=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/PU.c,v retrieving revision 1.2 retrieving revision 1.7 diff -u -p -r1.2 -r1.7 --- OpenXM_contrib2/asir2000/engine/PU.c 1999/12/27 04:16:31 1.2 +++ OpenXM_contrib2/asir2000/engine/PU.c 2001/10/01 01:58:03 1.7 @@ -1,4 +1,52 @@ -/* $OpenXM: OpenXM/src/asir99/engine/PU.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/PU.c,v 1.6 2001/06/07 04:54:40 noro Exp $ +*/ #include "ca.h" void reorderp(nvl,ovl,p,pr) @@ -112,6 +160,64 @@ P *dp; *dp = d; } +void invmatp(vl,rmat,n,imatp,dnp) +VL vl; +P **rmat; +int n; +P ***imatp; +P *dnp; +{ + int i,j,k,l,n2; + P mjj,mij,t,s,u,d; + P **mat,**imat; + P *mi,*mj,*w; + + n2 = n<<1; + mat = (P **)almat_pointer(n,n2); + for ( i = 0; i < n; i++ ) { + for ( j = 0; j < n; j++ ) + mat[i][j] = rmat[i][j]; + mat[i][i+n] = (P)ONE; + } + for ( j = 0, d = (P)ONE; j < n; j++ ) { + for ( i = j; (i < n) && !mat[i][j]; i++ ); + if ( i == n ) { + error("invmatp : input is singular"); + } + for ( k = i; k < n; k++ ) + if ( mat[k][j] && (nmonop(mat[k][j]) < nmonop(mat[i][j]) ) ) + i = k; + if ( j != i ) { + mj = mat[j]; mat[j] = mat[i]; mat[i] = mj; + } + for ( i = j + 1, mj = mat[j], mjj = mj[j]; i < n; i++ ) + for ( k = j + 1, mi = mat[i], mij = mi[j]; k < n2; k++ ) { + mulp(vl,mi[k],mjj,&t); mulp(vl,mj[k],mij,&s); + subp(vl,t,s,&u); divsp(vl,u,d,&mi[k]); + } + d = mjj; + } + /* backward substitution */ + w = (P *)ALLOCA(n2*sizeof(P)); + for ( i = n-2; i >= 0; i-- ) { + bzero(w,n2*sizeof(P)); + for ( k = i+1; k < n; k++ ) + for ( l = k, u = mat[i][l]; l < n2; l++ ) { + mulp(vl,mat[k][l],u,&t); addp(vl,w[l],t,&s); w[l] = s; + } + for ( j = i, u = mat[i][j]; j < n2; j++ ) { + mulp(vl,mat[i][j],d,&t); subp(vl,t,w[j],&s); + divsp(vl,s,u,&mat[i][j]); + } + } + imat = (P **)almat_pointer(n,n); + for ( i = 0; i < n; i++ ) + for ( j = 0; j < n; j++ ) + imat[i][j] = mat[i][j+n]; + *imatp = imat; + *dnp = d; +} + void reordvar(vl,v,nvlp) VL vl; V v; @@ -452,9 +558,7 @@ P p1,p2,*pr; factorial(QTOS(n)+QTOS(m),&t); mulq(u,t,&s); addq(s,s,&f); for ( index = 0, q = ONE, c = 0; cmpq(f,q) >= 0; ) { - mod = lprime[index++]; - if ( !mod ) - error("sqfrum : lprime[] exhausted."); + mod = get_lprime(index++); ptomp(mod,LC(q1),&tg); if ( !tg ) continue; @@ -501,9 +605,7 @@ P p1,p2,*pr; factorial(QTOS(n)+QTOS(m),&t); mulq(u,t,&s); addq(s,s,&f); for ( index = 0, q = ONE, c = 0; cmpq(f,q) >= 0; ) { - mod = lprime[index++]; - if ( !mod ) - error("sqfrum : lprime[] exhausted."); + mod = get_lprime(index++); ptomp(mod,LC(q1),&tg); if ( !tg ) continue; @@ -657,7 +759,10 @@ P *pr; { Q c; - ptozp(p,1,&c,pr); + if ( qpcheck((Obj)p) ) + ptozp(p,1,&c,pr); + else + *pr = p; } void mindegp(vl,p,mvlp,pr)