version 1.15, 2001/03/29 09:49:57 |
version 1.23, 2003/05/28 07:32:32 |
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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/engine/dist.c,v 1.14 2001/02/21 07:10:18 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.22 2003/01/04 09:06:17 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
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#define ORD_ELIM 9 |
#define ORD_ELIM 9 |
#define ORD_WEYL_ELIM 10 |
#define ORD_WEYL_ELIM 10 |
#define ORD_HOMO_WW_DRL 11 |
#define ORD_HOMO_WW_DRL 11 |
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#define ORD_DRL_ZIGZAG 12 |
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#define ORD_HOMO_WW_DRL_ZIGZAG 13 |
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int cmpdl_drl_zigzag(), cmpdl_homo_ww_drl_zigzag(); |
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int (*cmpdl)()=cmpdl_revgradlex; |
int (*cmpdl)()=cmpdl_revgradlex; |
int (*primitive_cmpdl[3])() = {cmpdl_revgradlex,cmpdl_gradlex,cmpdl_lex}; |
int (*primitive_cmpdl[3])() = {cmpdl_revgradlex,cmpdl_gradlex,cmpdl_lex}; |
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void comm_muld(VL,DP,DP,DP *); |
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void weyl_muld(VL,DP,DP,DP *); |
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void weyl_muldm(VL,MP,DP,DP *); |
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void weyl_mulmm(VL,MP,MP,int,struct cdl *,int); |
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void comm_muld_tab(VL,int,struct cdl *,int,struct cdl *,int,struct cdl *); |
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void mkwc(int,int,Q *); |
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int cmpdl_weyl_elim(); |
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int cmpdl_homo_ww_drl(); |
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int do_weyl; |
int do_weyl; |
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int dp_nelim,dp_fcoeffs; |
int dp_nelim,dp_fcoeffs; |
struct order_spec dp_current_spec; |
struct order_spec dp_current_spec; |
int *dp_dl_work; |
int *dp_dl_work; |
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int has_fcoef(DP); |
int has_sfcoef(DP f) |
int has_fcoef_p(P); |
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int has_fcoef(f) |
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DP f; |
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{ |
{ |
MP t; |
MP t; |
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if ( !f ) |
if ( !f ) |
return 0; |
return 0; |
for ( t = BDY(f); t; t = NEXT(t) ) |
for ( t = BDY(f); t; t = NEXT(t) ) |
if ( has_fcoef_p(t->c) ) |
if ( has_sfcoef_p(t->c) ) |
break; |
break; |
return t ? 1 : 0; |
return t ? 1 : 0; |
} |
} |
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int has_fcoef_p(f) |
int has_sfcoef_p(P f) |
P f; |
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{ |
{ |
DCP dc; |
DCP dc; |
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if ( !f ) |
if ( !f ) |
return 0; |
return 0; |
else if ( NUM(f) ) |
else if ( NUM(f) ) |
return (NID((Num)f) == N_LM |
return (NID((Num)f) == N_GFS) ? 1 : 0; |
|| NID((Num)f) == N_GF2N |
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|| NID((Num)f) == N_GFPN |
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|| NID((Num)f) == N_GFS) ? 1 : 0; |
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else { |
else { |
for ( dc = DC(f); dc; dc = NEXT(dc) ) |
for ( dc = DC(f); dc; dc = NEXT(dc) ) |
if ( has_fcoef_p(COEF(dc)) ) |
if ( has_sfcoef_p(COEF(dc)) ) |
return 1; |
return 1; |
return 0; |
return 0; |
} |
} |
} |
} |
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void initd(spec) |
void initd(struct order_spec *spec) |
struct order_spec *spec; |
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{ |
{ |
switch ( spec->id ) { |
switch ( spec->id ) { |
case 2: |
case 2: |
Line 153 struct order_spec *spec; |
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Line 137 struct order_spec *spec; |
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cmpdl = cmpdl_weyl_elim; break; |
cmpdl = cmpdl_weyl_elim; break; |
case ORD_HOMO_WW_DRL: |
case ORD_HOMO_WW_DRL: |
cmpdl = cmpdl_homo_ww_drl; break; |
cmpdl = cmpdl_homo_ww_drl; break; |
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case ORD_DRL_ZIGZAG: |
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cmpdl = cmpdl_drl_zigzag; break; |
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case ORD_HOMO_WW_DRL_ZIGZAG: |
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cmpdl = cmpdl_homo_ww_drl_zigzag; break; |
case ORD_LEX: default: |
case ORD_LEX: default: |
cmpdl = cmpdl_lex; break; |
cmpdl = cmpdl_lex; break; |
} |
} |
Line 161 struct order_spec *spec; |
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Line 149 struct order_spec *spec; |
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dp_current_spec = *spec; |
dp_current_spec = *spec; |
} |
} |
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void ptod(vl,dvl,p,pr) |
void ptod(VL vl,VL dvl,P p,DP *pr) |
VL vl,dvl; |
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P p; |
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DP *pr; |
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{ |
{ |
int isconst = 0; |
int isconst = 0; |
int n,i; |
int n,i,j,k; |
VL tvl; |
VL tvl; |
V v; |
V v; |
DL d; |
DL d; |
MP m; |
MP m; |
DCP dc; |
DCP dc; |
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DCP *w; |
DP r,s,t,u; |
DP r,s,t,u; |
P x,c; |
P x,c; |
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for ( i = 0, tvl = dvl, v = VR(p); |
for ( i = 0, tvl = dvl, v = VR(p); |
tvl && tvl->v != v; tvl = NEXT(tvl), i++ ); |
tvl && tvl->v != v; tvl = NEXT(tvl), i++ ); |
if ( !tvl ) { |
if ( !tvl ) { |
for ( dc = DC(p), s = 0, MKV(v,x); dc; dc = NEXT(dc) ) { |
for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ ); |
ptod(vl,dvl,COEF(dc),&t); pwrp(vl,x,DEG(dc),&c); |
