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Diff for /OpenXM_contrib2/asir2000/engine/M.c between version 1.1 and 1.9

version 1.1, 1999/12/03 07:39:08 version 1.9, 2001/10/09 01:36:10
Line 1 
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 /* $OpenXM: OpenXM/src/asir99/engine/M.c,v 1.1.1.1 1999/11/10 08:12:26 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/engine/M.c,v 1.8 2001/07/03 01:41:26 noro Exp $
   */
 #include "ca.h"  #include "ca.h"
 #include "base.h"  #include "base.h"
   
 void addum(mod,p1,p2,pr)  void addum(int mod,UM p1,UM p2,UM pr)
 int mod;  
 UM p1,p2,pr;  
 {  {
         register int *c1,*c2,*cr,i,dmax,dmin;          register int *c1,*c2,*cr,i,dmax,dmin;
   
Line 31  UM p1,p2,pr;
Line 77  UM p1,p2,pr;
                 DEG(pr) = dmax;                  DEG(pr) = dmax;
 }  }
   
 void subum(mod,p1,p2,pr)  void subum(int mod,UM p1,UM p2,UM pr)
 int mod;  
 UM p1,p2,pr;  
 {  {
         register int *c1,*c2,*cr,i;          register int *c1,*c2,*cr,i;
         int dmax,dmin;          int dmax,dmin;
Line 68  UM p1,p2,pr;
Line 112  UM p1,p2,pr;
                 DEG(pr) = dmax;                  DEG(pr) = dmax;
 }  }
   
 void pwrum(mod,p,e,pr)  void pwrum(int mod,UM p,int e,UM pr)
 int mod,e;  
 UM p,pr;  
 {  {
         UM wt,ws;          UM wt,ws;
   
Line 93  UM p,pr;
Line 135  UM p,pr;
         }          }
 }  }
   
 void gcdum(mod,p1,p2,pr)  void gcdum(int mod,UM p1,UM p2,UM pr)
 register int mod;  
 UM p1,p2,pr;  
 {  {
         register int inv;          register int inv;
         UM t1,t2,q,tum;          UM t1,t2,q,tum;
Line 120  UM p1,p2,pr;
Line 160  UM p1,p2,pr;
         }          }
 }  }
   
 void eucum(mod,f1,f2,a,b)  void eucum(int mod,UM f1,UM f2,UM a,UM b)
 register int mod;  
 UM f1,f2,a,b;  
 {  {
         UM g1,g2,a1,a2,a3,wm,q,tum;          UM g1,g2,a1,a2,a3,wm,q,tum;
         int d,dr;          int d,dr;
Line 151  UM f1,f2,a,b;
Line 189  UM f1,f2,a,b;
                 DEG(wm) = 0; COEF(wm)[0] = mod - 1;                  DEG(wm) = 0; COEF(wm)[0] = mod - 1;
         }          }
         divum(mod,wm,f2,q); mulsum(mod,q,mod-1,b);          divum(mod,wm,f2,q); mulsum(mod,q,mod-1,b);
   #if 0
           t1 = W_UMALLOC(d);
           t2 = W_UMALLOC(d);
           t3 = W_UMALLOC(d);
           mulum(mod,a,f1,t1);
           mulum(mod,b,f2,t2);
           addum(mod,t1,t2,t3);
   #endif
 }  }
   
 void sqfrum(index,count,f,nindex,dcr,pl)  void eucum2(int mod,UM f1,UM f2,UM a,UM b)
 int index,count,*nindex;  
 P f;  
 struct oDUM **dcr;  
 ML *pl;  
 {  {
           UM gk,gk1,gk2,ak,ak1,ak2,bk,bk1,bk2,q,t,wm1,wm2,wz;
           int d,inv;
           UM t1,t2;
   
           d = 2*(DEG(f1) + DEG(f2));
           gk = W_UMALLOC(d); gk1 = W_UMALLOC(d); gk2 = W_UMALLOC(d);
           ak = W_UMALLOC(d); ak1 = W_UMALLOC(d); ak2 = W_UMALLOC(d);
           bk = W_UMALLOC(d); bk1 = W_UMALLOC(d); bk2 = W_UMALLOC(d);
           q = W_UMALLOC(d); wm1 = W_UMALLOC(d); wm2 = W_UMALLOC(d);
           wz = W_UMALLOC(d);
   
           t1 = UMALLOC(1000);
           t2 = UMALLOC(1000);
           cpyum(f1,t1);
           cpyum(f2,t2);
   
