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Diff for /OpenXM_contrib2/asir2000/engine/Q.c between version 1.2 and 1.7

version 1.2, 2000/04/05 08:32:17 version 1.7, 2001/10/09 01:36:11
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 /* $OpenXM: OpenXM_contrib2/asir2000/engine/Q.c,v 1.1.1.1 1999/12/03 07:39:08 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/Q.c,v 1.6 2000/12/08 06:43:10 noro Exp $
   */
 #include "ca.h"  #include "ca.h"
 #include "base.h"  #include "base.h"
 #include "inline.h"  #include "inline.h"
   
 void addq(n1,n2,nr)  void addq(Q n1,Q n2,Q *nr)
 Q n1,n2,*nr;  
 {  {
         N nm,dn,nm1,nm2,nm3,dn0,dn1,dn2,g,g1,g0,m;          N nm,dn,nm1,nm2,nm3,dn0,dn1,dn2,g,g1,g0,m;
         int sgn;          int sgn;
Line 87  Q n1,n2,*nr;
Line 134  Q n1,n2,*nr;
         }          }
 }  }
   
 void subq(n1,n2,nr)  void subq(Q n1,Q n2,Q *nr)
 Q n1,n2,*nr;  
 {  {
         Q m;          Q m;
   
Line 107  Q n1,n2,*nr;
Line 153  Q n1,n2,*nr;
         }          }
 }  }
   
 void mulq(n1,n2,nr)  void mulq(Q n1,Q n2,Q *nr)
 Q n1,n2,*nr;  
 {  {
         N nm,nm1,nm2,dn,dn1,dn2,g;          N nm,nm1,nm2,dn,dn1,dn2,g;
         int sgn;          int sgn;
Line 154  Q n1,n2,*nr;
Line 199  Q n1,n2,*nr;
         }          }
 }  }
   
 void divq(n1,n2,nq)  void divq(Q n1,Q n2,Q *nq)
 Q n1,n2,*nq;  
 {  {
         Q m;          Q m;
   
Line 172  Q n1,n2,*nq;
Line 216  Q n1,n2,*nq;
         }          }
 }  }
   
 void invq(n,nr)  void divsq(Q n1,Q n2,Q *nq)
 Q n,*nr;  
 {  {
           int sgn;
           N tn;
   
           if ( !n2 ) {
                   error("division by 0");
                   *nq = 0;
                   return;
           } else if ( !n1 )
                   *nq = 0;
           else if ( n1 == n2 )
                   *nq = ONE;
           else {
                   divsn(NM(n1),NM(n2),&tn);
                   sgn = SGN(n1)*SGN(n2);
                   NTOQ(tn,sgn,*nq);
           }
   }
   
   void invq(Q n,Q *nr)
   {
         N nm,dn;          N nm,dn;
   
         if ( INT(n) )          if ( INT(n) )
Line 194  Q n,*nr;
Line 257  Q n,*nr;
         }          }
 }  }
   
 void chsgnq(n,nr)  void chsgnq(Q n,Q *nr)
 Q n,*nr;  
 {  {
         Q t;          Q t;
   
Line 206  Q n,*nr;
Line 268  Q n,*nr;
         }          }
 }  }
   
 void pwrq(n1,n,nr)  void pwrq(Q n1,Q n,Q *nr)
 Q n1,n,*nr;  
 {  {
         N nm,dn;          N nm,dn;
         int sgn;          int sgn;
Line 247  Q n1,n,*nr;
Line 308  Q n1,n,*nr;
         }          }
 }  }
   
 int cmpq(q1,q2)  int cmpq(Q q1,Q q2)
 Q q1,q2;  
 {  {
         int sgn;          int sgn;
         N t,s;          N t,s;
Line 282  Q q1,q2;
Line 342  Q q1,q2;
         }          }
 }  }
   
 void remq(n,m,nr)  void remq(Q n,Q m,Q *nr)
 Q n,m;  
 Q *nr;  
 {  {
         N q,r,s;          N q,r,s;
   
Line 304  Q *nr;
Line 362  Q *nr;
   
