11c27b644SPaul E. McKenney// SPDX-License-Identifier: GPL-2.0+ 21c27b644SPaul E. McKenney(* 31c27b644SPaul E. McKenney * Copyright (C) 2015 Jade Alglave <j.alglave@ucl.ac.uk>, 41c27b644SPaul E. McKenney * Copyright (C) 2016 Luc Maranget <luc.maranget@inria.fr> for Inria 51c27b644SPaul E. McKenney * Copyright (C) 2017 Alan Stern <stern@rowland.harvard.edu>, 61c27b644SPaul E. McKenney * Andrea Parri <parri.andrea@gmail.com> 71c27b644SPaul E. McKenney * 81a00b455SAndrea Parri * An earlier version of this file appeared in the companion webpage for 91c27b644SPaul E. McKenney * "Frightening small children and disconcerting grown-ups: Concurrency 101c27b644SPaul E. McKenney * in the Linux kernel" by Alglave, Maranget, McKenney, Parri, and Stern, 111a00b455SAndrea Parri * which appeared in ASPLOS 2018. 121c27b644SPaul E. McKenney *) 131c27b644SPaul E. McKenney 1448d44d4eSAndrea Parri"Linux-kernel memory consistency model" 151c27b644SPaul E. McKenney 161c27b644SPaul E. McKenney(* 171c27b644SPaul E. McKenney * File "lock.cat" handles locks and is experimental. 181c27b644SPaul E. McKenney * It can be replaced by include "cos.cat" for tests that do not use locks. 191c27b644SPaul E. McKenney *) 201c27b644SPaul E. McKenney 211c27b644SPaul E. McKenneyinclude "lock.cat" 221c27b644SPaul E. McKenney 231c27b644SPaul E. McKenney(*******************) 241c27b644SPaul E. McKenney(* Basic relations *) 251c27b644SPaul E. McKenney(*******************) 261c27b644SPaul E. McKenney 274494dd58SAlan Stern(* Release Acquire *) 284494dd58SAlan Sternlet acq-po = [Acquire] ; po ; [M] 294494dd58SAlan Sternlet po-rel = [M] ; po ; [Release] 304494dd58SAlan Sternlet po-unlock-rf-lock-po = po ; [UL] ; rf ; [LKR] ; po 314494dd58SAlan Stern 321c27b644SPaul E. McKenney(* Fences *) 334494dd58SAlan Sternlet R4rmb = R \ Noreturn (* Reads for which rmb works *) 344494dd58SAlan Sternlet rmb = [R4rmb] ; fencerel(Rmb) ; [R4rmb] 351c27b644SPaul E. McKenneylet wmb = [W] ; fencerel(Wmb) ; [W] 361c27b644SPaul E. McKenneylet mb = ([M] ; fencerel(Mb) ; [M]) | 37cac79a39SPaul E. McKenney ([M] ; fencerel(Before-atomic) ; [RMW] ; po? ; [M]) | 38cac79a39SPaul E. McKenney ([M] ; po? ; [RMW] ; fencerel(After-atomic) ; [M]) | 395b735eb1SAndrea Parri ([M] ; po? ; [LKW] ; fencerel(After-spinlock) ; [M]) | 405b735eb1SAndrea Parri ([M] ; po ; [UL] ; (co | po) ; [LKW] ; 415b735eb1SAndrea Parri fencerel(After-unlock-lock) ; [M]) 42a3f600d9SAlan Sternlet gp = po ; [Sync-rcu | Sync-srcu] ; po? 431c27b644SPaul E. McKenneylet strong-fence = mb | gp 441c27b644SPaul E. McKenney 454494dd58SAlan Sternlet nonrw-fence = strong-fence | po-rel | acq-po 464494dd58SAlan Sternlet fence = nonrw-fence | wmb | rmb 47*0031e38aSAlan Sternlet barrier = fencerel(Barrier | Rmb | Wmb | Mb | Sync-rcu | Sync-srcu | 48*0031e38aSAlan Stern Before-atomic | After-atomic | Acquire | Release) | 49*0031e38aSAlan Stern (po ; [Release]) | ([Acquire] ; po) 501c27b644SPaul E. McKenney 