===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/E.c,v
retrieving revision 1.8
retrieving revision 1.9
diff -u -p -r1.8 -r1.9
--- OpenXM_contrib2/asir2000/engine/E.c	2001/10/09 01:36:09	1.8
+++ OpenXM_contrib2/asir2000/engine/E.c	2018/03/29 01:32:51	1.9
@@ -45,955 +45,955 @@
  * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
  * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
  *
- * $OpenXM: OpenXM_contrib2/asir2000/engine/E.c,v 1.7 2001/06/07 04:54:40 noro Exp $ 
+ * $OpenXM: OpenXM_contrib2/asir2000/engine/E.c,v 1.8 2001/10/09 01:36:09 noro Exp $ 
 */
 #include "ca.h"
 
 void henmv(VL vl,VN vn,P f,P g0,P h0,P a0,P b0,P lg,P lh,P lg0,P lh0,Q q,int k,P *gp,P *hp)
 {
-	P g1,h1,a1,b1;
-	N qn;
-	Q q2;
+  P g1,h1,a1,b1;
+  N qn;
+  Q q2;
 
-	divin((NM(q)),2,&qn); NTOQ(qn,1,q2);
-	adjc(vl,g0,a0,lg0,q,&g1,&a1); adjc(vl,h0,b0,lh0,q,&h1,&b1);
-	henmvmain(vl,vn,f,g1,h1,b1,a1,lg,lh,q,q2,k,gp,hp);
+  divin((NM(q)),2,&qn); NTOQ(qn,1,q2);
+  adjc(vl,g0,a0,lg0,q,&g1,&a1); adjc(vl,h0,b0,lh0,q,&h1,&b1);
+  henmvmain(vl,vn,f,g1,h1,b1,a1,lg,lh,q,q2,k,gp,hp);
 }
 
 void henmvmain(VL vl,VN vn,P f,P fi0,P fi1,P gi0,P gi1,P l0,P l1,Q mod,Q mod2,int k,P *fr0,P *fr1)
 {
-	V v;
-	int n,i,j;
-	int *md;
-	P x,m,m1,c,q,r,a,s,u,ff,f0,f1;
-	P w0,w1,cf,cfi,t,q1,dvr;
-	P *c0,*c1;
-	P *f0h,*f1h;
+  V v;
+  int n,i,j;
+  int *md;
+  P x,m,m1,c,q,r,a,s,u,ff,f0,f1;
+  P w0,w1,cf,cfi,t,q1,dvr;
+  P *c0,*c1;
+  P *f0h,*f1h;
 
-	v = VR(f); n = deg(v,f); MKV(v,x);
-	c0 = (P *)ALLOCA((n+1)*sizeof(P));
-	c1 = (P *)ALLOCA((n+1)*sizeof(P));
-	invl((Q)LC(fi1),mod,(Q *)&c); mulp(vl,fi1,c,&t); cmp(mod,t,&dvr); 
-	cm2p(mod,mod2,gi0,&c0[0]); cm2p(mod,mod2,gi1,&c1[0]);
-	for ( i = 1; i <= n; i++ ) {
-		mulp(vl,x,c1[i-1],&m); divsrp(vl,m,dvr,&q,&r); mulp(vl,q,c,&q1);
-		cm2p(mod,mod2,r,&c1[i]); 
-		mulp(vl,x,c0[i-1],&m); mulp(vl,q1,fi0,&m1); addp(vl,m,m1,&a);
-		cm2p(mod,mod2,a,&c0[i]); 
-	}
-	affine(vl,f,vn,&t); cm2p(mod,mod2,t,&ff); 
-	for ( i = 0; vn[i].v; i++ );
-	md = ( int *) ALLOCA((i+1)*sizeof(int));
-	for ( i = 0; vn[i].v; i++ )
-		md[i] = getdeg(vn[i].v,ff);
-	cm2p(mod,mod2,fi0,&f0); affine(vl,l0,vn,&t);
-	if ( NUM(f0) )
-		cm2p(mod,mod2,t,&f0);
-	else
-		cm2p(mod,mod2,t,&COEF(DC(f0)));
-	cm2p(mod,mod2,fi1,&f1); affine(vl,l1,vn,&t);
-	if ( NUM(f1) )
-		cm2p(mod,mod2,t,&f1);
-	else
-		cm2p(mod,mod2,t,&COEF(DC(f1)));
-	W_CALLOC(k,P,f0h); W_CALLOC(k,P,f1h);
-	for ( i = 0; i <= k; i++ ) {
-		exthpc(vl,v,f0,i,&f0h[i]); exthpc(vl,v,f1,i,&f1h[i]);
-	}
-	for ( j = 1; j <= k; j++ ) {
-		for ( i = 0; vn[i].v; i++ ) 
-			if ( getdeg(vn[i].v,f0)+getdeg(vn[i].v,f1) > md[i] )
-				goto END;
-		for ( i = 0, s = 0; i <= j; i++ ) {
-			mulp(vl,f0h[i],f1h[j-i],&t); addp(vl,s,t,&u); s = u;
-		}
-		cm2p(mod,mod2,s,&t);
-		exthpc(vl,v,ff,j,&u); subm2p(vl,mod,mod2,u,t,&cf);
-		for ( i = 0, w0 = 0, w1 = 0; i <= n; i++ ) {
-			if ( !cf ) 
-				cfi = 0;
-			else if ( VR(cf) == v ) 
-				coefp(cf,i,&cfi);
-			else if ( i == 0 ) 
-				cfi = cf;
-			else 
-				cfi = 0;
-			if ( cfi ) {
-				mulp(vl,cfi,c0[i],&m); addp(vl,w0,m,&a); w0 = a;
-				mulp(vl,cfi,c1[i],&m); addp(vl,w1,m,&a); w1 = a;
-			}
-		}
-		cm2p(mod,mod2,w0,&t); addm2p(vl,mod,mod2,f0,t,&a); 
-		addm2p(vl,mod,mod2,f0h[j],t,&s); f0h[j] = s; f0 = a;
-		cm2p(mod,mod2,w1,&u); addm2p(vl,mod,mod2,f1,u,&a); 
-		addm2p(vl,mod,mod2,f1h[j],u,&s); f1h[j] = s; f1 = a;
-		if ( !t ) {
-			restore(vl,f0,vn,&s); cm2p(mod,mod2,s,&t);
-			if ( divtpz(vl,f,t,&s) ) {
-				*fr0 = t; *fr1 = s;	
-				return;
-			} 
-		}
-		if ( !u ) {
-			restore(vl,f1,vn,&s); cm2p(mod,mod2,s,&t);
-			if ( divtpz(vl,f,t,&s) ) {
-				*fr0 = s; *fr1 = t;	
-				return;
-			} 
-		}
-	}
+  v = VR(f); n = deg(v,f); MKV(v,x);
+  c0 = (P *)ALLOCA((n+1)*sizeof(P));
+  c1 = (P *)ALLOCA((n+1)*sizeof(P));
+  invl((Q)LC(fi1),mod,(Q *)&c); mulp(vl,fi1,c,&t); cmp(mod,t,&dvr); 
+  cm2p(mod,mod2,gi0,&c0[0]); cm2p(mod,mod2,gi1,&c1[0]);
+  for ( i = 1; i <= n; i++ ) {
+    mulp(vl,x,c1[i-1],&m); divsrp(vl,m,dvr,&q,&r); mulp(vl,q,c,&q1);
+    cm2p(mod,mod2,r,&c1[i]); 
+    mulp(vl,x,c0[i-1],&m); mulp(vl,q1,fi0,&m1); addp(vl,m,m1,&a);
+    cm2p(mod,mod2,a,&c0[i]); 
+  }
+  affine(vl,f,vn,&t); cm2p(mod,mod2,t,&ff); 
+  for ( i = 0; vn[i].v; i++ );
+  md = ( int *) ALLOCA((i+1)*sizeof(int));
+  for ( i = 0; vn[i].v; i++ )
+    md[i] = getdeg(vn[i].v,ff);
+  cm2p(mod,mod2,fi0,&f0); affine(vl,l0,vn,&t);
+  if ( NUM(f0) )
+    cm2p(mod,mod2,t,&f0);
+  else
+    cm2p(mod,mod2,t,&COEF(DC(f0)));
+  cm2p(mod,mod2,fi1,&f1); affine(vl,l1,vn,&t);
+  if ( NUM(f1) )
+    cm2p(mod,mod2,t,&f1);
+  else
+    cm2p(mod,mod2,t,&COEF(DC(f1)));
+  W_CALLOC(k,P,f0h); W_CALLOC(k,P,f1h);
+  for ( i = 0; i <= k; i++ ) {
+    exthpc(vl,v,f0,i,&f0h[i]); exthpc(vl,v,f1,i,&f1h[i]);
+  }
+  for ( j = 1; j <= k; j++ ) {
+    for ( i = 0; vn[i].v; i++ ) 
+      if ( getdeg(vn[i].v,f0)+getdeg(vn[i].v,f1) > md[i] )
+        goto END;
+    for ( i = 0, s = 0; i <= j; i++ ) {
+      mulp(vl,f0h[i],f1h[j-i],&t); addp(vl,s,t,&u); s = u;
+    }
+    cm2p(mod,mod2,s,&t);
+    exthpc(vl,v,ff,j,&u); subm2p(vl,mod,mod2,u,t,&cf);
+    for ( i = 0, w0 = 0, w1 = 0; i <= n; i++ ) {
+      if ( !cf ) 
+        cfi = 0;
+      else if ( VR(cf) == v ) 
+        coefp(cf,i,&cfi);
+      else if ( i == 0 ) 
+        cfi = cf;
+      else 
+        cfi = 0;
+      if ( cfi ) {
+        mulp(vl,cfi,c0[i],&m); addp(vl,w0,m,&a); w0 = a;
+        mulp(vl,cfi,c1[i],&m); addp(vl,w1,m,&a); w1 = a;
+      }
+    }
+    cm2p(mod,mod2,w0,&t); addm2p(vl,mod,mod2,f0,t,&a); 
+    addm2p(vl,mod,mod2,f0h[j],t,&s); f0h[j] = s; f0 = a;
+    cm2p(mod,mod2,w1,&u); addm2p(vl,mod,mod2,f1,u,&a); 
+    addm2p(vl,mod,mod2,f1h[j],u,&s); f1h[j] = s; f1 = a;
+    if ( !t ) {
+      restore(vl,f0,vn,&s); cm2p(mod,mod2,s,&t);
+      if ( divtpz(vl,f,t,&s) ) {
+        *fr0 = t; *fr1 = s;  
+        return;
+      } 
+    }
+    if ( !u ) {
+      restore(vl,f1,vn,&s); cm2p(mod,mod2,s,&t);
+      if ( divtpz(vl,f,t,&s) ) {
+        *fr0 = s; *fr1 = t;  
+        return;
+      } 
+    }
+  }
 END:
-	restore(vl,f0,vn,&t); cm2p(mod,mod2,t,fr0); 
-	restore(vl,f1,vn,&t); cm2p(mod,mod2,t,fr1); 
+  restore(vl,f0,vn,&t); cm2p(mod,mod2,t,fr0); 
+  restore(vl,f1,vn,&t); cm2p(mod,mod2,t,fr1); 
 }
 
