From d3775adf9112d4940ca52f4b8beaf1564dd0d412 Mon Sep 17 00:00:00 2001 From: Francesco Mecca Date: Fri, 22 May 2020 00:15:00 +0200 Subject: [PATCH] latex + makefiles + fixini --- .gitignore | 14 +++++++++++++ anno3/vpc/consegne/1/1.definizioni.org | 24 +++++++++++----------- anno3/vpc/consegne/1/1.pdf | Bin 175864 -> 176846 bytes anno3/vpc/consegne/1/Makefile | 7 ++++--- anno3/vpc/consegne/2.b/2.b.org | 2 ++ anno3/vpc/consegne/2.b/{2.pdf => 2.b.pdf} | Bin 237711 -> 238920 bytes anno3/vpc/consegne/2.b/Makefile | 9 ++++---- anno3/vpc/consegne/2/2.pdf | Bin 985860 -> 1052307 bytes anno3/vpc/consegne/2/2.pn.org | 19 +++++++++++++++-- anno3/vpc/consegne/2/Makefile | 5 +++-- anno3/vpc/consegne/3/Makefile | 5 +++-- anno3/vpc/consegne/3/analisi.org | 18 ++++++++++++++-- anno3/vpc/consegne/3/analisi.pdf | Bin 2569626 -> 2450789 bytes anno3/vpc/consegne/3/ridotto_3.6.jpg | Bin 95646 -> 35242 bytes anno3/vpc/consegne/3/ridotto_3.8.jpg | Bin 97950 -> 37508 bytes anno3/vpc/consegne/4/4.org | 15 +++++++++++--- anno3/vpc/consegne/4/4.pdf | Bin 0 -> 386524 bytes anno3/vpc/consegne/4/Makefile | 20 ++++++++++++++++++ anno3/vpc/consegne/4/sender_2t_C.jpg | Bin 46086 -> 54456 bytes anno3/vpc/consegne/conv/conv.py | 2 +- todo.org | 1 + 21 files changed, 110 insertions(+), 31 deletions(-) rename anno3/vpc/consegne/2.b/{2.pdf => 2.b.pdf} (85%) create mode 100644 anno3/vpc/consegne/4/4.pdf create mode 100644 anno3/vpc/consegne/4/Makefile diff --git a/.gitignore b/.gitignore index 0b4df89..9589a06 100644 --- a/.gitignore +++ b/.gitignore @@ -11,6 +11,20 @@ analisi.pn.tex analisi.tex tesi_unicode.tex part4_unicode.tex +1.accenti.org +1.accenti.tex +1.accenti.tex~ +2.accenti.org +2.accenti.tex +2.accenti.tex~ +2.accenti.org +analisi_accenti.org +4.accenti.org +4.accenti.tex +4.accenti.tex~ +4.tex +4_accenti.tex +4_accenti.tex~ ## Core latex/pdflatex auxiliary files: diff --git a/anno3/vpc/consegne/1/1.definizioni.org b/anno3/vpc/consegne/1/1.definizioni.org index 88929c8..68b294e 100644 --- a/anno3/vpc/consegne/1/1.definizioni.org +++ b/anno3/vpc/consegne/1/1.definizioni.org @@ -8,7 +8,7 @@ Possiamo definire i numeri naturali utilizzando la rappresenzationa di Von Neumann: - definifiamo la funzione /successore(n)/ come: - | successore(n) = n ∪ {n} + | successore(n) = n ∪ {n} - 0 = ∅ - 1 = 0 ∪ {0} = {∅} - 2 = 1 ∪ {1} = {0, 1} @@ -21,7 +21,7 @@ I numeri interi sono i numeri appartenenti all'insieme dei numeri interi ℤ, ovvero tutti i numeri il cui valore assoluto e` un numero naturale. Possiamo rappresentare intuitivamente l'insieme dei numeri interi ℤ -come {n | ∃(a,b) ∈ ℕ×ℕ, n = a-b} +come {n \vert{} ∃(a,b) ∈ ℕ×ℕ, n = a-b} ** Numeri razionali @@ -34,20 +34,20 @@ non termina (numeri irrazionali). L'intersezione fra due insiemi e` a sua volta un insieme