version 1.11, 2002/01/09 07:45:40 |
version 1.12, 2002/01/13 07:11:46 |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/fctr.c,v 1.10 2001/11/19 00:57:10 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/fctr.c,v 1.11 2002/01/09 07:45:40 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
Line 58 void Psfsqfr(),Psfbfctr(),Psfufctr(),Psfmintdeg(); |
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Line 58 void Psfsqfr(),Psfbfctr(),Psfufctr(),Psfmintdeg(); |
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void Pirred_check(), Pnfctr_mod(); |
void Pirred_check(), Pnfctr_mod(); |
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void sfmintdeg(VL vl,P fx,int dy,int c,P *fr); |
void sfmintdeg(VL vl,P fx,int dy,int c,P *fr); |
void create_bmono(P c,V x,int i,V y,int j,P *mono); |
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struct ftab fctr_tab[] = { |
struct ftab fctr_tab[] = { |
{"fctr",Pfctr,-2}, |
{"fctr",Pfctr,-2}, |
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for ( i = 0; i < n; i++ ) |
for ( i = 0; i < n; i++ ) |
umtop(v,r[i],(P *)&BDY(result)[i]); |
umtop(v,r[i],(P *)&BDY(result)[i]); |
*rp = result; |
*rp = result; |
} |
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struct lb { |
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int pos,len; |
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int *r; |
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int *hist; |
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}; |
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static NODE insert_lb(NODE g,struct lb *a) |
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{ |
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NODE prev,cur,n; |
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prev = 0; cur = g; |
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while ( cur ) { |
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if ( a->pos < ((struct lb *)BDY(cur))->pos ) { |
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MKNODE(n,a,cur); |
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if ( !prev ) |
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return n; |
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else { |
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NEXT(prev) = n; |
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return g; |
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} |
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} else { |
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prev = cur; |
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cur = NEXT(cur); |
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} |
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} |
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MKNODE(n,a,0); |
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NEXT(prev) = n; |
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return g; |
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} |
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static void lnf(int *r,int *h,int n,int len,NODE g) |
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{ |
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struct lb *t; |
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int pos,i,j,len1,c; |
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int *r1,*h1; |
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for ( ; g; g = NEXT(g) ) { |
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t = (struct lb *)BDY(g); |
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pos = t->pos; |
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if ( c = r[pos] ) { |
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r1 = t->r; |
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h1 = t->hist; |
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len1 = t->len; |
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for ( i = pos; i < n; i++ ) |
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r[i] = _subsf(r[i],_mulsf(r1[i],c)); |
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for ( i = 0; i < len1; i++ ) |
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h[i] = _subsf(h[i],_mulsf(h1[i],c)); |
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} |
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} |
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for ( i = 0; i < n && !r[i]; i++ ); |
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if ( i < n ) { |
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c = _invsf(r[i]); |
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for ( j = i; j < n; j++ ) |
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r[j] = _mulsf(r[j],c); |
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for ( j = i; j < len; j++ ) |
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h[j] = _mulsf(h[j],c); |
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} |
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} |
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void print_vect(int *r,int len) |
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{ |
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int i; |
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for ( i = 0; i < len; i++ ) |
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if ( r[i] ) printf("(%d %d)",i,IFTOF(r[i])); |
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printf("\n"); |
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} |
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void sfmintdeg(VL vl,P fx,int dy,int c,P *fr) |
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{ |
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V x,y; |
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int dx,dxdy,i,j,k,l,d,len,len0,u,dyk; |
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UP *rx; |
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DCP dc; |
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P t,f,mono,f1; |
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UP ut,h; |
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int ***nf; |
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int *r,*hist,*prev,*r1; |
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struct lb *lb; |
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GFS s; |
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NODE g; |
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x = vl->v; |
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y = NEXT(vl)->v; |
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dx = getdeg(x,fx); |
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dxdy = dx*dy; |
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/* rx = -(fx-x^dx) */ |
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rx = (UP *)CALLOC(dx,sizeof(UP)); |
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for ( dc = DC(fx); dc; dc = NEXT(dc)) { |
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chsgnp(COEF(dc),&t); |
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ptoup(t,&ut); |
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rx[QTOS(DEG(dc))] = ut; |
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} |
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/* nf[d] = normal form table of monomials with total degree d */ |
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nf = (int ***)CALLOC(dx+dy+1,sizeof(int **)); /* xxx */ |
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nf[0] = (int **)CALLOC(1,sizeof(int *)); |
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/* nf[0][0] = 1 */ |
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r = (int *)CALLOC(dxdy,sizeof(int)); |
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r[0] = _onesf(); |
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nf[0][0] = r; |
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hist = (int *)CALLOC(1,sizeof(int)); |
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r[0] = _onesf(); |
