Reach Scheduling for Embedded Systems
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Reach Scheduling for Embedded Systems Gregor Gössler. N° 5651 Août 2005. N 0249-6399. ISRN INRIA/RR--5651--FR+ENG. Thème COM. apport de recherche.
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(173) ZEbj^SU<bfC0^RQaM QiUEx<VjZp^\ZpW2QiCC[ *WAX¥[CHB%U2OaQTU<W2QS^iU[C0^OSMNW<Qi>AC0OSXYOZ[x<U[^iXQi>AB O¦XQ*ZpU*O_QSUTU[WfOaQi^SVjTQ?Z%TU<W2QS^iU[C0^ WjZ<TUpQiQmXU<`aVjW.OaQ_QS>fx<ZVjQZp^\XOhZpW2U<QiWACCM.XWA¥Nx*WA^iUC0Z<T\W">jZpZpjQhX^iXVAQaW2MhQSU[XBmOSC[U[ BKNCC0OSTCU[QWjUpg4OaXQ\QZQiTC0U[O0WjORAQS^iVPVjQTUpQ\fOhQSZ>ACOSCOSQCQU[UpfVAORWNQiZpAQSUPC:OT\¥2C0XWjWAZpxdjOSXT\WA>jxC0gPORU<VABC0CO >jU<OSCVAWNAUNT\¥NXWAx5U<^igAC^\OuZp^iCUPTZp QSU5QS>ACTU<BbfU<WACW2QiO0" ¦Z[T\>.U[QS>AC%VAWNAUPT\¥2XWAx5OiT\>AC:gPVAC0OXO XWªT\>jZp^ix[CEUpgAU[XWAxZ
(174) XBXQSC0gªZ[B%U<VAW2QHU[U[^i¥4mWfZpBCM7VAWNAUNT\¥NXWAxdZOSbmC0T X !fTZ[TQSXU[W"VAWjgPC0^hZ OSbmC0T X !fThTU<WjgPXQSXU[WjfCU[^iCHC0WjZpjXWAx ZpWAU[QS>AC0^VAWNAUNT\¥NXWAxOST\>AC:gPVAC[ =?>ACETU[WfOaQi^SVjTQSXU[WdUpQi>ACVAWNAUPT\¥NXWAx§OiT\>AC:gPVAC0O*Z[WjgQS>ACEORVAfORC:<VjCW2QTU<WjOSXORQSC0WjTMT\>AC0T\¥Zp^iC Qi>AC*BU[^iC?C£PbmCWjOSX¨<CbjZp^SQ02ZpWjg%bA^iCTU<BbAVPQSC:g(cuOQi>AC*BCQi>AUPgPU[U[x<MXO_jZ[OSC0g%U[W Z[WZ[jORQS^\Z[TQiXU<W U[QS>AC%ORMPORQSC0BmC>fZ©¨2XU[^:jXQhBZ©MmCEbmC0OiORXBXORQSXYTXW7Qi>ACEOSCWjOSCQi>jZQQS>AC%>NMNbfU[QS>AC:ORXYO*B Z©MdWAUpQHfC OiZQiXO !jC:g
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(185) uZ[^SC?U<WAMECWjZ[AC0gEX XOXW§ORQiZQi C Z[Wj!g "# $j<^iC0OSbmC0TQiX¨<C M 9 % #$& '(')"ZpWj*g #$& #' ')Zp^iCgPXYOiZpAC0g
(186) Z[OU<WAxEZ<OQS>AChUpQi>AC^ bj^SUPTC:OSOSC0O?XYO*^iVAWAWjXWAxffZ[Wj+g "',hXYOugPXYOiZpAC0gd>AXCWAU§bA^iUPTC:OSO?XYO*^iVAWAWAXWAxf 0¤CQi>2VfO*>jZ©¨<C Qi>AC^iC0ORQS^iXYTQSXU[W U = sched.enable1 U = sched.enable2 U = ¬c2.running N p Z f W g 4 ) * V. [ U ^ [ Z m p U i Q A > C ^ U = c1.running ∨ c2.running U = Z<TQiXU<WjO a = ¬c1.running U cT0TU[^\gPXWAxHQSUgPC !jWAXQSXU[Wd;q -Qi>AC^iC*Zp^iCORX£EVAWNAUPT\¥NXWAxOiT\>AC0gAVAC:O <CU[BXQQS>ACbA^iCTU<WjgPXQSXU[WjO U[QS>ACdgPMNWjZ[B%XYT§bj^SXU[^iXQiXC:OU<^QS>jCOiZp¥<C§Up*^iC0Z<gAZpAXXQaM > $ unblock(c1.run) = ¬c1.running ∧ sched.enabled1, {sched.choose2 ≺ sched.choose1, c1.run ≺ sched.choose1, QS>jZpQXYO0c1.run XW U<≺^igPC0^5QiU ^iC0Z<T\> sched.enable1, c1.run ≺ sched.enable2, c1.run ≺ sched.done} ZpWfg
