===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/include/ca.h,v
retrieving revision 1.12
retrieving revision 1.88
diff -u -p -r1.12 -r1.88
--- OpenXM_contrib2/asir2000/include/ca.h	2001/03/13 01:10:26	1.12
+++ OpenXM_contrib2/asir2000/include/ca.h	2015/03/15 19:30:46	1.88
@@ -45,17 +45,20 @@
  * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
  * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
  *
- * $OpenXM: OpenXM_contrib2/asir2000/include/ca.h,v 1.11 2000/12/22 10:03:29 saito Exp $ 
+ * $OpenXM: OpenXM_contrib2/asir2000/include/ca.h,v 1.87 2014/08/19 06:35:01 noro Exp $ 
 */
 #include <stdio.h>
+#include <stdlib.h>
+#include <gmp.h>
 
 #if defined(hpux)
 #include <netinet/in.h>
 # define setbuffer(FP,buf,siz) setvbuf(FP,buf,_IOFBF,siz)
 #endif
 
-#if defined(VISUAL)
-#include <stdlib.h>
+#if !defined(VISUAL)
+#include <unistd.h>
+#include <sys/param.h>
 #endif
 
 #if defined(linux) || (defined(sun) && !defined(SYSV)) || defined(news5000) || (defined(mips) && defined(ultrix))
@@ -67,6 +70,7 @@
 #endif
 
 #if defined(VISUAL)
+#include <limits.h>
 #include <malloc.h>
 #endif
 
@@ -75,15 +79,24 @@
 typedef caddr_t pointer;
 #endif
 
+
 typedef void * pointer;
 
-#if defined(VISUAL)
+#if defined(sun)
+#include <strings.h>
+#else
 #include <string.h>
+#if defined(VISUAL)
 #define index(s,c) strchr(s,c)
 #define bzero(s,len) memset(s,0,len)
 #define bcopy(x,y,len) memcpy(y,x,len)
 #endif
+#endif
 
+#define NULLP ((void *)0)
+
+#define TODO		printf("%s: not implemented!\n", __func__)
+
 #define COPY(a,b) ((b)=(a))
 #define FREEN(p) 
 #define FREEQ(p) 
@@ -108,41 +121,75 @@ typedef void * pointer;
 #define O_F 14
 #define O_GFMMAT 15
 #define O_BYTEARRAY 16
+#define O_QUOTE 17
+#define O_OPTLIST 18
+#define O_SYMBOL 19
+#define O_RANGE 20
+#define O_TB 21
+#define O_DPV 22
+#define O_QUOTEARG 23
 #define O_VOID -1
+/* IMAT */
+#define O_IMAT 24
+/* IMAT */
+#define O_NBP 25
 
 #define N_Q 0
 #define N_R 1
 #define N_A 2
 #define N_B 3
-#define N_C 4
-#define N_M 5
-#define N_LM 6
-#define N_GF2N 7
-#define N_GFPN 8
-#define N_GFS 9
+#define N_NEXT_B    (N_B)
+#if defined(INTERVAL)
+#define N_Quad	(N_NEXT_B+1)
+#define	N_IP	(N_NEXT_B+2)
+#define N_IntervalDouble	(N_NEXT_B+3)
+#define N_IntervalQuad	(N_NEXT_B+4)
+#define N_IntervalBigFloat	(N_NEXT_B+5)
+#define N_PRE_C	N_IntervalBigFloat
+#define N_BASE (N_NEXT_B+5)
+#else
+#define N_BASE N_NEXT_B
+#endif
+#define N_C (N_BASE+1)
+#define N_M (N_BASE+2)
+#define N_LM (N_BASE+3)
+#define N_GF2N (N_BASE+4)
+#define N_GFPN (N_BASE+5)
+#define N_GFS (N_BASE+6)
+#define N_GFSN (N_BASE+7)
+#define N_DA (N_BASE+8)
+#define N_GZ (N_BASE+9)
+#define N_GQ (N_BASE+10)
 
 #define ORD_REVGRADLEX 0
 #define ORD_GRADLEX 1
 #define ORD_LEX 2
 
-#if LONG_IS_32BIT
-#if defined(VISUAL)
-typedef _int64 L;
-typedef unsigned _int64 UL;
-#else
+typedef enum {
+	A_end=0,A_fnode,A_arf,A_int,A_str,A_internal,A_node,A_notimpl,A_func
+} farg_type;
+
+#if SIZEOF_LONG == 8
+typedef long L;
+typedef unsigned long UL;
+#elif defined(HAVE_UNSIGNED_LONG_LONG)
 typedef long long L;
 typedef unsigned long long UL;
+#elif defined(_MSC_VER)
+typedef _int64 L;
+typedef unsigned _int64 UL;
 #endif
-#else
-typedef long L;
-typedef unsigned long UL;
-#endif
 
 typedef struct oN {
 	int p;
 	unsigned int b[1];
 } *N;
 
+typedef struct oZ {
+	int p;
+	unsigned int b[1];
+} *Z;
+
 typedef struct oUP2 {
 	int w;
 	unsigned int b[1];
@@ -225,6 +272,28 @@ typedef struct oGFPN {
 	struct oUP *body;
 } *GFPN;
 
+typedef struct oDAlg {
+	short id;
+	char nid;
+	char pad;
+	struct oDP *nm;
+	struct oQ *dn;
+} *DAlg;
+
+typedef struct oGZ {
+	short id;
+	char nid;
+	char pad;
+	mpz_t body;
+} *GZ;
+
+typedef struct oGQ {
+	short id;
+	char nid;
+	char pad;
+	mpq_t body;
+} *GQ;
+
 typedef struct oNum {
 	short id;
 	char nid;
@@ -245,6 +314,12 @@ typedef struct oGFS {
 	int cont;
 } *GFS;
 
+typedef struct oGFSN {
+	short id;
+	char nid;
+	char pad;
+	struct oUM *body;
+} *GFSN;
 
 typedef struct oP {
 	short id;
@@ -281,6 +356,28 @@ typedef struct oGF2MAT {
 	unsigned int **body;
 } *GF2MAT, *GFMMAT;
 
+/* IMAT */
+#define IMATCH 64
+
+typedef struct oIENT {
+	int cr;
+	int row, col;
+	pointer *body;
+} IENT;
+
+typedef struct oIMATC {
+	pointer *fore;
+	pointer *next;
+	IENT ient[IMATCH];
+} *IMATC;
+
+typedef struct oIMAT {
+	short id;
+	int row, col, clen;
+	pointer *root;
+	pointer *toor;
+} *IMAT;
+/* IMAT */
 typedef struct oLIST {
 	short id;
 	short pad;
@@ -306,6 +403,13 @@ typedef struct oDP {
 	struct oMP *body;
 } *DP;
 
+typedef struct oDPV {
+	short id;
+	int len;
+	int sugar;
+	struct oDP **body;
+} *DPV;
+
 typedef struct oUSINT {
 	short id;
 	short pad;
@@ -331,6 +435,69 @@ typedef struct oBYTEARRAY {
 	unsigned char *body;
 } *BYTEARRAY;
 
+typedef struct oQUOTE {
+	short id;
+	short pad;
+	pointer body;
+} *QUOTE;
+
+typedef struct oQUOTEARG {
+	short id;
+	short pad;
+	farg_type type;
+	pointer body;
+} *QUOTEARG;
+
+typedef struct oOPTLIST {
+	short id;
+	short pad;
+	struct oNODE *body;
+} *OPTLIST;
+
+typedef struct oSYMBOL {
+	short id;
+	short pad;
+	char *name;
+	int value;
+} *SYMBOL;
+
+typedef struct oRANGE {
+	short id;
+	short pad;
+	struct oObj *start,*end;
+} *RANGE;
+
+typedef struct oTB {
+	short id;
+	short pad;
+	int size,next;
+	char **body;
+} *TB;
+
+typedef struct oNBP {
+	short id;
+	short pad;
+	struct oNODE *body;
+} *NBP;
+
+/* non-commutative bivariate monomial */
+
+typedef struct oNBM {
+	int d;
+	P c;
+	unsigned int *b;
+} *NBM;
+
+#define NEWNBM(p) ((p)=(NBM)MALLOC(sizeof(struct oNBM)))
+#define NEWNBMBDY(p,d) \
+((p)->b=(unsigned int *)MALLOC((((d)+31)/32)*sizeof(unsigned int)))
+#define NEWNBP(p) ((p)=(NBP)MALLOC(sizeof(struct oNBP)),OID(p)=O_NBP)
+#define MKNBP(p,b) (NEWNBP(p),BDY(p)=(b))
+
+#define NBM_GET(a,j) (((a)[(j)>>5]&(1<<((j)&31)))?1:0)
+#define NBM_SET(a,j) ((a)[(j)>>5]|=(1<<((j)&31)))
+#define NBM_CLR(a,j) ((a)[(j)>>5]&=(~(1<<((j)&31))))
+
 typedef struct oObj {
 	short id;
 	short pad;
@@ -353,6 +520,54 @@ typedef struct oDL {
 	int d[1];
 } *DL;
 
+struct dp_pairs {
+	int dp1, dp2;
+	DL lcm;
+	int sugar;
+	struct dp_pairs *next;
+};
+
+typedef struct dp_pairs *DP_pairs;
+
+struct p_pair {
+	struct oUM *p0;
+	struct oUM *p1;
+	struct p_pair *next;
+};
+
+struct oMF {
+	int m;
+	P f;
+};
+
+/* 
+ * compressed DP
+ */
+
+typedef struct oCDP {
+	int len;
+	int psindex;
+	unsigned int *body;
+} *CDP;
+
+typedef struct oCM {
+	int index;
+	int c;
+} *CM;
+
+/* bucket list for DL */
+
+typedef struct oDLBUCKET {
+	int td;
+	struct oNODE *body;
+	struct oDLBUCKET *next;
+} *DLBUCKET;
+
+typedef struct oGeoBucket {
+	int m;
+	struct oNODE *body[32];
+} *GeoBucket;
+
 typedef struct oVL {
 	V v;
 	struct oVL *next;
@@ -363,16 +578,25 @@ typedef struct oNODE {
 	struct oNODE *next;
 } *NODE;
 
+/* univariate poly over small finite field; dense */
 typedef struct oUM {
 	int d;
 	int c[1];
 } *UM;
 
+/* univariate poly with padic coeff */
 typedef struct oLUM {
 	int d;
 	int *c[1];
 } *LUM;
 
+/* bivariate poly over small finite field; dense */
+
+typedef struct oBM {
+	int d;
+	UM c[1];
+} *BM;
+
 typedef struct oML {
 	int n;
 	int mod;
@@ -404,10 +628,32 @@ struct order_pair {
 	int order, length;
 };
 
