Mncini, nd Alessndro
More informationExercise 1-1. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION
Exercise 1-1 The Sine Wve EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the notion of sine wve nd how it cn be expressed s phsor rotting round the center of circle. You
More informationThe Discussion of this exercise covers the following points:
Exercise 4 Bttery Chrging Methods EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the different chrging methods nd chrge-control techniques commonly used when chrging Ni-MI
More informationAssembly Instructions for Model: VMDD26
Assmbly Instructions for Modl: VMDD26 Thank you for choosing a Sanus Systms Vision Mount wall mount. Th VMDD26 is dsignd to mount up to 63 Flat panl tlvisions wighing up to 175 lb. to a vrtical wall. It
More informationVision Vol. 1: Little Worse Than A Man By Tom King, Gabriel Hernandez Walta READ ONLINE
Vision Vol. 1: Little Worse Thn A Mn By Tom King, Gbriel Hernndez Wlt READ ONLINE Vision Vol. 1: Little Worse Thn A Mn (Vision (2015-2016)) ebook: Tom King, Gbriel Wlt, Mike Del Mundo: Amzon.c: Kindle
More informationRegular languages can be expressed as regular expressions.
Regulr lnguges cn e expressed s regulr expressions. A generl nondeterministic finite utomton (GNFA) is kind of NFA such tht: There is unique strt stte nd is unique ccept stte. Every pir of nodes re connected
More informationLecture 16: Four Quadrant operation of DC Drive (or) TYPE E Four Quadrant chopper Fed Drive: Operation
Lecture 16: Four Qudrnt opertion of DC Drive (or) TYPE E Four Qudrnt chopper Fed Drive: Opertion The rmture current I is either positive or negtive (flow in to or wy from rmture) the rmture voltge is lso
More informationThe PWM switch model introduced by Vatché Vorpérian in 1986 describes a way to model a voltage-mode switching converter with the VM-PWM switch model.
The PWM swith model introdued by Vthé Vorpérin in 1986 desribes wy to model voltge-mode swithing onverter with the VM-PWM swith model. The lrge-signl model is equivlent to d trnsformer whose turns rtio
More informationDataflow Language Model. DataFlow Models. Applications of Dataflow. Dataflow Languages. Kahn process networks. A Kahn Process (1)
The slides contin revisited mterils from: Peter Mrwedel, TU Dortmund Lothr Thiele, ETH Zurich Frnk Vhid, University of liforni, Riverside Dtflow Lnguge Model Drsticlly different wy of looking t computtion:
More information& Y Connected resistors, Light emitting diode.
& Y Connected resistors, Light emitting diode. Experiment # 02 Ojectives: To get some hndson experience with the physicl instruments. To investigte the equivlent resistors, nd Y connected resistors, nd
More informationInclude a copy of this drawing with each set of parts. 2 B 1 SHEET 1 OF 6 ITEM DESCRIPTION RCK0001
TH INORMTION ONTIN IN THIS RWING IS TH SOL PROPRTY O RV. SRIPTION NorthStar attery ompany.,ll NY RPROUTION IN PRT OR WHOL WITHOUT HNG LL RWINGS TO NORTHSTR TITL LOK, LLOUT OR WL NUT ON RK SHL, TH WRITTN
More informationHello, Linx Part Number CSI-RGFB-ccc-UFFR CSI-RSFB-ccc-UFFR CSI-RSFE-ccc-UFFR CSI-SAFB-ccc-UFFR CSI-SAFE-ccc-UFFR
rom: Sent: To: Subject: ttachments: Kris Lafko Wednesday, May, 0 0:0 M Pcn System PN# - Updated Linx able ssembly rawings WinZip ompressed ttachments.zip Hello, In performing
More informationVitreous Wirewound Resistors with Lugs
www.vishy.om Vitrous Wirwoun Rsistors with ugs Vishy rlori STANAR EECTRICA SPECIFICATIONS MOE POWER RATING P C W 1 1 IMITING VOTAGE TERMINA FEATURES Complt wl onstrution Crmi or High qulity vitrous oting
More informationMONOCHRONICLE STRAIGHT
UPDATED 09-2010 HYDROCARBON Hydrocrbon is poncho-style cowl in bulky-weight yrn, worked in the round. It ws designed to be s prcticl s it is stylish, with shping tht covers the neck nd shoulders nd the
More informationInclude a copy of this document with each set of parts.
