===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/array.c,v
retrieving revision 1.3
retrieving revision 1.13
diff -u -p -r1.3 -r1.13
--- OpenXM_contrib2/asir2000/builtin/array.c	2000/04/20 02:20:15	1.3
+++ OpenXM_contrib2/asir2000/builtin/array.c	2001/06/07 05:14:48	1.13
@@ -1,14 +1,63 @@
-/* $OpenXM: OpenXM_contrib2/asir2000/builtin/array.c,v 1.2 2000/03/14 05:25:43 noro Exp $ */
+/*
+ * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED 
+ * All rights reserved.
+ * 
+ * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
+ * non-exclusive and royalty-free license to use, copy, modify and
+ * redistribute, solely for non-commercial and non-profit purposes, the
+ * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
+ * conditions of this Agreement. For the avoidance of doubt, you acquire
+ * only a limited right to use the SOFTWARE hereunder, and FLL or any
+ * third party developer retains all rights, including but not limited to
+ * copyrights, in and to the SOFTWARE.
+ * 
+ * (1) FLL does not grant you a license in any way for commercial
+ * purposes. You may use the SOFTWARE only for non-commercial and
+ * non-profit purposes only, such as academic, research and internal
+ * business use.
+ * (2) The SOFTWARE is protected by the Copyright Law of Japan and
+ * international copyright treaties. If you make copies of the SOFTWARE,
+ * with or without modification, as permitted hereunder, you shall affix
+ * to all such copies of the SOFTWARE the above copyright notice.
+ * (3) An explicit reference to this SOFTWARE and its copyright owner
+ * shall be made on your publication or presentation in any form of the
+ * results obtained by use of the SOFTWARE.
+ * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
+ * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
+ * for such modification or the source code of the modified part of the
+ * SOFTWARE.
+ * 
+ * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
+ * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
+ * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
+ * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
+ * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
+ * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
+ * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
+ * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
+ * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
+ * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
+ * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
+ * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
+ * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
+ * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
+ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
+ * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
+ *
+ * $OpenXM: OpenXM_contrib2/asir2000/builtin/array.c,v 1.12 2001/06/07 04:54:38 noro Exp $ 
+*/
 #include "ca.h"
 #include "base.h"
 #include "parse.h"
 #include "inline.h"
-/*
+
+#if 0
 #undef DMAR
 #define DMAR(a1,a2,a3,d,r) (r)=dmar(a1,a2,a3,d);
-*/
+#endif
 
-extern int Print; /* XXX */
+extern int DP_Print; /* XXX */
 
 void inner_product_mat_int_mod(Q **,int **,int,int,int,Q *);
 void solve_by_lu_mod(int **,int,int,int **,int);
@@ -24,6 +73,7 @@ int gauss_elim_mod1(int **,int,int,int);
 int gauss_elim_geninv_mod(unsigned int **,int,int,int);
 int gauss_elim_geninv_mod_swap(unsigned int **,int,int,unsigned int,unsigned int ***,int **);
 void Pnewvect(), Pnewmat(), Psepvect(), Psize(), Pdet(), Pleqm(), Pleqm1(), Pgeninvm();
+void Pnewbytearray();
 
 void Pgeneric_gauss_elim_mod();
 
@@ -48,6 +98,7 @@ struct ftab array_tab[] = {
 	{"generic_gauss_elim_mod",Pgeneric_gauss_elim_mod,2},
 	{"newvect",Pnewvect,-2},
 	{"newmat",Pnewmat,-3},
+	{"newbytearray",Pnewbytearray,-2},
 	{"sepmat_destructive",Psepmat_destructive,2},
 	{"sepvect",Psepvect,2},
 	{"qsort",Pqsort,-2},
@@ -308,7 +359,7 @@ VECT *rp;
 
 	asir_assert(ARG0(arg),O_N,"newvect");
 	len = QTOS((Q)ARG0(arg)); 
-	if ( len <= 0 )
+	if ( len < 0 )
 		error("newvect : invalid size");
 	MKVECT(vect,len);
 	if ( argc(arg) == 2 ) {
@@ -325,6 +376,50 @@ VECT *rp;
 	*rp = vect;
 }
 