 /* t = [nC0 nC1 ... nCn] */  /* t = [nC0 nC1 ... nCn] */
   
 void mkbc(n,t)  void mkbc(int n,Q *t)
 int n;  
 Q *t;  
 {  {
         int i;          int i;
         N c,d;          N c,d;
Line 326  Q *t;
Line 382  Q *t;
  *  where W(k,l,i) = i! * kCi * lCi   *  where W(k,l,i) = i! * kCi * lCi
  */   */
   
 void mkwc(k,l,t)  void mkwc(int k,int l,Q *t)
 int k,l;  
 Q *t;  
 {  {
         int i,n,up,low;          int i,n,up,low;
         N nm,d,c;          N nm,d,c;
Line 345  Q *t;
Line 399  Q *t;
         }          }
 }  }
   
 void factorial(n,r)  /* mod m table */
 int n;  /* XXX : should be optimized */
 Q *r;  
   void mkwcm(int k,int l,int m,int *t)
 {  {
           int i,n;
           Q *s;
   
           n = MIN(k,l);
           s = (Q *)ALLOCA((n+1)*sizeof(Q));
           mkwc(k,l,s);
           for ( i = 0; i <= n; i++ ) {
                   t[i] = rem(NM(s[i]),m);
           }
   }
   
   void factorial(int n,Q *r)
   {
         Q t,iq,s;          Q t,iq,s;
         unsigned int i,m,m0;          unsigned int i,m,m0;
         unsigned int c;          unsigned int c;
Line 371  Q *r;
Line 439  Q *r;
         }          }
 }  }
   
 void invl(a,mod,ar)  void invl(Q a,Q mod,Q *ar)
 Q a,mod,*ar;  
 {  {
         Q f1,f2,a1,a2,q,m,s;          Q f1,f2,a1,a2,q,m,s;
         N qn,rn;          N qn,rn;
Line 412  Q a,mod,*ar;
Line 479  Q a,mod,*ar;
   
 int kara_mag=100;  int kara_mag=100;
   
 void kmuln(n1,n2,nr)  void kmuln(N n1,N n2,N *nr)
 N n1,n2,*nr;  
 {  {
         N n,t,s,m,carry;          N n,t,s,m,carry;
         int d,d1,d2,len,i,l;          int d,d1,d2,len,i,l;
Line 456  N n1,n2,*nr;
Line 522  N n1,n2,*nr;
         bcopy((char *)r0,(char *)BD(t),l*sizeof(int));          bcopy((char *)r0,(char *)BD(t),l*sizeof(int));
 }  }
   
 void extractn(n,index,len,nr)  void extractn(N n,int index,int len,N *nr)
 N n;  
 int index,len;  
 N *nr;  
 {  {
         unsigned int *m;          unsigned int *m;
         int l;          int l;
Line 481  N *nr;
Line 544  N *nr;
         }          }
 }  }
   
 void copyn(n,len,p)  void copyn(N n,int len,int *p)
 N n;  
 int len;  
 int *p;  
 {  {
         if ( n )          if ( n )
                 bcopy((char *)BD(n),(char *)p,MIN(PL(n),len)*sizeof(int));                  bcopy((char *)BD(n),(char *)p,MIN(PL(n),len)*sizeof(int));
 }  }
   
 void dupn(n,p)  void dupn(N n,N p)
 N n;  
 N p;  
 {  {
         if ( n )          if ( n )
                 bcopy((char *)n,(char *)p,(1+PL(n))*sizeof(int));                  bcopy((char *)n,(char *)p,(1+PL(n))*sizeof(int));
 }  }
   
 void kmulnmain(n1,n2,nr)  void kmulnmain(N n1,N n2,N *nr)
 N n1,n2,*nr;  
 {  {
         int d1,d2,h,sgn,sgn1,sgn2,len;          int d1,d2,h,sgn,sgn1,sgn2,len;
         N n1lo,n1hi,n2lo,n2hi,hi,lo,mid1,mid2,mid,s1,s2,t1,t2;          N n1lo,n1hi,n2lo,n2hi,hi,lo,mid1,mid2,mid,s1,s2,t1,t2;
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