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(188) 2Ax<X¨<Cbj^SXU[^iXQaM§QSU #'('")uU¨<C^ ¬c1.running % #$& '(')$∧j)sched.enabled1 KNXBXYZp^iM[ unblock(c2.run) = ¬c2.running ∧ sched.enabled2, {sched.choose1 ≺ sched.choose2, c2.run c2.run ≺ sched.enable1, c2.run ≺ sched.enable2, ≺7Asched.choose2, V A^SQS>AC0^SBU<^SC< unblock(sched.choose1) c2.run ≺ sched.done} = ¬c2.running ∧ sched.idle, {sched.choose1 ≺ c2.stop} unblock(sched.choose2) = ¬c1.running ∧ sched.idle, jZpWfg unblock(sched.done) = c1.running ∧ sched.enabled, {sched.choose2 ≺ c1.stop} =?>AC0^SCU[^iC {sched.done ≺ c1.run} , c2.running ∧ sched.enabled, {sched.done ≺ c2.run} Qi>AC^iCXYOuZQC:Z[ORQ*U[WACVjWAUPT\¥NXWAx U[^\gPC^?U<^uC:Z[T\>d^SC:OaQi^SXYTQiC0gdZ[TQSXU[W?=?>ACVjW2jUPT\¥NXWjx§gPU[B ZpXWjOU[ Z[(VjW2jUPT\¥NXWjxOiT\>AC:gPVAC0OZp^iC )4* VPQS>jZpQ*XO0PQi>ACM5Z[bAbAM§QiUZ[ORQiZpQSC:O alive. a 0. c1.run. sched.choose2. YZY\[]V^*_*^O`. c2.run. sched.done. sched.choose1 a.
(189) q©t. (''*QB. idle. choose1 not running. stop. choose2. chosen1. chosen2 enable1 enable2. run done. stop. enabled2. 7)Xx[VA^iCEq/$¦KPT\>AC:gPVAC^XQS>QaUbA^iUPTC:OSOSC0O0. c1. run. done enabled1. running. not running. sched. running. c2. CQVjO>fZ©¨[C§Qi>ACdZpx[U[^iXQS>ABVAWNAUNT\¥ $,
(190) ^iU[B =?>ACdTU<WP x = sched.idle ∧ c1.running ORQS^iVjTQSC0gOSC02VACWfTChUpOST\>jC0gPVAXWAx gPC0TXOSXU<WjOXO%$ q[ s (x, c2.run) = c, {sched.choose1 ≺ sched.choose2, c2.run ≺ sched.choose2}, s(x, c2.run) = c, {sched.choose1 ≺ sched.choose2, c2.run ≺ sched.choose2}, >AC^iC cuO QS>AC7^iC02VAC:OaQiC0g Z[TQiXU<W {sched.choose2} #'('")XYO?WAU[Q*CWjZ[AcC:=g(NQSsched.enabled2 >jCx[U<Z[4Up)QS>AC∧WAC¬c2.running £NQuOST\>AC:gPVAXWjx%gPC:TXYORXU[WXYO?QSUCWfZpACXQ $ tP s (x, c2.run) = s (x, sched.choose2) = c , {sched.choose1 ≺ sched.choose2, c2.run ≺ 0. 1. 0. 0. sched.choose2} ⊕ {sched.choose2 ≺ c1.stop}, s(x, sched.choose2) = c0 , {sched.choose1 ≺ sched.choose2, c2.run ≺ sched.choose2, ≺ c1.stop, sched.choose2 c2.run ≺ c1.stop, sched.choose1 ≺ c1.stop}, {c1.stop} c0 = sched.idle ∧ ! ' $! s1 (x, c2.run) ¬c1.running 0 x = sched.idle ∧ ¬c1.running. >AC0^SC cTQiXU<W uXYO¦C0WjZpAC0g Z[Wjg j^iC0g)=?>ACHOST\>jC0gPVAXWAxgPC:TXYORXU[W >jZ[O?WjU C0g
(191) QS>ACOSMPOaQiCB QiU§OaQ\ZQiC -A s (x , c2.run) = c, {sched.choose1 ≺ sched.choose2, c2.run ≺ sched.choose2}, #'('") XYO !j^iC0g(C:Z[gPXWAx Qi>AC ORMPORQSCBQiU {sched.choose2} x = sched.chosen2 ∧ ¬c1.running Tj s (x , c2.run) = c, {c2.run ≺ sched.enable2}, {sched.enable2} * $
