=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/Q.c,v retrieving revision 1.1.1.1 retrieving revision 1.6 diff -u -p -r1.1.1.1 -r1.6 --- OpenXM_contrib2/asir2000/engine/Q.c 1999/12/03 07:39:08 1.1.1.1 +++ OpenXM_contrib2/asir2000/engine/Q.c 2000/12/08 06:43:10 1.6 @@ -1,4 +1,52 @@ -/* $OpenXM: OpenXM/src/asir99/engine/Q.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/Q.c,v 1.5 2000/08/22 05:04:04 noro Exp $ +*/ #include "ca.h" #include "base.h" #include "inline.h" @@ -172,6 +220,28 @@ Q n1,n2,*nq; } } +void divsq(n1,n2,nq) +Q n1,n2,*nq; +{ + Q m; + 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(n,nr) Q n,*nr; { @@ -302,6 +372,8 @@ Q *nr; } } +/* t = [nC0 nC1 ... nCn] */ + void mkbc(n,t) int n; Q *t; @@ -315,6 +387,50 @@ Q *t; } for ( ; i <= n; i++ ) t[i] = t[n-i]; +} + +/* + * Dx^k*x^l = W(k,l,0)*x^l*Dx^k+W(k,l,1)*x^(l-1)*x^(k-1)*+... + * + * t = [W(k,l,0) W(k,l,1) ... W(k,l,min(k,l)] + * where W(k,l,i) = i! * kCi * lCi + */ + +void mkwc(k,l,t) +int k,l; +Q *t; +{ + int i,n,up,low; + N nm,d,c; + + n = MIN(k,l); + for ( t[0] = ONE, i = 1; i <= n; i++ ) { + DM(k-i+1,l-i+1,up,low); + if ( up ) { + nm = NALLOC(2); PL(nm) = 2; BD(nm)[0] = low; BD(nm)[1] = up; + } else { + nm = NALLOC(1); PL(nm) = 1; BD(nm)[0] = low; + } + kmuln(NM(t[i-1]),nm,&d); divin(d,i,&c); NTOQ(c,1,t[i]); + } +} + +/* mod m table */ +/* XXX : should be optimized */ + +void mkwcm(k,l,m,t) +int k,l,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(n,r)