511c27b644SPaul E. McKenney(**********************************) 521c27b644SPaul E. McKenney(* Fundamental coherence ordering *) 531c27b644SPaul E. McKenney(**********************************) 541c27b644SPaul E. McKenney 551c27b644SPaul E. McKenney(* Sequential Consistency Per Variable *) 561c27b644SPaul E. McKenneylet com = rf | co | fr 571c27b644SPaul E. McKenneyacyclic po-loc | com as coherence 581c27b644SPaul E. McKenney 591c27b644SPaul E. McKenney(* Atomic Read-Modify-Write *) 601c27b644SPaul E. McKenneyempty rmw & (fre ; coe) as atomic 611c27b644SPaul E. McKenney 621c27b644SPaul E. McKenney(**********************************) 631c27b644SPaul E. McKenney(* Instruction execution ordering *) 641c27b644SPaul E. McKenney(**********************************) 651c27b644SPaul E. McKenney 661c27b644SPaul E. McKenney(* Preserved Program Order *) 671c27b644SPaul E. McKenneylet dep = addr | data 681c27b644SPaul E. McKenneylet rwdep = (dep | ctrl) ; [W] 691c27b644SPaul E. McKenneylet overwrite = co | fr 70*0031e38aSAlan Sternlet to-w = rwdep | (overwrite & int) | (addr ; [Plain] ; wmb) 71d1a84ab1SAlan Sternlet to-r = addr | (dep ; [Marked] ; rfi) 726e89e831SAlan Sternlet ppo = to-r | to-w | fence | (po-unlock-rf-lock-po & int) 731c27b644SPaul E. McKenney 741c27b644SPaul E. McKenney(* Propagation: Ordering from release operations and strong fences. *) 75d1a84ab1SAlan Sternlet A-cumul(r) = (rfe ; [Marked])? ; r 76d1a84ab1SAlan Sternlet cumul-fence = [Marked] ; (A-cumul(strong-fence | po-rel) | wmb | 77d1a84ab1SAlan Stern po-unlock-rf-lock-po) ; [Marked] 78d1a84ab1SAlan Sternlet prop = [Marked] ; (overwrite & ext)? ; cumul-fence* ; 79d1a84ab1SAlan Stern [Marked] ; rfe? ; [Marked] 801c27b644SPaul E. McKenney 811c27b644SPaul E. McKenney(* 821c27b644SPaul E. McKenney * Happens Before: Ordering from the passage of time. 831c27b644SPaul E. McKenney * No fences needed here for prop because relation confined to one process. 841c27b644SPaul E. McKenney *) 85d1a84ab1SAlan Sternlet hb = [Marked] ; (ppo | rfe | ((prop \ id) & int)) ; [Marked] 861c27b644SPaul E. McKenneyacyclic hb as happens-before 871c27b644SPaul E. McKenney 881c27b644SPaul E. McKenney(****************************************) 891c27b644SPaul E. McKenney(* Write and fence propagation ordering *) 901c27b644SPaul E. McKenney(****************************************) 911c27b644SPaul E. McKenney 921c27b644SPaul E. McKenney(* Propagation: Each non-rf link needs a strong fence. *) 93d1a84ab1SAlan Sternlet pb = prop ; strong-fence ; hb* ; [Marked] 941c27b644SPaul E. McKenneyacyclic pb as propagation 951c27b644SPaul E. McKenney 961c27b644SPaul E. McKenney(*******) 971c27b644SPaul E. McKenney(* RCU *) 981c27b644SPaul E. McKenney(*******) 991c27b644SPaul E. McKenney 1001c27b644SPaul E. McKenney(* 101284749b0SAlan Stern * Effects of read-side critical sections proceed from the rcu_read_unlock() 102a3f600d9SAlan Stern * or srcu_read_unlock() backwards