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(194) Qi>ACHbA^SXU[^iXQaM {sched.choose1 Up)OST\>AC:gPVAXWjx%gPC:TXYORXU[W ≺ sched.choose2, sched.choose1 ≺ c1.stop} [ U j V ¤ g j > © Z < ¨ % C j b S ^ 0 C [ ¨ C 2 W i Q 0 C g S Q A > C !f^SXWAxdUp j > X \ T ª > U[VAYg¤fC Qi>AC ^iU[WAx sgAC0(x, TXYOSXc2.run) U<W
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(206) bmU<OiOSXACZp^\T\>AXQiC0TQSVA^iCEXQS> XQiOXW2QiC^\Z[TQiXU<WjOmCQaCC0WOST\>jC0gPVAC^\O0d=?>jC5Z[TQSVjZ[¦XB%bjC0B%C0W2QiZQiXU<WX?gPCbmCWjgU[WªQS>jC5x[X¨[C0W bjZpQRU[^iBd goal. global scheduler G choice of local scheduler sch1 enabled actions. sch2. sch n. C2. Cn. choice of action C1. 7)Xx[VA^iCt1$W2QSC0^iZ<TQiXU<W5mCQaCCW7OiT\>AC0gAVAC0^iO. . G schi. ZpWfg
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(217) q;T. (''*QB. component status_master. component signal_master. bool waiting, status;. bool waiting, signal, new_signal; int q;. const address=0, data=4321;. const address=8; action write if not waiting do waiting:=true; action write_false if q=0 do new_signal:=false, q:=1;. action return if waiting do status:=tac_seq.status, waiting:=false;. action write_port if q=1 do q:=2; action return if q=2 do q:=0; action wait_sc_zero_time if false do signal:=new_signal;. write | write1. return | done. write_port | write2. return | done. component tac_seq bool status; int q, address, data; action write1 if q=0 do address:=status_master.address, data:=status_master.data, q:=1; action write2 if q=0 do address:=signal_master.address, q:=1; action call1 if q=1 and address=0 do q:=2; action call2 if q=1 and address=8 do q:=2; action no_response if q=1 and not (address=0 or address=8) do status:=true, q:=2; action done if q>=2 do status:=false, q:=0;. call1 | WriteAccess. call2 | WriteAccess. component status_slave. component signal_slave. bool active; int data;. bool active, signal;. action WriteAccess if not active do data:=tac_seq.data, active:=true;. action WriteAccess if not active do signal:=signal_master.signal, active:=true;. action check_ok if active and data=4321 do active:=false;. action check_ok if active and not signal do active:=false;. action check_err if active and data!=4321 do active:=false;. action check_err if active and signal do active:=false;. 7. Xx[Vj^SC - X$ 7jU[VA^bA^iUPTC:OSOSC0O?TU<BBVAWAXYTZpQSXWAxU¨[C0^?ZOS>jZp^iC0g
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