+void Pnewbytearray(arg,rp)
+NODE arg;
+BYTEARRAY *rp;
+{
+	int len,i,r;
+	BYTEARRAY array;
+	unsigned char *vb;
+	char *str;
+	LIST list;
+	NODE tn;
+
+	asir_assert(ARG0(arg),O_N,"newbytearray");
+	len = QTOS((Q)ARG0(arg)); 
+	if ( len < 0 )
+		error("newbytearray : invalid size");
+	MKBYTEARRAY(array,len);
+	if ( argc(arg) == 2 ) {
+		if ( !ARG1(arg) )
+			error("newbytearray : invalid initialization");
+		switch ( OID((Obj)ARG1(arg)) ) {
+			case O_LIST:
+				list = (LIST)ARG1(arg);
+				asir_assert(list,O_LIST,"newbytearray");
+				for ( r = 0, tn = BDY(list); tn; r++, tn = NEXT(tn) );
+				if ( r <= len ) {
+					for ( i = 0, tn = BDY(list), vb = BDY(array); tn; 
+						i++, tn = NEXT(tn) )
+						vb[i] = (unsigned char)QTOS((Q)BDY(tn));
+				}
+				break;
+			case O_STR:
+				str = BDY((STRING)ARG1(arg));
+				r = strlen(str);
+				if ( r <= len )
+					bcopy(str,BDY(array),r);
+				break;
+			default:
+				if ( !ARG1(arg) )
+					error("newbytearray : invalid initialization");
+		}
+	}
+	*rp = array;
+}
+
 void Pnewmat(arg,rp)
 NODE arg;
 MAT *rp;
@@ -339,7 +434,7 @@ MAT *rp;
 	asir_assert(ARG0(arg),O_N,"newmat");
 	asir_assert(ARG1(arg),O_N,"newmat");
 	row = QTOS((Q)ARG0(arg)); col = QTOS((Q)ARG1(arg));
-	if ( row <= 0 || col <= 0 )
+	if ( row < 0 || col < 0 )
 		error("newmat : invalid size");
 	MKMAT(m,row,col);
 	if ( argc(arg) == 3 ) {
@@ -663,8 +758,10 @@ int row,col,md;
 			t = mat[i];
 			if ( i != j && (a = t[j]) )
 				for ( k = j, a = md - a; k <= n; k++ ) {
+					unsigned int tk;
 /*					t[k] = dmar(pivot[k],a,t[k],md); */
-					DMAR(pivot[k],a,t[k],md,t[k])
+					DMAR(pivot[k],a,t[k],md,tk)
+					t[k] = tk;
 				}
 		}
 	}
@@ -675,7 +772,7 @@ int row,col,md;
 		return -1;
 }
 
-struct oEGT eg_mod,eg_elim,eg_chrem,eg_gschk,eg_intrat,eg_symb;
+struct oEGT eg_mod,eg_elim,eg_elim1,eg_elim2,eg_chrem,eg_gschk,eg_intrat,eg_symb;
 