 /*
-	input : f, fi0, fi1, p, k; f = fi0 * fi1 mod p; ( p, k : integer )
-	output : gr1 * fr0 + gr0 * fr1 = 1 mod qr; ( qr = p^(2^(k-1)) )
+  input : f, fi0, fi1, p, k; f = fi0 * fi1 mod p; ( p, k : integer )
+  output : gr1 * fr0 + gr0 * fr1 = 1 mod qr; ( qr = p^(2^(k-1)) )
 */
 
 void henzq(P f,P i0,UM fi0,P i1,UM fi1,int p,int k,P *fr0p,P *fr1p,P *gr0p,P *gr1p,Q *qrp)
 {
-	N qn;
-	Q q,qq,q2;
-	int n,i;
-	UM wg0,wg1,wf0,wf1;
-	P f0,f1,g0,g1,m,m1,s,c,d,q1,r1,rm,rm1,a,a1,a2;
+  N qn;
+  Q q,qq,q2;
+  int n,i;
+  UM wg0,wg1,wf0,wf1;
+  P f0,f1,g0,g1,m,m1,s,c,d,q1,r1,rm,rm1,a,a1,a2;
 
-	n = UDEG(f);
-	wf0 = W_UMALLOC(n); wf1 = W_UMALLOC(n);
-	wg0 = W_UMALLOC(n); wg1 = W_UMALLOC(n);
-	cpyum(fi0,wf0); cpyum(fi1,wf1);
-	eucum(p,wf0,wf1,wg1,wg0);
-	umtop(VR(f),fi0,&f0); umtop(VR(f),fi1,&f1);
-	umtop(VR(f),wg0,&g0); umtop(VR(f),wg1,&g1);
+  n = UDEG(f);
+  wf0 = W_UMALLOC(n); wf1 = W_UMALLOC(n);
+  wg0 = W_UMALLOC(n); wg1 = W_UMALLOC(n);
+  cpyum(fi0,wf0); cpyum(fi1,wf1);
+  eucum(p,wf0,wf1,wg1,wg0);
+  umtop(VR(f),fi0,&f0); umtop(VR(f),fi1,&f1);
+  umtop(VR(f),wg0,&g0); umtop(VR(f),wg1,&g1);
 
-	STOQ(p,q); divin(NM(q),2,&qn); NTOQ(qn,1,q2);
-	for ( i = 1; i < k; i++ ) {
+  STOQ(p,q); divin(NM(q),2,&qn); NTOQ(qn,1,q2);
+  for ( i = 1; i < k; i++ ) {
 #if 0
-		mulp(CO,i1,g0,&m); mulp(CO,i0,g1,&m1); addp(CO,m,m1,&a);
-		if ( NUM(a) ) {
-			for ( STOQ(p,q), j = 1; j < k; j++ ) {
-				mulq(q,q,&qq); q = qq;
-			}
-			f0 = i0; f1 = i1;
-			invl(a,q,&qq);
-			mulp(CO,g0,qq,&s); g0 = s; mulp(CO,g1,qq,&s); g1 = s;
-			break;
-		}
+    mulp(CO,i1,g0,&m); mulp(CO,i0,g1,&m1); addp(CO,m,m1,&a);
+    if ( NUM(a) ) {
+      for ( STOQ(p,q), j = 1; j < k; j++ ) {
+        mulq(q,q,&qq); q = qq;
+      }
+      f0 = i0; f1 = i1;
+      invl(a,q,&qq);
+      mulp(CO,g0,qq,&s); g0 = s; mulp(CO,g1,qq,&s); g1 = s;
+      break;
+    }
 #endif
-	/*	c = ((f - f0*f1)/q) mod q;
-		q1 = (c*g1) / f1; 
-		r1 = (c*g1) mod f1;
-		f1 += (r1 mod q)*q;
-		f0 += ((c*g0 + q1*f0) mod q)*q;
+  /*  c = ((f - f0*f1)/q) mod q;
+    q1 = (c*g1) / f1; 
+    r1 = (c*g1) mod f1;
+    f1 += (r1 mod q)*q;
+    f0 += ((c*g0 + q1*f0) mod q)*q;
 
-		d = ((1 - (f1*g0 + f0*g1))/q) mod q;
-		q1 = (d*g0) / f1;
-		r1 = (d*g0) mod f1;
-		g1 += (r1 mod q)*q;
-		g0 += ((c*g0 + q1*f0) mod q)*q;
-		q = q^2;
-	*/
+    d = ((1 - (f1*g0 + f0*g1))/q) mod q;
+    q1 = (d*g0) / f1;
+    r1 = (d*g0) mod f1;
+    g1 += (r1 mod q)*q;
+    g0 += ((c*g0 + q1*f0) mod q)*q;
+    q = q^2;
+  */
 
-	/* c = ((f - f0*f1)/q) mod q */
-		mulp(CO,f0,f1,&m); subp(CO,f,m,&s); 
-		divcp(s,q,&m); cm2p(q,q2,m,&c); 
+  /* c = ((f - f0*f1)/q) mod q */
+    mulp(CO,f0,f1,&m); subp(CO,f,m,&s); 
+    divcp(s,q,&m); cm2p(q,q2,m,&c); 
 
