===================================================================
RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/array.c,v
retrieving revision 1.8
retrieving revision 1.23
diff -u -p -r1.8 -r1.23
--- OpenXM_contrib2/asir2000/builtin/array.c 2000/09/21 09:19:25 1.8
+++ OpenXM_contrib2/asir2000/builtin/array.c 2001/10/01 01:58:01 1.23
@@ -45,7 +45,7 @@
* 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 1.7 2000/08/22 05:03:56 noro Exp $
+ * $OpenXM: OpenXM_contrib2/asir2000/builtin/array.c,v 1.22 2001/09/17 08:37:30 noro Exp $
*/
#include "ca.h"
#include "base.h"
@@ -57,7 +57,7 @@
#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);
@@ -67,12 +67,15 @@ void mat_to_gfmmat(MAT,unsigned int,GFMMAT *);
int generic_gauss_elim_mod(int **,int,int,int,int *);
int generic_gauss_elim(MAT ,MAT *,Q *,int **,int **);
+void reduce_sp_by_red_mod_compress (int *,CDP *,int *,int,int,int);
int gauss_elim_mod(int **,int,int,int);
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 Pinvmat();
+void Pnewbytearray();
void Pgeneric_gauss_elim_mod();
@@ -89,6 +92,7 @@ void Px962_irredpoly_up2();
void Pirredpoly_up2();
void Pnbpoly_up2();
void Pqsort();
+void Pexponent_vector();
struct ftab array_tab[] = {
{"solve_by_lu_gfmmat",Psolve_by_lu_gfmmat,4},
@@ -96,13 +100,18 @@ struct ftab array_tab[] = {
{"mat_to_gfmmat",Pmat_to_gfmmat,2},
{"generic_gauss_elim_mod",Pgeneric_gauss_elim_mod,2},
{"newvect",Pnewvect,-2},
+ {"vector",Pnewvect,-2},
+ {"exponent_vector",Pexponent_vector,-99999999},
{"newmat",Pnewmat,-3},
+ {"matrix",Pnewmat,-3},
+ {"newbytearray",Pnewbytearray,-2},
{"sepmat_destructive",Psepmat_destructive,2},
{"sepvect",Psepvect,2},
{"qsort",Pqsort,-2},
{"vtol",Pvtol,1},
{"size",Psize,1},
{"det",Pdet,-2},
+ {"invmat",Pinvmat,-2},
{"leqm",Pleqm,2},
{"leqm1",Pleqm1,2},
{"geninvm",Pgeninvm,2},
@@ -374,6 +383,57 @@ VECT *rp;
*rp = vect;
}
+void Pexponent_vector(arg,rp)
+NODE arg;
+DP *rp;
+{
+ nodetod(arg,rp);
+}
+
+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;
@@ -583,6 +643,41 @@ P *rp;
}
}
+void Pinvmat(arg,rp)
+NODE arg;
+LIST *rp;
+{
+ MAT m,r;
+ int n,i,j,mod;
+ P dn;
+ P **mat,**imat,**w;
+ NODE nd;
+
+ m = (MAT)ARG0(arg);
+ asir_assert(m,O_MAT,"invmat");
+ if ( m->row != m->col )
+ error("invmat : non-square matrix");
+ else if ( argc(arg) == 1 ) {
+ n = m->row;
+ invmatp(CO,(P **)BDY(m),n,&imat,&dn);
+ NEWMAT(r); r->row = n; r->col = n; r->body = (pointer **)imat;
+ nd = mknode(2,r,dn);
+ MKLIST(*rp,nd);
+ } else {
+ n = m->row; mod = QTOS((Q)ARG1(arg)); mat = (P **)BDY(m);
+ w = (P **)almat_pointer(n,n);
+ for ( i = 0; i < n; i++ )
+ for ( j = 0; j < n; j++ )
+ ptomp(mod,mat[i][j],&w[i][j]);
+#if 0
+ detmp(CO,mod,w,n,&d);
+ mptop(d,rp);
+#else
+ error("not implemented yet");
+#endif
+ }
+}
+
/*
input : a row x col matrix A
A[I] <-> A[I][0]*x_0+A[I][1]*x_1+...