           DEG(ak) = 0; COEF(ak)[0] = 1;
           DEG(ak1) = -1;
           DEG(bk) = -1;
           DEG(bk1) = 0; COEF(bk1)[0] = 1;
   
           cpyum(f1,gk); cpyum(f2,gk1);
   
           while ( 1 ) {
                   /* ak*f1+bk*f2 = gk, ak1*f1+bk1*f2 = gk1 */
                   cpyum(gk,gk2);
                   DEG(gk2) = divum(mod,gk2,gk1,q);
                   /* gk2 = gk - q*gk1 */
                   if ( DEG(gk2) == -1 )
                           break;
                   /* ak2 = ak - q*ak1, bk2 = bk - q*bk1 */
                   mulum(mod,ak1,q,wm1); subum(mod,ak,wm1,ak2);
                   mulum(mod,bk1,q,wm1); subum(mod,bk,wm1,bk2);
   
                   /* shift */
                   t = ak; ak = ak1; ak1 = ak2; ak2 = t;
                   t = bk; bk = bk1; bk1 = bk2; bk2 = t;
                   t = gk; gk = gk1; gk1 = gk2; gk2 = t;
           }
           /* ak1*f1+bk1*f2 = gk1 = GCD(f1,f2) */
           mulum(mod,ak1,t1,wm1);
           mulum(mod,bk1,t2,wm2);
           addum(mod,wm1,wm2,wz);
           if ( DEG(wz) != 0 )
                   error("euc 1");
   
           DEG(ak1) = divum(mod,ak1,f2,q);
           DEG(bk1) = divum(mod,bk1,f1,q);
           mulum(mod,ak1,f1,wm1);
           mulum(mod,bk1,f2,wm2);
           addum(mod,wm1,wm2,wz);
           if ( DEG(wz) != 0 )
                   error("euc 2");
   
   
           if ( COEF(wz)[0] != 1 ) {
                   inv = invm(COEF(wz)[0],mod);
                   mulsum(mod,ak1,inv,a);
                   mulsum(mod,bk1,inv,b);
           } else {
                   cpyum(ak1,a);
                   cpyum(bk1,b);
           }
   }
   
   void sqfrum(int index,int count,P f,int *nindex,struct oDUM **dcr,ML *pl)
   {
         int i,j,m,n,d,dt,mod;          int i,j,m,n,d,dt,mod;
         UM wf,wdf,ws,wt,wgcd,mf,mgcd;          UM wf,wdf,ws,wt,wgcd,mf,mgcd;
         UM *l;          UM *l;
Line 176  ML *pl;
Line 285  ML *pl;
         mgcd = W_UMALLOC(n);          mgcd = W_UMALLOC(n);
   
         for ( j = 0, d = n; j < count && d; ) {          for ( j = 0, d = n; j < count && d; ) {
                 m = lprime[index++];                  m = get_lprime(index++);
                 if ( !m )  
                         error("sqfrum : lprime[] exhausted.");  
                 if ( rem(NM((Q)COEF(DC(f))),m) == 0 ) continue;                  if ( rem(NM((Q)COEF(DC(f))),m) == 0 ) continue;
   
                 ptoum(m,f,wf);                  ptoum(m,f,wf);
Line 211  ML *pl;
Line 318  ML *pl;
         l[i] = 0;          l[i] = 0;
 }  }
   
 void sqfrummain(mod,p,gcd,dcp)  void sqfrummain(int mod,UM p,UM gcd,struct oDUM **dcp)
 int mod;  
 UM p,gcd;  
 struct oDUM **dcp;  
 {  {
         int i,j,n;          int i,j,n;
         UM wp,wdp,wc,wd,ws,wt,wq;          UM wp,wdp,wc,wd,ws,wt,wq;
Line 293  struct oDUM **dcp;
Line 397  struct oDUM **dcp;
         dc[j].f = 0;          dc[j].f = 0;
 }  }
   
 void cpyum(p1,p2)  void cpyum(UM p1,UM p2)
 UM p1,p2;  
 {  {
         register int *c1,*c2,i;          register int *c1,*c2,i;
   
Line 303  UM p1,p2;
Line 406  UM p1,p2;
                 c2[i] = c1[i];                  c2[i] = c1[i];
 }  }
   
 void degum(f,n)  void clearum(UM p,int n)
 UM f;  
 int n;  
 {  {
           DEG(p) = -1;
           bzero(COEF(p),(n+1)*sizeof(int));
   }
   
   void degum(UM f,int n)
   {
         register int i,*c;          register int i,*c;
   
         for ( i = n, c = COEF(f); ( i >= 0 ) && ( c[i] == 0 ); i-- );          for ( i = n, c = COEF(f); ( i >= 0 ) && ( c[i] == 0 ); i-- );
         DEG(f) = i;          DEG(f) = i;
 }  }
   
 int deg(v,p)  int deg(V v,P p)
 V v;  
 P p;  
 {  {
         if ( !p )          if ( !p )
                 return ( -1 );                  return ( -1 );
Line 330  P p;
Line 435  P p;
                 return ( UDEG(p) );                  return ( UDEG(p) );
 }  }
   