-	/* q1 = (c*g1) / f1; r1 = (c*g1) mod f1; */
-		mulp(CO,c,g1,&m); cm2p(q,q2,m,&s); 
-		udivpwm(q,s,f1,&q1,&r1); 
+  /* q1 = (c*g1) / f1; r1 = (c*g1) mod f1; */
+    mulp(CO,c,g1,&m); cm2p(q,q2,m,&s); 
+    udivpwm(q,s,f1,&q1,&r1); 
 
-	/* f1 = f1 + (r1 mod q)*q; */
-		cm2p(q,q2,r1,&rm); 
-		mulpq(rm,(P)q,&rm1); addp(CO,f1,rm1,&a); 
-		f1 = a;
+  /* f1 = f1 + (r1 mod q)*q; */
+    cm2p(q,q2,r1,&rm); 
+    mulpq(rm,(P)q,&rm1); addp(CO,f1,rm1,&a); 
+    f1 = a;
 
-	/* a1 = (c*g0 + q1*f0) mod q; */
-		mulp(CO,c,g0,&m); mulp(CO,q1,f0,&m1); addp(CO,m,m1,&a);
-		cm2p(q,q2,a,&a1); 
+  /* a1 = (c*g0 + q1*f0) mod q; */
+    mulp(CO,c,g0,&m); mulp(CO,q1,f0,&m1); addp(CO,m,m1,&a);
+    cm2p(q,q2,a,&a1); 
 
-	/* f0 = f0 + a1*q; */
-		mulpq(a1,(P)q,&a2); 
-		addp(CO,f0,a2,&a); 
-		f0 = a;
+  /* f0 = f0 + a1*q; */
+    mulpq(a1,(P)q,&a2); 
+    addp(CO,f0,a2,&a); 
+    f0 = a;
 
-	/* d = ((1 - (f1*g0 + f0*g1))/q) mod q; */
-		mulp(CO,f1,g0,&m); mulp(CO,f0,g1,&m1); addp(CO,m,m1,&a);
-		subp(CO,(P)ONE,a,&s); 
-		divcp(s,q,&m); cm2p(q,q2,m,&d); 
+  /* d = ((1 - (f1*g0 + f0*g1))/q) mod q; */
+    mulp(CO,f1,g0,&m); mulp(CO,f0,g1,&m1); addp(CO,m,m1,&a);
+    subp(CO,(P)ONE,a,&s); 
+    divcp(s,q,&m); cm2p(q,q2,m,&d); 
 
-	/* q1 = (d*g0) / f1; r1 = (d*g0) mod f1; */
-		mulp(CO,d,g1,&m); udivpwm(q,m,f1,&q1,&r1); 
+  /* q1 = (d*g0) / f1; r1 = (d*g0) mod f1; */
+    mulp(CO,d,g1,&m); udivpwm(q,m,f1,&q1,&r1); 
 
-	/* g1 = g1 + (r1 mod q )*q; */
-		cm2p(q,q2,r1,&rm); 
-		mulpq(rm,(P)q,&rm1); addp(CO,g1,rm1,&a); 
-		g1 = a;
+  /* g1 = g1 + (r1 mod q )*q; */
+    cm2p(q,q2,r1,&rm); 
+    mulpq(rm,(P)q,&rm1); addp(CO,g1,rm1,&a); 
+    g1 = a;
 
-	/* g0 = g0 + (c*g0 + q1*f0 mod q)*q; */
-		mulp(CO,d,g0,&m); mulp(CO,q1,f0,&m1); addp(CO,m,m1,&a);
-		cm2p(q,q2,a,&a1); mulpq(a1,(P)q,&a2); 
-		addp(CO,g0,a2,&a); 
-		g0 = a;
+  /* g0 = g0 + (c*g0 + q1*f0 mod q)*q; */
+    mulp(CO,d,g0,&m); mulp(CO,q1,f0,&m1); addp(CO,m,m1,&a);
+    cm2p(q,q2,a,&a1); mulpq(a1,(P)q,&a2); 
+    addp(CO,g0,a2,&a); 
+    g0 = a;
 
-	/* q = q^2; */
-		mulq(q,q,&qq); 
-		q = qq;
-		divin(NM(q),2,&qn); NTOQ(qn,1,q2);
-	} 
-	*fr0p = f0; *fr1p = f1; *gr0p = g0; *gr1p = g1; *qrp = q;
+  /* q = q^2; */
+    mulq(q,q,&qq); 
+    q = qq;
+    divin(NM(q),2,&qn); NTOQ(qn,1,q2);
+  } 
+  *fr0p = f0; *fr1p = f1; *gr0p = g0; *gr1p = g1; *qrp = q;
 }
 
 void henzq1(P g,P h,Q bound,P *gcp,P *hcp,Q *qp)
 {
-	V v;
-	Q f,q,q1;
-	Q u,t,a,b,s;
-	P c,c1;
-	P tg,th,tr;
-	UM wg,wh,ws,wt,wm;
-	int n,m,modres,mod,index,i;
-	P gc0,hc0;
-	P z,zz,zzz;
+  V v;
+  Q f,q,q1;
+  Q u,t,a,b,s;
+  P c,c1;
+  P tg,th,tr;
+  UM wg,wh,ws,wt,wm;
+  int n,m,modres,mod,index,i;
+  P gc0,hc0;
+  P z,zz,zzz;
 
 
-	v = VR(g); n=deg(v,g); m=deg(v,h);
-	norm(g,&a); norm(h,&b);
-	STOQ(m,u); pwrq(a,u,&t); 
-	STOQ(n,u); pwrq(b,u,&s); 
-	mulq(t,s,&u); 
+  v = VR(g); n=deg(v,g); m=deg(v,h);
+  norm(g,&a); norm(h,&b);
+  STOQ(m,u); pwrq(a,u,&t); 
+  STOQ(n,u); pwrq(b,u,&s); 
+  mulq(t,s,&u); 
 
-	factorial(n+m,&t); mulq(u,t,&s); 
-	addq(s,s,&f); 
+  factorial(n+m,&t); mulq(u,t,&s); 
+  addq(s,s,&f); 
 
-	wg = W_UMALLOC(m+n); wh = W_UMALLOC(m+n);
-	wt = W_UMALLOC(m+n); ws = W_UMALLOC(m+n);
-	wm = W_UMALLOC(m+n); 
+  wg = W_UMALLOC(m+n); wh = W_UMALLOC(m+n);
+  wt = W_UMALLOC(m+n); ws = W_UMALLOC(m+n);
+  wm = W_UMALLOC(m+n); 
 
-	for ( q = ONE, t = 0, c = 0, index = 0; ; ) {
-		mod = get_lprime(index++);
-		if ( !rem(NM((Q)LC(g)),mod) || !rem(NM((Q)LC(h)),mod) ) 
-			continue;
-		ptomp(mod,g,&tg); ptomp(mod,h,&th);
-		srchump(mod,tg,th,&tr);
-		if ( !tr )
-			continue;
-		else
-			modres = CONT((MQ)tr);
+  for ( q = ONE, t = 0, c = 0, index = 0; ; ) {
+    mod = get_lprime(index++);
+    if ( !rem(NM((Q)LC(g)),mod) || !rem(NM((Q)LC(h)),mod) ) 
+      continue;
+    ptomp(mod,g,&tg); ptomp(mod,h,&th);
+    srchump(mod,tg,th,&tr);
+    if ( !tr )
+      continue;
+    else
+      modres = CONT((MQ)tr);
 
-		mptoum(tg,wg); mptoum(th,wh); 
-		eucum(mod,wg,wh,ws,wt); /* wg * ws + wh * wt = 1 */
-		DEG(wm) = 0; COEF(wm)[0] = modres;
-		mulum(mod,ws,wm,wt);
-		for ( i = DEG(wt); i >= 0; i-- ) 
-			if ( ( COEF(wt)[i] * 2 ) > mod ) 
-				COEF(wt)[i] -= mod;
-		chnrem(mod,v,c,q,wt,&c1,&q1); 
-		if ( !ucmpp(c,c1) ) {
-			mulp(CO,c,g,&z); divsrp(CO,z,h,&zz,&zzz);
-			if ( NUM(zzz) ) {
-				q = q1; c = c1;
-				break;
-			} 
-		}
-		q = q1; c = c1;
+    mptoum(tg,wg); mptoum(th,wh); 
+    eucum(mod,wg,wh,ws,wt); /* wg * ws + wh * wt = 1 */
+    DEG(wm) = 0; COEF(wm)[0] = modres;
+    mulum(mod,ws,wm,wt);
+    for ( i = DEG(wt); i >= 0; i-- ) 
+      if ( ( COEF(wt)[i] * 2 ) > mod ) 
+        COEF(wt)[i] -= mod;
+    chnrem(mod,v,c,q,wt,&c1,&q1); 
+    if ( !ucmpp(c,c1) ) {
+      mulp(CO,c,g,&z); divsrp(CO,z,h,&zz,&zzz);
+      if ( NUM(zzz) ) {
+        q = q1; c = c1;
+        break;
+      } 
+    }
+    q = q1; c = c1;
 