contenente gli elementi in comune fra i due insiemi: -| A∩B = {x | x∈A ∧ x∈B} +| A∩B = {x \vert{} x∈A ∧ x∈B} ** Unione L'unione fra due insiemi e` a sua volta un insieme contenente gli elementi dei due insiemi: -| A∩B = {x | x∈A ∨ x∈B} +| A∩B = {x \vert{} x∈A ∨ x∈B} ** Differenza La differenza fra due insiemi e` a sua volta un insieme contenente tutti gli elementi presenti nell'insieme a sinistra della differenza ma non non contenuti nell'insieme a destra: -| A \\ B = {x | x∈A ∧ x∉B} +| A \\ B = {x \vert{} x∈A ∧ x∉B} ** Insieme Potenza @@ -57,7 +57,7 @@ l'insieme che contiene tutti i sottoinsiemi di S. ** Complemento di un insieme Il complemento di un insieme e` a sua volta un insieme che contiene tutti gli elementi che non appartengono all'insieme di partenza: -| Aᶜ = {a | a∉A} +| Aᶜ = {a \vert{} a∉A} ** Insieme contenuto @@ -70,23 +70,23 @@ loro volta elementi di B: Un insieme A si dice strettamente contenuto in B se tutti gli elementi di A sono a loro volta elementi di B ma ci sono degli elementi di B che non appartengono ad A: -| A⊂B iff (∀a∈A, a∈B) ∧ (∃b∈B | b∉A) +| A⊂B iff (∀a∈A, a∈B) ∧ (∃b∈B \vert{} b∉A) ** Prodotto Cartesiano Il prodotto cartesiano di due insiemi e` un insieme contenente tutte le coppie ordinate di cui il primo elemento appartiene al primo insieme ed il secondo elemento al secondo insieme: -| A × B = {(a, b) | a∈A ∧ b∈B} +| A × B = {(a, b) \vert{} a∈A ∧ b∈B} -** Arieta` n +** Arietà n Si definisce arietà di una relazione R il numero di insiemi a cui si applica quella relazione. Se una relazione ha arietà n: | R ⊆ A₁×A₂×...×Aₙ ** Relazione binaria -Si definisce una relazione R binaria quando R ha arieta` 2: +Si definisce una relazione R binaria quando R ha arietà 2: | R ⊆ A₁×A₂ ** Proprieta` riflessiva Considerato un insieme A e una relazione R, diciamo che R e` una @@ -118,8 +118,8 @@ Se la relazione R e` transitiva, allora R=R⁺ Definiamo funzione una relazione fra due insiemi A e B che associa un elemento dell'insieme A ad esattamente un elemento dell'insieme B: | f: X↦Y -** Funzione di arieta` n -Possiamo definire una funzione di arieta` n su un insieme S come: +** Funzione di arietà n +Possiamo definire una funzione di arietà n su un insieme S come: | f: Sⁿ↦S ** Funzione iniettiva Una funzione f: X↦Y si dice iniettiva quando presi due elementi diff --git a/anno3/vpc/consegne/1/1.pdf b/anno3/vpc/consegne/1/1.pdf index 51580c5f18a9d71a1952a715569a9fab0dcc6186..5f72c6151439b913da9d376d284af2496403975d 100644 GIT binary patch delta 75259 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1.definizioni.tex +DEL = 1.aux 1.bbl 1.blg 1.log 1.out 1_unicode.tex 1.pdf 1.tex texput.log 1.definizioni.aux 1.definizioni.out 1.toc 1.definizioni.log 1.definizioni.tex 1.definizioni.toc 1.tex 1.definizioni.tex 