w = (DCP *)ALLOCA(k*sizeof(DCP)); |
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for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) |
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w[j] = dc; |
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for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) { |
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ptod(vl,dvl,COEF(w[j]),&t); pwrp(vl,x,DEG(w[j]),&c); |
muldc(vl,t,c,&r); addd(vl,r,s,&t); s = t; |
muldc(vl,t,c,&r); addd(vl,r,s,&t); s = t; |
} |
} |
*pr = s; |
*pr = s; |
} else { |
} else { |
for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) { |
for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ ); |
ptod(vl,dvl,COEF(dc),&t); |
w = (DCP *)ALLOCA(k*sizeof(DCP)); |
NEWDL(d,n); d->td = QTOS(DEG(dc)); d->d[i] = d->td; |
for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) |
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w[j] = dc; |
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for ( j = k-1, s = 0; j >= 0; j-- ) { |
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ptod(vl,dvl,COEF(w[j]),&t); |
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NEWDL(d,n); d->d[i] = QTOS(DEG(w[j])); |
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d->td = MUL_WEIGHT(d->d[i],i); |
NEWMP(m); m->dl = d; C(m) = (P)ONE; NEXT(m) = 0; MKDP(n,m,u); u->sugar = d->td; |
NEWMP(m); m->dl = d; C(m) = (P)ONE; NEXT(m) = 0; MKDP(n,m,u); u->sugar = d->td; |
comm_muld(vl,t,u,&r); addd(vl,r,s,&t); s = t; |
comm_muld(vl,t,u,&r); addd(vl,r,s,&t); s = t; |
} |
} |
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} |
} |
} |
} |
} |
} |
if ( !dp_fcoeffs && has_fcoef(*pr) ) |
#if 0 |
dp_fcoeffs = 1; |
if ( !dp_fcoeffs && has_sfcoef(*pr) ) |
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dp_fcoeffs = N_GFS; |
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#endif |
} |
} |
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void dtop(vl,dvl,p,pr) |
void dtop(VL vl,VL dvl,DP p,P *pr) |
VL vl,dvl; |
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DP p; |
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P *pr; |
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{ |
{ |
int n,i; |
int n,i,j,k; |
DL d; |
DL d; |
MP m; |
MP m; |
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MP *a; |
P r,s,t,u,w; |
P r,s,t,u,w; |
Q q; |
Q q; |
VL tvl; |
VL tvl; |
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if ( !p ) |
if ( !p ) |
*pr = 0; |
*pr = 0; |
else { |
else { |
for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) { |
for ( k = 0, m = BDY(p); m; m = NEXT(m), k++ ); |
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a = (MP *)ALLOCA(k*sizeof(MP)); |
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for ( j = 0, m = BDY(p); j < k; m = NEXT(m), j++ ) |
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a[j] = m; |
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for ( n = p->nv, j = k-1, s = 0; j >= 0; j-- ) { |
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m = a[j]; |
t = C(m); |
t = C(m); |
if ( NUM(t) && NID((Num)t) == N_M ) { |
if ( NUM(t) && NID((Num)t) == N_M ) { |
mptop(t,&u); t = u; |
mptop(t,&u); t = u; |
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} |
} |
} |
} |
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void nodetod(node,dp) |
void nodetod(NODE node,DP *dp) |
NODE node; |
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DP *dp; |
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{ |
{ |
NODE t; |
NODE t; |
int len,i,td; |
int len,i,td; |
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else if ( !NUM(e) || !RATN(e) || !INT(e) ) |
else if ( !NUM(e) || !RATN(e) || !INT(e) ) |
error("nodetod : invalid input"); |
error("nodetod : invalid input"); |
else { |
else { |
d->d[i] = QTOS((Q)e); td += d->d[i]; |
d->d[i] = QTOS((Q)e); td += MUL_WEIGHT(d->d[i],i); |
} |
} |
} |
} |
d->td = td; |
d->td = td; |
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MKDP(len,m,u); u->sugar = td; *dp = u; |
MKDP(len,m,u); u->sugar = td; *dp = u; |
} |
} |
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int sugard(m) |
int sugard(MP m) |
MP m; |
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{ |
{ |
int s; |
int s; |
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return s; |
return s; |
} |
} |
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void addd(vl,p1,p2,pr) |
void addd(VL vl,DP p1,DP p2,DP *pr) |
VL vl; |
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DP p1,p2,*pr; |
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{ |
{ |
int n; |
int n; |
MP m1,m2,mr,mr0; |
MP m1,m2,mr,mr0; |
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/* for F4 symbolic reduction */ |
/* for F4 symbolic reduction */ |
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void symb_addd(p1,p2,pr) |
void symb_addd(DP p1,DP p2,DP *pr) |
DP p1,p2,*pr; |
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{ |
{ |
int n; |
int n; |
MP m1,m2,mr,mr0; |
MP m1,m2,mr,mr0; |
P t; |
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if ( !p1 ) |
if ( !p1 ) |
*pr = p2; |
*pr = p2; |
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* return : a merged list |
* return : a merged list |
*/ |
*/ |
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NODE symb_merge(m1,m2,n) |
NODE symb_merge(NODE m1,NODE m2,int n) |
NODE m1,m2; |
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int n; |
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{ |
{ |
NODE top,prev,cur,m,t; |
NODE top,prev,cur,m,t; |
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} |
} |
} |
} |
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void subd(vl,p1,p2,pr) |
void _adddl(int n,DL d1,DL d2,DL d3) |
VL vl; |
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DP p1,p2,*pr; |
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{ |
{ |
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int i; |