+struct sparse_weight {
+	int pos, value;
+};
+
+#define IS_DENSE_WEIGHT 0
+#define IS_SPARSE_WEIGHT 1
+#define IS_BLOCK 2
+
+struct weight_or_block {
+	int type;
+	int length;
+	union {
+		int *dense_weight;
+		struct sparse_weight *sparse_weight;
+		struct {
+			int order, start;
+		} block;
+	} body;
+};
+
 struct order_spec {
 	int id;
 	Obj obj;
 	int nv;
+	int ispot; /* 1 means Position over Term (Pos then Term) */
+	int pot_nelim; /* size of positions for pot-elimination order */
 	union {
 		int simple;
 		struct {
@@ -418,9 +664,34 @@ struct order_spec {
 			int row;
 			int **matrix;
 		} matrix;
+		struct {
+			int length;
+			struct weight_or_block *w_or_b;
+		} composite;
 	} ord;
 };
 
+struct modorder_spec {
+	/* id : ORD_REVGRADLEX, ORD_GRADLEX, ORD_LEX */
+	int id;
+	Obj obj;
+	int len;
+	int *degree_shift;
+};
+
+typedef struct oNumberField {
+	int n;
+	int psn;
+	int dim;
+	VL vl;
+	P *defpoly;
+	DP *mb;
+	DP *ps;
+	struct oDAlg *one;
+	NODE ind;
+	struct order_spec *spec;
+} *NumberField;
+
 /* structure for cputime */
 
 struct oEGT {
@@ -435,13 +706,14 @@ struct oEGT {
 #define FF_GF2N 2
 #define FF_GFPN 3
 #define FF_GFS 4
+#define FF_GFSN 5
 
 /* include interval.h */
 #include "interval.h"
 
 #define INDEX 100
 
-#if USE_FLOAT
+#if defined(USE_FLOAT)
 typedef float ModNum;
 #define NPrimes 536
 #else
@@ -450,6 +722,12 @@ typedef unsigned int ModNum;
 #endif
 
 /* general macros */
+#if defined(MAX)
+#undef MAX
+#endif
+#if defined(MIN)
+#undef MIN
+#endif
 #define MAX(a,b) ((a) > (b) ? (a) : (b) )
 #define MIN(a,b) ((a) > (b) ? (b) : (a) )
 #ifdef ABS
@@ -478,23 +756,30 @@ typedef unsigned int ModNum;
 
 /* memory allocators (W_... : uses alloca) */
 
-#if 0
 #define MALLOC(d) Risa_GC_malloc(d)
 #define MALLOC_ATOMIC(d) Risa_GC_malloc_atomic(d)
+#define MALLOC_ATOMIC_IGNORE_OFF_PAGE(d) Risa_GC_malloc_atomic_ignore_off_page(d)
 #define REALLOC(p,d) Risa_GC_realloc(p,d)
-#else
-#define MALLOC(d) GC_malloc(d)
-#define MALLOC_ATOMIC(d) GC_malloc_atomic(d)
-#define REALLOC(p,d) GC_realloc(p,d)
-#endif
+#define GCFREE(p) Risa_GC_free(p)
 #define CALLOC(d,e) MALLOC((d)*(e))
 
-#if (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL))
+#if !defined(__CYGWIN__) && (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL))
 #define ALLOCA(d) alloca(d)
 #else
 #define ALLOCA(d) MALLOC(d)
 #endif
 
+/* for setjmp/longjmp compatibility */
+#if defined(__CYGWIN__) || defined(__x86_64)
+#define JMP_BUF sigjmp_buf
+#define SETJMP(x) sigsetjmp(x,~0)
+#define LONGJMP(x,y) siglongjmp(x,y)
+#else
+#define JMP_BUF jmp_buf
+#define SETJMP(x) setjmp(x)
+#define LONGJMP(x,y) longjmp(x,y)
+#endif
+
 #define TRUESIZE(type,n,atype) (sizeof(struct type)+MAX((n),0)*sizeof(atype))
 #define NALLOC(d) ((N)MALLOC_ATOMIC(TRUESIZE(oN,(d)-1,int)))
 #define UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
@@ -522,6 +807,21 @@ bzero((char *)(p),(int)(((n)+1)*sizeof(type))))
 	(p) = ___q___;\
 }
 
+#define W_BMALLOC(dx,dy,p)\
+{\
+	BM ___q___;\
+	int ___i___;\
+	UM *___c___;\
+	(___q___) = (BM)ALLOCA(TRUESIZE(oBM,(dy),UM));\
+	DEG(___q___) = dy;\
+	___c___ = (UM *)COEF(___q___);\
+	for ( ___i___ = 0; ___i___ <= dy; ___i___++ ) {\
+		___c___[___i___] = W_UMALLOC(dx);\
+		clearum(___c___[___i___],dx);\
+	}\
+	(p) = ___q___;\
+}
+
 #define NEWUP2(q,w)\
 ((q)=(UP2)MALLOC_ATOMIC(TRUESIZE(oUP2,(w)-1,unsigned int)),\
 bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
@@ -532,9 +832,12 @@ bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 ((q).b=(unsigned int *)ALLOCA((w)*sizeof(unsigned int)))
 
 /* cell allocators */
+#define NEWGZ(q) ((q)=(GZ)MALLOC(sizeof(struct oGZ)),OID(q)=O_N,NID(q)=N_GZ)
+#define NEWGQ(q) ((q)=(GQ)MALLOC(sizeof(struct oGQ)),OID(q)=O_N,NID(q)=N_GQ)
 #define NEWQ(q) ((q)=(Q)MALLOC(sizeof(struct oQ)),OID(q)=O_N,NID(q)=N_Q)
 #define NEWMQ(q) ((q)=(MQ)MALLOC_ATOMIC(sizeof(struct oMQ)),OID(q)=O_N,NID(q)=N_M)
 #define NEWGFS(q) ((q)=(GFS)MALLOC_ATOMIC(sizeof(struct oGFS)),OID(q)=O_N,NID(q)=N_GFS)
+#define NEWGFSN(q) ((q)=(GFSN)MALLOC(sizeof(struct oGFSN)),OID(q)=O_N,NID(q)=N_GFSN)
 #define NEWP(p) ((p)=(P)MALLOC(sizeof(struct oP)),OID(p)=O_P)
 #define NEWR(r) ((r)=(R)MALLOC(sizeof(struct oR)),OID(r)=O_R,(r)->reduced=0)
 #define NEWLIST(l) ((l)=(LIST)MALLOC(sizeof(struct oLIST)),OID(l)=O_LIST)
@@ -542,22 +845,36 @@ bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 #define NEWSTR(l) ((l)=(STRING)MALLOC(sizeof(struct oSTRING)),OID(l)=O_STR)
 #define NEWCOMP(c,n) ((c)=(COMP)MALLOC(sizeof(struct oCOMP)+((n)-1)*sizeof(Obj)),OID(c)=O_COMP)
 #define NEWDP(d) ((d)=(DP)MALLOC(sizeof(struct oDP)),OID(d)=O_DP)
+#define NEWDPV(d) ((d)=(DPV)MALLOC(sizeof(struct oDPV)),OID(d)=O_DPV)
 #define NEWUSINT(u) ((u)=(USINT)MALLOC_ATOMIC(sizeof(struct oUSINT)),OID(u)=O_USINT)
 #define NEWERR(e) ((e)=(ERR)MALLOC(sizeof(struct oERR)),OID(e)=O_ERR)
 #define NEWMATHCAP(e) ((e)=(MATHCAP)MALLOC(sizeof(struct oMATHCAP)),OID(e)=O_MATHCAP)
 #define NEWBYTEARRAY(e) ((e)=(BYTEARRAY)MALLOC(sizeof(struct oBYTEARRAY)),OID(e)=O_BYTEARRAY)
+#define NEWQUOTE(e) ((e)=(QUOTE)MALLOC(sizeof(struct oQUOTE)),OID(e)=O_QUOTE)
+#define NEWQUOTEARG(e) ((e)=(QUOTEARG)MALLOC(sizeof(struct oQUOTEARG)),OID(e)=O_QUOTEARG)
+#define NEWOPTLIST(l) ((l)=(OPTLIST)MALLOC(sizeof(struct oOPTLIST)),OID(l)=O_OPTLIST)
+#define NEWSYMBOL(l) ((l)=(SYMBOL)MALLOC(sizeof(struct oSYMBOL)),OID(l)=O_SYMBOL)
+#define NEWRANGE(l) ((l)=(RANGE)MALLOC(sizeof(struct oRANGE)),OID(l)=O_RANGE)
+#define NEWTB(l) ((l)=(TB)MALLOC(sizeof(struct oTB)),OID(l)=O_TB,(l)->size=256,(l)->next=0,(l)->body=(char **)MALLOC((l)->size*sizeof(char *)))
 
 #define NEWNODE(a) ((a)=(NODE)MALLOC(sizeof(struct oNODE)))
 #define NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))
 #define NEWV(v) ((v)=(V)MALLOC(sizeof(struct oV)))
 #define NEWVL(vl) ((vl)=(VL)MALLOC(sizeof(struct oVL)))
 #define NEWMP(m) ((m)=(MP)MALLOC(sizeof(struct oMP)))
+#define NEWDLBUCKET(a) ((a)=(DLBUCKET)MALLOC(sizeof(struct oDLBUCKET)))
+#define NEWDPP(a) ((a)=(DP_pairs)MALLOC(sizeof(struct dp_pairs)))
 
 #define NEWMAT(l) ((l)=(MAT)MALLOC(sizeof(struct oMAT)),OID(l)=O_MAT)
 #define NEWGF2MAT(l) ((l)=(GF2MAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GF2MAT)
 #define NEWGFMMAT(l) ((l)=(GFMMAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GFMMAT)
+/* IMAT */
+#define NEWIMAT(l) ((l)=(IMAT)MALLOC(sizeof(struct oIMAT)),OID(l)=O_IMAT,l->clen=0,l->root=0,l->toor=0)
+#define NEWIENT(l) ((l)=(IMATC)MALLOC(sizeof(struct oIMATC)),l->fore=0,l->next=0)
+/* IMAT */
 #define NEWReal(q) ((q)=(Real)MALLOC_ATOMIC(sizeof(struct oReal)),OID(q)=O_N,NID(q)=N_R)
 #define NEWAlg(r) ((r)=(Alg)MALLOC(sizeof(struct oAlg)),OID(r)=O_N,NID(r)=N_A)
+#define NEWDAlg(r) ((r)=(DAlg)MALLOC(sizeof(struct oDAlg)),OID(r)=O_N,NID(r)=N_DA)
 #define NEWBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_B)
 #define NEWC(r) ((r)=(C)MALLOC(sizeof(struct oC)),OID(r)=O_N,NID(r)=N_C)
 #define NEWLM(r) ((r)=(LM)MALLOC(sizeof(struct oLM)),OID(r)=O_N,NID(r)=N_LM)
@@ -569,7 +886,7 @@ bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)))
 