-		if ( cmpq(f,q) < 0 ) 
-			break;
-	}
-	ptozp(c,1,&s,&gc0); 
-	/* gc0*g = zz*h + zzz -> c*g + (-zz)*h = zzz */
-	mulp(CO,gc0,g,&z);
-	divsrp(CO,z,h,&zz,&zzz);
-	ptozp(zz,1,&s,(P *)&t); 
-	if ( INT((Q)s) )
-		chsgnp(zz,&hc0);
-	else {
-		NTOQ(DN((Q)s),1,q); mulq(q,(Q)zzz,&q1); zzz = (P)q1;
-		mulp(CO,gc0,(P)q,&c); gc0 = c; mulp(CO,zz,(P)q,&c); chsgnp(c,&hc0);
-	}
-	if ( !INT((Q)zzz) ) {
-		NTOQ(DN((Q)zzz),1,q); NTOQ(NM((Q)zzz),1,q1); zzz = (P)q1;
-		mulp(CO,gc0,(P)q,&c); gc0 = c; mulp(CO,hc0,(P)q,&c); hc0 = c;
-	}
-	for ( index = 0; ; ) {
-		mod = get_lprime(index++);
-		if ( !rem(NM((Q)zzz),mod) ||
-			!rem(NM((Q)LC(g)),mod) || 
-			!rem(NM((Q)LC(h)),mod) ) 
-			continue;
-		for ( STOQ(mod,q); cmpq(q,bound) < 0; ) {
-			mulq(q,q,&q1); q = q1;
-		}
-		*qp = q;
-		invl((Q)zzz,q,&q1); 
-		mulp(CO,gc0,(P)q1,hcp); mulp(CO,hc0,(P)q1,gcp);
-		return;
-	}
+    if ( cmpq(f,q) < 0 ) 
+      break;
+  }
+  ptozp(c,1,&s,&gc0); 
+  /* gc0*g = zz*h + zzz -> c*g + (-zz)*h = zzz */
+  mulp(CO,gc0,g,&z);
+  divsrp(CO,z,h,&zz,&zzz);
+  ptozp(zz,1,&s,(P *)&t); 
+  if ( INT((Q)s) )
+    chsgnp(zz,&hc0);
+  else {
+    NTOQ(DN((Q)s),1,q); mulq(q,(Q)zzz,&q1); zzz = (P)q1;
+    mulp(CO,gc0,(P)q,&c); gc0 = c; mulp(CO,zz,(P)q,&c); chsgnp(c,&hc0);
+  }
+  if ( !INT((Q)zzz) ) {
+    NTOQ(DN((Q)zzz),1,q); NTOQ(NM((Q)zzz),1,q1); zzz = (P)q1;
+    mulp(CO,gc0,(P)q,&c); gc0 = c; mulp(CO,hc0,(P)q,&c); hc0 = c;
+  }
+  for ( index = 0; ; ) {
+    mod = get_lprime(index++);
+    if ( !rem(NM((Q)zzz),mod) ||
+      !rem(NM((Q)LC(g)),mod) || 
+      !rem(NM((Q)LC(h)),mod) ) 
+      continue;
+    for ( STOQ(mod,q); cmpq(q,bound) < 0; ) {
+      mulq(q,q,&q1); q = q1;
+    }
+    *qp = q;
+    invl((Q)zzz,q,&q1); 
+    mulp(CO,gc0,(P)q1,hcp); mulp(CO,hc0,(P)q1,gcp);
+    return;
+  }
 }
 
 void addm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr)
 {
-	P t;
+  P t;
 
-	addp(vl,n1,n2,&t);
-	if ( !t )
-		*nr = 0;
-	else 
-		cm2p(mod,mod2,t,nr); 
+  addp(vl,n1,n2,&t);
+  if ( !t )
+    *nr = 0;
+  else 
+    cm2p(mod,mod2,t,nr); 
 }
 
 void subm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr)
 {
-	P t;
+  P t;
 
-	subp(vl,n1,n2,&t);
-	if ( !t )
-		*nr = 0;
-	else 
-		cm2p(mod,mod2,t,nr); 
+  subp(vl,n1,n2,&t);
+  if ( !t )
+    *nr = 0;
+  else 
+    cm2p(mod,mod2,t,nr); 
 }
 
 void mulm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr)
 {
-	P t;
+  P t;
 
-	mulp(vl,n1,n2,&t);
-	if ( !t )
-		*nr = 0;
-	else 
-		cm2p(mod,mod2,t,nr); 
+  mulp(vl,n1,n2,&t);
+  if ( !t )
+    *nr = 0;
+  else 
+    cm2p(mod,mod2,t,nr); 
 }
 
 void cmp(Q mod,P p,P *pr)
 {
-	P t;
-	DCP dc,dcr,dcr0;
+  P t;
+  DCP dc,dcr,dcr0;
 
-	if ( !p ) 
-		*pr = 0;
-	else if ( NUM(p) )
-		remq((Q)p,mod,(Q *)pr);
-	else {
-		for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
-			cmp(mod,COEF(dc),&t);
-			if ( t ) {
-				NEXTDC(dcr0,dcr);
-				DEG(dcr) = DEG(dc);
-				COEF(dcr) = t;
-			}
-		}
-		if ( !dcr0 ) 
-			*pr = 0;
-		else {
-			NEXT(dcr) = 0;
-			MKP(VR(p),dcr0,*pr);
-		}
-	}
+  if ( !p ) 
+    *pr = 0;
+  else if ( NUM(p) )
+    remq((Q)p,mod,(Q *)pr);
+  else {
+    for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
+      cmp(mod,COEF(dc),&t);
+      if ( t ) {
+        NEXTDC(dcr0,dcr);
+        DEG(dcr) = DEG(dc);
+        COEF(dcr) = t;
+      }
+    }
+    if ( !dcr0 ) 
+      *pr = 0;
+    else {
+      NEXT(dcr) = 0;
+      MKP(VR(p),dcr0,*pr);
+    }
+  }
 }
 
 void cm2p(Q mod,Q m,P p,P *pr)
 {
-	P t;
-	DCP dc,dcr,dcr0;
+  P t;
+  DCP dc,dcr,dcr0;
 
-	if ( !p ) 
-		*pr = 0;
-	else if ( NUM(p) ) 
-		rem2q((Q)p,mod,m,(Q *)pr);
-	else {
-		for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
-			cm2p(mod,m,COEF(dc),&t);
-			if ( t ) {
-				NEXTDC(dcr0,dcr);
-				DEG(dcr) = DEG(dc);
-				COEF(dcr) = t;
-			}
-		}
-		if ( !dcr0 ) 
-			*pr = 0;
-		else {
-			NEXT(dcr) = 0;
-			MKP(VR(p),dcr0,*pr);
-		} 
-	}
+  if ( !p ) 
+    *pr = 0;
+  else if ( NUM(p) ) 
+    rem2q((Q)p,mod,m,(Q *)pr);
+  else {
+    for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
+      cm2p(mod,m,COEF(dc),&t);
+      if ( t ) {
+        NEXTDC(dcr0,dcr);
+        DEG(dcr) = DEG(dc);
+        COEF(dcr) = t;
+      }
+    }
+    if ( !dcr0 ) 
+      *pr = 0;
+    else {
+      NEXT(dcr) = 0;
+      MKP(VR(p),dcr0,*pr);
+    } 
+  }
 }
 
 void addm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr)
 {
-	Q t;
+  Q t;
 