TH INORMTION ONTIN IN THIS RWING IS TH SOL PROPRTY O NorthStar attery ompany.,ll NY RPROUTION IN PRT OR WHOL WITHOUT TH WRITTN PRMISSION O NorthStar attery ompany.,ll IS PROHIIT. RV. SRIPTION T PPROV HNG
More informationECE 274 Digital Logic Spring Digital Design. Combinational Logic Design Process and Common Combinational Components Digital Design
ECE 27 Digitl Logi Spring 29 Comintionl Logi Design Proess n Common Comintionl Components Digitl Design 2.7 2. Digitl Design Chpter 2: Comintionl Logi Design Slies to ompn the tetook Digitl Design, irst
More informationIntroduction to Medical Imaging. Signal Processing Basics. Strange Effects. Ever tried to reduce the size of an image and you got this?
Strang Effcts Introduction to Mdical Imaging Evr trid to rduc th siz of an imag and you got this? Signal Procssing Basics Klaus Mullr Computr Scinc Dpartmnt Stony Brook Univrsity W call this ffct aliasing
More informationFubini for continuous functions over intervals
Fuini for ontinuous funtions over intervls We first prove the following theorem for ontinuous funtions. Theorem. Let f(x) e ontinuous on ompt intervl =[, [,. Then [, [, [ [ f(x, y)(x, y) = f(x, y)y x =
More informationLecture 16. Double integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts.
Leture 16 Double integrls Dn Nihols nihols@mth.umss.edu MATH 233, Spring 218 University of Msshusetts Mrh 27, 218 (2) iemnn sums for funtions of one vrible Let f(x) on [, b]. We n estimte the re under
More informationECE 274 Digital Logic. Digital Design. Datapath Components Shifters, Comparators, Counters, Multipliers Digital Design
ECE 27 Digitl Logic Shifters, Comprtors, Counters, Multipliers Digitl Design..7 Digitl Design Chpter : Slides to ccompny the textbook Digitl Design, First Edition, by Frnk Vhid, John Wiley nd Sons Publishers,
More informationWPCA AMEREN ESP. SEMINAR Understanding ESP Controls. By John Knapik. 2004, General Electric Company
WPCA AMEREN ESP SEMINAR Undrstanding ESP Controls By John Knapik 2004, Gnral Elctric Company Efficincy vs. Spcific Corona Powr KNOW WHERE YOUR ESP RUNS ON THE CURVE 99.9 99.0 Collction Efficincy (Prcnt)
More informationAssembly Instructions for Model: VMAA18
Assmbly Instructions for Modl: VMAA18 Thank you for choosing a Sanus Systms VisionMount wall mount. This modl will hold 30-50 inch Plasma and LCD TVs wighing up to 130 lbs to a vrtical wall. It is a full
More informationThe Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center
Resource Overview Quntile Mesure: Skill or Concept: 300Q Model the concept of ddition for sums to 10. (QT N 36) Model the concept of sutrction using numers less thn or equl to 10. (QT N 37) Write ddition
More informationDigital Signal Processing, Fall 2009
Digital Signal Prossing, Fall 009 Ltur 4: Filtr Dsign Zhng-ua Tan Dpartmnt tof Eltroni Systms Aalborg Univrsity, Dnmark zt@s.aau.k 1 Cours at a glan MM1 Disrt-tim signals an systms Systm MM Fourir transform
More information