 #define MKP(v,dc,p) \
-(!DEG(dc)?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
+((!DEG(dc)&&!NEXT(dc))?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
 #define MKV(v,p) \
 (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
 DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)
@@ -589,6 +906,7 @@ DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
 #define TOGFMMAT(r,c,b,m) (NEWGFMMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
 #define MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))
 #define MKDP(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m))
+#define MKDPV(len,m,d) (NEWDPV(d),(d)->len=(len),BDY(d)=(m))
 #define MKLM(b,l) (!(b)?(l)=0:(NEWLM(l),(l)->body=(b),(l)))
 #define MKGF2N(b,l) (!(b)?(l)=0:(NEWGF2N(l),(l)->body=(b),(l)))
 #define MKGFPN(b,l) (!(b)?(l)=0:(NEWGFPN(l),(l)->body=(b),(l)))
@@ -596,7 +914,9 @@ DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
 #define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))
 #define MKMATHCAP(e,b) (NEWMATHCAP(e),(e)->body=(LIST)(b))
 #define MKBYTEARRAY(m,l) \
-(NEWBYTEARRAY(m),(m)->len=(l),(m)->body=(char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))
+(NEWBYTEARRAY(m),(m)->len=(l),(m)->body=(unsigned char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))
+#define MKQUOTE(q,b) (NEWQUOTE(q),(q)->body=(pointer)(b))
+#define MKQUOTEARG(q,t,b) (NEWQUOTEARG(q),(q)->type=(t),(q)->body=(pointer)(b))
 
 #define NEXTDC(r,c) \
 if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}
@@ -606,6 +926,12 @@ if(!(r)){NEWNODE(r);(c)=(r);}else{NEWNODE(NEXT(c));(c)
 if(!(r)){NEWMP(r);(c)=(r);}else{NEWMP(NEXT(c));(c)=NEXT(c);}
 #define NEXTMP2(r,c,s) \
 if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
+#define NEXTDLBUCKET(r,c) \
+if(!(r)){NEWDLBUCKET(r);(c)=(r);}else{NEWDLBUCKET(NEXT(c));(c)=NEXT(c);}
+#define NEXTVL(r,c) \
+if(!(r)){NEWVL(r);(c)=(r);}else{NEWVL(NEXT(c));(c)=NEXT(c);}
+#define NEXTDPP(r,c) \
+if(!(r)){NEWDPP(r);(c)=(r);}else{NEWDPP(NEXT(c));(c)=NEXT(c);}
 
 /* convertors */
 #define NTOQ(n,s,q) \
@@ -622,6 +948,8 @@ PL(NM(q))=1,BD(NM(q))[0]=ABS(n),DN(q)=0,(q)))
 ((a)?(NEWMQ(b),CONT(b)=(unsigned int)(a),(b)):((b)=0))
 #define MKGFS(a,b) \
 ((NEWGFS(b),CONT(b)=(a),(b)))
+#define MKGFSN(a,b) \
+((DEG(a)>=0)?(NEWGFSN(b),BDY(b)=(a),(b)):((b)=0))
 #define STOMQ(a,b) \
 ((a)?(NEWMQ(b),CONT(b)=(a),(b)):((b)=0))
 #define UTON(u,n) \
@@ -639,8 +967,15 @@ PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
 #define MKReal(a,b) (!(a)?((b)=0):(NEWReal(b),BDY(b)=(a),(b)))
 #define MKAlg(b,r) \
 (!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))
+#define MKDAlg(dp,den,r) (!(dp)?(void *)((r)=0):(void *)(NEWDAlg(r),(r)->nm = (dp),(r)->dn=(den)))
 
-#if PARI
+#define IMM_MAX 1073741823
+#define IMM_MIN -1073741823
+
+#define SL(n) ((n)->p)
+#define ZALLOC(d) ((Z)MALLOC_ATOMIC(TRUESIZE(oZ,(d)-1,int)))
+
+#if defined(PARI)
 #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):BIGFLOAT(a)?rtodbl(BDY((BF)a)):0)
 #else
 #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):0.0)
@@ -649,8 +984,9 @@ PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
 /* predicates */
 #define NUM(p) (OID(p)==O_N)
 #define RAT(p) (OID(p)==O_R)
-#define INT(q) (!DN((Q)q))
 #define RATN(a) (NID(a)==N_Q)
+#define POLY(a) (!(a) ||(OID(a)<=O_P))
+#define INT(q) (!(q)||(NUM(q)&&RATN((Num)q)&&!DN((Q)q)))
 #define REAL(a) (NID(a)==N_R)
 #define BIGFLOAT(a) (NID(a)==N_B)
 #define SFF(a) (NID(a)==N_M)
@@ -665,9 +1001,19 @@ PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
 
 #define NV(p) ((p)->nv)
 #define C(p) ((p)->c)
+#if 0
 #define ITOS(p) (((unsigned int)(p))&0x7fffffff)
 #define STOI(i) ((P)((unsigned int)(i)|0x80000000))
+#else
+#define ITOS(p) (((unsigned int)(p)))
+#define STOI(i) ((P)((unsigned int)(i)))
+#endif
 
+/* immediate GFS representation */
+
+#define IFTOF(p) ((int)(((unsigned int)(p))&0x7fffffff))
+#define FTOIF(i) ((int)(((unsigned int)(i)|0x80000000)))
+
 struct cdl {
 	P c;
 	DL d;
@@ -698,6 +1044,8 @@ if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
 #define _FREEMP(m) NEXT(m)=_mp_free_list; _mp_free_list=(m)
 #define _FREEDP(m) BDY(m)=(MP)_dp_free_list; _dp_free_list=(m)
 
+#define MUL_WEIGHT(a,i) (current_dl_weight_vector?(a)*current_dl_weight_vector[i]:(a))
+
 /* externals */
 #if 0
 double NatToReal();
@@ -717,6 +1065,7 @@ extern VL CO,ALG;
 extern VL PVL;
 extern R ONER;
 extern Q ONE;
+extern Q TWO;
 extern MQ ONEM;
 extern LM ONELM;
 extern N ONEN;
@@ -725,10 +1074,8 @@ extern UP2 ONEUP2;
 extern FILE *asir_out;
 #if defined(__GNUC__)
 extern const int sprime[];
-extern const int lprime[];
 #else
 extern int sprime[];
-extern int lprime[];
 #endif
 
 extern void (*addnumt[])();
@@ -739,6 +1086,22 @@ extern void (*pwrnumt[])();
 extern int (*cmpnumt[])();
 extern void (*chsgnnumt[])();
 
+extern int current_mod;
+extern GEN_UP2 current_mod_gf2n;
+extern int lm_lazy;
+extern int current_ff;
+extern V up_var;
+extern V up2_var;
+extern P current_gfs_ext;
+extern int current_gfs_p;
+extern int current_gfs_q;
+extern int current_gfs_q1;
+extern int *current_gfs_plus1;
+extern int *current_gfs_ntoi;
+extern int *current_gfs_iton;
+
+extern int *current_dl_weight_vector;
+
 /* prototypes */
 int compui(VL,USINT,USINT);
 int compbytearray(VL,BYTEARRAY,BYTEARRAY);
@@ -825,6 +1188,7 @@ void square_rem_tab_up_gf2n(UP,UP *,UP *);
 void powertabup_gf2n(UP,UP,UP *);
 void find_root_gf2n(UP,GF2N *);
 
+int cmpdl_composite(int,DL,DL);
 int cmpdl_matrix(int,DL,DL);
 int cmpdl_order_pair(int,DL,DL);
 int cmpdl_elim(int,DL,DL);
@@ -853,6 +1217,12 @@ void dtop(VL,VL,DP,P *);
 void ptod(VL,VL,P,DP *);
 void initd(struct order_spec *);
 
+void adddv(VL,DPV,DPV,DPV *);
+void subdv(VL,DPV,DPV,DPV *);
+void muldv(VL,DP,DPV,DPV *);
+void chsgndv(DPV,DPV *);
+int compdv(VL,DPV,DPV);
+
 void _printdp(DP);
 void _dp_sp_mod(DP,DP,int,DP *);
 void _dp_mod(DP,int,NODE,DP *);
@@ -978,7 +1348,7 @@ void copyn(N,int,int *);
 void kmulnmain(N,N,N *);
 int qcoefp(Obj);
 int qcoefr(Obj);
-int get_allocwords(void);
+size_t get_allocwords(void);
 double get_clock(void);
 void get_eg(struct oEGT *);
 void printtime(struct oEGT *,struct oEGT *,double);
@@ -1080,11 +1450,16 @@ int int_bits(int);
 
 
 LUM LUMALLOC(int, int);
+BM BMALLOC(int, int);
 Obj ToAlg(Num);
 UM *berlemain(register int, UM, UM *);
+void Risa_GC_set_adj(int,int);
+void Risa_GC_get_adj(int *,int *);
 void *Risa_GC_malloc(size_t);
 void *Risa_GC_malloc_atomic(size_t);
 void *Risa_GC_realloc(void *,size_t);
+void Risa_GC_free(void *);
+void *Risa_GC_malloc_atomic_ignore_off_page(size_t);
 void *GC_malloc(size_t);
 void *GC_malloc_atomic(size_t);
 void *GC_realloc(void *,size_t);
@@ -1131,6 +1506,7 @@ int geldb(VL,P);
 int getchomdeg(V,P);
 int getdeg(V,P);
 int getlchomdeg(V,P,int *);
+int get_lprime(int);
 int homdeg(P);
 unsigned int invm(unsigned int,int);
 int iscycm(P);
@@ -1145,7 +1521,7 @@ int nmonop(P);
 int pcoef(VL,VL,P,P *);
 int pcoef0(VL,VL,P,P *);
 unsigned int pwrm(register int,register int,int);
-unsigned int rem(N,unsigned int);
+unsigned int rem(N,int);
 int sqfrchk(P);
 int subn(N,N,N *);
 int ucmpp(P,P);
@@ -1176,6 +1552,22 @@ void chsgngfs(GFS,GFS *);
 void pwrgfs(GFS,Q, GFS *);
 int cmpgfs(GFS,GFS);
 
