documentation: Distinguish between local and global transitivity
The introduction of smp_load_acquire() and smp_store_release() had the side effect of introducing a weaker notion of transitivity: The transitivity of full smp_mb() barriers is global, but that of smp_store_release()/smp_load_acquire() chains is local. This commit therefore introduces the notion of local transitivity and gives an example. Reported-by: Peter Zijlstra <peterz@infradead.org> Reported-by: Will Deacon <will.deacon@arm.com> Signed-off-by: Paul E. McKenney <paulmck@linux.vnet.ibm.com>
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@ -1318,8 +1318,82 @@ or a level of cache, CPU 2 might have early access to CPU 1's writes.
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General barriers are therefore required to ensure that all CPUs agree
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on the combined order of CPU 1's and CPU 2's accesses.
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To reiterate, if your code requires transitivity, use general barriers
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throughout.
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General barriers provide "global transitivity", so that all CPUs will
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agree on the order of operations. In contrast, a chain of release-acquire
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pairs provides only "local transitivity", so that only those CPUs on
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the chain are guaranteed to agree on the combined order of the accesses.
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For example, switching to C code in deference to Herman Hollerith:
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int u, v, x, y, z;
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void cpu0(void)
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{
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r0 = smp_load_acquire(&x);
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WRITE_ONCE(u, 1);
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smp_store_release(&y, 1);
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}
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void cpu1(void)
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{
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r1 = smp_load_acquire(&y);
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r4 = READ_ONCE(v);
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r5 = READ_ONCE(u);
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smp_store_release(&z, 1);
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}
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void cpu2(void)
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{
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r2 = smp_load_acquire(&z);
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smp_store_release(&x, 1);
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}
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void cpu3(void)
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{
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WRITE_ONCE(v, 1);
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smp_mb();
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r3 = READ_ONCE(u);
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}
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Because cpu0(), cpu1(), and cpu2() participate in a local transitive
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chain of smp_store_release()/smp_load_acquire() pairs, the following
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outcome is prohibited:
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r0 == 1 && r1 == 1 && r2 == 1
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Furthermore, because of the release-acquire relationship between cpu0()
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and cpu1(), cpu1() must see cpu0()'s writes, so that the following
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outcome is prohibited:
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r1 == 1 && r5 == 0
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However, the transitivity of release-acquire is local to the participating
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CPUs and does not apply to cpu3(). Therefore, the following outcome
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is possible:
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r0 == 0 && r1 == 1 && r2 == 1 && r3 == 0 && r4 == 0
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Although cpu0(), cpu1(), and cpu2() will see their respective reads and
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writes in order, CPUs not involved in the release-acquire chain might
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well disagree on the order. This disagreement stems from the fact that
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the weak memory-barrier instructions used to implement smp_load_acquire()
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and smp_store_release() are not required to order prior stores against
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subsequent loads in all cases. This means that cpu3() can see cpu0()'s
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store to u as happening -after- cpu1()'s load from v, even though
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both cpu0() and cpu1() agree that these two operations occurred in the
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intended order.
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However, please keep in mind that smp_load_acquire() is not magic.
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In particular, it simply reads from its argument with ordering. It does
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-not- ensure that any particular value will be read. Therefore, the
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following outcome is possible:
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r0 == 0 && r1 == 0 && r2 == 0 && r5 == 0
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Note that this outcome can happen even on a mythical sequentially
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consistent system where nothing is ever reordered.
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To reiterate, if your code requires global transitivity, use general
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barriers throughout.
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========================
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