===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/PU.c,v
retrieving revision 1.1.1.1
retrieving revision 1.15
diff -u -p -r1.1.1.1 -r1.15
--- OpenXM_contrib2/asir2000/engine/PU.c	1999/12/03 07:39:08	1.1.1.1
+++ OpenXM_contrib2/asir2000/engine/PU.c	2018/02/28 03:55:38	1.15
@@ -1,10 +1,55 @@
-/* $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 1.14 2010/01/31 03:25:54 noro Exp $ 
+*/
 #include "ca.h"
 
-void reorderp(nvl,ovl,p,pr)
-VL nvl,ovl;
-P p;
-P *pr;
+void reorderp(VL nvl,VL ovl,P p,P *pr)
 {
 	DCP dc;
 	P x,m,s,t,c;
@@ -28,11 +73,7 @@ P *pr;
 	}
 }
 			
-void substp(vl,p,v0,p0,pr)
-VL vl;
-V v0;
-P p,p0;
-P *pr;
+void substp(VL vl,P p,V v0,P p0,P *pr)
 {
 	P x,t,m,c,s,a;
 	DCP dc;
@@ -73,13 +114,60 @@ P *pr;
 	}
 }
 
-void detp(vl,rmat,n,dp)
-VL vl;
-P **rmat;
-int n;
-P *dp;
+void substpp(VL vl,P p,V *vvect,P *svect,int nv,P *pr);
+
+void substpp(VL vl,P p,V *vvect,P *svect,int nv,P *pr)
 {
-	int i,j,k,sgn;
+	P x,t,m,c,s,a,p0,c1;
+	DCP dc;
+	Q d;
+	V v;
+	int i;
+
+	if ( !p ) 
+		*pr = 0;
+	else if ( NUM(p) ) 
+		*pr = p;
+	else {
+		v = VR(p);
+		for ( i = 0; i < nv; i++ ) if ( vvect[i] == v ) break;
+		if ( svect[i] && OID(svect[i]) < 0 ) {
+			MKV(VR(p),x);
+			for ( c = 0, dc = DC(p); dc; dc = NEXT(dc) ) {
+				substpp(vl,COEF(dc),vvect,svect,nv,&t);
+				if ( DEG(dc) ) {
+					pwrp(vl,x,DEG(dc),&s); mulp(vl,s,t,&m); 
+					addp(vl,m,c,&a); 
+					c = a;
+				} else {
+					addp(vl,t,c,&a); 
+					c = a;
+				}
+			}
+			*pr = c;
+		} else {
+			p0 = svect[i];
+			dc = DC(p);
+			substpp(vl,COEF(dc),vvect,svect,nv,&c);
+			for ( d = DEG(dc), dc = NEXT(dc); 
+				dc; d = DEG(dc), dc = NEXT(dc) ) {
+					subq(d,DEG(dc),(Q *)&t); pwrp(vl,p0,(Q)t,&s); 
+					mulp(vl,s,c,&m); 
+					substpp(vl,COEF(dc),vvect,svect,nv,&c1);
+					addp(vl,m,c1,&c); 
+			}
+			if ( d ) {
+				pwrp(vl,p0,d,&t); mulp(vl,t,c,&m); 
+				c = m;
+			}
+			*pr = c;
+		}
+	}
+}
+
+void detp(VL vl,P **rmat,int n,P *dp)
+{
+	int i,j,k,l,sgn,nmin,kmin,lmin,ntmp;
 	P mjj,mij,t,s,u,d;
 	P **mat;
 	P *mi,*mj;
@@ -93,12 +181,22 @@ P *dp;
 		if ( i == n ) {
 			*dp = 0; return;
 		}
-		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; sgn = -sgn;
+		nmin = nmonop(mat[i][j]);
+		kmin=i; lmin=j;
+		for ( k = j; k < n; k++ )
+			for ( l = j; l < n; l++ )
+				if ( mat[k][l] && ((ntmp=nmonop(mat[k][l])) < nmin) ) {
+					kmin = k; lmin = l; nmin = ntmp;
+				}
+		if ( kmin != j ) {
+			mj = mat[j]; mat[j] = mat[kmin]; mat[kmin] = mj; sgn = -sgn;
 		}
+		if ( lmin != j ) {
+			for ( k = j; k < n; k++ ) {
+				t = mat[k][j]; mat[k][j] = mat[k][lmin]; mat[k][lmin] = t;
+			}
+			sgn = -sgn;
+		}
 		for ( i = j + 1, mj = mat[j], mjj = mj[j]; i < n; i++ )
 			for ( k = j + 1, mi = mat[i], mij = mi[j]; k < n; k++ ) {
 				mulp(vl,mi[k],mjj,&t); mulp(vl,mj[k],mij,&s);
@@ -112,11 +210,61 @@ P *dp;
 		*dp = d;
 }
 