1.accenti.tex NAME = definizioni tesi: @@ -9,8 +9,9 @@ tesi: rm -f $(DEL) @echo @echo "=== Building from scratch ===" - emacs -batch 1.definizioni.org -f org-latex-export-to-latex --kill - python3 ../conv/conv.py 1.definizioni.tex 1.tex + accenti 1.definizioni.org > 1.accenti.org + emacs -batch 1.accenti.org -f org-latex-export-to-latex --kill + python3 ../conv/conv.py 1.accenti.tex 1.tex pdflatex $(SRC) @echo @echo "=== All done. Generated $(NAME).pdf ===" diff --git a/anno3/vpc/consegne/2.b/2.b.org b/anno3/vpc/consegne/2.b/2.b.org index 8855482..7b1094f 100644 --- a/anno3/vpc/consegne/2.b/2.b.org +++ b/anno3/vpc/consegne/2.b/2.b.org @@ -1,5 +1,6 @@ * Rete E +#+CAPTION: Rete E [[./reteE.jpg]] I master sono modellati dai posti Richiesta, Attesa e Elabora. Lo slave @@ -83,6 +84,7 @@ avvenga il join di due processi con lo diverso padre: * Rete F +#+CAPTION: Rete F [[./reteF.jpg]] I master sono modellati dai posti Richiesta, Attesa e Elabora. 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+++ b/anno3/vpc/consegne/3/Makefile @@ -1,6 +1,6 @@ SRC = analisi.tex AUX = analisi.aux -DEL = analisi.aux analisi.bbl analisi.blg analisi.log analisi.out analisi_unicode.tex analisi.pdf analisi.tex texput.log analisi.aux analisi.out analisi.toc analisi.log analisi.tex analisi.toc analisi.tex analisi.tex +DEL = analisi.aux analisi.bbl analisi.blg analisi.log analisi.out analisi_unicode.tex analisi.pdf analisi.tex texput.log analisi.aux analisi.out analisi.toc analisi.log analisi.tex analisi.toc analisi.tex analisi.tex analisi_accenti.org NAME = tesi: @@ -9,7 +9,8 @@ tesi: rm -f $(DEL) @echo @echo "=== Building from scratch ===" - emacs -batch analisi.org -f org-latex-export-to-latex --kill + accenti analisi.org > analisi_accenti.org + emacs -batch analisi_accenti.org -f org-latex-export-to-latex --kill && mv analisi_accenti.tex analisi.tex python3 ../conv/conv.py analisi.tex analisi.tex pdflatex $(SRC) @echo diff --git a/anno3/vpc/consegne/3/analisi.org b/anno3/vpc/consegne/3/analisi.org index 80d0203..42dbfab 100644 --- a/anno3/vpc/consegne/3/analisi.org +++ b/anno3/vpc/consegne/3/analisi.org @@ -85,6 +85,7 @@ AG (#P1==1 -> AF (#P3 == 1)) AG (#Q1==1 -> AF (#Q3 == 1)) AG (#Q1==1 -> EF (#Q3 == 1)) #+END_SRC +#+CAPTION: Rete 3.2 \includepdf{3.2.jpg} ** Algebra dei processi Riportiamo il modello dell'algoritmo 3.2 secondo l'algebra dei @@ -106,7 +107,9 @@ processi CSP. | Q₃ ::= critical_{q}.Q₄ | Q₄ ::= set_{p}.Q₁ +#+CAPTION: Reachability Graph 3.2 \includepdf{rg_3.2.jpg} +#+CAPTION: Derivation Graph 3.2 \includepdf{derivation_3.2.jpg} ** Risultati @@ -229,6 +232,7 @@ AG(!(#Await_P == 1) || !