-	addq(n1,n2,&t);
-	if ( !t )
-		*nr = 0;
-	else 
-		rem2q(t,mod,mod2,nr); 
+  addq(n1,n2,&t);
+  if ( !t )
+    *nr = 0;
+  else 
+    rem2q(t,mod,mod2,nr); 
 }
 
 void subm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr)
 {
-	Q t;
+  Q t;
 
-	subq(n1,n2,&t);
-	if ( !t )
-		*nr = 0;
-	else 
-		rem2q(t,mod,mod2,nr); 
+  subq(n1,n2,&t);
+  if ( !t )
+    *nr = 0;
+  else 
+    rem2q(t,mod,mod2,nr); 
 }
 
 void mulm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr)
 {
-	Q t;
+  Q t;
 
-	mulq(n1,n2,&t);
-	if ( !t )
-		*nr = 0;
-	else 
-		rem2q(t,mod,mod2,nr); 
+  mulq(n1,n2,&t);
+  if ( !t )
+    *nr = 0;
+  else 
+    rem2q(t,mod,mod2,nr); 
 }
 
 void rem2q(Q n,Q m,Q m2,Q *nr)
 {
-	N q,r,s;
-	int sgn;
+  N q,r,s;
+  int sgn;
 
-	divn(NM(n),NM(m),&q,&r);
-	if ( !r ) 
-		*nr = 0;
-	else {
-		sgn = cmpn(r,NM(m2));
-		if ( sgn > 0 ) {
-			subn(NM(m),r,&s); NTOQ(s,-1*SGN(n),*nr);
-		} else 
-			NTOQ(r,SGN(n),*nr);
-	}
+  divn(NM(n),NM(m),&q,&r);
+  if ( !r ) 
+    *nr = 0;
+  else {
+    sgn = cmpn(r,NM(m2));
+    if ( sgn > 0 ) {
+      subn(NM(m),r,&s); NTOQ(s,-1*SGN(n),*nr);
+    } else 
+      NTOQ(r,SGN(n),*nr);
+  }
 }
 
 /* 
-	extract d-homogeneous part with respect to vl - {v}
+  extract d-homogeneous part with respect to vl - {v}
 */
 
 void exthpc_generic(VL vl,P p,int d,V v,P *pr)
 {
-	P w,x,t,t1,a,xd;
-	V v0;
-	DCP dc;
+  P w,x,t,t1,a,xd;
+  V v0;
+  DCP dc;
 
-	if ( d < 0 || !p )
-		*pr = 0;
-	else if ( NUM(p) )
-		if ( d == 0 )
-			*pr = p;
-		else
-			*pr = 0;
-	else if ( v == VR(p) )
-		exthpc(vl,v,p,d,pr);
-	else {
-		v0 = VR(p);
-		for ( MKV(v0,x), dc = DC(p), w = 0; dc; dc = NEXT(dc) ) {
-			exthpc_generic(vl,COEF(dc),d-QTOS(DEG(dc)),v,&t);
-			pwrp(vl,x,DEG(dc),&xd);
-			mulp(vl,xd,t,&t1); addp(vl,w,t1,&a); w = a;
-		}
-		*pr = w;
-	}
+  if ( d < 0 || !p )
+    *pr = 0;
+  else if ( NUM(p) )
+    if ( d == 0 )
+      *pr = p;
+    else
+      *pr = 0;
+  else if ( v == VR(p) )
+    exthpc(vl,v,p,d,pr);
+  else {
+    v0 = VR(p);
+    for ( MKV(v0,x), dc = DC(p), w = 0; dc; dc = NEXT(dc) ) {
+      exthpc_generic(vl,COEF(dc),d-QTOS(DEG(dc)),v,&t);
+      pwrp(vl,x,DEG(dc),&xd);
+      mulp(vl,xd,t,&t1); addp(vl,w,t1,&a); w = a;
+    }
+    *pr = w;
+  }
 }
 
 void exthp(VL vl,P p,int d,P *pr)
 {
-	P t,t1,a,w,x,xd;
-	DCP dc;
+  P t,t1,a,w,x,xd;
+  DCP dc;
 
-	if ( d < 0 ) 
-		*pr = 0;
-	else if ( NUM(p) )
-		if ( d == 0 ) 
-			*pr = p;
-		else 
-			*pr = 0;
-	else {
-		for ( MKV(VR(p),x), dc = DC(p), w = 0; dc; dc = NEXT(dc) ) {
-			exthp(vl,COEF(dc),d - QTOS(DEG(dc)),&t);
-			pwrp(vl,x,DEG(dc),&xd); 
-			mulp(vl,xd,t,&t1); addp(vl,w,t1,&a); w = a;
-		}
-		*pr = w;
-	}
+  if ( d < 0 ) 
+    *pr = 0;
+  else if ( NUM(p) )
+    if ( d == 0 ) 
+      *pr = p;
+    else 
+      *pr = 0;
+  else {
+    for ( MKV(VR(p),x), dc = DC(p), w = 0; dc; dc = NEXT(dc) ) {
+      exthp(vl,COEF(dc),d - QTOS(DEG(dc)),&t);
+      pwrp(vl,x,DEG(dc),&xd); 
+      mulp(vl,xd,t,&t1); addp(vl,w,t1,&a); w = a;
+    }
+    *pr = w;
+  }
 }
 
 void exthpc(VL vl,V v,P p,int d,P *pr)
 {
-	P t,t1,a,w,x,xd;
-	DCP dc;
+  P t,t1,a,w,x,xd;
+  DCP dc;
 
-	if ( v != VR(p) ) 
-		exthp(vl,p,d,pr);
-	else if ( d < 0 ) 
-		*pr = 0;
-	else {
-		for ( MKV(v,x), dc = DC(p), w = 0; dc; dc = NEXT(dc) ) {
-			exthp(vl,COEF(dc),d,&t);
-			pwrp(vl,x,DEG(dc),&xd);
-			mulp(vl,xd,t,&t1); addp(vl,w,t1,&a); w = a;
-		}
-		*pr = w;
-	}
+  if ( v != VR(p) ) 
+    exthp(vl,p,d,pr);
+  else if ( d < 0 ) 
+    *pr = 0;
+  else {
+    for ( MKV(v,x), dc = DC(p), w = 0; dc; dc = NEXT(dc) ) {
+      exthp(vl,COEF(dc),d,&t);
+      pwrp(vl,x,DEG(dc),&xd);
+      mulp(vl,xd,t,&t1); addp(vl,w,t1,&a); w = a;
+    }
+    *pr = w;
+  }
 }
 
 void cbound(VL vl,P p,Q *b)
 {
-	Q n,e,t,m;
-	int k;
+  Q n,e,t,m;
+  int k;
 
-	cmax(p,&n);
-	addq(n,n,&m); 
+  cmax(p,&n);
+  addq(n,n,&m); 
 
-	k = geldb(vl,p);
-	STOQ(3,t); STOQ(k,e);
+  k = geldb(vl,p);
+  STOQ(3,t); STOQ(k,e);
 
-	pwrq(t,e,&n);
-	mulq(m,n,b); 
+  pwrq(t,e,&n);
+  mulq(m,n,b); 
 }
 
 int geldb(VL vl,P p)
 {
-	int m;
+  int m;
 
-	for ( m = 0; vl; vl = NEXT(vl) ) 
-		m += getdeg(vl->v,p);
-	return ( m );
+  for ( m = 0; vl; vl = NEXT(vl) ) 
+    m += getdeg(vl->v,p);
+  return ( m );
 }
 
 int getdeg(V v,P p)
 {
-	int m,t;
-	DCP dc;
-	
-	if ( !p || NUM(p) ) 
-		return ( 0 );
-	else if ( v == VR(p) ) 
-		return ( deg(v,p) );
-	else {
-		for ( dc = DC(p), m = 0; dc; dc = NEXT(dc) ) {
-			t = getdeg(v,COEF(dc));
-			m = MAX(m,t);
-		}
-		return ( m );
-	}
+  int m,t;
+  DCP dc;
+  
+  if ( !p || NUM(p) ) 
+    return ( 0 );
+  else if ( v == VR(p) ) 
+    return ( deg(v,p) );
+  else {
+    for ( dc = DC(p), m = 0; dc; dc = NEXT(dc) ) {
+      t = getdeg(v,COEF(dc));
+      m = MAX(m,t);
+    }
+    return ( m );
+  }
 }
 
 void cmax(P p,Q *b)
 {
-	DCP dc;
-	Q m,m1;
-	N tn;
+  DCP dc;
+  Q m,m1;
+  N tn;
 