 int generic_gauss_elim(mat,nm,dn,rindp,cindp)
 MAT mat;
@@ -708,10 +805,10 @@ int **rindp,**cindp;
 	colstat = (int *)MALLOC_ATOMIC(col*sizeof(int));
 	wcolstat = (int *)MALLOC_ATOMIC(col*sizeof(int));
 	for ( ind = 0; ; ind++ ) {
-		if ( Print ) {
+		if ( DP_Print ) {
 			fprintf(asir_out,"."); fflush(asir_out);
 		}
-		md = lprime[ind];
+		md = get_lprime(ind);
 		get_eg(&tmp0);
 		for ( i = 0; i < row; i++ )
 			for ( j = 0, bmi = bmat[i], wmi = wmat[i]; j < col; j++ )
@@ -745,13 +842,13 @@ RESET:
 					}
 		} else {
 			if ( rank < rank0 ) {
-				if ( Print ) {
+				if ( DP_Print ) {
 					fprintf(asir_out,"lower rank matrix; continuing...\n");
 					fflush(asir_out);
 				}
 				continue;
 			} else if ( rank > rank0 ) {
-				if ( Print ) {
+				if ( DP_Print ) {
 					fprintf(asir_out,"higher rank matrix; resetting...\n");
 					fflush(asir_out);
 				}
@@ -759,7 +856,7 @@ RESET:
 			} else {
 				for ( j = 0; (j<col) && (colstat[j]==wcolstat[j]); j++ );
 				if ( j < col ) {
-					if ( Print ) {
+					if ( DP_Print ) {
 						fprintf(asir_out,"inconsitent colstat; resetting...\n");
 						fflush(asir_out);
 					}
@@ -798,7 +895,10 @@ RESET:
 			add_eg(&eg_chrem_split,&tmp0,&tmp1);
 
 			get_eg(&tmp0);
-			ret = intmtoratm(crmat,m1,*nm,dn);
+			if ( ind % 16 )
+				ret = 0;
+			else
+				ret = intmtoratm(crmat,m1,*nm,dn);
 			get_eg(&tmp1);
 			add_eg(&eg_intrat,&tmp0,&tmp1);
 			add_eg(&eg_intrat_split,&tmp0,&tmp1);
@@ -815,7 +915,7 @@ RESET:
 					get_eg(&tmp1);
 					add_eg(&eg_gschk,&tmp0,&tmp1);
 					add_eg(&eg_gschk_split,&tmp0,&tmp1);
-					if ( Print ) {
+					if ( DP_Print ) {
 						print_eg("Mod",&eg_mod_split);
 						print_eg("Elim",&eg_elim_split);
 						print_eg("ChRem",&eg_chrem_split);
@@ -856,7 +956,7 @@ int **rindp,**cindp;
 	row = mat->row; col = mat->col;
 	w = (int **)almat(row,col);
 	for ( ind = 0; ; ind++ ) {
-		md = lprime[ind];
+		md = get_lprime(ind);
 		STOQ(md,mdq);
 		for ( i = 0; i < row; i++ )
 			for ( j = 0, ai = a0[i], wi = w[i]; j < col; j++ )
@@ -938,7 +1038,7 @@ int **rindp,**cindp;
 				add_eg(&eg_mul,&tmp0,&tmp1);
 				/* q = q*md */
 				mulq(q,mdq,&u); q = u;
-				if ( !(count % 2) && intmtoratm_q(xmat,NM(q),*nmmat,dn) ) {
+				if ( !(count % 16) && intmtoratm_q(xmat,NM(q),*nmmat,dn) ) {
 					for ( j = k = l = 0; j < col; j++ )
 						if ( cinfo[j] )
 							rind[k++] = j;	
@@ -1148,13 +1248,153 @@ Q *dn;
 	return 1;
 }
 