@@ -759,10 +854,10 @@ 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++ )
@@ -796,13 +891,13 @@ 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);
}
@@ -810,7 +905,7 @@ RESET:
} else {
for ( j = 0; (j
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++ )
@@ -989,7 +1087,7 @@ 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;
@@ -1243,7 +1341,7 @@ int md;
ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
ONE_STEP1 ONE_STEP1 ONE_STEP1 ONE_STEP1
}
- for ( ; k >= 0; k-- ) {
+ for ( ; k > 0; k-- ) {
if ( zzz = *s ) { DMAR(zzz,hc,*tj,md,*tj) } tj++; s++;
}
}
@@ -1330,25 +1428,114 @@ int md;
hc = md-hc;
s = redmat[i]+j;
tj = sp+j;
- for ( k = col-j; k >= 0; k-- ) {
+ for ( k = col-j; k > 0; k-- ) {
if ( zzz = *s ) { DMAR(zzz,hc,*tj,md,*tj) } tj++; s++;
}
}
}
}
+/*
+ mat[i] : compressed reducers (i=0,...,nred-1)
+ mat[0] < mat[1] < ... < mat[nred-1] w.r.t the term order
+*/
+
+int red_by_compress(m,p,r,ri,hc,len)
+int m;
+unsigned int *p;
+register unsigned int *r;
+register unsigned int *ri;
+unsigned int hc;
+register int len;
+{
+ unsigned int up,lo;
+ unsigned int dmy;
+ unsigned int *pj;
+
+ p[*ri] = 0; r++; ri++;
+ for ( len--; len; len--, r++, ri++ ) {
+ pj = p+ *ri;
+ DMA(*r,hc,*pj,up,lo);
+ if ( up ) {
+ DSAB(m,up,lo,dmy,*pj);
+ } else
+ *pj = lo;
+ }
+}
+
+/* p -= hc*r */
+
+int red_by_vect(m,p,r,hc,len)
+int m;
+unsigned int *p,*r;
+unsigned int hc;
+int len;
+{
+ register unsigned int up,lo;
+ unsigned int dmy;
+
+ *p++ = 0; r++; len--;
+ for ( ; len; len--, r++, p++ )
+ if ( *r ) {
+ DMA(*r,hc,*p,up,lo);
+ if ( up ) {
+ DSAB(m,up,lo,dmy,*p);
+ } else
+ *p = lo;
+ }
+}
+
+extern unsigned int **psca;
+
+void reduce_sp_by_red_mod_compress (sp,redmat,ind,nred,col,md)
+int *sp;
+CDP *redmat;
+int *ind;
+int nred,col;
+int md;
+{
+ int i,j,k,len;
+ unsigned int *tj;
+ CDP ri;
+ unsigned int hc,up,lo,up1,lo1,c;
+ unsigned int *usp;
+
+ usp = (unsigned int *)sp;
+ /* reduce the spolys by redmat */
+ for ( i = nred-1; i >= 0; i-- ) {
+ /* reduce sp by redmat[i] */
+ usp[ind[i]] %= md;
+ if ( hc = usp[ind[i]] ) {
+ /* sp = sp-hc*redmat[i] */
+ hc = md-hc;
+ ri = redmat[i];
+ len = ri->len;
+ red_by_compress(md,usp,psca[ri->psindex],ri->body,hc,len);
+ }
+ }
+ for ( i = 0; i < col; i++ )
+ if ( usp[i] >= md )
+ usp[i] %= md;
+}
+
#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 generic_gauss_elim_mod(mat0,row,col,md,colstat)
+int **mat0;
int row,col,md;
int *colstat;
{
int i,j,k,l,inv,a,rank,zzz;
- int *t,*pivot,*pk,*tk;
+ unsigned int *t,*pivot,*pk,*tk;
+ unsigned int **mat;
+ mat = (unsigned int **)mat0;
for ( rank = 0, j = 0; j < col; j++ ) {
- for ( i = rank; i < row && !mat[i][j]; i++ );
+ for ( i = rank; i < row; i++ )
+ mat[i][j] %= md;
+ for ( i = rank; i < row; i++ )
+ if ( mat[i][j] )
+ break;
if ( i == row ) {
colstat[j] = 0;
continue;
@@ -1361,35 +1548,14 @@ int *colstat;
inv = invm(pivot[j],md);
for ( k = j, pk = pivot+k; k < col; k++, pk++ )
if ( *pk ) {
+ if ( *pk >= md )
+ *pk %= md;
DMAR(*pk,inv,0,md,*pk)
}
for ( i = rank+1; i < row; i++ ) {
t = mat[i];
- 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++;
- }
- }
+ if ( a = t[j] )
+ red_by_vect(md,t+j,pivot+j,md-a,col-j);
}
rank++;
}
@@ -1398,33 +1564,19 @@ int *colstat;
pivot = mat[l];
for ( i = 0; i < l; i++ ) {
t = mat[i];
- 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++;
- }
- }
+ t[j] %= md;
+ if ( a = t[j] )
+ red_by_vect(md,t+j,pivot+j,md-a,col-j);
}
l--;
+ }
+ for ( j = 0, l = 0; l < rank; j++ )
+ if ( colstat[j] ) {
+ t = mat[l];
+ for ( k = j; k < col; k++ )
+ if ( t[k] >= md )
+ t[k] %= md;
+ l++;
}
return rank;
}