-	if ( NUM(p) ) {
-		tn = NM((Q)p);
-		NTOQ(tn,1,*b);
-	} else {
-		for ( dc = DC(p), m = 0; dc; dc = NEXT(dc) ) {
-			cmax(COEF(dc),&m1);
-			if ( cmpq(m1,m) > 0 ) 
-				m = m1;
-		}
-		*b = m;
-	}
+  if ( NUM(p) ) {
+    tn = NM((Q)p);
+    NTOQ(tn,1,*b);
+  } else {
+    for ( dc = DC(p), m = 0; dc; dc = NEXT(dc) ) {
+      cmax(COEF(dc),&m1);
+      if ( cmpq(m1,m) > 0 ) 
+        m = m1;
+    }
+    *b = m;
+  }
 }
 
 int nextbin(VN vn,int n)
 {
-	int tmp,i,carry;
+  int tmp,i,carry;
 
-	if ( n == 0 ) 
-		return ( 1 );
+  if ( n == 0 ) 
+    return ( 1 );
 
-	for ( i = n - 1, carry = 1; i >= 0; i-- ) {
-		tmp =  vn[i].n + carry;
-		vn[i].n = tmp % 2;
-		carry = tmp / 2;
-	}
-	return ( carry );
+  for ( i = n - 1, carry = 1; i >= 0; i-- ) {
+    tmp =  vn[i].n + carry;
+    vn[i].n = tmp % 2;
+    carry = tmp / 2;
+  }
+  return ( carry );
 }
 
 void mulsgn(VN vn,VN vnt,int n,VN vn1)
 {
-	int i;
+  int i;
 
-	for ( i = 0; vn[i].v; i++ ) 
-		vn1[i].n = vn[i].n;
-	for ( i = 0; i < n; i++ ) 
-		if ( vnt[i].n ) 
-			vn1[(int)vnt[i].v].n *= -1;
+  for ( i = 0; vn[i].v; i++ ) 
+    vn1[i].n = vn[i].n;
+  for ( i = 0; i < n; i++ ) 
+    if ( vnt[i].n ) 
+      vn1[(int)vnt[i].v].n *= -1;
 }
 
 void next(VN vn)
 {
-	int i,m,n,tmp,carry;
+  int i,m,n,tmp,carry;
 
-	for ( m = 0, i = 0; vn[i].v; i++ ) 
-		m = MAX(m,ABS(vn[i].n));
-	if ( m == 0 ) {
-		vn[--i].n = 1;
-		return;
-	}
-	for ( carry = 1, m++, i--; ( i >= 0 ) && carry; i-- ) {
-		tmp = vn[i].n + carry;
-		vn[i].n = tmp % m;
-		carry = tmp / m;
-	}
-	if ( ( i == -1 ) && carry ) {
-		for ( i = 0; vn[i].v; i++ ) 
-			vn[i].n = 0;
-		vn[--i].n = m;
-	} else {
-		for ( n = 0, i = 0; vn[i].v; i++ ) 
-			n = MAX(n,ABS(vn[i].n));
-		if ( n < m - 1 ) 
-			vn[--i].n = m - 1;
-	}
+  for ( m = 0, i = 0; vn[i].v; i++ ) 
+    m = MAX(m,ABS(vn[i].n));
+  if ( m == 0 ) {
+    vn[--i].n = 1;
+    return;
+  }
+  for ( carry = 1, m++, i--; ( i >= 0 ) && carry; i-- ) {
+    tmp = vn[i].n + carry;
+    vn[i].n = tmp % m;
+    carry = tmp / m;
+  }
+  if ( ( i == -1 ) && carry ) {
+    for ( i = 0; vn[i].v; i++ ) 
+      vn[i].n = 0;
+    vn[--i].n = m;
+  } else {
+    for ( n = 0, i = 0; vn[i].v; i++ ) 
+      n = MAX(n,ABS(vn[i].n));
+    if ( n < m - 1 ) 
+      vn[--i].n = m - 1;
+  }
 }
-		
+    
 void clctv(VL vl,P p,VL *nvlp)
 {
-	int i,n;
-	VL tvl;
-	VN tvn;
+  int i,n;
+  VL tvl;
+  VN tvn;
 
-	if ( !p || NUM(p) ) {
-		*nvlp = 0;
-		return;
-	}
+  if ( !p || NUM(p) ) {
+    *nvlp = 0;
+    return;
+  }
 
-	for ( n = 0, tvl = vl; tvl; tvl = NEXT(tvl), n++ );
-	tvn = (VN) ALLOCA((n+1)*sizeof(struct oVN));
-	for ( i = 0, tvl = vl; tvl; tvl = NEXT(tvl), i++ ) {
-		tvn[i].v = tvl->v;
-		tvn[i].n = 0;
-	}
+  for ( n = 0, tvl = vl; tvl; tvl = NEXT(tvl), n++ );
+  tvn = (VN) ALLOCA((n+1)*sizeof(struct oVN));
+  for ( i = 0, tvl = vl; tvl; tvl = NEXT(tvl), i++ ) {
+    tvn[i].v = tvl->v;
+    tvn[i].n = 0;
+  }
 
-	markv(tvn,n,p);
-	vntovl(tvn,n,nvlp);
+  markv(tvn,n,p);
+  vntovl(tvn,n,nvlp);
 }
 
 void markv(VN vn,int n,P p)
 {
-	V v;
-	DCP dc;
-	int i;
+  V v;
+  DCP dc;
+  int i;
 
-	if ( NUM(p) ) 
-		return;
-	v = VR(p);
-	for ( i = 0, v = VR(p); i < n; i++ ) 
-		if ( v == vn[i].v ) {
-			vn[i].n = 1;
-			break;
-		}
-	for ( dc = DC(p); dc; dc = NEXT(dc) ) 
-		markv(vn,n,COEF(dc));
+  if ( NUM(p) ) 
+    return;
+  v = VR(p);
+  for ( i = 0, v = VR(p); i < n; i++ ) 
+    if ( v == vn[i].v ) {
+      vn[i].n = 1;
+      break;
+    }
+  for ( dc = DC(p); dc; dc = NEXT(dc) ) 
+    markv(vn,n,COEF(dc));
 }
-			
+      
 void vntovl(VN vn,int n,VL *vlp)
 {
-	int i;
-	VL tvl,tvl0;
+  int i;
+  VL tvl,tvl0;
 
-	for ( i = 0, tvl0 = 0; ; ) {
-		while ( ( i < n ) && ( vn[i].n == 0 ) ) i++;
-		if ( i == n ) 
-			break;
-		else {
-			if ( !tvl0 ) {
-				NEWVL(tvl0);
-				tvl = tvl0;
-			} else {
-				NEWVL(NEXT(tvl));
-				tvl = NEXT(tvl);
-			}
-			tvl->v = vn[i++].v;	
-		}
-	}
-	if ( tvl0 ) 
-		NEXT(tvl) = 0;
-	*vlp = tvl0;
+  for ( i = 0, tvl0 = 0; ; ) {
+    while ( ( i < n ) && ( vn[i].n == 0 ) ) i++;
+    if ( i == n ) 
+      break;
+    else {
+      if ( !tvl0 ) {
+        NEWVL(tvl0);
+        tvl = tvl0;
+      } else {
+        NEWVL(NEXT(tvl));
+        tvl = NEXT(tvl);
+      }
+      tvl->v = vn[i++].v;  
+    }
+  }
+  if ( tvl0 ) 
+    NEXT(tvl) = 0;
+  *vlp = tvl0;
 }
 
 int dbound(V v,P f)
 {
-	int m,t;
-	DCP dc;
+  int m,t;
+  DCP dc;
 
-	if ( !f ) 
-		return ( -1 );
-	else if ( v != VR(f) ) 
-		return homdeg(f);
-	else {
-		for ( dc = DC(f), m = 0; dc; dc = NEXT(dc) ) {
-			t = homdeg(COEF(dc));
-			m = MAX(m,t);
-		}
-		return ( m );
-	}
+  if ( !f ) 
+    return ( -1 );
+  else if ( v != VR(f) ) 
+    return homdeg(f);
+  else {
+    for ( dc = DC(f), m = 0; dc; dc = NEXT(dc) ) {
+      t = homdeg(COEF(dc));
+      m = MAX(m,t);
+    }
+    return ( m );
+  }
 }
 
 int homdeg(P f)
 {
-	int m,t;
-	DCP dc;
+  int m,t;
+  DCP dc;
 
