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version 1.2, 2000/01/11 06:43:37 version 1.11, 2001/09/28 00:41:16
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 /* $OpenXM: OpenXM_contrib2/asir2000/lib/gr,v 1.1.1.1 1999/12/03 07:39:11 noro Exp $ */  /*
    * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
    * All rights reserved.
    *
    * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
    * non-exclusive and royalty-free license to use, copy, modify and
    * redistribute, solely for non-commercial and non-profit purposes, the
    * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
    * conditions of this Agreement. For the avoidance of doubt, you acquire
    * only a limited right to use the SOFTWARE hereunder, and FLL or any
    * third party developer retains all rights, including but not limited to
    * copyrights, in and to the SOFTWARE.
    *
    * (1) FLL does not grant you a license in any way for commercial
    * purposes. You may use the SOFTWARE only for non-commercial and
    * non-profit purposes only, such as academic, research and internal
    * business use.
    * (2) The SOFTWARE is protected by the Copyright Law of Japan and
    * international copyright treaties. If you make copies of the SOFTWARE,
    * with or without modification, as permitted hereunder, you shall affix
    * to all such copies of the SOFTWARE the above copyright notice.
    * (3) An explicit reference to this SOFTWARE and its copyright owner
    * shall be made on your publication or presentation in any form of the
    * results obtained by use of the SOFTWARE.
    * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
    * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
    * for such modification or the source code of the modified part of the
    * SOFTWARE.
    *
    * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
    * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
    * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
    * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
    * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
    * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
    * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
    * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
    * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
    * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
    * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
    * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
    * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
    * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
    * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
    * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
    * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
    *
    * $OpenXM: OpenXM_contrib2/asir2000/lib/gr,v 1.10 2001/09/06 00:24:07 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 206  def tolex_gsl_main(G0,V,O,W,NFL,NPOSV,GM,M,MB)
Line 254  def tolex_gsl_main(G0,V,O,W,NFL,NPOSV,GM,M,MB)
                         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() )
                           print(["DN",B[1]]);
         }          }
         return SL;          return SL;
 }  }
Line 217  def hen_ttob_gsl(LHS,RHS,TERMS,M)
Line 266  def hen_ttob_gsl(LHS,RHS,TERMS,M)
         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() )
                   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)
Line 332  def tolex_main(V,O,NF,GM,M,MB)
                         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() )
                           print(["DN",B[1]]);
         }          }
         return SL;          return SL;
 }  }
Line 351  def gennf(G,TL,V,O,V0,FLAG)
Line 402  def gennf(G,TL,V,O,V0,FLAG)
                         if ( dp_gr_print() )                          if ( dp_gr_print() )
                                 print(".",2);                                  print(".",2);
                 }                  }
                 print("");                  if ( dp_gr_print() )
                           print("");
                 TTAB = time()[0]-T0;                  TTAB = time()[0]-T0;
         }          }
   
Line 506  def tolexm_main(PS,HL,V,W,M,FLAG)
Line 558  def tolexm_main(PS,HL,V,W,M,FLAG)
                         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() )
                   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 882  def dp_terms(D,V)
Line 935  def dp_terms(D,V)
   
 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));
           B1 = qsort(newvect(LB,B));
           for ( I = 0; I < LA; I++ )
                   if ( A1[I] != B1[I] && A1[I] != -B1[I] )
                         break;                          break;
         }          return I == LA ? 1 : 0;
         return T == [] ? 1 : 0;  
 }  }
   
 def zero_dim(G,V,O) {  def zero_dim(G,V,O) {
Line 1086  def henleq_gsl(L,B,MOD)
Line 1141  def henleq_gsl(L,B,MOD)
         if ( !COUNT )          if ( !COUNT )
                 COUNT = 1;                  COUNT = 1;
         MOD2 = idiv(MOD,2);          MOD2 = idiv(MOD,2);
         for ( I = 0, C = BB, X = 0, PK = 1, CCC = 0, ITOR_FAIL = -1; ;          X = newvect(size(AA)[0]);
           for ( I = 0, C = BB, PK = 1, CCC = 0, ITOR_FAIL = -1; ;
                 I++, PK *= MOD ) {                  I++, PK *= MOD ) {
                 if ( zerovector(C) )                  if ( zerovector(C) )
                         if ( zerovector(RESTA*X+RESTB) ) {                          if ( zerovector(RESTA*X+RESTB) ) {
Line 1274  def dgr(G,V,O)
Line 1330  def dgr(G,V,O)
                 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];
 }  }
   
   /* competitive Gbase computation : F4 vs. Bucbberger */
   /* P : process list */
   
   def dgrf4mod(G,V,M,O)
   {
           P = getopt(proc);
           if ( type(P) == -1 )
                   return dp_f4_mod_main(G,V,M,O);
           P0 = P[0]; P1 = P[1]; P = [P0,P1];
           map(ox_reset,P);
           ox_cmo_rpc(P0,"dp_f4_mod_main",G,V,M,O);
           ox_cmo_rpc(P1,"dp_gr_mod_main",G,V,0,M,O);
           map(ox_push_cmd,P,262); /* 262 = OX_popCMO */
           F = ox_select(P);
           R = ox_get(F[0]);
           if ( F[0] == P0 ) {
                   Win = "F4";
                   Lose = P1;
           } else {
                   Win = "Buchberger";
                   Lose = P0;
           }
           ox_reset(Lose);
           return [Win,R];
   }
   