(#Await_Q == 1)) = true AG ((#Wait_P==1 || #Await_Q == 1) -> AF (#Done_P == 1 || #Done_Q == 1)) = false AG (#Await_P==1 -> AF (#Done_P == 1)) = false #+END_SRC +#+CAPTION: Rete 3.5 \includepdf{3.5.jpg} ** Risultati @@ -316,6 +320,7 @@ AG (#P1 == 1 -> EF(#Q4==1 || #Q4 == 1)) AG (#P2 == 1 -> AF (#P4 == 1)) AG (#Q2 == 1 -> AF (#Q4 == 1)) #+END_SRC +#+CAPTION: Rete 3.6 \includepdf{3.6.jpg} ** Algebra dei processi L'algoritmo 3.6 modellato secondo NuSMV e GreatSPN mostra che non c'e` @@ -347,7 +352,9 @@ nodi ed e` equivalente al Reachability Graph. | Q₅ ::= setFalse_{q}.Q₁ +#+CAPTION: Reachability Graph 3.6 \includepdf{rg_3.6.jpg} +#+CAPTION: Derivation Graph 3.6 \includepdf{derivation_3.6.jpg} ** Risultati @@ -501,6 +508,7 @@ seguente formula CTL: AG(#await_P == 1 -> EF(#critical_Q==1 || #critical_P == 1)) #+END_SRC che conferma la presenza di deadlock causata dalle due variabili booleane. +#+CAPTION: Rete 3.8 \includepdf{3.8.jpg} ** Risultati Nella tabella mostriamo i risultati ottenuti @@ -653,6 +661,7 @@ seguente formula CTL: | AG(#setTrue_P == 1 -> EF(#critical_Q==1 || #critical_P == 1)) che conferma la presenza di deadlock causata dalle due variabili booleane. +#+CAPTION: Rete 3.9 \includepdf{3.9.jpg} ** Risultati Nella tabella mostriamo i risultati ottenuti @@ -911,6 +920,7 @@ AG ((#local_P==1 || #local_Q == 1) -> AF (#critical_P == 1 || \#critical_Q == 1) AG (#local_P==1 -> AF (#critical_P == 1)) AG (#local_Q==1 -> AF (#critical_Q == 1)) #+END_SRC +#+CAPTION: Rete 3.10 \includepdf{dekker.jpg} Ci aspettiamo che come in precedenza ci sia deadlock perche` viene data ai processi la possibilita` di rimanere su /local/. @@ -975,7 +985,8 @@ La trace equivalence e` piu` debole della bisimulation equivalence: | p ∼ q → p ⋍_{T} q ma non viceversa | p ∼ q ↛ p ⋍_{T} q -notiamo subito che una sequenza /s/ dove /criticalₚ/ e /critical_{q}/ +Dato che l'algoritmo 3.6 non rispetta la mutua esclusione, +possiamo affermare che una sequenza /s/ dove /criticalₚ/ e /critical_{q}/ appaiono in successione, non e` una sequenza valida per il modello dell'algoritmo 3.2 ma lo e` per il modello dell'algoritmo 3.6. | s = ...criticalₚcritical_{q}... @@ -996,6 +1007,9 @@ stesse riduzioni: Riportiamo le immagini delle due reti ridotte. Le transizioni relative a /setTrue/ e /await/ non sono riducibili in quanto hanno archi uscenti. Possiamo affermare che le due reti non -sono equivalenti, come era deducibile dal fatto che rispettano diverse proprieta`. +sono equivalenti, come era deducibile dal fatto che rispettano diverse +proprieta`. +#+CAPTION: Riduzione rete 3.6 [[./ridotto_3.6.jpg]] +#+CAPTION: Riduzione rete 3.8 [[./ridotto_3.8.jpg]] diff --git a/anno3/vpc/consegne/3/analisi.pdf b/anno3/vpc/consegne/3/analisi.pdf index 33c66ba1478d03af75c5ee3ed127eb32dcad0b43..dfbee7a0d272efeac73c4f43f57e1adf8f4a9a2c 100644 GIT binary patch delta 153956 zcmXuqV_PO{xHjNy+n(&2JlS@WZQI=$lWp6!ZQHi(TCMk4?