on the one hand, and from the 103a3f600d9SAlan Stern * rcu_read_lock() or srcu_read_lock() forwards on the other hand. 104284749b0SAlan Stern * 105284749b0SAlan Stern * In the definition of rcu-fence below, the po term at the left-hand side 106284749b0SAlan Stern * of each disjunct and the po? term at the right-hand end have been factored 107284749b0SAlan Stern * out. They have been moved into the definitions of rcu-link and rb. 108a3f600d9SAlan Stern * This was necessary in order to apply the "& loc" tests correctly. 1091c27b644SPaul E. McKenney *) 110284749b0SAlan Sternlet rcu-gp = [Sync-rcu] (* Compare with gp *) 111a3f600d9SAlan Sternlet srcu-gp = [Sync-srcu] 112284749b0SAlan Sternlet rcu-rscsi = rcu-rscs^-1 113a3f600d9SAlan Sternlet srcu-rscsi = srcu-rscs^-1 1141c27b644SPaul E. McKenney 1151c27b644SPaul E. McKenney(* 1161c27b644SPaul E. McKenney * The synchronize_rcu() strong fence is special in that it can order not 1171c27b644SPaul E. McKenney * one but two non-rf relations, but only in conjunction with an RCU 1181c27b644SPaul E. McKenney * read-side critical section. 1191c27b644SPaul E. McKenney *) 120284749b0SAlan Sternlet rcu-link = po? ; hb* ; pb* ; prop ; po 1211c27b644SPaul E. McKenney 1221c27b644SPaul E. McKenney(* 1239d036883SAlan Stern * Any sequence containing at least as many grace periods as RCU read-side 1249d036883SAlan Stern * critical sections (joined by rcu-link) acts as a generalized strong fence. 125a3f600d9SAlan Stern * Likewise for SRCU grace periods and read-side critical sections, provided 126a3f600d9SAlan Stern * the synchronize_srcu() and srcu_read_[un]lock() calls refer to the same 127a3f600d9SAlan Stern * struct srcu_struct location. 1281c27b644SPaul E. McKenney *) 129a3f600d9SAlan Sternlet rec rcu-fence = rcu-gp | srcu-gp | 130284749b0SAlan Stern (rcu-gp ; rcu-link ; rcu-rscsi) | 131a3f600d9SAlan Stern ((srcu-gp ; rcu-link ; srcu-rscsi) & loc) | 132284749b0SAlan Stern (rcu-rscsi ; rcu-link ; rcu-gp) | 133a3f600d9SAlan Stern ((srcu-rscsi ; rcu-link ; srcu-gp) & loc) | 134284749b0SAlan Stern (rcu-gp ; rcu-link ; rcu-fence ; rcu-link ; rcu-rscsi) | 135a3f600d9SAlan Stern ((srcu-gp ; rcu-link ; rcu-fence ; rcu-link ; srcu-rscsi) & loc) | 136284749b0SAlan Stern (rcu-rscsi ; rcu-link ; rcu-fence ; rcu-link ; rcu-gp) | 137a3f600d9SAlan Stern ((srcu-rscsi ; rcu-link ; rcu-fence ; rcu-link ; srcu-gp) & loc) | 1389d036883SAlan Stern (rcu-fence ; rcu-link ; rcu-fence) 1399d036883SAlan Stern 1409d036883SAlan Stern(* rb orders instructions just as pb does *) 141d1a84ab1SAlan Sternlet rb = prop ; po ; rcu-fence ; po? ; hb* ; pb* ; [Marked] 1421c27b644SPaul E. McKenney 1431ee2da5fSAlan Sternirreflexive rb as rcu 1449d036883SAlan Stern 1459d036883SAlan Stern(* 1469d036883SAlan Stern * The happens-before, propagation, and rcu constraints are all 1479d036883SAlan Stern * expressions of temporal ordering. They could be replaced by 1489d036883SAlan Stern * a single