+void addgfsn(GFSN,GFSN,GFSN *);
+void subgfsn(GFSN,GFSN,GFSN *);
+void mulgfsn(GFSN,GFSN,GFSN *);
+void divgfsn(GFSN,GFSN,GFSN *);
+void chsgngfsn(GFSN,GFSN *);
+void pwrgfsn(GFSN,Q, GFSN *);
+int cmpgfsn(GFSN,GFSN);
+
+void adddalg(DAlg,DAlg,DAlg *);
+void subdalg(DAlg,DAlg,DAlg *);
+void muldalg(DAlg,DAlg,DAlg *);
+void divdalg(DAlg,DAlg,DAlg *);
+void chsgndalg(DAlg,DAlg *);
+void pwrdalg(DAlg,Q, DAlg *);
+int cmpdalg(DAlg,DAlg);
+
 void addalg(Num,Num,Num *);
 void addbf(Num,Num,Num *);
 void addcplx(Num,Num,Num *);
@@ -1200,6 +1592,7 @@ void addlm(LM,LM,LM *);
 void addstr(VL,STRING,STRING,STRING *);
 void addum(int,UM,UM,UM);
 void addvect(VL,VECT,VECT,VECT *);
+void addquote(VL,QUOTE,QUOTE,QUOTE *);
 void adjc(VL,P,P,P,Q,P *,P *);
 void afctr(VL,P,P,DCP *);
 void afctrmain(VL,P,P,int,DCP *);
@@ -1223,6 +1616,7 @@ void chsgnreal(Num,Num *);
 void chsgnmi(MQ,MQ *);
 void chsgnlm(LM,LM *);
 void chsgnvect(VECT,VECT *);
+void chsgnquote(QUOTE,QUOTE *);
 void clctv(VL,P,VL *);
 void clctvr(VL,Obj,VL *);
 void cm2p(Q,Q,P,P *);
@@ -1264,11 +1658,13 @@ void divsrdcp(VL,P,P,P *,P *);
 void divsrmp(VL,int,P,P,P *,P *);
 void divsrp(VL,P,P,P *,P *);
 void divvect(VL,Obj,Obj,Obj *);
+void divquote(VL,QUOTE,QUOTE,QUOTE *);
 void dtest(P,ML,int,DCP *);
 void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);
 void dtestroot1(int,int,P,LUM,P *);
 void dtestsq(int,int,P,LUM,P *);
 void dtestsql(P,ML,struct oDUM *,DCP *);
+void ediffp(VL,P,V,P *);
 void estimatelc(VL,Q,DCP,VN,P *);
 void eucum(register int,UM,UM,UM,UM);
 void exthp(VL,P,int,P *);
@@ -1359,6 +1755,7 @@ void mulsgn(VN,VN,int,VN);
 void mulsum(register int,UM,register int,UM);
 void mulum(register int,UM,UM,UM);
 void mulvect(VL,Obj,Obj,Obj *);
+void mulquote(VL,QUOTE,QUOTE,QUOTE *);
 void mulvectmat(VL,VECT,MAT,VECT *);
 void next(VN);
 void nezgcdnp_sqfr_primitive(VL,P,P *,int,P *);
@@ -1404,6 +1801,7 @@ void pwrnum(VL,Num,Num,Num *);
 void pwrp(VL,P,Q,P *);
 void pwrq(Q,Q,Q *);
 void pwrr(VL,Obj,Obj,Obj *);
+void pwrquote(VL,QUOTE,QUOTE,QUOTE *);
 void pwrreal(Num,Num,Real *);
 void pwrmi(MQ,Q,MQ *);
 void pwrlm(LM,Q,LM *);
@@ -1462,6 +1860,7 @@ void substp(VL,P,V,P,P *);
 void substvp(VL,P,VN,P *);
 void subum(int,UM,UM,UM);
 void subvect(VL,VECT,VECT,VECT *);
+void subquote(VL,QUOTE,QUOTE,QUOTE *);
 void toreim(Num,Num *,Num *);
 void ucsump(P,Q *);
 void udivpwm(Q,P,P,P *,P *);
@@ -1478,8 +1877,965 @@ void umtop(V,UM,P *);
 void usqp(P,DCP *);
 void vntovl(VN,int,VL *);
 
