version 1.8, 2001/04/09 02:42:29 |
version 1.15, 2002/06/12 08:19:04 |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/lib/gr,v 1.7 2000/09/07 23:59:55 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/lib/gr,v 1.14 2001/11/19 01:40:05 noro Exp $ |
*/ |
*/ |
extern INIT_COUNT,ITOR_FAIL$ |
extern INIT_COUNT,ITOR_FAIL$ |
extern REMOTE_MATRIX,REMOTE_NF,REMOTE_VARS$ |
extern REMOTE_MATRIX,REMOTE_NF,REMOTE_VARS$ |
Line 352 def minipoly(G0,V,O,P,V0) |
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Line 352 def minipoly(G0,V,O,P,V0) |
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if ( !zero_dim(hmlist(G0,V,O),V,O) ) |
if ( !zero_dim(hmlist(G0,V,O),V,O) ) |
error("tolex : ideal is not zero-dimensional!"); |
error("tolex : ideal is not zero-dimensional!"); |
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Pin = P; |
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P = ptozp(P); |
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CP = sdiv(P,Pin); |
G1 = cons(V0-P,G0); |
G1 = cons(V0-P,G0); |
O1 = [[0,1],[O,length(V)]]; |
O1 = [[0,1],[O,length(V)]]; |
V1 = cons(V0,V); |
V1 = cons(V0,V); |
Line 372 def minipoly(G0,V,O,P,V0) |
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Line 375 def minipoly(G0,V,O,P,V0) |
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TL = cons(V0^J,TL); |
TL = cons(V0^J,TL); |
NF = gennf(G1,TL,V1,O1,V0,1)[0]; |
NF = gennf(G1,TL,V1,O1,V0,1)[0]; |
R = tolex_main(V1,O1,NF,[MP],M,MB); |
R = tolex_main(V1,O1,NF,[MP],M,MB); |
return R[0]; |
return ptozp(subst(R[0],V0,CP*V0)); |
} |
} |
} |
} |
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Line 918 def p_true_nf(P,B,V,O) { |
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Line 921 def p_true_nf(P,B,V,O) { |
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return [dp_dtop(L[0],V),L[1]]; |
return [dp_dtop(L[0],V),L[1]]; |
} |
} |
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def p_nf_mod(P,B,V,O,Mod) { |
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setmod(Mod); |
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dp_ord(O); DP = dp_mod(dp_ptod(P,V),Mod,[]); |
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N = length(B); DB = newvect(N); |
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for ( I = N-1, IL = []; I >= 0; I-- ) { |
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DB[I] = dp_mod(dp_ptod(B[I],V),Mod,[]); |
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IL = cons(I,IL); |
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} |
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return dp_dtop(dp_nf_mod(IL,DP,DB,1,Mod),V); |
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} |
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def p_terms(D,V,O) |
def p_terms(D,V,O) |
{ |
{ |
dp_ord(O); |
dp_ord(O); |
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Win = "nonhomo"; |
Win = "nonhomo"; |
Lose = P1; |
Lose = P1; |
} else { |
} else { |
Win = "nhomo"; |
Win = "homo"; |
Lose = P0; |
Lose = P0; |
} |
} |
ox_reset(Lose); |
ox_reset(Lose); |
return [Win,R]; |
return [Win,R]; |
} |
} |
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/* competitive Gbase computation : F4 vs. Bucbberger */ |
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/* P : process list */ |
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def dgrf4mod(G,V,M,O) |
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{ |
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P = getopt(proc); |
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if ( type(P) == -1 ) |
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return dp_f4_mod_main(G,V,M,O); |
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P0 = P[0]; P1 = P[1]; P = [P0,P1]; |
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map(ox_reset,P); |
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ox_cmo_rpc(P0,"dp_f4_mod_main",G,V,M,O); |
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ox_cmo_rpc(P1,"dp_gr_mod_main",G,V,0,M,O); |
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map(ox_push_cmd,P,262); /* 262 = OX_popCMO */ |
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F = ox_select(P); |
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R = ox_get(F[0]); |
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if ( F[0] == P0 ) { |
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Win = "F4"; |
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Lose = P1; |
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} else { |
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Win = "Buchberger"; |
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Lose = P0; |
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} |
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ox_reset(Lose); |
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return [Win,R]; |
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} |
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/* functions for rpc */ |
/* functions for rpc */ |
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def register_matrix(M) |
def register_matrix(M) |
Line 1434 def register_input(List) |
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Line 1474 def register_input(List) |
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{ |
{ |
Len = length(List); |
Len = length(List); |
NFArray = newvect(Len+100,List); |
NFArray = newvect(Len+100,List); |
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} |
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/* |
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tracetogen(): preliminary version |
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dp_gr_main() returns [GB,GBIndex,Trace]. |
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GB : groebner basis |
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GBIndex : IndexList (corresponding to Trace) |
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Trace : [InputList,Trace0,Trace1,...] |
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TraceI : [Index,TraceList] |
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TraceList : [[Coef,Index,Monomial,Denominator],...] |
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Poly <- 0 |
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Poly <- (Coef*Poly+Monomial*PolyList[Index])/Denominator |
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*/ |
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def tracetogen(G) |
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{ |
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GB = G[0]; GBIndex = G[1]; Trace = G[2]; |
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InputList = Trace[0]; |
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Trace = cdr(Trace); |
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/* number of initial basis */ |
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Nini = length(InputList); |
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/* number of generated basis */ |
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Ngen = length(Trace); |
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N = Nini + Ngen; |
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/* stores traces */ |
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Tr = vector(N); |
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/* stores coeffs */ |
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Coef = vector(N); |
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/* XXX create dp_ptod(1,V) */ |
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HT = dp_ht(InputList[0]); |
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One = dp_subd(HT,HT); |