+#define ONE_STEP1  if ( zzz = *s ) { DMAR(zzz,hc,*tj,md,*tj) } tj++; s++;
+
+void reduce_reducers_mod(mat,row,col,md)
+int **mat;
+int row,col;
+int md;
+{
+	int i,j,k,l,hc,zzz;
+	int *t,*s,*tj,*ind;
+
+	/* reduce the reducers */
+	ind = (int *)ALLOCA(row*sizeof(int));
+	for ( i = 0; i < row; i++ ) {
+		t = mat[i];
+		for ( j = 0; j < col && !t[j]; j++ );
+		/* register the position of the head term */
+		ind[i] = j;
+		for ( l = i-1; l >= 0; l-- ) {
+			/* reduce mat[i] by mat[l] */
+			if ( hc = t[ind[l]] ) {
+				/* mat[i] = mat[i]-hc*mat[l] */
+				j = ind[l];
+				s = mat[l]+j;
+				tj = t+j;
+				hc = md-hc;
+				k = col-j;
+				for ( ; k >= 64; k -= 64 ) {
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+					ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
+				}
+				for ( ; k >= 0; k-- ) {
+					if ( zzz = *s ) { DMAR(zzz,hc,*tj,md,*tj) } tj++; s++;
+				}
+			}
+		}
+	}
+}
+
+/*
+	mat[i] : reducers (i=0,...,nred-1)
+	         spolys (i=nred,...,row-1)
+	mat[0] < mat[1] < ... < mat[nred-1] w.r.t the term order
+	1. reduce the reducers
+	2. reduce spolys by the reduced reducers
+*/
+
+void pre_reduce_mod(mat,row,col,nred,md)
+int **mat;
+int row,col,nred;
+int md;
+{
+	int i,j,k,l,hc,inv;
+	int *t,*s,*tk,*ind;
+
+#if 1
+	/* reduce the reducers */
+	ind = (int *)ALLOCA(row*sizeof(int));
+	for ( i = 0; i < nred; i++ ) {
+		/* make mat[i] monic and mat[i] by mat[0],...,mat[i-1] */
+		t = mat[i];
+		for ( j = 0; j < col && !t[j]; j++ );
+		/* register the position of the head term */
+		ind[i] = j;
+		inv = invm(t[j],md);
+		for ( k = j; k < col; k++ )
+			if ( t[k] )
+				DMAR(t[k],inv,0,md,t[k])
+		for ( l = i-1; l >= 0; l-- ) {
+			/* reduce mat[i] by mat[l] */
+			if ( hc = t[ind[l]] ) {
+				/* mat[i] = mat[i]-hc*mat[l] */
+				for ( k = ind[l], hc = md-hc, s = mat[l]+k, tk = t+k;
+					k < col; k++, tk++, s++ )
+					if ( *s )
+						DMAR(*s,hc,*tk,md,*tk)
+			}
+		}
+	}
+	/* reduce the spolys */
+	for ( i = nred; i < row; i++ ) {
+		t = mat[i];
+		for ( l = nred-1; l >= 0; l-- ) {
+			/* reduce mat[i] by mat[l] */
+			if ( hc = t[ind[l]] ) {
+				/* mat[i] = mat[i]-hc*mat[l] */
+				for ( k = ind[l], hc = md-hc, s = mat[l]+k, tk = t+k;
+					k < col; k++, tk++, s++ )
+					if ( *s )
+						DMAR(*s,hc,*tk,md,*tk)
+			}
+		}
+	}
+#endif
+}
+/*
+	mat[i] : reducers (i=0,...,nred-1)
+	mat[0] < mat[1] < ... < mat[nred-1] w.r.t the term order
+*/
+
+void reduce_sp_by_red_mod(sp,redmat,ind,nred,col,md)
+int *sp,**redmat;
+int *ind;
+int nred,col;
+int md;
+{
+	int i,j,k,hc,zzz;
+	int *t,*s,*tj;
+
+	/* reduce the spolys by redmat */
+	for ( i = nred-1; i >= 0; i-- ) {
+		/* reduce sp by redmat[i] */
+		if ( hc = sp[ind[i]] ) {
+			/* sp = sp-hc*redmat[i] */
+			j = ind[i];
+			hc = md-hc;
+			s = redmat[i]+j;
+			tj = sp+j;
+			for ( k = col-j; k >= 0; k-- ) {
+				if ( zzz = *s ) { DMAR(zzz,hc,*tj,md,*tj) } tj++; s++;
+			}
+		}
+	}
+}
+
+#define ONE_STEP2  if ( zzz = *pk ) { DMAR(zzz,a,*tk,md,*tk) } pk++; tk++;
+
 int generic_gauss_elim_mod(mat,row,col,md,colstat)
 int **mat;
 int row,col,md;
 int *colstat;
 {
-	int i,j,k,l,inv,a,rank;
-	int *t,*pivot;
+	int i,j,k,l,inv,a,rank,zzz;
+	int *t,*pivot,*pk,*tk;
 