 /* functions for rpc */  /* functions for rpc */
   
 def register_matrix(M)  def register_matrix(M)
Line 1306  def r_ttob_gsl(L,M)
Line 1388  def r_ttob_gsl(L,M)
 def get_matrix()  def get_matrix()
 {  {
         REMOTE_MATRIX;          REMOTE_MATRIX;
   }
   
   extern NFArray$
   
   /*
    * HL = [[c,i,m,d],...]
    * if c != 0
    *   g = 0
    *   g = (c*g + m*gi)/d
    *   ...
    *   finally compare g with NF
    *   if g == NF then NFArray[NFIndex] = g
    *
    * if c = 0 then HL consists of single history [0,i,0,0],
    * which means that dehomogenization of NFArray[i] should be
    * eqall to NF.
    */
   
   def check_trace(NF,NFIndex,HL)
   {
           if ( !car(HL)[0] ) {
                   /* dehomogenization */
                   DH = dp_dehomo(NFArray[car(HL)[1]]);
                   if ( NF == DH ) {
                           realloc_NFArray(NFIndex);
                           NFArray[NFIndex] = NF;
                           return 0;
                   } else
                           error("check_trace(dehomo)");
           }
   
           for ( G = 0, T = HL; T != []; T = cdr(T) ) {
                   H = car(T);
   
                   Coeff = H[0];
                   Index = H[1];
                   Monomial = H[2];
                   Denominator = H[3];
   
                   Reducer = NFArray[Index];
                   G = (Coeff*G+Monomial*Reducer)/Denominator;
           }
           if ( NF == G ) {
                   realloc_NFArray(NFIndex);
                   NFArray[NFIndex] = NF;
                   return 0;
           } else
                   error("check_trace");
   }
   
   /*
    * realloc NFArray so that it can hold * an element as NFArray[Ind].
    */
   
   def realloc_NFArray(Ind)
   {
           if ( Ind == size(NFArray)[0] ) {
                   New = newvect(Ind + 100);
                   for ( I = 0; I < Ind; I++ )
                           New[I] = NFArray[I];
                   NFArray = New;
           }
   }
   
   /*
    * create NFArray and initialize it by List.
    */
   
   def register_input(List)
   {
           Len = length(List);
           NFArray = newvect(Len+100,List);
   }
   
   /*
           tracetogen(): preliminary version
   
           dp_gr_main() returns  [GB,GBIndex,Trace].
           GB : groebner basis
           GBIndex : IndexList (corresponding to Trace)
           Trace : [InputList,Trace0,Trace1,...]
           TraceI : [Index,TraceList]
           TraceList : [[Coef,Index,Monomial,Denominator],...]
           Poly <- 0
           Poly <- (Coef*Poly+Monomial*PolyList[Index])/Denominator
   */
   
   def tracetogen(G)
   {
           GB = G[0]; GBIndex = G[1]; Trace = G[2];
   
           InputList = Trace[0];
           Trace = cdr(Trace);
   
           /* number of initial basis */
           Nini = length(InputList);
   
           /* number of generated basis */
           Ngen = length(Trace);
   
           N = Nini + Ngen;
   
           /* stores traces */
           Tr = vector(N);
   
           /* stores coeffs */
           Coef = vector(N);
   
           /* XXX create dp_ptod(1,V) */
           HT = dp_ht(InputList[0]);
           One = dp_subd(HT,HT);
   
           for ( I = 0; I < Nini; I++ ) {
                   Tr[I] = [1,I,One,1];
                   C = vector(Nini);
                   C[I] = One;
                   Coef[I] = C;
           }
           for ( ; I < N; I++ )
                   Tr[I] = Trace[I-Nini][1];
   
           for ( T = GBIndex; T != []; T = cdr(T) )
                   compute_coef_by_trace(car(T),Tr,Coef);
           return Coef;
   }
   
   def compute_coef_by_trace(I,Tr,Coef)
   {
           if ( Coef[I] )
                   return;
   
           /* XXX */
           Nini = size(Coef[0])[0];
   
           /* initialize coef vector */
           CI = vector(Nini);
   
           for ( T = Tr[I]; T != []; T = cdr(T) ) {
                   /*      Trace = [Coef,Index,Monomial,Denominator] */
                   Trace = car(T);
                   C = Trace[0];
                   Ind = Trace[1];
                   Mon = Trace[2];
                   Den = Trace[3];
                   if ( !Coef[Ind] )
                           compute_coef_by_trace(Ind,Tr,Coef);
   
                   /* XXX */
                   CT = newvect(Nini);
                   for ( J = 0; J < Nini; J++ )
                           CT[J] = (C*CI[J]+Mon*Coef[Ind][J])/Den;
                   CI = CT;
           }
           Coef[I] = CI;
 }  }
 end$  end$
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