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d3->td = d1->td+d2->td; |
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for ( i = 0; i < n; i++ ) |
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d3->d[i] = d1->d[i]+d2->d[i]; |
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} |
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/* m1 <- m1 U dl*f, destructive */ |
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NODE mul_dllist(DL dl,DP f); |
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NODE symb_mul_merge(NODE m1,DL dl,DP f,int n) |
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{ |
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NODE top,prev,cur,n1; |
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DP g; |
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DL t,s; |
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MP m; |
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if ( !m1 ) |
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return mul_dllist(dl,f); |
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else if ( !f ) |
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return m1; |
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else { |
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m = BDY(f); |
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NEWDL_NOINIT(t,n); |
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_adddl(n,m->dl,dl,t); |
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top = m1; prev = 0; cur = m1; |
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while ( m ) { |
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switch ( (*cmpdl)(n,(DL)BDY(cur),t) ) { |
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case 0: |
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prev = cur; cur = NEXT(cur); |
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if ( !cur ) { |
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MKDP(n,m,g); |
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NEXT(prev) = mul_dllist(dl,g); |
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return; |
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} |
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m = NEXT(m); |
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if ( m ) _adddl(n,m->dl,dl,t); |
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break; |
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case 1: |
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prev = cur; cur = NEXT(cur); |
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if ( !cur ) { |
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MKDP(n,m,g); |
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NEXT(prev) = mul_dllist(dl,g); |
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return; |
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} |
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break; |
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case -1: |
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NEWDL_NOINIT(s,n); |
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s->td = t->td; |
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bcopy(t->d,s->d,n*sizeof(int)); |
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NEWNODE(n1); |
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n1->body = (pointer)s; |
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NEXT(n1) = cur; |
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if ( !prev ) { |
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top = n1; cur = n1; |
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} else { |
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NEXT(prev) = n1; prev = n1; |
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} |
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m = NEXT(m); |
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if ( m ) _adddl(n,m->dl,dl,t); |
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break; |
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} |
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} |
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return top; |
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} |
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} |
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DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n) |
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{ |
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DLBUCKET top,prev,cur,m,t; |
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if ( !m1 ) |
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return m2; |
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else if ( !m2 ) |
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return m1; |
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else { |
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if ( m1->td == m2->td ) { |
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top = m1; |
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BDY(top) = symb_merge(BDY(top),BDY(m2),n); |
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m = NEXT(m2); |
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} else if ( m1->td > m2->td ) { |
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top = m1; m = m2; |
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} else { |
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top = m2; m = m1; |
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} |
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prev = top; cur = NEXT(top); |
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/* prev->td > m->td always holds */ |
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while ( cur && m ) { |
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if ( cur->td == m->td ) { |
