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German.m
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173 lines (151 loc) · 4.05 KB
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const
NODE_NUM : 5;
DATA_NUM : 2;
type
NODE : 1..NODE_NUM;
DATA : 1..DATA_NUM;
CACHE_STATE : enum{I, S, E};
CACHE : record State : CACHE_STATE; Data : DATA; end;
MSG_CMD : enum{Empty, ReqS, ReqE, Inv, InvAck, GntS, GntE};
MSG : record Cmd : MSG_CMD; Data : DATA; end;
var
Cache: array [NODE] of CACHE;
Chan1: array [NODE] of MSG;
Chan2: array [NODE] of MSG;
Chan3: array [NODE] of MSG;
ShrSet: array [NODE] of boolean;
InvSet: array [NODE] of boolean;
ExGntd: boolean;
CurCmd: MSG_CMD;
CurPtr: NODE;
MemData: DATA;
AuxData: DATA;
ruleset d: DATA do startstate "Init"
for i: NODE do
Chan1[i].Cmd := Empty;
Chan2[i].Cmd := Empty;
Chan3[i].Cmd := Empty;
Chan1[i].Data := d;
Chan2[i].Data := d;
Chan3[i].Data := d;
Cache[i].State := I;
Cache[i].Data := d;
ShrSet[i] := false;
InvSet[i] := false;
end;
CurCmd := Empty;
ExGntd := false;
MemData := d;
AuxData := d;
endstartstate; endruleset;
ruleset j: NODE do
rule "SendReqS"
Cache[j].State = I & Chan1[j].Cmd = Empty ==>
begin Chan1[j].Cmd := ReqS;
endrule; endruleset;
ruleset i: NODE do
rule "SendReqEI"
(Cache[i].State = I) & Chan1[i].Cmd = Empty ==>
begin Chan1[i].Cmd := ReqE;
endrule; endruleset;
ruleset i: NODE do
rule "SendReqES"
(Cache[i].State = S) & Chan1[i].Cmd = Empty ==>
begin Chan1[i].Cmd := ReqE;
endrule; endruleset;
ruleset i: NODE do
rule "RecvReq"
CurCmd = Empty & Chan1[i].Cmd != Empty ==>
begin CurCmd := Chan1[i].Cmd;
Chan1[i].Cmd := Empty;
CurPtr := i;
for j: NODE do
InvSet[j] := ShrSet[j];
endfor;
endrule; endruleset;
ruleset i: NODE do
rule "SendInvE"
(CurCmd = ReqE)
& InvSet[i] & Chan2[i].Cmd = Empty ==>
begin
Chan2[i].Cmd := Inv;
InvSet[i] := false;
endrule; endruleset;
ruleset i: NODE do
rule "SendInvS"
(CurCmd = ReqS & ExGntd)
& InvSet[i] & Chan2[i].Cmd = Empty ==>
begin
Chan2[i].Cmd := Inv;
InvSet[i] := false;
endrule; endruleset;
ruleset i: NODE do
rule "SendInvAck"
Chan2[i].Cmd = Inv & Chan3[i].Cmd = Empty ==>
begin
Chan2[i].Cmd := Empty;
Chan3[i].Cmd := InvAck;
if (Cache[i].State = E) then Chan3[i].Data := Cache[i].Data; end;
Cache[i].State := I;
endrule; endruleset;
ruleset i: NODE do
rule "RecvInvAck"
CurCmd != Empty & Chan3[i].Cmd = InvAck ==>
begin
ShrSet[i] := false;
if (ExGntd = true)
then ExGntd := false; MemData := Chan3[i].Data; end;
Chan3[i].Cmd := Empty;
endrule; endruleset;
ruleset i: NODE do
rule "SendGntS"
CurCmd = ReqS & CurPtr = i
& !ExGntd & Chan2[i].Cmd = Empty ==>
begin
ShrSet[i] := true;
CurCmd := Empty;
Chan2[i].Cmd := GntS;
Chan2[i].Data := MemData;
endrule; endruleset;
ruleset i: NODE do
rule "SendGntE"
CurCmd = ReqE & CurPtr = i & !ExGntd
& forall j: NODE do ShrSet[j] = false endforall
& Chan2[i].Cmd = Empty ==>
begin
ShrSet[i] := true;
CurCmd := Empty;
ExGntd := true;
Chan2[i].Cmd := GntE;
Chan2[i].Data := MemData;
endrule; endruleset;
ruleset i: NODE do
rule "RecvGntS"
Chan2[i].Cmd = GntS ==>
begin
Cache[i].State := S;
Chan2[i].Cmd := Empty;
Cache[i].Data := Chan2[i].Data;
endrule; endruleset;
ruleset i: NODE do
rule "RecvGntE"
Chan2[i].Cmd = GntE ==>
begin
Cache[i].State := E;
Chan2[i].Cmd := Empty;
Cache[i].Data := Chan2[i].Data;
endrule; endruleset;
ruleset i: NODE; d: DATA do
rule "Store"
Cache[i].State = E ==>
begin
Cache[i].Data := d;
AuxData := d;
endrule; endruleset;
ruleset i: NODE; j: NODE do
invariant "CntrlProp"
i != j -> (Cache[i].State = E -> Cache[j].State != E);
endruleset;
invariant "DataProp"
( ExGntd = false -> MemData = AuxData ) &
forall i : NODE do Cache[i].State != I -> Cache[i].Data = AuxData end;