 	for ( rank = 0, j = 0; j < col; j++ ) {
 		for ( i = rank; i < row && !mat[i][j]; i++ );
@@ -1168,17 +1408,37 @@ int *colstat;
 		}
 		pivot = mat[rank];
 		inv = invm(pivot[j],md);
-		for ( k = j; k < col; k++ )
-			if ( pivot[k] ) {
-				DMAR(pivot[k],inv,0,md,pivot[k])
+		for ( k = j, pk = pivot+k; k < col; k++, pk++ )
+			if ( *pk ) {
+				DMAR(*pk,inv,0,md,*pk)
 			}
 		for ( i = rank+1; i < row; i++ ) {
 			t = mat[i];
-			if ( a = t[j] )
-				for ( k = j, a = md - a; k < col; k++ )
-					if ( pivot[k] ) {
-						DMAR(pivot[k],a,t[k],md,t[k])
-					}
+			if ( a = t[j] ) {
+				a = md - a; pk = pivot+j; tk = t+j;
+				k = col-j;
+				for ( ; k >= 64; k -= 64 ) {
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+				}
+				for ( ; k >= 0; k -- ) {
+					if ( zzz = *pk ) { DMAR(zzz,a,*tk,md,*tk) } pk++; tk++;
+				}
+			}
 		}
 		rank++;
 	}
@@ -1187,11 +1447,31 @@ int *colstat;
 			pivot = mat[l];
 			for ( i = 0; i < l; i++ ) {
 				t = mat[i];
-				if ( a = t[j] )
-					for ( k = j, a = md-a; k < col; k++ )
-						if ( pivot[k] ) {
-							DMAR(pivot[k],a,t[k],md,t[k])
-						}
+				if ( a = t[j] ) {
+					a = md-a; pk = pivot+j; tk = t+j;
+					k = col-j;
+					for ( ; k >= 64; k -= 64 ) {
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					ONE_STEP2 ONE_STEP2 ONE_STEP2 ONE_STEP2
+					}
+					for ( ; k >= 0; k -- ) {
+						if ( zzz = *pk ) { DMAR(zzz,a,*tk,md,*tk) } pk++; tk++;
+					}
+				}
 			}
 			l--;
 		}
@@ -1233,7 +1513,10 @@ int *perm;
 				DMAR(inv,m,0,md,t[k])
 				for ( j = k+1, m = md - t[k]; j < col; j++ )
 					if ( pivot[j] ) {
-						DMAR(m,pivot[j],t[j],md,t[j])
+						unsigned int tj;
+
+						DMAR(m,pivot[j],t[j],md,tj)
+						t[j] = tj;
 					}
 			}
 		}
@@ -1288,7 +1571,9 @@ int **rinfo,**cinfo;
 				DMAR(inv,m,0,md,t[k])
 				for ( j = k+1, m = md - t[k]; j < col; j++ )
 					if ( pivot[j] ) {
-						DMAR(m,pivot[j],t[j],md,t[j])
+						unsigned int tj;
+						DMAR(m,pivot[j],t[j],md,tj)
+						t[j] = tj;
 					}
 			}
 		}
@@ -2237,7 +2522,7 @@ int row,col;
 
 	for ( i = 0; i < row; i++ ) {
 		for ( j = 0; j < col; j++ ) {
-			printnum(mat[i][j]); printf(" ");
+			printnum((Num)mat[i][j]); printf(" ");
 		}
 		printf("\n");
 	}