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lb = (struct lb *)CALLOC(1,sizeof(struct lb)); |
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lb->pos = 0; |
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lb->r = r; |
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lb->hist = hist; |
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lb->len = 1; |
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/* g : table of normal form as linear form */ |
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MKNODE(g,lb,0); |
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len = 1; |
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h = UPALLOC(dy); |
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for ( d = 1; ; d++ ) { |
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if ( d > c ){ |
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return; |
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} |
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nf[d] = (int **)CALLOC(d+1,sizeof(int *)); |
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len0 = len; |
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len += d+1; |
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for ( i = d; i >= 0; i-- ) { |
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/* nf(x^(d-i)*y^i) = nf(y*nf(x^(d-i)*y^(i-1))) */ |
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/* nf(x^d) = nf(nf(x^(d-1))*x) */ |
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r = (int *)CALLOC(dxdy,sizeof(int)); |
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if ( i == 0 ) { |
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prev = nf[d-1][0]; |
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bcopy(prev,r+dy,(dxdy-dy)*sizeof(int)); |
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/* create the head coeff */ |
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for ( l = 0, k = dxdy-dy; l < dy; l++, k++ ) { |
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if ( prev[k] ) { |
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u = IFTOF(prev[k]); |
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MKGFS(u,s); |
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} else |
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s = 0; |
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COEF(h)[l] = (Num)s; |
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} |
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for ( l = dy-1; l >= 0 && !COEF(h)[l]; l--); |
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DEG(h) = l; |
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for ( k = 0, dyk = 0; k < dx; k++, dyk += dy ) { |
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tmulup(rx[k],h,dy,&ut); |
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if ( ut ) |
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for ( l = 0; l < dy; l++ ) { |
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s = (GFS)COEF(ut)[l]; |
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if ( s ) { |
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u = CONT(s); |
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r[dyk+l] = _addsf(r[dyk+l],FTOIF(u)); |
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} |
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} |
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} |
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} else { |
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prev = nf[d-1][i-1]; |
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for ( k = 0, dyk = 0; k < dx; k++, dyk += dy ) { |
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for ( l = 1; l < dy; l++ ) |
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r[dyk+l] = prev[dyk+l-1]; |
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} |
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} |
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nf[d][i] = r; |
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hist = (int *)CALLOC(len,sizeof(int)); |
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hist[len0+i] = _onesf(); |
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r1 = (int *)CALLOC(dxdy,sizeof(int)); |
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bcopy(r,r1,dxdy*sizeof(int)); |
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lnf(r1,hist,dxdy,len,g); |
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for ( k = 0; k < dxdy && !r1[k]; k++ ); |
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if ( k == dxdy ) { |
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f = 0; |
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for ( k = j = 0; k <= d; k++ ) |
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for ( i = 0; i <= k; i++, j++ ) |
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if ( hist[j] ) { |
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u = IFTOF(hist[j]); |
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MKGFS(u,s); |
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/* mono = s*x^(k-i)*y^i */ |
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create_bmono((P)s,x,k-i,y,i,&mono); |
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addp(vl,f,mono,&f1); |
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f = f1; |
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} |
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*fr = f; |
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return; |
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} else { |
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lb = (struct lb *)CALLOC(1,sizeof(struct lb)); |
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lb->pos = k; |
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lb->r = r1; |
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lb->hist = hist; |
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lb->len = len; |
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g = insert_lb(g,lb); |
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} |
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} |
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} |
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} |
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void create_bmono(P c,V x,int i,V y,int j,P *mono) |
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{ |
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P t,s; |
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if ( !i ) |
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if ( !j ) |
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t = c; |
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else { |
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/* c*y^j */ |
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MKV(y,t); |
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COEF(DC(t)) = c; |
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STOQ(j,DEG(DC(t))); |
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} |
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else if ( !j ) { |
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/* c*x^i */ |
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MKV(x,t); |
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COEF(DC(t)) = c; |
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STOQ(i,DEG(DC(t))); |
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} else { |
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MKV(y,s); |
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COEF(DC(s)) = c; |
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STOQ(j,DEG(DC(s))); |
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MKV(x,t); |
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COEF(DC(t)) = s; |
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STOQ(i,DEG(DC(t))); |
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} |
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*mono = t; |
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} |
} |