-void reordvar(vl,v,nvlp)
-VL vl;
-V v;
-VL *nvlp;
+void invmatp(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 vl,V v,VL *nvlp)
+{
 	VL nvl,nvl0;
 
 	for ( NEWVL(nvl0), nvl0->v = v, nvl = nvl0; 
@@ -132,9 +280,7 @@ VL *nvlp;
 	*nvlp = nvl0;
 }
 
-void gcdprsp(vl,p1,p2,pr)
-VL vl;
-P p1,p2,*pr;
+void gcdprsp(VL vl,P p1,P p2,P *pr)
 {
 	P g1,g2,gc1,gc2,gp1,gp2,g,gc,gp,gcr;
 	V v1,v2;
@@ -172,9 +318,7 @@ P p1,p2,*pr;
 	}
 }
 
-void gcdcp(vl,p,pr)
-VL vl;
-P p,*pr;
+void gcdcp(VL vl,P p,P *pr)
 {
 	P g,g1;
 	DCP dc;
@@ -192,10 +336,7 @@ P p,*pr;
 	}
 }
 
-void sprs(vl,v,p1,p2,pr)
-VL vl;
-V v;
-P p1,p2,*pr;
+void sprs(VL vl,V v,P p1,P p2,P *pr)
 {
 	P q1,q2,m,m1,m2,x,h,r,g1,g2;
 	int d;
@@ -233,10 +374,7 @@ P p1,p2,*pr;
 	*pr = g2;
 }
 
-void resultp(vl,v,p1,p2,pr)
-VL vl;
-V v;
-P p1,p2,*pr;
+void resultp(VL vl,V v,P p1,P p2,P *pr)
 {
 	P q1,q2,m,m1,m2,lc,q,r,t,g1,g2,adj;
 	int d,d1,d2,j,k;
@@ -328,10 +466,7 @@ P p1,p2,*pr;
 	}
 }
 
-void srch2(vl,v,p1,p2,pr)
-VL vl;
-V v;
-P p1,p2,*pr;
+void srch2(VL vl,V v,P p1,P p2,P *pr)
 {
 	P q1,q2,m,m1,m2,lc,q,r,t,s,g1,g2,adj;
 	int d,d1,d2,j,k;
@@ -420,10 +555,7 @@ P p1,p2,*pr;
 	}
 }
 
-void srcr(vl,v,p1,p2,pr)
-VL vl;
-V v;
-P p1,p2,*pr;
+void srcr(VL vl,V v,P p1,P p2,P *pr)
 {
 	P q1,q2,c,c1;
 	P tg,tg1,tg2,resg;
@@ -452,9 +584,7 @@ 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;
@@ -469,10 +599,7 @@ P p1,p2,*pr;
 	*pr = c;
 }
 
-void res_ch_det(vl,v,p1,p2,pr)
-VL vl;
-V v;
-P p1,p2,*pr;
+void res_ch_det(VL vl,V v,P p1,P p2,P *pr)
 {
 	P q1,q2,c,c1;
 	P tg,tg1,tg2,resg;
@@ -501,9 +628,7 @@ 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;
@@ -518,12 +643,7 @@ P p1,p2,*pr;
 	*pr = c;
 }
 
-void res_detmp(vl,mod,v,p1,p2,dp)
-VL vl;
-int mod;
-V v;
-P p1,p2;
-P *dp;
+void res_detmp(VL vl,int mod,V v,P p1,P p2,P *dp)
 {
 	int n1,n2,n,sgn;
 	int i,j,k;
@@ -569,36 +689,29 @@ P *dp;
 }
 
 #if 0
-showmat(vl,mat,n)
-VL vl;
-P **mat;
-int n;
+showmat(VL vl,P **mat,int n)
 {
 	int i,j;
 	P t;
 
 	for ( i = 0; i < n; i++ ) {
 		for ( j = 0; j < n; j++ ) {
-			mptop(mat[i][j],&t); printp(vl,t); fprintf(out," ");
+			mptop(mat[i][j],&t); asir_printp(vl,t); fprintf(out," ");
 		}
 		fprintf(out,"\n");
 	}
 	fflush(out);
 }
 
-showmp(vl,p)
-VL vl;
-P p;
+showmp(VL vl,P p)
 {
 	P t;
 
-	mptop(p,&t); printp(vl,t); fprintf(out,"\n");
+	mptop(p,&t); asir_printp(vl,t); fprintf(out,"\n");
 }
 #endif
 
-void premp(vl,p1,p2,pr)
-VL vl;
-P p1,p2,*pr;
+void premp(VL vl,P p1,P p2,P *pr)
 {
 	P m,m1,m2;
 	P *pw;
@@ -616,6 +729,10 @@ P p1,p2,*pr;
 		*pr = 0;
 	else if ( ( v1 = VR(p1) ) == ( v2 = VR(p2) ) ) {
 		n1 = deg(v1,p1); n2 = deg(v1,p2);
+    if ( n1 < n2 ) {
+      *pr = p1;
+      return;
+    }
 		pw = (P *)ALLOCA((n1+1)*sizeof(P));
 		bzero((char *)pw,(int)((n1+1)*sizeof(P)));
 