+void saveerror(FILE *,ERR);
+void saveui(FILE *,USINT);
+void savedp(FILE *,DP);
+void savestring(FILE *,STRING);
+void savemat(FILE *,MAT);
+void savevect(FILE *,VECT);
+void savelist(FILE *,LIST);
+void saver(FILE *,R);
+void savep(FILE *,P);
+void savegf2n(FILE *,GF2N);
+void savegfpn(FILE *,GFPN);
+void savegfs(FILE *,GFS);
+void savedalg(FILE *,DAlg);
+void savelm(FILE *,LM);
+void savemi(FILE *,MQ);
+void savecplx(FILE *,C);
+void savebf(FILE *,BF);
+void savereal(FILE *,Real);
+void saveq(FILE *,Q);
+void savenum(FILE *,Num);
+void savepfins(FILE *,V);
+void savegfmmat(FILE *,GFMMAT);
+void savebytearray(FILE *,BYTEARRAY);
+void savegfsn(FILE *,GFSN);
+
+void loaderror(FILE *,ERR *);
+void loadui(FILE *,USINT *);
+void loaddp(FILE *,DP *);
+void loadstring(FILE *,STRING *);
+void loadmat(FILE *,MAT *);
+void loadvect(FILE *,VECT *);
+void loadlist(FILE *,LIST *);
+void loadr(FILE *,R *);
+void loadp(FILE *,P *);
+void loadgf2n(FILE *,GF2N *);
+void loadgfpn(FILE *,GFPN *);
+void loadgfs(FILE *,GFS *);
+void loadgfsn(FILE *,GFSN *);
+void loaddalg(FILE *,DAlg *);
+void loadlm(FILE *,LM *);
+void loadmi(FILE *,MQ *);
+void loadcplx(FILE *,C *);
+void loadbf(FILE *,BF *);
+void loadreal(FILE *,Real *);
+void loadq(FILE *,Q *);
+void loadnum(FILE *,Num *);
+void loadgfmmat(FILE *,GFMMAT *);
+void loadbytearray(FILE *,BYTEARRAY *);
+V loadpfins(FILE *);
+void eucum2(int mod,UM f1,UM f2,UM a,UM b);
+void clearum(UM p,int n);
+BM BMALLOC(int dx,int dy);
+int isequalum(UM f1,UM f2);
+void dec_um(int p,int a,UM u);
+void setmod_sf(int p,int n);
+int search_defpoly_and_primitive_root(int p,int n,UM dp);
+void generate_defpoly_um(int p,int n,UM dp);
+int generate_primitive_root_enc(int p,int n,UM dp);
+int mulremum_enc(int p,int n,UM dp,int a,int b);
+void gfs_galois_action(GFS a,Q e,GFS *c);
+void gfs_embed(GFS z,int k,int pm,GFS *c);
+void qtogfs(Q a,GFS *c);
+void mqtogfs(MQ a,GFS *c);
+void gfstomq(GFS a,MQ *c);
+void ntogfs(Obj a,GFS *b);
+void addgfs(GFS a,GFS b,GFS *c);
+void subgfs(GFS a,GFS b,GFS *c);
+void mulgfs(GFS a,GFS b,GFS *c);
+void divgfs(GFS a,GFS b,GFS *c);
+void chsgngfs(GFS a,GFS *c);
+void pwrgfs(GFS a,Q b,GFS *c);
+int cmpgfs(GFS a,GFS b);
+void randomgfs(GFS *r);
+int _addsf(int a,int b);
+int _chsgnsf(int a);
+int _subsf(int a,int b);
+int _mulsf(int a,int b);
+int _invsf(int a);
+int _divsf(int a,int b);
+int _pwrsf(int a,int b);
+int _onesf();
+int _itosf(int n);
+int _isonesf(int a);
+int _randomsf();
+int field_order_sf();
+int characteristic_sf();
+int extdeg_sf();
+void addsfum(UM p1,UM p2,UM pr);
+void subsfum(UM p1,UM p2,UM pr);
+void gcdsfum(UM p1,UM p2,UM pr);
+void mulsfum(UM p1,UM p2,UM pr);
+void mulssfum(UM p,int n,UM pr);
+void kmulsfum(UM n1,UM n2,UM nr);
+void kmulsfummain(UM n1,UM n2,UM nr);
+int divsfum(UM p1,UM p2,UM pq);
+void diffsfum(UM f,UM fd);
+void monicsfum(UM f);
+int compsfum(UM a,UM b);
+void mulsfbm(BM f1,BM f2,BM fr);
+int degbm(BM f);
+void addtosfbm(BM f,BM g);
+void eucsfum(UM f1,UM f2,UM a,UM b);
+void shiftsfum(UM f,int a,UM g);
+void shiftsflum(int n,LUM f,int ev);
+void shiftsfbm(BM f,int a);
+void clearbm(int n,BM f);
+
+void ksquareum(int mod,UM n1,UM nr);
+void extractum(UM n,int index,int len,UM nr);
+void copyum(UM n1,UM n2);
+void c_copyum(UM n,int len,int *p);
+void kmulummain(int mod,UM n1,UM n2,UM nr);
+void ksquareummain(int mod,UM n1,UM nr);
+
+void simp_ff(Obj p,Obj *rp);
+void field_order_ff(N *order);
+
+void random_lm(LM *r);
+void ntosparsen(N p,N *bits);
+void setmod_lm(N p);
+void getmod_lm(N *p);
+void simplm(LM n,LM *r);
+void qtolm(Q q,LM *l);
+void addlm(LM a,LM b,LM *c);
+void sublm(LM a,LM b,LM *c);
+void mullm(LM a,LM b,LM *c);
+void divlm(LM a,LM b,LM *c);
+void chsgnlm(LM a,LM *c);
+void pwrlm(LM a,Q b,LM *c);
+void pwrlm0(N a,N n,N *c);
+int cmplm(LM a,LM b);
+void remn_special(N,N,int,unsigned int ,N *);;
+void gen_simpn(N a,N *b);
+void gen_simpn_force(N a,N *b);
+void setmod_gfpn(P p);
+void getmod_gfpn(UP *up);
+void ptogfpn(Obj q,GFPN *l);
+void gfpntop(GFPN q,P *l);
+void simpgfpn(GFPN n,GFPN *r);
+void ntogfpn(Obj a,GFPN *b);
+void addgfpn(GFPN a,GFPN b,GFPN *c);
+void subgfpn(GFPN a,GFPN b,GFPN *c);
+void mulgfpn(GFPN a,GFPN b,GFPN *c);
+void squaregfpn(GFPN a,GFPN *c);
+void divgfpn(GFPN a,GFPN b,GFPN *c);
+void invgfpn(GFPN b,GFPN *c);
+void chsgngfpn(GFPN a,GFPN *c);
+void pwrgfpn(GFPN a,Q b,GFPN *c);
+int cmpgfpn(GFPN a,GFPN b);
+void randomgfpn(GFPN *r);
+void setmod_gfsn(UM p);
+void getmod_gfsn(UM *up);
+void simpgfsn(GFSN n,GFSN *r);
+void ntogfsn(Obj a,GFSN *b);
+void addgfsn(GFSN a,GFSN b,GFSN *c);
+void subgfsn(GFSN a,GFSN b,GFSN *c);
+void mulgfsn(GFSN a,GFSN b,GFSN *c);
+void divgfsn(GFSN a,GFSN b,GFSN *c);
+void invgfsn(GFSN b,GFSN *c);
+void chsgngfsn(GFSN a,GFSN *c);
+void pwrgfsn(GFSN a,Q b,GFSN *c);
+int cmpgfsn(GFSN a,GFSN b);
+void randomgfsn(GFSN *r);
+void setmod_gf2n(P p);
+void getmod_gf2n(UP2 *p);
+void simpgf2n(GF2N n,GF2N *r);
+void ptogf2n(Obj q,GF2N *l);
+void gf2ntop(GF2N q,P *l);
+void gf2ntovect(GF2N q,VECT *l);
+void addgf2n(GF2N a,GF2N b,GF2N *c);
+void subgf2n(GF2N a,GF2N b,GF2N *c);
+void mulgf2n(GF2N a,GF2N b,GF2N *c);
+void squaregf2n(GF2N a,GF2N *c);
+void divgf2n(GF2N a,GF2N b,GF2N *c);
+void invgf2n(GF2N b,GF2N *c);
+void chsgngf2n(GF2N a,GF2N *c);
+void pwrgf2n(GF2N a,Q b,GF2N *c);
+int cmpgf2n(GF2N a,GF2N b);
+void randomgf2n(GF2N *r);
+void binaryton(char *binary,N *np);
+void hexton(char *hex,N *np);
+void ntobn(int base,N n,N *nrp);
+void bnton(int base,N n,N *nrp);
+void ptomp(int m,P p,P *pr);
+void mptop(P f,P *gp);
+void ptosfp(P p,P *pr);
+void sfptop(P f,P *gp);
+void sf_galois_action(P p,Q e,P *pr);
+void sf_embed(P p,int k,int pm,P *pr);
+void ptolmp(P p,P *pr);
+void lmptop(P f,P *gp);
+void ptoum(int m,P f,UM wf);
+void umtop(V v,UM w,P *f);
+void ptosfum(P f,UM wf);
+void sfumtop(V v,UM w,P *f);
+void ptoup(P n,UP *nr);
+void uptop(UP n,P *nr);
+void ulmptoum(int m,UP f,UM wf);
+void objtobobj(int base,Obj p,Obj *rp);
+void bobjtoobj(int base,Obj p,Obj *rp);
+void numtobnum(int base,Num p,Num *rp);
+void bnumtonum(int base,Num p,Num *rp);
+void ptobp(int base,P p,P *rp);
+void bptop(int base,P p,P *rp);
+void listtoblist(int base,LIST p,LIST *rp);
+void blisttolist(int base,LIST p,LIST *rp);
+void vecttobvect(int base,VECT p,VECT *rp);
+void bvecttovect(int base,VECT p,VECT *rp);
+void mattobmat(int base,MAT p,MAT *rp);
+void bmattomat(int base,MAT p,MAT *rp);
+void n32ton27(N g,N *rp);
+void n27ton32(N a,N *rp);
+void mptoum(P p,UM pr);
+void umtomp(V v,UM p,P *pr);
+void enc_to_p(int p,int a,V v,P *pr);
+int comp_dum(DUM a,DUM b);
+void fctrsf(P p,DCP *dcp);
+void gensqfrsfum(UM p,struct oDUM *dc);
+void randsfum(int d,UM p);
+void pwrmodsfum(UM p,int e,UM f,UM pr);
+void spwrsfum(UM m,UM f,N e,UM r);
+void tracemodsfum(UM m,UM f,int e,UM r);
+void make_qmatsf(UM p,UM *tab,int ***mp);
+void nullsf(int **mat,int n,int *ind);
+void null_to_solsf(int **mat,int *ind,int n,UM *r);
+void czsfum(UM f,UM *r);
+int berlekampsf(UM p,int df,UM *tab,UM *r);
+void minipolysf(UM f,UM p,UM mp);
+int find_rootsf(UM p,int *root);
+void canzassf(UM f,int d,UM *r);
+void sfhensel(int count,P f,V x,V y,int degbound,GFS *evp,P *sfp,ML *listp);
+int sfberle(V x,V y,P f,int count,GFS *ev,DCP *dcp);
+void sfgcdgen(P f,ML blist,ML *clistp);
+void sfhenmain2(BM f,UM g0,UM h0,int dy,BM *gp);
+void ptosfbm(int dy,P f,BM fl);
+void sfbmtop(BM f,V x,V y,P *fp);
+void sfsqfr(P f,DCP *dcp);
+void sfusqfr(P f,DCP *dcp);
+void sfbsqfr(P f,V x,V y,DCP *dcp);
+void sfbfctr(P f,V x,V y,int degbound,DCP *dcp);
+void sfdtest(P f,ML list,V x,V y,DCP *dcp);
+int sfdtestmain(VL vl,P lcg,UM lcg0,BM lcy,P csum,ML list,
+	int k,int *in,P *fp,P *cofp);
+void const_term(P f,UM c);
+void const_term_sfbm(BM f,UM c);
+int sfctest(UM lcg0,BM lcy,ML list,int k,int *in);
+void mulsfbmarray(int dx,BM lcy,ML list,int k,int *in,V x,V y,P *g);
+void sfcsump(VL vl,P f,P *s);
+void cont_pp_sfp(VL vl,P f,P *cp,P *fp);
+int divtp_by_sfbm(VL vl,P f,P g,P *qp);
+void generate_defpoly_sfum(int n,UM *dp);
+NODE symb_merge(NODE,NODE,int);
+void _free_private_storage();
+void _DL_alloc();
+void _MP_alloc();
+void _DP_alloc();
+void _addmd_destructive(int mod,DP p1,DP p2,DP *pr);
+void _mulmd_dup(int mod,DP p1,DP p2,DP *pr);
+void _comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
+void _weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
+void _mulmdm_dup(int mod,DP p,MP m0,DP *pr);
+void _weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
+void _weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
+void _comm_mulmd_tab(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1,struct cdlm *rt);
+void _comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
+void dlto_dl(DL d,DL *dr);
+void _dltodl(DL d,DL *dr);
+void _adddl_dup(int n,DL d1,DL d2,DL *dr);
+void _free_dlarray(DL *a,int n);
+void _free_dp(DP f);
+void dpto_dp(DP p,DP *r);
+void _dptodp(DP p,DP *r);
+NODE _symb_merge(NODE m1,NODE m2,int n);
