version 1.4, 2000/07/14 08:26:40 |
version 1.13, 2001/11/19 00:57:13 |
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/* $OpenXM: OpenXM_contrib2/asir2000/lib/gr,v 1.3 2000/06/05 02:26:48 noro Exp $ */ |
/* |
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* Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED |
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* All rights reserved. |
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* |
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* FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited, |
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* non-exclusive and royalty-free license to use, copy, modify and |
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* redistribute, solely for non-commercial and non-profit purposes, the |
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* computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and |
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* conditions of this Agreement. For the avoidance of doubt, you acquire |
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* only a limited right to use the SOFTWARE hereunder, and FLL or any |
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* third party developer retains all rights, including but not limited to |
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* copyrights, in and to the SOFTWARE. |
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* |
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* (1) FLL does not grant you a license in any way for commercial |
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* purposes. You may use the SOFTWARE only for non-commercial and |
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* non-profit purposes only, such as academic, research and internal |
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* business use. |
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* (2) The SOFTWARE is protected by the Copyright Law of Japan and |
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* international copyright treaties. If you make copies of the SOFTWARE, |
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* with or without modification, as permitted hereunder, you shall affix |
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* to all such copies of the SOFTWARE the above copyright notice. |
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* (3) An explicit reference to this SOFTWARE and its copyright owner |
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* shall be made on your publication or presentation in any form of the |
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* results obtained by use of the SOFTWARE. |
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* (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
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* e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification |
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* for such modification or the source code of the modified part of the |
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* SOFTWARE. |
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* |
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* THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL |
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* MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND |
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* EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS |
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* FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES' |
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* RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY |
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* MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY. |
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* UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT, |
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* OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY |
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* DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL |
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* DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES |
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* ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES |
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* FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY |
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* DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF |
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* SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART |
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* OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
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* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
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* |
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* $OpenXM: OpenXM_contrib2/asir2000/lib/gr,v 1.12 2001/11/01 10:00:19 noro Exp $ |
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*/ |
extern INIT_COUNT,ITOR_FAIL$ |
extern INIT_COUNT,ITOR_FAIL$ |
extern REMOTE_MATRIX,REMOTE_NF,REMOTE_VARS$ |
extern REMOTE_MATRIX,REMOTE_NF,REMOTE_VARS$ |
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Line 206 def tolex_gsl_main(G0,V,O,W,NFL,NPOSV,GM,M,MB) |
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Line 254 def tolex_gsl_main(G0,V,O,W,NFL,NPOSV,GM,M,MB) |
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R += B[0][K]*TERMS[K]; |
R += B[0][K]*TERMS[K]; |
LCM *= B[1]; |
LCM *= B[1]; |
SL = cons(cons(V1,[R,LCM]),SL); |
SL = cons(cons(V1,[R,LCM]),SL); |
print(["DN",B[1]]); |
if ( dp_gr_print() ) |
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print(["DN",B[1]]); |
} |
} |
return SL; |
return SL; |
} |
} |
Line 217 def hen_ttob_gsl(LHS,RHS,TERMS,M) |
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Line 266 def hen_ttob_gsl(LHS,RHS,TERMS,M) |
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L1 = idiv(LCM,LDN); R1 = idiv(LCM,RDN); |
L1 = idiv(LCM,LDN); R1 = idiv(LCM,RDN); |
T0 = time()[0]; |
T0 = time()[0]; |
S = henleq_gsl(RHS[0],LHS[0]*L1,M); |
S = henleq_gsl(RHS[0],LHS[0]*L1,M); |
print(["henleq_gsl",time()[0]-T0]); |
if ( dp_gr_print() ) |
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print(["henleq_gsl",time()[0]-T0]); |
N = length(TERMS); |
N = length(TERMS); |
return [S[0],S[1]*R1]; |
return [S[0],S[1]*R1]; |
} |
} |
Line 282 def tolex_main(V,O,NF,GM,M,MB) |
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Line 332 def tolex_main(V,O,NF,GM,M,MB) |
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U += B[0][I-1]*S[I]; |
U += B[0][I-1]*S[I]; |
R = ptozp(U); |
R = ptozp(U); |
SL = cons(R,SL); |
SL = cons(R,SL); |
print(["DN",B[1]]); |
if ( dp_gr_print() ) |
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print(["DN",B[1]]); |
} |
} |
return SL; |
return SL; |
} |
} |
Line 351 def gennf(G,TL,V,O,V0,FLAG) |
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Line 402 def gennf(G,TL,V,O,V0,FLAG) |
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if ( dp_gr_print() ) |
if ( dp_gr_print() ) |
print(".",2); |
print(".",2); |
} |
} |
print(""); |
if ( dp_gr_print() ) |
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print(""); |
TTAB = time()[0]-T0; |
TTAB = time()[0]-T0; |
} |
} |
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Line 506 def tolexm_main(PS,HL,V,W,M,FLAG) |
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Line 558 def tolexm_main(PS,HL,V,W,M,FLAG) |
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print(".",2); |
print(".",2); |
UTAB[I] = [MB[I],dp_nf_mod(GI,U*dp_mod(MB[I],M,[]),PS,1,M)]; |
UTAB[I] = [MB[I],dp_nf_mod(GI,U*dp_mod(MB[I],M,[]),PS,1,M)]; |
} |
} |
print(""); |
if ( dp_gr_print() ) |
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print(""); |
T = dp_mod(dp_ptod(dp_dtop(dp_vtoe(D),W),V),M,[]); |
T = dp_mod(dp_ptod(dp_dtop(dp_vtoe(D),W),V),M,[]); |
H = G = [[T,T]]; |
H = G = [[T,T]]; |
DL = []; G2 = []; |
DL = []; G2 = []; |
Line 865 def p_true_nf(P,B,V,O) { |
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Line 918 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); |
Line 882 def dp_terms(D,V) |
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Line 946 def dp_terms(D,V) |
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def gb_comp(A,B) |
def gb_comp(A,B) |
{ |
{ |
for ( T = A; T != []; T = cdr(T) ) { |
LA = length(A); |
for ( S = B, M = car(T), N = -M; S != []; S = cdr(S) ) |
LB = length(B); |
if ( car(S) == M || car(S) == N ) |
if ( LA != LB ) |
break; |
return 0; |
if ( S == [] ) |
A1 = qsort(newvect(LA,A)); |
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B1 = qsort(newvect(LB,B)); |
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for ( I = 0; I < LA; I++ ) |
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if ( A1[I] != B1[I] && A1[I] != -B1[I] ) |
break; |
break; |
} |
return I == LA ? 1 : 0; |
return T == [] ? 1 : 0; |
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} |
} |
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def zero_dim(G,V,O) { |
def zero_dim(G,V,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 1379 def register_input(List) |
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Line 1471 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); |
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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$ |