}z;-T-&MRN;}U0J{(H~ zjv)nQXJ<|Bt%alnT&l}Nud^X_9;>w!kMK`~7LZ8-JFI}o_>zbOxY(}dA<Y)u%tq1PFxT#pS26+Xg$etkCuio{R13yzkx3&Z|*tj)iH!CmPmfb867zMGRA_iT{l@z zYU-X-Xwf<)gND)E4S=@6F%$Bt#?jh4rAehVqO4<#Z(*+};g3(j_^?(=rexUUNxb7( zo`*kgyllJcXO0T+f+opHW6s&-$Uk52Fg^i`VAaZNAPlX~k< zyF$&PQ$wZ&Y$Uo*a-G}BnU;#+85cY(J!_|mCqhV2=zEtJkj$M@+Mnx^%8L3K@L%>4 z<7%!qY2_cSnIq_$gP5jLw2Vy6<`|LXi3`GxVY!r}Ip(^SW8uA=&mijkN;LAjTw0t- 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Viene simulata la verifica dell'ack in un intervallo di tempo [2;4] e successivamente l'automa torna allo stato iniziale resettando il clock /sc/. -# \includepdf{sender_A.jpg} +#+CAPTION: Sender protocollo A [[./sender_A.jpg]] ** Receiver Il receiver e` simmetrico al sender. Dallo stato iniziale di /wait/ @@ -28,6 +30,7 @@ La transizione dallo stato /done_pkg/ a /send_ack/ simula la generazione di un pacchetto di ack in un intervallo di tempo [2;4] ed tornare allo stato iniziale dopo aver inviato il pacchetto nel canale di sincronizzazione urgente /RL/. +#+CAPTION: Receiver protocollo A [[./receiver_A.jpg]] ** Link Il link e` modellato come un canale perfetto senza perdite. Lo stato @@ -40,6 +43,7 @@ simula l'arrivo nello stato /received_ack/ dal canale di trasmissione /RL/ e l'invio verso il sender dallo stato /resend_ack/ attraverso il canale di trasmissione /LM/. Per il processing dei pacchetti l'intervallo di tempo e` sempre [2;4]. +#+CAPTION: Link protocollo A [[./link_A.jpg]] ** Proprieta` Sono state verificate tre proprieta` TCTL sul modello: @@ -69,11 +73,13 @@ Come si denota dall'immagine il link e` simile a quello del modello A eccezion fatta per la possibilita` di procedere non deterministicamente dagli spazi /received_pkg/ e /received_ack/ verso /loss/ +#+CAPTION: Link protocollo B [[./link_B.jpg]] Mostriamo un trace in cui il link perde un pacchetto di ack inviato dal sender e il sistema va in deadlock. Dalla figura possiamo notare la transizione che simula la perdita, ovvero l'arco /received_ack/ → /loss/. +#+CAPTION: Trace con deadlock [[./trace_B.jpg]] \includepdf{trace_B2.jpg} ** Proprieta` @@ -110,6 +116,7 @@ tenere traccia dei pacchetti inviati e degli ack ricevuti. Di seguito viene mostrato il receiver del modello C. Rispetto al Modello B il receiver utilizza una flag binaria locale /r_frame/ per tenere traccia degli pacchetti gia` ricevuti e processati. +#+CAPTION: Receiver protocollo C [[./receiver_C.jpg]] ** Sender Il sender e` stato modellato raddopiando il numero di posti e archi, @@ -122,8 +129,10 @@ di spostarsi nello spazio /lost/ e riprovare l'invio del pacchetto. Si nota subito che i due timer sono indipendenti l'uno dall'altro e vi e` la possibilita` di modellare i sender senza duplicare il numero di spazi. -[[./sender_2t.jpg]] -[[./sender_1t.jpg]] +#+CAPTION: Sender protocollo