module ARCH_7B (FUNCTIONS, CHANNELS, VARIABLE, VARIABLE_ARRAY, TUPLE_ARRAY, MESI_CACHE, VIRTUAL) is ------------------------------------------------------------------------------- -- Architecture of systems communicating by means of 3*N + 1 shared variables, -- 3*N of which are represented as the cells a[0], ..., a[N-1], c[0], ..., -- c[N-1], and d[0], ..., d[N-1] of three N-variable arrays, the (3*N + 1)th -- variable being represented by a separate process. -- The two arrays c and d are grouped, such that the i-th values of both can be -- read atomically (this is required for instance by the black-white bakery -- protocol [Taubenfeld-04]). ------------------------------------------------------------------------------- process Arch_7b [NCS: Pid, CS: Access, A, B, C, D: Operation, MU: Latency] is par NCS, CS, A, B, C, D in Protocol [NCS, CS, A, B, C, D] || L [NCS, CS, A, B, C, D, MU] end par end process ------------------------------------------------------------------------------- -- Auxiliary process for compositional generation: protocol without latencies ------------------------------------------------------------------------------- process Protocol [NCS: Pid, CS: Access, A, B, C, D: Operation] is par A, B, C, D in par P [NCS, CS, A, B, C, D] (0 of Pid) || P [NCS, CS, A, B, C, D] (1 of Pid) || P [NCS, CS, A, B, C, D] (2 of Pid) || P [NCS, CS, A, B, C, D] (3 of Pid) || P [NCS, CS, A, B, C, D] (4 of Pid) end par || par Variable_Array [A] (0 of Nat) || Tuple_Array [C, D] (0 of Nat, 0 of Nat) || Variable [B] (0 of Nat) end par end par end process ------------------------------------------------------------------------------- -- Auxiliary process for inserting latencies ------------------------------------------------------------------------------- process L [NCS: Pid, CS: Access, A, B, C, D: Operation, MU: Latency] is var a, cd: Cache_Array, a_i, cd_i, b: Cache, index, pid: Pid, acc: Access, op: Operation, cop: Cached_Operation in a := cache_array (cache (Invalid)); b := cache (Invalid); cd := cache_array (cache (Invalid)); loop alt A (?op, ?index, ?any Nat, ?pid); a_i := a[Nat (index)]; cop := update_caches (pid, op, !?a_i); a[Nat (index)] := a_i; MU (cop, pid) [] B (?op, ?any Nat, ?pid); cop := update_caches (pid, op, !?b); MU (cop, pid) [] C (Read, ?index, ?any Nat, ?any Nat, ?pid); cd_i := cd[Nat (index)]; cop := update_caches (pid, Read, !?cd_i); cd[Nat (index)] := cd_i; MU (cop, pid) [] C (Write, ?index, ?any Nat, ?pid); cd_i := cd[Nat (index)]; cop := update_caches (pid, Write, !?cd_i); cd[Nat (index)] := cd_i; MU (cop, pid) [] D (Write, ?index, ?any Nat, ?pid); cd_i := cd[Nat (index)]; cop := update_caches (pid, Write, !?cd_i); cd[Nat (index)] := cd_i; MU (cop, pid) [] CS (?acc, ?pid); if acc == Enter then MU (acc, pid) end if [] NCS (?pid); MU (Work, pid) end alt end loop end var end process end module