-	if ( !f ) 
-		return ( -1 );
-	else if ( NUM(f) ) 
-		return( 0 );
-	else {
-		for ( dc = DC(f), m = 0; dc; dc = NEXT(dc) ) {
-			t = QTOS(DEG(dc))+homdeg(COEF(dc));
-			m = MAX(m,t);
-		}
-		return ( m );
-	}
+  if ( !f ) 
+    return ( -1 );
+  else if ( NUM(f) ) 
+    return( 0 );
+  else {
+    for ( dc = DC(f), m = 0; dc; dc = NEXT(dc) ) {
+      t = QTOS(DEG(dc))+homdeg(COEF(dc));
+      m = MAX(m,t);
+    }
+    return ( m );
+  }
 }
 
 int minhomdeg(P f)
 {
-	int m,t;
-	DCP dc;
+  int m,t;
+  DCP dc;
 
-	if ( !f ) 
-		return ( -1 );
-	else if ( NUM(f) ) 
-		return( 0 );
-	else {
-		for ( dc = DC(f), m = homdeg(f); dc; dc = NEXT(dc) ) {
-			t = QTOS(DEG(dc))+minhomdeg(COEF(dc));
-			m = MIN(m,t);
-		}
-		return ( m );
-	}
+  if ( !f ) 
+    return ( -1 );
+  else if ( NUM(f) ) 
+    return( 0 );
+  else {
+    for ( dc = DC(f), m = homdeg(f); dc; dc = NEXT(dc) ) {
+      t = QTOS(DEG(dc))+minhomdeg(COEF(dc));
+      m = MIN(m,t);
+    }
+    return ( m );
+  }
 }
 
 void adjc(VL vl,P f,P a,P lc0,Q q,P *fr,P *ar)
 {
-	P m,m1;
-	Q t;
+  P m,m1;
+  Q t;
 
-	invl((Q)LC(f),q,&t);
-	mulq((Q)lc0,t,(Q *)&m); 
-	mulpq(f,m,&m1); cmp(q,m1,fr); 
-	invl((Q)m,q,&t); 
-	mulpq(a,(P)t,&m1); 
-	cmp(q,m1,ar); 
+  invl((Q)LC(f),q,&t);
+  mulq((Q)lc0,t,(Q *)&m); 
+  mulpq(f,m,&m1); cmp(q,m1,fr); 
+  invl((Q)m,q,&t); 
+  mulpq(a,(P)t,&m1); 
+  cmp(q,m1,ar); 
 }
 
 #if 1
 void affinemain(VL vl,P p,V v0,int n,P *pl,P *pr)
 {
-	P x,t,m,c,s,a;
-	DCP dc;
-	Q d;
+  P x,t,m,c,s,a;
+  DCP dc;
+  Q d;
 
-	if ( !p ) 
-		*pr = 0;
-	else if ( NUM(p) )
-		*pr = p;
-	else if ( VR(p) != v0 ) {
-		MKV(VR(p),x);
-		for ( c = 0, dc = DC(p); dc; dc = NEXT(dc) ) {
-			affinemain(vl,COEF(dc),v0,n,pl,&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 {
-		dc = DC(p);
-		c = COEF(dc);
-		for ( d = DEG(dc), dc = NEXT(dc); 
-			dc; d = DEG(dc), dc = NEXT(dc) ) {
-				mulp(vl,pl[QTOS(d)-QTOS(DEG(dc))],c,&m); 
-				addp(vl,m,COEF(dc),&c); 
-		}
-		if ( d ) {
-			mulp(vl,pl[QTOS(d)],c,&m); c = m;
-		}
-		*pr = c;
-	}
+  if ( !p ) 
+    *pr = 0;
+  else if ( NUM(p) )
+    *pr = p;
+  else if ( VR(p) != v0 ) {
+    MKV(VR(p),x);
+    for ( c = 0, dc = DC(p); dc; dc = NEXT(dc) ) {
+      affinemain(vl,COEF(dc),v0,n,pl,&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 {
+    dc = DC(p);
+    c = COEF(dc);
+    for ( d = DEG(dc), dc = NEXT(dc); 
+      dc; d = DEG(dc), dc = NEXT(dc) ) {
+        mulp(vl,pl[QTOS(d)-QTOS(DEG(dc))],c,&m); 
+        addp(vl,m,COEF(dc),&c); 
+    }
+    if ( d ) {
+      mulp(vl,pl[QTOS(d)],c,&m); c = m;
+    }
+    *pr = c;
+  }
 }
 #endif
 
 #if 0
 affine(VL vl,P p,VN vn,P *r)
 {
-	int n,d,d1,i;
-	Q *q;
-	Q **bc;
+  int n,d,d1,i;
+  Q *q;
+  Q **bc;
 
-	if ( !p || NUM(p) )
-		*r = p;
-	else {
-		for ( i = 0, d = 0; vn[i].v; i++ )
-			d1 = getdeg(vn[i].v,p), d = MAX(d,d1);
-		W_CALLOC(d+1,Q *,bc);
-		for ( i = 0; i <= d; i++ )
-			W_CALLOC(i+1,Q,q), mkbc(i,q), bc[i] = q;
-		afmain(vl,bc,p,vn,r);
-	}
+  if ( !p || NUM(p) )
+    *r = p;
+  else {
+    for ( i = 0, d = 0; vn[i].v; i++ )
+      d1 = getdeg(vn[i].v,p), d = MAX(d,d1);
+    W_CALLOC(d+1,Q *,bc);
+    for ( i = 0; i <= d; i++ )
+      W_CALLOC(i+1,Q,q), mkbc(i,q), bc[i] = q;
+    afmain(vl,bc,p,vn,r);
+  }
 }
 
 afmain(VL vl,Q **bc,P p,VN vn,P *r)
 {
-	P t,s,u;
-	P *c,*rc;
-	Q *q;
-	DCP dc;
-	int n,i,j;
-	
-	if ( !p || NUM(p) || !vn[0].v )
-		*r = p;
-	else if ( vn[0].v != VR(p) ) {
-		for ( i = 0; vn[i].v && (vn[i].v != VR(p)); i++ );
-		if ( vn[i].v )
-			afmain(vl,bc,p,vn+i,r);
-		else {
-			n = QTOS(DEG(DC(p))); W_CALLOC(n+1,P,c);
-			for ( dc = DC(p); dc; dc = NEXT(dc) )
-				afmain(vl,bc,COEF(dc),vn,&c[QTOS(DEG(dc))]);
-			plisttop(c,VR(p),n,r);
-		}
-	} else {
-		n = QTOS(DEG(DC(p))); W_CALLOC(n+1,P,c); 
-		W_CALLOC(n+1,P,rc); W_CALLOC(n+1,Q,q);
-		for ( dc = DC(p); dc; dc = NEXT(dc) )
-			afmain(vl,bc,COEF(dc),vn+1,&c[QTOS(DEG(dc))]);
-		if ( !vn[0].n )
-			bcopy(c,rc,sizeof(P)*(n+1));
-		else {	
-			for ( q[0] = ONE, STOQ(vn[0].n,q[1]), i = 2; i <= n; i++ )
-				mulq(q[i-1],q[1],&q[i]);
-			for ( j = 0; j <= n; rc[j] = t, j++ )
-				for ( i = j, t = 0; i <= n; i++ )
-					if ( c[i] )
-						mulq(bc[i][j],q[i-j],&s), mulp(vl,s,c[i],&u),
-						addp(CO,u,t,&s), t = s;
-		}
-		plisttop(rc,VR(p),n,r);
-	}
+  P t,s,u;
+  P *c,*rc;
+  Q *q;
+  DCP dc;
+  int n,i,j;
+  
+  if ( !p || NUM(p) || !vn[0].v )
+    *r = p;
+  else if ( vn[0].v != VR(p) ) {
+    for ( i = 0; vn[i].v && (vn[i].v != VR(p)); i++ );
+    if ( vn[i].v )
+      afmain(vl,bc,p,vn+i,r);
+    else {
+      n = QTOS(DEG(DC(p))); W_CALLOC(n+1,P,c);
+      for ( dc = DC(p); dc; dc = NEXT(dc) )
+        afmain(vl,bc,COEF(dc),vn,&c[QTOS(DEG(dc))]);
+      plisttop(c,VR(p),n,r);
+    }
+  } else {
+    n = QTOS(DEG(DC(p))); W_CALLOC(n+1,P,c); 
+    W_CALLOC(n+1,P,rc); W_CALLOC(n+1,Q,q);
+    for ( dc = DC(p); dc; dc = NEXT(dc) )
+      afmain(vl,bc,COEF(dc),vn+1,&c[QTOS(DEG(dc))]);
+    if ( !vn[0].n )
+      bcopy(c,rc,sizeof(P)*(n+1));
+    else {  
+      for ( q[0] = ONE, STOQ(vn[0].n,q[1]), i = 2; i <= n; i++ )
+        mulq(q[i-1],q[1],&q[i]);
+      for ( j = 0; j <= n; rc[j] = t, j++ )
+        for ( i = j, t = 0; i <= n; i++ )
+          if ( c[i] )
+            mulq(bc[i][j],q[i-j],&s), mulp(vl,s,c[i],&u),
+            addp(CO,u,t,&s), t = s;
+    }
+    plisttop(rc,VR(p),n,r);
+  }
 }
 #endif
 