@@ -651,18 +768,17 @@ P p1,p2,*pr;
 	}
 }
 
-void ptozp0(p,pr)
-P p;
-P *pr;
+void ptozp0(P p,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)
-VL vl,*mvlp;
-P p,*pr;
+void mindegp(VL vl,P p,VL *mvlp,P *pr)
 {
 	P t;
 	VL nvl,tvl,avl;
@@ -684,9 +800,7 @@ P p,*pr;
 	}
 }
 
-void maxdegp(vl,p,mvlp,pr)
-VL vl,*mvlp;
-P p,*pr;
+void maxdegp(VL vl,P p,VL *mvlp,P *pr)
 {
 	P t;
 	VL nvl,tvl,avl;
@@ -708,9 +822,7 @@ P p,*pr;
 	}
 }
 
-void min_common_vars_in_coefp(vl,p,mvlp,pr)
-VL vl,*mvlp;
-P p,*pr;
+void min_common_vars_in_coefp(VL vl,P p,VL *mvlp,P *pr)
 {
 	P u,p0;
 	VL tvl,cvl,svl,uvl,avl,vl0;
@@ -742,9 +854,7 @@ P p,*pr;
 	*pr = p0; *mvlp = vl0;
 }
 
-void minlcdegp(vl,p,mvlp,pr)
-VL vl,*mvlp;
-P p,*pr;
+void minlcdegp(VL vl,P p,VL *mvlp,P *pr)
 {
 	P u,p0;
 	VL tvl,uvl,avl,vl0;
@@ -762,9 +872,7 @@ P p,*pr;
 	*pr = p0; *mvlp = vl0;
 }
 
-void sort_by_deg(n,p,pr)
-int n;
-P *p,*pr;
+void sort_by_deg(int n,P *p,P *pr)
 {
 	int j,k,d,k0;
 	V v;
@@ -782,9 +890,7 @@ P *p,*pr;
 	}
 }
 
-void sort_by_deg_rev(n,p,pr)
-int n;
-P *p,*pr;
+void sort_by_deg_rev(int n,P *p,P *pr)
 {
 	int j,k,d,k0;
 	V v;
@@ -803,10 +909,7 @@ P *p,*pr;
 }
 
 
-void getmindeg(v,p,dp)
-V v;
-P p;
-Q *dp;
+void getmindeg(V v,P p,Q *dp)
 {
 	Q dt,d;
 	DCP dc;
@@ -828,9 +931,7 @@ Q *dp;
 	}
 }
 
-void minchdegp(vl,p,mvlp,pr)
-VL vl,*mvlp;
-P p,*pr;
+void minchdegp(VL vl,P p,VL *mvlp,P *pr)
 {
 	P t;
 	VL tvl,nvl,avl;
@@ -859,9 +960,7 @@ P p,*pr;
 	}
 }
 
-int getchomdeg(v,p)
-V v;
-P p;
+int getchomdeg(V v,P p)
 {
 	int m,m1;
 	DCP dc;
@@ -879,10 +978,7 @@ P p;
 	}
 }
 
-int getlchomdeg(v,p,d)
-V v;
-P p;
-int *d;
+int getlchomdeg(V v,P p,int *d)
 {
 	int m0,m1,d0,d1;
 	DCP dc;
@@ -907,8 +1003,7 @@ int *d;
 	}
 }
 
-int nmonop(p)
-P p;
+int nmonop(P p)
 {
 	int s;
 	DCP dc;
@@ -928,8 +1023,7 @@ P p;
 		}
 }
 
-int qpcheck(p)
-Obj p;
+int qpcheck(Obj p)
 {
 	DCP dc;
 
@@ -951,8 +1045,7 @@ Obj p;
 
 /* check if p is univariate and all coeffs are INT or LM */
 
-int uzpcheck(p)
-Obj p;
+int uzpcheck(Obj p)
 {
 	DCP dc;
 	P c;
@@ -966,7 +1059,7 @@ Obj p;
 			case O_P:
 				for ( dc = DC((P)p); dc; dc = NEXT(dc) ) {
 					c = COEF(dc);
-					if ( !NUM(c) || !uzpcheck(c) )
+					if ( !NUM(c) || !uzpcheck((Obj)c) )
 						return 0;
 				}
 				return 1;
@@ -975,8 +1068,7 @@ Obj p;
 		}
 }
 
-int p_mag(p)
-P p;
+int p_mag(P p)
 {
 	int s;
 	DCP dc;
@@ -988,6 +1080,24 @@ P p;
 	else {
 		for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) )
 			s += p_mag(COEF(dc));
+		return s;
+	}
+}
+
+int maxblenp(P p)
+{
+	int s,t;
+	DCP dc;
+
+	if ( !p )
+		return 0;
+	else if ( OID(p) == O_N )
+		return n_bits(NM((Q)p))+(INT((Q)p)?0:n_bits(DN((Q)p)));
+	else {
+		for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) {
+			t = maxblenp(COEF(dc));
+			s = MAX(t,s);
+		}
 		return s;
 	}
 }