C (due timer) +[[./sender_2t_C.jpg]] +#+CAPTION: Sender protocollo C (un timer) +[[./sender_1t_C.jpg]] La variabile che regola il timeout e` un numero intero uguale o maggiore del piu` grande fra i seguenti valore: - il massimo tempo necessario all'invio di un pacchetto che il sender non ha processato diff --git a/anno3/vpc/consegne/4/4.pdf b/anno3/vpc/consegne/4/4.pdf new file mode 100644 index 0000000000000000000000000000000000000000..8cc84900c2b578d55bc4cbaeeae0927910fe099e GIT binary patch literal 386524 zcmeFZWmsI>wk=w?yIX+Z?(PsgxVs0b;1VPR3+^7=-Q6v?yA|%PK@#*<_CDvHz1O;L zpLNcA_s6^6oqU6;uWB&o=tKHwz4bPrQhq1J#Kz2pNHsOrzl6w3#!6;yYJ(^!h{*EZ z!p_pgij0kqkDKgo7b1(4^+y*ACo&ePk0ve_?<~yh%`Fgxg%O=yoGeUi5#2!r+VasW 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"=== All done. 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z@sTJmx$3eh5^0U&Y9z((QgUe!`9%qxO#`#GtDhG_wV%22iC0gB*Xh?;bFz7G5A_Z6 zK$IqeX7_kkk-{=NuM!SmLW&`W)AK)^tk;5FKXx&k+#(H~-kjWzJ@=S6&J!!-UKDPA zfsEL7G`~i|r^m=0LNO6E#Vdu?d9>W;7^gABtyPv4!G2#u{1ikd{vr^K zZt@fKEAB^ITcw1Nu?H(&RgMGn)^Qb^F5;Irr2SW4b>g#dHN0z2(yfs9A1{qXf4FL|zG?gItChjqlg4YHmC2O;#6#yy}*Ema>Wv z(4O%$>w8)W@d^16 zgHn#>r8uGQ^b7S%LxEi25>u=Y7#8m{ zNPw7o%``aSy%<`vwxX(>o5um#Z)psTVpYp3?Ml}5dVyfiFZKUK!*=ff==Y@7mTP&& z+v@q!JmXKCcH% h*rdfOwVa*u|D4YDAIC`l^PT(um-oN%oFY$${|m;`{~-VX diff --git a/anno3/vpc/consegne/conv/conv.py b/anno3/vpc/consegne/conv/conv.py index e558526..f719637 100644 --- a/anno3/vpc/consegne/conv/conv.py +++ b/anno3/vpc/consegne/conv/conv.py @@ -4,7 +4,7 @@ from sys import argv allsymbols = json.load(open('/home/user/UNITO/anno3/vpc/consegne/conv/unicode-latex.json')) -mysymbols = ['≡', '≠', '≼', '→', '←', '⊀', '⋠', '≺', '∀', 'ε', '₀', '₂', '₁', '₃', '₄', '₅', 'ₐ', 'ₖ', 'ᵥ', 'ₘ', 'ₙ', 'ᵢ', 'ⁱ', '⋮', 'ₛ', 'ₜ', '≃', '⇔', '∧', '∅', 'ℕ', 'ⱼ', 'ʲ', '⊥', 'π', 'α', 'β', '∞', 'σ', '≤', '⊈', '∧', '∨', '∃', '⇒', '∩', '∉', '⋃', 'ᵏ', 'ₗ', 'ˡ', 'ₒ', 'ᵣ', 'ᴵ', '≈', '⊆', '↦', '∪', '⊂', '℘', 'ᶜ', '⁺', 'ⁿ', 'Σ', '⁻', '∑', 'ₚ', 'τ', '↛', '→', '⋍', '∼' ] +mysymbols = ['≡', '≠', '≼', '→', '←', '⊀', '⋠', '≺', '∀', 'ε', '₀', '₂', '₁', '₃', '₄', '₅', 'ₐ', 'ₖ', 'ᵥ', 'ₘ', 'ₙ', 'ᵢ', 'ⁱ', '⋮', 'ₛ', 'ₜ', '≃', '⇔', '∧', '∅', 'ℕ', 'ⱼ', 'ʲ', '⊥', 'π', 'α', 'β', '∞', 'σ', '≤', '⊈', '∧', '∨', '∃', '⇒', '∩', '∉', '⋃', 'ᵏ', 'ₗ', 'ˡ', 'ₒ', 'ᵣ', 'ᴵ', '≈', '⊆', '↦', '∪', '⊂', '℘', 'ᶜ', '⁺', 'ⁿ', 'Σ', '⁻', '∑', 'ₚ', 'τ', '↛', '→', '⋍', '∼', '≥' ] extrasymbols = {'∈': '\in', '〚': '\llbracket', '〛': r'\rrbracket', diff --git a/todo.org b/todo.org index 7e6c118..f11e11b 100644 --- a/todo.org +++ b/todo.org @@ -1,5 +1,6 @@ * TODO VPC [16/20] - [ ] Controlla good latex +- [ ] Uppaal muovi cartella file - [X] chiedi della riduzione - [X] calcolo semiflussi come da mail - [X] chiedi dell'esame

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