|  | // SPDX-License-Identifier: GPL-2.0+ | 
|  | (* | 
|  | * Copyright (C) 2015 Jade Alglave <j.alglave@ucl.ac.uk>, | 
|  | * Copyright (C) 2016 Luc Maranget <luc.maranget@inria.fr> for Inria | 
|  | * Copyright (C) 2017 Alan Stern <stern@rowland.harvard.edu>, | 
|  | *                    Andrea Parri <parri.andrea@gmail.com> | 
|  | * | 
|  | * An earlier version of this file appeared in the companion webpage for | 
|  | * "Frightening small children and disconcerting grown-ups: Concurrency | 
|  | * in the Linux kernel" by Alglave, Maranget, McKenney, Parri, and Stern, | 
|  | * which appeared in ASPLOS 2018. | 
|  | *) | 
|  |  | 
|  | "Linux-kernel memory consistency model" | 
|  |  | 
|  | (* | 
|  | * File "lock.cat" handles locks and is experimental. | 
|  | * It can be replaced by include "cos.cat" for tests that do not use locks. | 
|  | *) | 
|  |  | 
|  | include "lock.cat" | 
|  |  | 
|  | (*******************) | 
|  | (* Basic relations *) | 
|  | (*******************) | 
|  |  | 
|  | (* Fences *) | 
|  | let rmb = [R \ Noreturn] ; fencerel(Rmb) ; [R \ Noreturn] | 
|  | let wmb = [W] ; fencerel(Wmb) ; [W] | 
|  | let mb = ([M] ; fencerel(Mb) ; [M]) | | 
|  | ([M] ; fencerel(Before-atomic) ; [RMW] ; po? ; [M]) | | 
|  | ([M] ; po? ; [RMW] ; fencerel(After-atomic) ; [M]) | | 
|  | ([M] ; po? ; [LKW] ; fencerel(After-spinlock) ; [M]) | 
|  | let gp = po ; [Sync-rcu] ; po? | 
|  |  | 
|  | let strong-fence = mb | gp | 
|  |  | 
|  | (* Release Acquire *) | 
|  | let acq-po = [Acquire] ; po ; [M] | 
|  | let po-rel = [M] ; po ; [Release] | 
|  | let rfi-rel-acq = [Release] ; rfi ; [Acquire] | 
|  |  | 
|  | (**********************************) | 
|  | (* Fundamental coherence ordering *) | 
|  | (**********************************) | 
|  |  | 
|  | (* Sequential Consistency Per Variable *) | 
|  | let com = rf | co | fr | 
|  | acyclic po-loc | com as coherence | 
|  |  | 
|  | (* Atomic Read-Modify-Write *) | 
|  | empty rmw & (fre ; coe) as atomic | 
|  |  | 
|  | (**********************************) | 
|  | (* Instruction execution ordering *) | 
|  | (**********************************) | 
|  |  | 
|  | (* Preserved Program Order *) | 
|  | let dep = addr | data | 
|  | let rwdep = (dep | ctrl) ; [W] | 
|  | let overwrite = co | fr | 
|  | let to-w = rwdep | (overwrite & int) | 
|  | let to-r = addr | (dep ; rfi) | rfi-rel-acq | 
|  | let fence = strong-fence | wmb | po-rel | rmb | acq-po | 
|  | let ppo = to-r | to-w | fence | 
|  |  | 
|  | (* Propagation: Ordering from release operations and strong fences. *) | 
|  | let A-cumul(r) = rfe? ; r | 
|  | let cumul-fence = A-cumul(strong-fence | po-rel) | wmb | 
|  | let prop = (overwrite & ext)? ; cumul-fence* ; rfe? | 
|  |  | 
|  | (* | 
|  | * Happens Before: Ordering from the passage of time. | 
|  | * No fences needed here for prop because relation confined to one process. | 
|  | *) | 
|  | let hb = ppo | rfe | ((prop \ id) & int) | 
|  | acyclic hb as happens-before | 
|  |  | 
|  | (****************************************) | 
|  | (* Write and fence propagation ordering *) | 
|  | (****************************************) | 
|  |  | 
|  | (* Propagation: Each non-rf link needs a strong fence. *) | 
|  | let pb = prop ; strong-fence ; hb* | 
|  | acyclic pb as propagation | 
|  |  | 
|  | (*******) | 
|  | (* RCU *) | 
|  | (*******) | 
|  |  | 
|  | (* | 
|  | * Effect of read-side critical section proceeds from the rcu_read_lock() | 
|  | * onward on the one hand and from the rcu_read_unlock() backwards on the | 
|  | * other hand. | 
|  | *) | 
|  | let rscs = po ; crit^-1 ; po? | 
|  |  | 
|  | (* | 
|  | * The synchronize_rcu() strong fence is special in that it can order not | 
|  | * one but two non-rf relations, but only in conjunction with an RCU | 
|  | * read-side critical section. | 
|  | *) | 
|  | let rcu-link = hb* ; pb* ; prop | 
|  |  | 
|  | (* | 
|  | * Any sequence containing at least as many grace periods as RCU read-side | 
|  | * critical sections (joined by rcu-link) acts as a generalized strong fence. | 
|  | *) | 
|  | let rec rcu-fence = gp | | 
|  | (gp ; rcu-link ; rscs) | | 
|  | (rscs ; rcu-link ; gp) | | 
|  | (gp ; rcu-link ; rcu-fence ; rcu-link ; rscs) | | 
|  | (rscs ; rcu-link ; rcu-fence ; rcu-link ; gp) | | 
|  | (rcu-fence ; rcu-link ; rcu-fence) | 
|  |  | 
|  | (* rb orders instructions just as pb does *) | 
|  | let rb = prop ; rcu-fence ; hb* ; pb* | 
|  |  | 
|  | irreflexive rb as rcu | 
|  |  | 
|  | (* | 
|  | * The happens-before, propagation, and rcu constraints are all | 
|  | * expressions of temporal ordering.  They could be replaced by | 
|  | * a single constraint on an "executes-before" relation, xb: | 
|  | * | 
|  | * let xb = hb | pb | rb | 
|  | * acyclic xb as executes-before | 
|  | *) |