 LUM LUMALLOC(n,bound)  LUM LUMALLOC(int n,int bound)
 int n,bound;  
 {  {
         LUM p;          LUM p;
         int **c;          int **c;
Line 346  int n,bound;
Line 450  int n,bound;
         return p;          return p;
 }  }
   
 void mullum(mod,n,f1,f2,fr)  /* dx = deg in x, dy = deg in y, c[i] <-> the coef of y^i (poly in x) */
 int mod,n;  
 LUM f1,f2,fr;  BM BMALLOC(int dx,int dy)
 {  {
           BM p;
           UM *c;
           int i;
   
           p = (BM)MALLOC(TRUESIZE(oBM,dy,UM));
           DEG(p) = dy;
           for ( i = 0, c = (UM *)COEF(p); i <= dy; i++ ) {
                   c[i] = UMALLOC(dx);
                   clearum(c[i],dx);
           }
           return p;
   }
   
   void mullum(int mod,int n,LUM f1,LUM f2,LUM fr)
   {
         int max;          int max;
         register int i,j,**p1,**p2,*px;          register int i,j,**p1,**p2,*px;
         int *w,*w1,*w2;          int *w,*w1,*w2;
Line 374  LUM f1,f2,fr;
Line 493  LUM f1,f2,fr;
         }          }
 }  }
   
 void cpylum(bound,p,r)  void cpylum(int bound,LUM p,LUM r)
 int bound;  
 LUM p,r;  
 {  {
         register int i,j;          register int i,j;
         register int **pp,**ppr;          register int **pp,**ppr;
Line 388  LUM p,r;
Line 505  LUM p,r;
                         ppr[i][j] = pp[i][j];                          ppr[i][j] = pp[i][j];
 }  }
   
 void pwrlum(mod,bound,p,n,r)  int isequalum(UM f1,UM f2)
 int mod,bound,n;  
 LUM p,r;  
 {  {
           int i;
   
           if ( DEG(f1) < 0 )
                   if ( DEG(f2) < 0 )
                           return 1;
                   else
                           return 0;
           else if ( DEG(f2) < 0 )
                   return 0;
           else {
                   if ( DEG(f1) != DEG(f2) )
                           return 0;
                   for ( i = 0; i <= DEG(f1); i++ )
                           if ( COEF(f1)[i] != COEF(f2)[i] )
                                   break;
                   if ( i < DEG(f1) )
                           return 0;
                   else
                           return 1;
           }
   }
   
   void pwrlum(int mod,int bound,LUM p,int n,LUM r)
   {
         LUM t,s;          LUM t,s;
   
         if ( n == 0 ) {          if ( n == 0 ) {
Line 414  LUM p,r;
Line 553  LUM p,r;
         }          }
 }  }
   
 int **almat(n,m)  int **almat(int n,int m)
 int n,m;  
 {  {
         int **mat,i;          int **mat,i;
   
Line 425  int n,m;
Line 563  int n,m;
         return mat;          return mat;
 }  }
   
 void mini(mod,f,fr)  void mini(int mod,UM f,UM fr)
 register int mod;  
 UM f,fr;  
 {  {
         register int i,j,**c,*ptr;          register int i,j,**c,*ptr;
         int d,dr,dm,n;          int d,dr,dm,n;
Line 461  UM f,fr;
Line 597  UM f,fr;
         DEG(fr) = dm + 1;          DEG(fr) = dm + 1;
 }  }
   
 int minimain(mod,n,m,c)  int minimain(int mod,int n,int m,int **c)
 register int mod;  
 int n,m;  
 register int **c;  
 {  {
         register int *ptr,*ci,*p;          register int *ptr,*ci,*p;
         register int i,l,a,j,b,inv;          register int i,l,a,j,b,inv;
Line 498  register int **c;
Line 631  register int **c;
         return (-1);          return (-1);
 }  }
   
 #if defined(__GNUC__) || defined(THINK_C)  #if defined(__GNUC__)
 const  const
 #endif  #endif
 int sprime[] = {  int sprime[] = {
Line 653  int sprime[] = {
Line 786  int sprime[] = {
         16273,16301,16319,16333,16339,16349,16361,16363,16369,16381,          16273,16301,16319,16333,16339,16349,16361,16363,16369,16381,
         0          0
 };  };
   
 #include "prime.h"  
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