+void _addd_destructive(VL vl,DP p1,DP p2,DP *pr);
+void _muld_dup(VL vl,DP p1,DP p2,DP *pr);
+void _comm_muld_dup(VL vl,DP p1,DP p2,DP *pr);
+void _weyl_muld_dup(VL vl,DP p1,DP p2,DP *pr);
+void _muldm_dup(VL vl,DP p,MP m0,DP *pr);
+void _weyl_muldm_dup(VL vl,MP m0,DP p,DP *pr);
+void _weyl_mulmm_dup(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
+void _comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
+void _comm_muld_tab_destructive(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1);
+
+int has_fcoef(DP f);
+int has_fcoef_p(P f);
+void initd(struct order_spec *spec);
+void ptod(VL vl,VL dvl,P p,DP *pr);
+void dtop(VL vl,VL dvl,DP p,P *pr);
+void nodetod(NODE node,DP *dp);
+int sugard(MP m);
+void addd(VL vl,DP p1,DP p2,DP *pr);
+void symb_addd(DP p1,DP p2,DP *pr);
+NODE symb_merge(NODE m1,NODE m2,int n);
+DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n);
+void subd(VL vl,DP p1,DP p2,DP *pr);
+void chsgnd(DP p,DP *pr);
+void muld(VL vl,DP p1,DP p2,DP *pr);
+void comm_muld(VL vl,DP p1,DP p2,DP *pr);
+void muldm(VL vl,DP p,MP m0,DP *pr);
+void weyl_muld(VL vl,DP p1,DP p2,DP *pr);
+void weyl_muldm(VL vl,MP m0,DP p,DP *pr);
+void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
+void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
+void muldc(VL vl,DP p,P c,DP *pr);
+void divsdc(VL vl,DP p,P c,DP *pr);
+void adddl(int n,DL d1,DL d2,DL *dr);
+void adddl_destructive(int n,DL d1,DL d2);
+int compd(VL vl,DP p1,DP p2);
+int cmpdl_lex(int n,DL d1,DL d2);
+int cmpdl_revlex(int n,DL d1,DL d2);
+int cmpdl_gradlex(int n,DL d1,DL d2);
+int cmpdl_revgradlex(int n,DL d1,DL d2);
+int cmpdl_blex(int n,DL d1,DL d2);
+int cmpdl_bgradlex(int n,DL d1,DL d2);
+int cmpdl_brevgradlex(int n,DL d1,DL d2);
+int cmpdl_brevrev(int n,DL d1,DL d2);
+int cmpdl_bgradrev(int n,DL d1,DL d2);
+int cmpdl_blexrev(int n,DL d1,DL d2);
+int cmpdl_elim(int n,DL d1,DL d2);
+int cmpdl_weyl_elim(int n,DL d1,DL d2);
+int cmpdl_homo_ww_drl(int n,DL d1,DL d2);
+int cmpdl_order_pair(int n,DL d1,DL d2);
+int cmpdl_matrix(int n,DL d1,DL d2);
+void ptomd(VL vl,int mod,VL dvl,P p,DP *pr);
+void mptomd(VL vl,int mod,VL dvl,P p,DP *pr);
+void mdtop(VL vl,int mod,VL dvl,DP p,P *pr);
+void addmd(VL vl,int mod,DP p1,DP p2,DP *pr);
+void submd(VL vl,int mod,DP p1,DP p2,DP *pr);
+void chsgnmd(int mod,DP p,DP *pr);
+void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
+void comm_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
+void weyl_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
+void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
+void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
+void weyl_mulmmm(VL vl,int mod,MP m0,MP m1,int n,DP *pr);
+void mulmdc(VL vl,int mod,DP p,P c,DP *pr);
+void divsmdc(VL vl,int mod,DP p,P c,DP *pr);
+void _dtop_mod(VL vl,VL dvl,DP p,P *pr);
+void _dp_mod(DP p,int mod,NODE subst,DP *rp);
+void _dp_monic(DP p,int mod,DP *rp);
+void _printdp(DP d);
+void addmd_destructive(int mod,DP p1,DP p2,DP *pr);
+void mulmd_dup(int mod,DP p1,DP p2,DP *pr);
+void comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
+void weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
+void mulmdm_dup(int mod,DP p,MP m0,DP *pr);
+void weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
+void weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
+void comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
+void adddl_dup(int n,DL d1,DL d2,DL *dr);
+void monicup(UP a,UP *b);
+void simpup(UP a,UP *b);
+void simpnum(Num a,Num *b);
+void uremp(P p1,P p2,P *rp);
+void ugcdp(P p1,P p2,P *rp);
+void reversep(P p1,Q d,P *rp);
+void invmodp(P p1,Q d,P *rp);
+void addup(UP n1,UP n2,UP *nr);
+void subup(UP n1,UP n2,UP *nr);
+void chsgnup(UP n1,UP *nr);
+void hybrid_mulup(int ff,UP n1,UP n2,UP *nr);
+void hybrid_squareup(int ff,UP n1,UP *nr);
+void hybrid_tmulup(int ff,UP n1,UP n2,int d,UP *nr);
+void mulup(UP n1,UP n2,UP *nr);
+void mulcup(Num c,UP n1,UP *nr);
+void tmulup(UP n1,UP n2,int d,UP *nr);
+void squareup(UP n1,UP *nr);
+void remup(UP n1,UP n2,UP *nr);
+void remup_destructive(UP n1,UP n2);
+void qrup(UP n1,UP n2,UP *nq,UP *nr);
+void qrup_destructive(UP n1,UP n2);
+void gcdup(UP n1,UP n2,UP *nr);
+void extended_gcdup(UP a,UP m,UP *r);
+void reverseup(UP n1,int d,UP *nr);
+void invmodup(UP n1,int d,UP *nr);
+void pwrup(UP n,Q e,UP *nr);
+int compup(UP n1,UP n2);
+void kmulp(VL vl,P n1,P n2,P *nr);
+void ksquarep(VL vl,P n1,P *nr);
+void kmulup(UP n1,UP n2,UP *nr);
+void ksquareup(UP n1,UP *nr);
+void copyup(UP n1,UP n2);
+void c_copyup(UP n,int len,pointer *p);
+void kmulupmain(UP n1,UP n2,UP *nr);
+void ksquareupmain(UP n1,UP *nr);
+void rembymulup(UP n1,UP n2,UP *nr);
+void hybrid_rembymulup_special(int ff,UP n1,UP n2,UP inv2,UP *nr);
+void rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
+void tkmulup(UP n1,UP n2,int d,UP *nr);
+void shiftup(UP n,int d,UP *nr);
+void fft_rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
+void set_degreeup(UP n,int d);
+void decompup(UP n,int d,UP *n0,UP *n1);
+void truncup(UP n1,int d,UP *nr);
+int int_bits(int t);
+int maxblenup(UP n);
+void uptofmarray(int mod,UP n,ModNum *f);
+void fmarraytoup(ModNum *f,int d,UP *nr);
+void uiarraytoup(unsigned int **f,int n,int d,UP *nr);
+void adj_coefup(UP n,N m,N m2,UP *nr);
+void remcup(UP n,N mod,UP *nr);
+void fft_mulup(UP n1,UP n2,UP *nr);
+void trunc_fft_mulup(UP n1,UP n2,int dbd,UP *nr);
+void fft_squareup(UP n1,UP *nr);
+void fft_mulup_main(UP n1,UP n2,int dbd,UP *nr);
+void crup(ModNum **f,int d,int *mod,int index,N m,UP *r);
+void fft_mulup_specialmod_main(UP n1,UP n2,int dbd,int *modind,int nmod,UP *nr);
+void divn(N n1,N n2,N *nq,N *nr);
+void divsn(N n1,N n2,N *nq);
+void remn(N n1,N n2,N *nr);
+void remn_special(N a,N d,int bits,unsigned int lower,N *b);
+void mulin(N n,unsigned int d,unsigned int *p);
+unsigned int divin(N n,unsigned int dvr,N *q);
+void bprintn(N n);
+void bxprintn(N n);
+void muln(N n1,N n2,N *nr);
+void _muln(N n1,N n2,N nr);
+void muln_1(unsigned int *p,int s,unsigned int d,unsigned int *r);
+void divnmain(int d1,int d2,unsigned int *m1,unsigned int *m2,unsigned int *q);
+void divnmain_special(int d1,int d2,unsigned int *m1,unsigned int *m2,unsigned int *q);
+unsigned int divn_1(unsigned int *p,int s,unsigned int d,unsigned int *r);
+void addn(N n1,N n2,N *nr);
+int subn(N n1,N n2,N *nr);
+void _addn(N n1,N n2,N nr);
+int _subn(N n1,N n2,N nr);
+void addarray_to(unsigned int *a1,int n1,unsigned int *a2,int n2);
+void pwrn(N n,int e,N *nr);
+void gcdn(N n1,N n2,N *nr);
+void gcdEuclidn(N n1,N n2,N *nr);
+int cmpn(N n1,N n2);
+void bshiftn(N n,int b,N *r);
+void shiftn(N n,int w,N *r);
+void randomn(int bits,N *r);
+void freen(N n);
+int n_bits(N n);
+void fft_mulup_lm(UP n1,UP n2,UP *nr);
+void fft_squareup_lm(UP n1,UP *nr);
+void trunc_fft_mulup_lm(UP n1,UP n2,int dbd,UP *nr);
+void crup_lm(ModNum **f,int d,int *mod,int index,N m,N lm_mod,UP *r);
+void fft_rembymulup_special_lm(UP n1,UP n2,UP inv2,UP *nr);
+void uptolmup(UP n,UP *nr);
+void save_up(UP obj,char *name);
+void hybrid_powermodup(UP f,UP *xp);
+void powermodup(UP f,UP *xp);
+void hybrid_generic_powermodup(UP g,UP f,Q d,UP *xp);
+void generic_powermodup(UP g,UP f,Q d,UP *xp);
+void hybrid_powertabup(UP f,UP xp,UP *tab);
+void powertabup(UP f,UP xp,UP *tab);
+void squarep_gf2n(VL vl,P n1,P *nr);
+void squareup_gf2n(UP n1,UP *nr);
+void powermodup_gf2n(UP f,UP *xp);
+void generic_powermodup_gf2n(UP g,UP f,Q d,UP *xp);
+void tracemodup_gf2n(UP g,UP f,Q d,UP *xp);
+void tracemodup_gf2n_slow(UP g,UP f,Q d,UP *xp);
+void tracemodup_gf2n_tab(UP g,UP f,Q d,UP *xp);
+void square_rem_tab_up_gf2n(UP f,UP *tab,UP *rp);
+void powertabup_gf2n(UP f,UP xp,UP *tab);
+void find_root_gf2n(UP f,GF2N *r);
+void ptoup2(P n,UP2 *nr);
+void ptoup2_sparse(P n,UP2 *nr);
+void up2top(UP2 n,P *nr);
+void up2tovect(UP2 n,VECT *nr);
+void up2ton(UP2 p,Q *n);
+void ntoup2(Q n,UP2 *p);
+void gen_simpup2(UP2 p,GEN_UP2 m,UP2 *r);
+void gen_simpup2_destructive(UP2 p,GEN_UP2 m);
+void gen_invup2(UP2 p,GEN_UP2 m,UP2 *r);
+void gen_pwrmodup2(UP2 a,Q b,GEN_UP2 m,UP2 *c);
+void simpup2(UP2 p,UP2 m,UP2 *r);
+int degup2(UP2 a);
+int degup2_sparse(UP2 a);
+int degup2_1(unsigned int a);
+void addup2(UP2 a,UP2 b,UP2 *c);
+void subup2(UP2 a,UP2 b,UP2 *c);
+void _mulup2_1(UP2 a,unsigned int b,UP2 c);
+void _mulup2_h(UP2 a,unsigned int b,UP2 c);
+void mulup2(UP2 a,UP2 b,UP2 *c);
+void _kmulup2_(unsigned int *a,unsigned int *b,int w,unsigned int *c);
+void _mulup2_nn(unsigned int *a,unsigned int *b,int w,unsigned int *c);
+void _mulup2(UP2 a,UP2 b,UP2 c);
+void _mulup2_(_UP2 a,_UP2 b,_UP2 c);
+void squareup2(UP2 n,UP2 *nr);
+void _squareup2(UP2 n,UP2 nr);
+void _adjup2(UP2 n);
+void _adjup2_(_UP2 n);
+void _addup2(UP2 a,UP2 b,UP2 c);
+void _addup2_destructive(UP2 a,UP2 b);
+void _addup2_(_UP2 a,_UP2 b,_UP2 c);
+void _addtoup2_(_UP2 a,_UP2 b);
+unsigned int mulup2_bb(unsigned int a,unsigned int b);
+void init_up2_tab();