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for ( I = 0; I < Nini; I++ ) { |
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Tr[I] = [1,I,One,1]; |
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C = vector(Nini); |
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C[I] = One; |
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Coef[I] = C; |
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} |
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for ( ; I < N; I++ ) |
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Tr[I] = Trace[I-Nini][1]; |
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for ( T = GBIndex; T != []; T = cdr(T) ) |
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compute_coef_by_trace(car(T),Tr,Coef); |
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return Coef; |
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} |
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def compute_coef_by_trace(I,Tr,Coef) |
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{ |
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if ( Coef[I] ) |
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return; |
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/* XXX */ |
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Nini = size(Coef[0])[0]; |
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/* initialize coef vector */ |
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CI = vector(Nini); |
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for ( T = Tr[I]; T != []; T = cdr(T) ) { |
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/* Trace = [Coef,Index,Monomial,Denominator] */ |
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Trace = car(T); |
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C = Trace[0]; |
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Ind = Trace[1]; |
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Mon = Trace[2]; |
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Den = Trace[3]; |
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if ( !Coef[Ind] ) |
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compute_coef_by_trace(Ind,Tr,Coef); |
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/* XXX */ |
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CT = newvect(Nini); |
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for ( J = 0; J < Nini; J++ ) |
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CT[J] = (C*CI[J]+Mon*Coef[Ind][J])/Den; |
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CI = CT; |
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} |
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Coef[I] = CI; |
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} |
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extern Gbcheck_DP,Gbcheck_IL$ |
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def register_data_for_gbcheck(DPL) |
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{ |
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for ( IL = [], I = length(DPL)-1; I >= 0; I-- ) |
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IL = cons(I,IL); |
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Gbcheck_DP = newvect(length(DPL),DPL); |
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Gbcheck_IL = IL; |
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} |
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def sp_nf_for_gbcheck(Pair) |
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{ |
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SP = dp_sp(Gbcheck_DP[Pair[0]],Gbcheck_DP[Pair[1]]); |
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return dp_nf(Gbcheck_IL,SP,Gbcheck_DP,1); |
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} |
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def gbcheck(B,V,O) |
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{ |
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dp_ord(O); |
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D = map(dp_ptod,B,V); |
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L = dp_gr_checklist(D,length(V)); |
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DP = L[0]; Plist = L[1]; |
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for ( IL = [], I = size(DP)[0]-1; I >= 0; I-- ) |
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IL = cons(I,IL); |
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Procs = getopt(proc); |
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if ( type(Procs) == 4 ) { |
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map(ox_reset,Procs); |
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/* register DP in servers */ |
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map(ox_cmo_rpc,Procs,"register_data_for_gbcheck",vtol(DP)); |
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/* discard return value in stack */ |
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map(ox_pop_cmo,Procs); |
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Free = Procs; |
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Busy = []; |
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T = Plist; |
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while ( T != [] || Busy != [] ){ |
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if ( Free == [] || T == [] ) { |
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/* someone is working; wait for data */ |
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Ready = ox_select(Busy); |
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Busy = setminus(Busy,Ready); |
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Free = append(Ready,Free); |
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for ( ; Ready != []; Ready = cdr(Ready) ) { |
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if ( ox_get(car(Ready)) ) { |
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map(ox_reset,Procs); |
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return 0; |
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} |
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} |
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} else { |
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P = car(Free); |
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Free = cdr(Free); |
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Busy = cons(P,Busy); |
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Pair = car(T); |
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T = cdr(T); |
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ox_cmo_rpc(P,"sp_nf_for_gbcheck",Pair); |
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ox_push_cmd(P,262); /* 262 = OX_popCMO */ |
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} |
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} |
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map(ox_reset,Procs); |
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return 1; |
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} else { |
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for ( T = Plist; T != []; T = cdr(T) ) { |
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Pair = T[0]; |
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SP = dp_sp(DP[Pair[0]],DP[Pair[1]]); |
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if ( dp_nf(IL,SP,DP,1) ) |
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return 0; |
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} |
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return 1; |
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} |
} |
} |
end$ |
end$ |