constraint on an "executes-before" relation, xb: 1499d036883SAlan Stern * 1509d036883SAlan Stern * let xb = hb | pb | rb 1519d036883SAlan Stern * acyclic xb as executes-before 1529d036883SAlan Stern *) 153*0031e38aSAlan Stern 154*0031e38aSAlan Stern(*********************************) 155*0031e38aSAlan Stern(* Plain accesses and data races *) 156*0031e38aSAlan Stern(*********************************) 157*0031e38aSAlan Stern 158*0031e38aSAlan Stern(* Warn about plain writes and marked accesses in the same region *) 159*0031e38aSAlan Sternlet mixed-accesses = ([Plain & W] ; (po-loc \ barrier) ; [Marked]) | 160*0031e38aSAlan Stern ([Marked] ; (po-loc \ barrier) ; [Plain & W]) 161*0031e38aSAlan Sternflag ~empty mixed-accesses as mixed-accesses 162*0031e38aSAlan Stern 163*0031e38aSAlan Stern(* Executes-before and visibility *) 164*0031e38aSAlan Sternlet xbstar = (hb | pb | rb)* 165*0031e38aSAlan Sternlet full-fence = strong-fence | (po ; rcu-fence ; po?) 166*0031e38aSAlan Sternlet vis = cumul-fence* ; rfe? ; [Marked] ; 167*0031e38aSAlan Stern ((full-fence ; [Marked] ; xbstar) | (xbstar & int)) 168*0031e38aSAlan Stern 169*0031e38aSAlan Stern(* Boundaries for lifetimes of plain accesses *) 170*0031e38aSAlan Sternlet w-pre-bounded = [Marked] ; (addr | fence)? 171*0031e38aSAlan Sternlet r-pre-bounded = [Marked] ; (addr | nonrw-fence | 172*0031e38aSAlan Stern ([R4rmb] ; fencerel(Rmb) ; [~Noreturn]))? 173*0031e38aSAlan Sternlet w-post-bounded = fence? ; [Marked] 174*0031e38aSAlan Sternlet r-post-bounded = (nonrw-fence | ([~Noreturn] ; fencerel(Rmb) ; [R4rmb]))? ; 175*0031e38aSAlan Stern [Marked] 176*0031e38aSAlan Stern 177*0031e38aSAlan Stern(* Visibility and executes-before for plain accesses *) 178*0031e38aSAlan Sternlet ww-vis = w-post-bounded ; vis ; w-pre-bounded 179*0031e38aSAlan Sternlet wr-vis = w-post-bounded ; vis ; r-pre-bounded 180*0031e38aSAlan Sternlet rw-xbstar = r-post-bounded ; xbstar ; w-pre-bounded 181*0031e38aSAlan Stern 182*0031e38aSAlan Stern(* Potential races *) 183*0031e38aSAlan Sternlet pre-race = ext & ((Plain * M) | ((M \ IW) * Plain)) 184*0031e38aSAlan Stern 185*0031e38aSAlan Stern(* Coherence requirements for plain accesses *) 186*0031e38aSAlan Sternlet wr-incoh = pre-race & rf & rw-xbstar^-1 187*0031e38aSAlan Sternlet rw-incoh = pre-race & fr & wr-vis^-1 188*0031e38aSAlan Sternlet ww-incoh = pre-race & co & ww-vis^-1 189*0031e38aSAlan Sternempty (wr-incoh | rw-incoh | ww-incoh) as plain-coherence 190*0031e38aSAlan Stern 191*0031e38aSAlan Stern(* Actual races *) 192*0031e38aSAlan Sternlet ww-nonrace = ww-vis & ((Marked * W) | rw-xbstar) & ((W * Marked) | wr-vis) 193*0031e38aSAlan Sternlet ww-race = (pre-race & co) \ ww-nonrace 194*0031e38aSAlan Sternlet wr-race = (pre-race & (co? ; rf)) \ wr-vis 195*0031e38aSAlan Sternlet rw-race = (pre-race & fr) \ rw-xbstar 196*0031e38aSAlan Stern 197*0031e38aSAlan Sternflag ~empty (ww-race | wr-race | rw-race) as data-race 198