+void divup2_1(unsigned int a1,unsigned int a2,int e1,int e2,unsigned int *qp,unsigned int *rp);
+void qrup2(UP2 a,UP2 b,UP2 *q,UP2 *r);
+void _qrup2(UP2 a,UP2 b,UP2 q,UP2 r);
+void remup2(UP2 a,UP2 b,UP2 *c);
+void _remup2(UP2 a,UP2 b,UP2 c);
+void remup2_sparse(UP2 a,UP2 b,UP2 *c);
+void remup2_sparse_destructive(UP2 a,UP2 b);
+void remup2_type1_destructive(UP2 a,int d);
+void remup2_3_destructive(UP2 a,UP2 b);
+void remup2_5_destructive(UP2 a,UP2 b);
+void _invup2_1(unsigned int f1,unsigned int f2,unsigned int *a1,unsigned int *b1);
+void _gcdup2_1(unsigned int f1,unsigned int f2,unsigned int *gcd);
+void up2_init_eg();
+void up2_show_eg();
+void invup2(UP2 a,UP2 m,UP2 *inv);
+void gcdup2(UP2 a,UP2 m,UP2 *gcd);
+void chsgnup2(UP2 a,UP2 *c);
+void pwrmodup2(UP2 a,Q b,UP2 m,UP2 *c);
+void pwrmodup2_sparse(UP2 a,Q b,UP2 m,UP2 *c);
+int compup2(UP2 n1,UP2 n2);
+void _copyup2(UP2 n,UP2 r);
+void _bshiftup2(UP2 n,int b,UP2 r);
+void _bshiftup2_destructive(UP2 n,int b);
+void diffup2(UP2 f,UP2 *r);
+int sqfrcheckup2(UP2 f);
+int irredcheckup2(UP2 f);
+int irredcheck_dddup2(UP2 f);
+void _copy_up2bits(UP2 p,unsigned int **mat,int pos);
+int compute_multiplication_matrix(P p0,GF2MAT *mp);
+void compute_change_of_basis_matrix(P p0,P p1,int to,GF2MAT *m01,GF2MAT *m10);
+void compute_change_of_basis_matrix_with_root(P p0,P p1,int to,GF2N root,GF2MAT *m01,GF2MAT *m10);
+int compute_representation_conversion_matrix(P p0,GF2MAT *np,GF2MAT *pn);
+void mul_nb(GF2MAT mat,unsigned int *a,unsigned int *b,unsigned int *c);
+void leftshift(unsigned int *a,int n);
+void mat_to_gf2mat(MAT a,unsigned int ***b);
+void gf2mat_to_mat(unsigned int **a,int n,MAT *b);
+void mulgf2mat(int n,unsigned int **a,unsigned int **b,unsigned int **c);
+void mulgf2vectmat(int n,unsigned int *a,unsigned int **b,unsigned int *c);
+int mulgf2vectvect(int n,unsigned int *a,unsigned int *b);
+int invgf2mat(int n,unsigned int **a,unsigned int **b);
+void _mulup2_22(unsigned int *a1,unsigned int *a2,unsigned int *ar);
+void _mulup2_33(unsigned int *a1,unsigned int *a2,unsigned int *ar);
+void _mulup2_44(unsigned int *a1,unsigned int *a2,unsigned int *ar);
+void _mulup2_55(unsigned int *a1,unsigned int *a2,unsigned int *ar);
+void _mulup2_66(unsigned int *a1,unsigned int *a2,unsigned int *ar);
+void type1_bin_invup2(UP2 a,int n,UP2 *inv);
+UP2 *compute_tab_gf2n(UP2 f);
+UP compute_trace_gf2n(UP2 *tab,GF2N c,int n);
+void up2toup(UP2 f,UP *r);
+void find_root_up2(UP2 f,GF2N *r);
+void addq(Q n1,Q n2,Q *nr);
+void subq(Q n1,Q n2,Q *nr);
+void mulq(Q n1,Q n2,Q *nr);
+void divq(Q n1,Q n2,Q *nq);
+void divsq(Q n1,Q n2,Q *nq);
+void invq(Q n,Q *nr);
+void chsgnq(Q n,Q *nr);
+void pwrq(Q n1,Q n,Q *nr);
+int cmpq(Q q1,Q q2);
+void remq(Q n,Q m,Q *nr);
+void mkbc(int n,Q *t);
+void mkwc(int k,int l,Q *t);
+void mkwcm(int k,int l,int m,int *t);
+void factorial(int n,Q *r);
+void invl(Q a,Q mod,Q *ar);
+void kmuln(N n1,N n2,N *nr);
+void extractn(N n,int index,int len,N *nr);
+void copyn(N n,int len,int *p);
+void dupn(N n,N p);
+void kmulnmain(N n1,N n2,N *nr);
+void plisttop(P *f,V v,int n,P *gp);
+int divtp(VL vl,P p1,P p2,P *q);
+int divtdcp(VL vl,P p1,P p2,P *q);
+int divtpz(VL vl,P p1,P p2,P *q);
+int divtdcpz(VL vl,P p1,P p2,P *q);
+void udivpz(P f1,P f2,P *fqp,P *frp);
+void udivpwm(Q mod,P p1,P p2,P *q,P *r);
+void udivpzwm(Q mod,P f1,P f2,P *fqp,P *frp);
+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);
+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);
+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);
+void henzq1(P g,P h,Q bound,P *gcp,P *hcp,Q *qp);
+void addm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr);
+void subm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr);
+void mulm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr);
+void cmp(Q mod,P p,P *pr);
+void cm2p(Q mod,Q m,P p,P *pr);
+void addm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr);
+void subm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr);
+void mulm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr);
+void rem2q(Q n,Q m,Q m2,Q *nr);
+void exthpc_generic(VL vl,P p,int d,V v,P *pr);
+void exthp(VL vl,P p,int d,P *pr);
+void exthpc(VL vl,V v,P p,int d,P *pr);
+void cbound(VL vl,P p,Q *b);
+int geldb(VL vl,P p);
+int getdeg(V v,P p);
+void cmax(P p,Q *b);
+int nextbin(VN vn,int n);
+void mulsgn(VN vn,VN vnt,int n,VN vn1);
+void next(VN vn);
+void clctv(VL vl,P p,VL *nvlp);
+void markv(VN vn,int n,P p);
+void vntovl(VN vn,int n,VL *vlp);
+int dbound(V v,P f);
+int homdeg(P f);
+int minhomdeg(P f);
+void adjc(VL vl,P f,P a,P lc0,Q q,P *fr,P *ar);
+void affinemain(VL vl,P p,V v0,int n,P *pl,P *pr);
+void restore(VL vl,P f,VN vn,P *fr);
+void mergev(VL vl,VL vl1,VL vl2,VL *nvlp);
+void substvp(VL vl,P f,VN vn,P *g);
+void affine(VL vl,P f,VN vn,P *fr);
+void addnum(VL vl,Num a,Num b,Num *c);
+void subnum(VL vl,Num a,Num b,Num *c);
+void mulnum(VL vl,Num a,Num b,Num *c);
+void divnum(VL vl,Num a,Num b,Num *c);
+void pwrnum(VL vl,Num a,Num b,Num *c);
+void chsgnnum(Num a,Num *c);
+int compnum(VL vl,Num a,Num b);
+void one_ff(Num *c);
+int negative_number(Num c);
+void simp_ff(Obj p,Obj *rp);
+void field_order_ff(N *order);
+int fft_available(int d1,int n1,int d2,int n2);
+void get_fft_prime(int index,int *p,int *d);
+void nglob_init();
+void get_eg(struct oEGT *p);
+void init_eg(struct oEGT *eg);
+void add_eg(struct oEGT *base,struct oEGT *start,struct oEGT *end);
+void print_eg(char *item,struct oEGT *eg);
+void print_split_eg(struct oEGT *start,struct oEGT *end);
+void print_split_e(struct oEGT *start,struct oEGT *end);
+void suspend_timer() ;
+void resume_timer() ;
+void reset_engine() ;
+unsigned int get_asir_version() ;
+char *get_asir_distribution();
+void create_error(ERR *err,unsigned int serial,char *msg,LIST trace);
+void init_lprime();
+int get_lprime(int index);
+void create_new_lprimes(int index);
+void reorderp(VL nvl,VL ovl,P p,P *pr);
+void substp(VL vl,P p,V v0,P p0,P *pr);
+void detp(VL vl,P **rmat,int n,P *dp);
+void invmatp(VL vl,P **rmat,int n,P ***imatp,P *dnp);
+void reordvar(VL vl,V v,VL *nvlp);
+void gcdprsp(VL vl,P p1,P p2,P *pr);
+void gcdcp(VL vl,P p,P *pr);
+void sprs(VL vl,V v,P p1,P p2,P *pr);
+void resultp(VL vl,V v,P p1,P p2,P *pr);
+void srch2(VL vl,V v,P p1,P p2,P *pr);
+void srcr(VL vl,V v,P p1,P p2,P *pr);
+void res_ch_det(VL vl,V v,P p1,P p2,P *pr);
+void res_detmp(VL vl,int mod,V v,P p1,P p2,P *dp);
+void premp(VL vl,P p1,P p2,P *pr);
+void ptozp0(P p,P *pr);
+void mindegp(VL vl,P p,VL *mvlp,P *pr);
+void maxdegp(VL vl,P p,VL *mvlp,P *pr);
+void min_common_vars_in_coefp(VL vl,P p,VL *mvlp,P *pr);
+void minlcdegp(VL vl,P p,VL *mvlp,P *pr);
+void sort_by_deg(int n,P *p,P *pr);
+void sort_by_deg_rev(int n,P *p,P *pr);
+void getmindeg(V v,P p,Q *dp);
+void minchdegp(VL vl,P p,VL *mvlp,P *pr);
+int getchomdeg(V v,P p);
+int getlchomdeg(V v,P p,int *d);
+int nmonop(P p);
+int qpcheck(Obj p);
+int uzpcheck(Obj p);
+int p_mag(P p);
+int maxblenp(P p);
+void berle(int index,int count,P f,ML *listp);
+int berlecnt(int mod,UM f);
+int berlecntmain(int mod,int n,int m,int **c);
+UM *berlemain(int mod,UM f,UM *fp);
+void hensel(int index,int count,P f,ML *listp);
+void hensel2(int index,int count,P f,ML *listp);
+void henmain2(LUM f,UM g0,UM h0,UM a0,UM b0,int m,int bound,LUM *gp);
+void clearlum(int n,int bound,LUM f);
+void addtolum(int m,int bound,LUM f,LUM g);
+void hsq(int index,int count,P f,int *nindex,DCP *dcp);
+void gcdgen(P f,ML blist,ML *clistp);
+void henprep2(int mod,int q,int k,UM f,UM g,UM h,UM qg,UM qh,UM qa,UM qb);
+void henprep(P f,ML blist,ML clist,ML *bqlistp,ML *cqlistp);
+void henmain(LUM f,ML bqlist,ML cqlist,ML *listp);
+int mignotte(int q,P f);
+int mig(int q,int d,P f);
+void sqad(unsigned int man,int exp);
+void ptolum(int q,int bound,P f,LUM fl);
+void modfctrp(P p,int mod,int flag,DCP *dcp);
+void gensqfrum(int mod,UM p,struct oDUM *dc);
+void ddd(int mod,UM f,UM *r);
+void canzas(int mod,UM f,int d,UM *base,UM *r);
+void randum(int mod,int d,UM p);
+void pwrmodum(int mod,UM p,int e,UM f,UM pr);
+void spwrum(int mod,UM m,UM *base,UM f,N e,UM r);
+void spwrum0(int mod,UM m,UM f,N e,UM r);
+void mult_mod_tab(UM p,int mod,UM *tab,UM r,int d);
+void make_qmat(UM p,int mod,UM *tab,int ***mp);
+void null_mod(int **mat,int mod,int n,int *ind);
+void null_to_sol(int **mat,int *ind,int mod,int n,UM *r);
+void newddd(int mod,UM f,UM *r);
+int nfctr_mod(UM f,int mod);
+int irred_check(UM f,int mod);
+int berlekamp(UM p,int mod,int df,UM *tab,UM *r);
+void minipoly_mod(int mod,UM f,UM p,UM mp);
+void lnf_mod(int mod,int n,UM p0,UM p1,struct p_pair *list,UM np0,UM np1);
+void showum(UM p);
+void showumat(int **mat,int n);
+int find_root(int mod,UM p,int *root);
+void fctrp(VL vl,P f,DCP *dcp);
+void fctr_wrt_v_p(VL vl,P f,V v,DCP *dcp);
+void homfctr(VL vl,P g,DCP *dcp);
+void mfctr(VL vl,P f,DCP *dcp);
+void mfctr_wrt_v(VL vl,P f,V v,DCP *dcp);
+void adjsgn(P p,DCP dc);
+int headsgn(P p);