 void restore(VL vl,P f,VN vn,P *fr)
 {
-	int i;
-	P vv,g,g1,t;
-	Q s;
+  int i;
+  P vv,g,g1,t;
+  Q s;
 
-	g = f;
-	for ( i = 0; vn[i].v; i++ ) {
-		MKV(vn[i].v,t);
-		if ( vn[i].n ) {
-			STOQ(-vn[i].n,s);
-			addp(vl,t,(P)s,&vv);
-		} else 
-			vv = t;
+  g = f;
+  for ( i = 0; vn[i].v; i++ ) {
+    MKV(vn[i].v,t);
+    if ( vn[i].n ) {
+      STOQ(-vn[i].n,s);
+      addp(vl,t,(P)s,&vv);
+    } else 
+      vv = t;
 
-		substp(vl,g,vn[i].v,vv,&g1); g = g1;
-	}
-	*fr = g;
+    substp(vl,g,vn[i].v,vv,&g1); g = g1;
+  }
+  *fr = g;
 }
 
 void mergev(VL vl,VL vl1,VL vl2,VL *nvlp)
 {
-	int i,n;
-	VL tvl;
-	VN vn;
+  int i,n;
+  VL tvl;
+  VN vn;
 
-	if ( !vl1 ) {
-		*nvlp = vl2; return;
-	} else if ( !vl2 ) {
-		*nvlp = vl1; return;
-	}
-	for ( i = 0, tvl = vl; tvl; i++, tvl = NEXT(tvl) ); 
-	n = i;
-	W_CALLOC(n,struct oVN,vn);
-	for ( i = 0, tvl = vl; tvl; tvl = NEXT(tvl), i++ )
-		vn[i].v = tvl->v;
-	for ( i = 0, tvl = vl1; (i < n) && tvl; i++, tvl = NEXT(tvl)) {
-		while ( ( i < n ) && ( vn[i].v != tvl->v ) ) 
-			i++;
-		if ( i == n ) 
-			break;
-		else 
-			vn[i].n = 1;
-	}
-	for ( i = 0, tvl = vl2; (i < n) && tvl; i++, tvl = NEXT(tvl) ) {
-		while ( ( i < n ) && ( vn[i].v != tvl->v ) ) 
-			i++;
-		if ( i == n ) 
-			break;
-		else 
-			vn[i].n = 1;
-	}
-	vntovl(vn,n,nvlp);
+  if ( !vl1 ) {
+    *nvlp = vl2; return;
+  } else if ( !vl2 ) {
+    *nvlp = vl1; return;
+  }
+  for ( i = 0, tvl = vl; tvl; i++, tvl = NEXT(tvl) ); 
+  n = i;
+  W_CALLOC(n,struct oVN,vn);
+  for ( i = 0, tvl = vl; tvl; tvl = NEXT(tvl), i++ )
+    vn[i].v = tvl->v;
+  for ( i = 0, tvl = vl1; (i < n) && tvl; i++, tvl = NEXT(tvl)) {
+    while ( ( i < n ) && ( vn[i].v != tvl->v ) ) 
+      i++;
+    if ( i == n ) 
+      break;
+    else 
+      vn[i].n = 1;
+  }
+  for ( i = 0, tvl = vl2; (i < n) && tvl; i++, tvl = NEXT(tvl) ) {
+    while ( ( i < n ) && ( vn[i].v != tvl->v ) ) 
+      i++;
+    if ( i == n ) 
+      break;
+    else 
+      vn[i].n = 1;
+  }
+  vntovl(vn,n,nvlp);
 }
 
 #if 0
 void substvp(VL vl,P f,VN vn,P *g)
 {
-	V v;
-	int i;
-	P h,h1;
-	Q t;
+  V v;
+  int i;
+  P h,h1;
+  Q t;
 
-	h = f;
-	for ( i = 0; v = vn[i].v; i++ ) {
-		STOQ(vn[i].n,t);
-		substp(vl,h,v,(P)t,&h1); h = h1;
-	}
-	*g = h;
+  h = f;
+  for ( i = 0; v = vn[i].v; i++ ) {
+    STOQ(vn[i].n,t);
+    substp(vl,h,v,(P)t,&h1); h = h1;
+  }
+  *g = h;
 }
 
 void affine(VL vl,P f,VN vn,P *fr)
 {
-	int i,j,n;
-	P vv,g,g1,t,u;
-	Q s;
-	int *dlist;
-	P **plist;
+  int i,j,n;
+  P vv,g,g1,t,u;
+  Q s;
+  int *dlist;
+  P **plist;
 
-	for ( n = 0; vn[n].v; n++);
-	dlist = (int *)ALLOCA((n+1)*sizeof(int));	
-	plist = (P **)ALLOCA((n+1)*sizeof(P *));	
-	for ( i = 0; vn[i].v; i++ ) {
-		if ( !vn[i].n )
-			continue;
-		dlist[i] = getdeg(vn[i].v,f); 
-		plist[i] = (P *)ALLOCA((dlist[i]+1)*sizeof(P));
+  for ( n = 0; vn[n].v; n++);
+  dlist = (int *)ALLOCA((n+1)*sizeof(int));  
+  plist = (P **)ALLOCA((n+1)*sizeof(P *));  
+  for ( i = 0; vn[i].v; i++ ) {
+    if ( !vn[i].n )
+      continue;
+    dlist[i] = getdeg(vn[i].v,f); 
+    plist[i] = (P *)ALLOCA((dlist[i]+1)*sizeof(P));
 
-		MKV(vn[i].v,t);
-		if ( vn[i].n ) {
-			STOQ(vn[i].n,s); addp(vl,t,(P)s,&vv); 
-		} else 
-			vv = t;
+    MKV(vn[i].v,t);
+    if ( vn[i].n ) {
+      STOQ(vn[i].n,s); addp(vl,t,(P)s,&vv); 
+    } else 
+      vv = t;
 
-		for ( j = 0, t = (P)ONE; j < dlist[i]; j++ ) {
-			plist[i][j] = t;
-			mulp(vl,t,vv,&u);
-			t = u;
-		}
-		plist[i][j] = t;
-	}
+    for ( j = 0, t = (P)ONE; j < dlist[i]; j++ ) {
+      plist[i][j] = t;
+      mulp(vl,t,vv,&u);
+      t = u;
+    }
+    plist[i][j] = t;
+  }
 
-	g = f;
-	for ( i = 0; vn[i].v; i++ ) {
-		if ( !vn[i].n )
-			continue;
-		affinemain(vl,g,vn[i].v,dlist[i],plist[i],&g1); g = g1;
-	}
-	*fr = g;
+  g = f;
+  for ( i = 0; vn[i].v; i++ ) {
+    if ( !vn[i].n )
+      continue;
+    affinemain(vl,g,vn[i].v,dlist[i],plist[i],&g1); g = g1;
+  }
+  *fr = g;
 }
 #endif