+void fctrwithmvp(VL vl,P f,V v,DCP *dcp);
+void mfctrwithmv(VL vl,P f,V v,DCP *dcp);
+void ufctr(P f,int hint,DCP *dcp);
+void mfctrmain(VL vl,P p,DCP *dcp);
+void ufctrmain(P p,int hint,DCP *dcp);
+void cycm(V v,int n,DCP *dcp);
+void cycp(V v,int n,DCP *dcp);
+void calcphi(V v,int n,struct oMF *mfp);
+void mkssum(V v,int e,int s,int sgn,P *r);
+int iscycp(P f);
+int iscycm(P f);
+void sortfs(DCP *dcp);
+void sortfsrev(DCP *dcp);
+void nthrootchk(P f,struct oDUM *dc,ML fp,DCP *dcp);
+void sqfrp(VL vl,P f,DCP *dcp);
+void msqfr(VL vl,P f,DCP *dcp);
+void usqp(P f,DCP *dcp);
+void msqfrmain(VL vl,P p,DCP *dcp);
+void msqfrmainmain(VL vl,P p,VN vn,P p0,DCP dc0,DCP *dcp,P *pp);
+void mfctrhen2(VL vl,VN vn,P f,P f0,P g0,P h0,P lcg,P lch,P *gp);
+int sqfrchk(P p);
+int cycchk(P p);
+int zerovpchk(VL vl,P p,VN vn);
+int valideval(VL vl,DCP dc,VN vn);
+void estimatelc(VL vl,Q c,DCP dc,VN vn,P *lcp);
+void monomialfctr(VL vl,P p,P *pr,DCP *dcp);
+void afctr(VL vl,P p0,P p,DCP *dcp);
+void afctrmain(VL vl,P p0,P p,int init,DCP *dcp);
+int divtmp(VL vl,int mod,P p1,P p2,P *q);
+int divtdcmp(VL vl,int mod,P p1,P p2,P *q);
+void GC_gcollect();
+
+/* IMAT */
+void Pnewimat(NODE, IMAT *);
+void PChsgnI(NODE, IMAT *);
+void Pm2Im(NODE, IMAT *);
+void PIm2m(NODE, MAT *);
+
+void AddMatI(VL, IMAT, IMAT, IMAT *);
+void MulMatI(VL, IMAT, IMAT, IMAT *);
+void MulMatG(VL, Obj, Obj, Obj *);
+void MulrMatI(VL, Obj, Obj, Obj *);
+void MulMatS(VL, IMAT, IMAT, IMAT *);
+void PutIent(IMAT, int, int, Obj);
+void GetIent(IMAT, int, int, Obj);
+void GetIbody(IMAT, int, int, Obj *);
+void ChsgnI(IMAT, IMAT *c);
+void AppendIent(IMAT, int, int, Obj);
+void MEnt(int, int, int, Obj, IENT *);
+void GetForeIent(IMATC *, IENT *, int *);
+void GetNextIent(IMATC *, IENT *, int *);
+void SubMatI(VL, IMAT, IMAT, IMAT *);
+/* IMAT */
+
+Z stoz(int c);
+Z utoz(unsigned int c);
+Z qtoz(Q n);
+Q ztoq(Z n);
+Z chsgnz(Z n);
+Z simpz(Z n);
+Z dupz(Z n);
+Z absz(Z n);
+Z addz(Z n1,Z n2);
+Z subz(Z n1,Z n2);
+Z mulz(Z n1,Z n2);
+Z divsz(Z n1,Z n2);
+Z divz(Z n1,Z n2,Z *rem);
+Z gcdz(Z n1,Z n2);
+Z gcdz_cofactor(Z n1,Z n2,Z *c1,Z *c2);
+Z estimate_array_gcdz(Z *a,int n);
+Z array_gcdz(Z *a,int n);
+void mkwcz(int k,int l,Z *t);
+int remzi(Z n,int m);
+
+
 #if 0 && !defined(VISUAL)
 void bzero(const void *,int);
 void bcopy(const void *,void *,int);
 char *index(char *,int);
 #endif
+
+void chsgnnbp(NBP p,NBP *rp);
+void subnbp(VL vl,NBP p1,NBP p2, NBP *rp);
+void addnbp(VL vl,NBP p1,NBP p2, NBP *rp);
+void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
+void pwrnbp(VL vl,NBP p1,Q n, NBP *rp);
+int compnbp(VL vl,NBP p1,NBP p2);
+
+#define WORDSIZE_IN_N(a) (ABS((a)->_mp_size)*GMP_LIMB_BITS/32)
+
+#define MPZTOGZ(g,q) \
+(!mpz_sgn(g)?((q)=0):(NEWGZ(q),BDY(q)[0]=(g)[0],(q)))
+#define MPQTOGQ(g,q) \
+(!mpq_sgn(g)?((q)=0):(NEWGQ(q),BDY(q)[0]=(g)[0],(q)))
+
+#define INTMPQ(a) (!mpz_cmp_ui(mpq_numref(a),1))
+
+#define UNIGZ(a) ((a)&&NID(a)==N_GZ&&!mpz_cmp_ui(BDY(a),1))
+#define MUNIGZ(a) ((a)&&NID(a)==N_GZ&&!mpz_cmp_si(BDY(a),-1))
+
+#define INTGQ(a) ((a)&&NID(a)==N_GQ&&!mpz_cmp_ui(mpq_denref(BDY(a)),1))
+
+#define UNIGQ(a) \
+((a)&&NID(a)==N_GQ&&!mpz_cmp_ui(mpq_numref(BDY(a)),1)&&!mpz_cmp_ui(mpq_denref(BDY(a)),1))
+#define MUNIGQ(a) \
+((a)&&NID(a)==N_GQ&&!mpz_cmp_si(mpq_numref(BDY(a)),-1)&&!mpz_cmp_ui(mpq_denref(BDY(a)),1))
+
+#define MPZTOMPQ(z,q) \
+(mpq_init(q),mpq_numref(q)[0] = (z)[0],mpz_set_ui(mpq_denref(q),1))
+
+extern mpz_t ONEMPZ;
+extern GZ ONEGZ;
+
+void *gc_realloc(void *p,size_t osize,size_t nsize);
+void gc_free(void *p,size_t size);
+void init_gmpq();
+GQ mpqtogzq(mpq_t a);
+GQ qtogq(Q a);
+Q gqtoq(GQ a);
+GZ ztogz(Q a);
+Q gztoz(GZ a);
+P ptogp(P a);
+P gptop(P a);
+void addgz(GZ n1,GZ n2,GZ *nr);
+void subgz(GZ n1,GZ n2,GZ *nr);
+void mulgz(GZ n1,GZ n2,GZ *nr);
+void mul1gz(GZ n1,int n2,GZ *nr);
+void divgz(GZ n1,GZ n2,GZ *nq);
+void chsgngz(GZ n,GZ *nr);
+void pwrgz(GZ n1,Q n,GZ *nr);
+int cmpgz(GZ q1,GZ q2);
+void gcdgz(GZ n1,GZ n2,GZ *nq);
+void gcdvgz(VECT v,GZ *q);
+void addgq(GQ n1,GQ n2,GQ *nr);
+void subgq(GQ n1,GQ n2,GQ *nr);
+void mulgq(GQ n1,GQ n2,GQ *nr);
+void divgq(GQ n1,GQ n2,GQ *nq);
+void chsgngq(GQ n,GQ *nr);
+void pwrgq(GQ n1,Q n,GQ *nr);
+int cmpgq(GQ n1,GQ n2);
+void mkgwc(int k,int l,GZ *t);
+void gz_ptozp(P p,int sgn,GQ *c,P *pr);
+void gz_lgp(P p,GZ *g,GZ *l);
+void gz_qltozl(GQ *w,int n,GZ *dvr);
+
+void _mdtodp(DP p,DP *pr);
+void add_denomlist(P f);
+void algobjtorat(Obj f,Obj *r);
+void algtodalg(Alg a,DAlg *r);
+void appenduflist(NODE n);
+void arf_add(VL,Obj,Obj,Obj *);
+void arf_chsgn(Obj,Obj *);
+void arf_div(VL,Obj,Obj,Obj *);
+void arf_mul(VL,Obj,Obj,Obj *);
+void arf_sub(VL,Obj,Obj,Obj *);
+void asir_terminate(int);
+void check_intr();
+void clctalg(P,VL *);
+void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr);
+void comm_quod(VL vl,DP p1,DP p2,DP *pr);
+void create_modorder_spec(int id,LIST shift,struct modorder_spec **s);
+void dalgtoalg(DAlg da,Alg *r);
+void divsgz(GZ n1,GZ n2,GZ *nq);
+void dp_ht(DP p,DP *rp);
+void dp_interreduce(LIST f,LIST v,int field,struct order_spec *ord,LIST *rp);
+void dp_mbase(NODE,NODE *);
+void dp_nf_tab_f(DP p,LIST *tab,DP *rp);
+void dp_ptozp(DP,DP *);
+void dp_sort(DP p,DP *rp);
+void dp_subd(DP,DP,DP *);
+void dp_true_nf(NODE,DP,DP *,int,DP *,P *);
+void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *nmp,P *dnp);
+void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp);
+void gbcheck_list(NODE f,int n,VECT *gp,LIST *pp);
+void gcdsf(VL vl,P *pa,int k,P *r);
+void get_algtree(Obj f,VL *r);
+void get_vars(Obj,VL *);
+void gfstopgfs(GFS a,V v,P *c);
+void henmain_incremental(LUM f,LUM *bqlist,ML cqlist, int np, int mod, int start, int bound);
+void iftogfs(int n,GFS *c);
+void indextogfs(int index,GFS *c);
+void init_denomlist();
+void inva_chrem(P p0,P p,NODE *pr);
+void itogfs(int n,GFS *c);
+void lcmn(N n1,N n2,N *nr);
+void makevar(char *,P *);
+void mdtodp(DP p,DP *pr);
+void mfctrsf(VL vl,P f,DCP *dcp);
+void mulp_trunc(VL vl,P p1,P p2,VN vn,P *pr);
+void nd_det(int mod,MAT f,P *rp);
+void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp);
+void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp);
+void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp);
+void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp);
+void nd_nf_p(Obj f,LIST g,LIST v,int m,struct order_spec *ord,Obj *rp);
+void obj_algtodalg(Obj obj,Obj *r);
+void obj_dalgtoalg(Obj obj,Obj *r);
+void ox_bcast_102(int root);
+void ox_reduce_102(int root,void (*func)());
+void print_to_wfep(Obj obj);
+void printn(N);
+void printz(Z n);
+void pthrootgfs(GFS a,GFS *b);
+void quop_trunc(VL vl,P p1,P p2,VN vn,P *pr);
+void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len);
+void removecont_array(P *c,int n,int full);
+void reset_top_weight();
+void setfield_dalg(NODE alist);
+void setfield_gb(NODE gb,VL vl,struct order_spec *spec);
+void setsecuremode(int value);
+void sfbfctr_shift(P f,V x,V y,int degbound,GFS *evp,P *sfp,DCP *dcp);
+void sfexgcd_by_hensel(BM g,BM h,int dy,BM *ap,BM *bp);
+void sfptopsfp(P f,V v,P *gp);
+void simpdalg(DAlg da,DAlg *r);
+void simple_derivr(VL vl,Obj a,V v,Obj *b);
+void substpp(VL vl,P p,V *vvect,P *svect,int nv,P *pr);
+void ufctrsf(P p,DCP *dcp);
+void vltopl(VL vl,LIST *l);
+
+int arf_comp(VL, Obj, Obj);
+int available_mcindex(int ind);
+int compare_zero(int n,int *u,int row,int **w);
+int create_composite_order_spec(VL vl,LIST order,struct order_spec **specp);
+int create_order_spec(VL,Obj,struct order_spec **);
+int dalgtoup(DAlg da,P *up,Q *dn);
+int dl_equal(int nv,DL dl1,DL dl2);
+int dp_redble(DP,DP);
+int dpv_hp(DPV p);
+int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn,int **rindp,int **cindp);
+int generic_gauss_elim_hensel_dalg(MAT mat,DP *mb,MAT *nmmat,Q *dn,int **rindp,int **cindp);
+int generic_gauss_elim_mod(int **mat0,int row,int col,int md,int *colstat);
+int generic_gauss_elim_mod2(int **mat0,int row,int col,int md,int *colstat,int *rowstat);
+int get_field_type(P p);
+int get_ox_server_id(int index);
+int getsecuremode();
+int gz_generic_gauss_elim(MAT mat,MAT *nm,GZ *dn,int **rindp,int **cindp);
+int gz_generic_gauss_elim_full(MAT mat,MAT *nm,GZ *dn,int **rindp,int **cindp);
+int gz_gensolve_check(MAT mat,MAT nm,GZ dn,int *rind,int *cind);
+int gz_gensolve_check2(MAT mat,MAT nm,GZ *dn,int *rind,int *cind);
+int gz_intmtoratm(MAT mat,GZ md,MAT nm,GZ *dn);
+int gz_intmtoratm2(MAT mat,GZ md,MAT nm,GZ *dn,int *stat);
+int gz_inttorat(GZ c,GZ m,GZ b,int *sgnp,GZ *nmp,GZ *dnp);
+int gz_intvtoratv(GZ *v,int n,GZ md,GZ b,GZ *nm,GZ *dn);
+int invdalg(DAlg a,DAlg *c);
+int is_eq(Obj a0,Obj a1);
+int length(NODE);
+int lu_mod(unsigned int **a,int n,unsigned int md,int **rinfo);
+int n_bits_gz(GZ a);
+int nd_gauss_elim_gz(GZ **mat0,int *sugar,int row,int col,int *colstat);
+int poly_is_dependent(P p,V v);
+int setsecureflag(char *name,int value);
+int sfdegtest(int dy,int bound,UM *d1c,int k,int *in);
+int sgnz(Z n);