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BDY(cur) = symb_merge(BDY(cur),BDY(m),n); |
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m = NEXT(m); |
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prev = cur; cur = NEXT(cur); |
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} else if ( cur->td > m->td ) { |
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t = NEXT(cur); NEXT(cur) = m; m = t; |
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prev = cur; cur = NEXT(cur); |
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} else { |
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NEXT(prev) = m; m = cur; |
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prev = NEXT(prev); cur = NEXT(prev); |
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} |
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} |
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if ( !cur ) |
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NEXT(prev) = m; |
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return top; |
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} |
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} |
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void subd(VL vl,DP p1,DP p2,DP *pr) |
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{ |
DP t; |
DP t; |
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if ( !p2 ) |
if ( !p2 ) |
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} |
} |
} |
} |
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void chsgnd(p,pr) |
void chsgnd(DP p,DP *pr) |
DP p,*pr; |
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{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
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} |
} |
} |
} |
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void muld(vl,p1,p2,pr) |
void muld(VL vl,DP p1,DP p2,DP *pr) |
VL vl; |
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DP p1,p2,*pr; |
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{ |
{ |
if ( ! do_weyl ) |
if ( ! do_weyl ) |
comm_muld(vl,p1,p2,pr); |
comm_muld(vl,p1,p2,pr); |
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weyl_muld(vl,p1,p2,pr); |
weyl_muld(vl,p1,p2,pr); |
} |
} |
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void comm_muld(vl,p1,p2,pr) |
void comm_muld(VL vl,DP p1,DP p2,DP *pr) |
VL vl; |
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DP p1,p2,*pr; |
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{ |
{ |
MP m; |
MP m; |
DP s,t,u; |
DP s,t,u; |
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} |
} |
} |
} |
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void muldm(vl,p,m0,pr) |
void muldm(VL vl,DP p,MP m0,DP *pr) |
VL vl; |
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DP p; |
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MP m0; |
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DP *pr; |
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{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
P c; |
P c; |
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} |
} |
} |
} |
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void weyl_muld(vl,p1,p2,pr) |
void weyl_muld(VL vl,DP p1,DP p2,DP *pr) |
VL vl; |
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DP p1,p2,*pr; |
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{ |
{ |
MP m; |
MP m; |
DP s,t,u; |
DP s,t,u; |
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/* monomial * polynomial */ |
/* monomial * polynomial */ |
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void weyl_muldm(vl,m0,p,pr) |
void weyl_muldm(VL vl,MP m0,DP p,DP *pr) |
VL vl; |
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MP m0; |
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DP p; |
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DP *pr; |
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{ |
{ |
DP r,t,t1; |
DP r,t,t1; |
MP m; |
MP m; |
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/* m0 = x0^d0*x1^d1*... * dx0^e0*dx1^e1*... */ |
/* m0 = x0^d0*x1^d1*... * dx0^e0*dx1^e1*... */ |
/* rtab : array of length (e0+1)*(e1+1)*... */ |
/* rtab : array of length (e0+1)*(e1+1)*... */ |
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void weyl_mulmm(vl,m0,m1,n,rtab,rtablen) |
void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen) |
VL vl; |
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MP m0,m1; |
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int n; |
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struct cdl *rtab; |
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int rtablen; |
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{ |
{ |
MP m,mr,mr0; |
P c,c0,c1; |
DP r,t,t1; |
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P c,c0,c1,cc; |
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DL d,d0,d1,dt; |
DL d,d0,d1,dt; |
int i,j,a,b,k,l,n2,s,min,curlen; |
int i,j,a,b,k,l,n2,s,min,curlen; |
struct cdl *p; |
struct cdl *p; |
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for ( i = 0; i < n2; i++ ) { |
for ( i = 0; i < n2; i++ ) { |
a = d0->d[i]; b = d1->d[n2+i]; |
a = d0->d[i]; b = d1->d[n2+i]; |
k = d0->d[n2+i]; l = d1->d[i]; |
k = d0->d[n2+i]; l = d1->d[i]; |
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/* degree of xi^a*(Di^k*xi^l)*Di^b */ |
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a += l; |
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b += k; |
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s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); |
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if ( !k || !l ) { |
if ( !k || !l ) { |
a += l; |
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b += k; |
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s = a+b; |
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for ( j = 0, p = rtab; j < curlen; j++, p++ ) { |
for ( j = 0, p = rtab; j < curlen; j++, p++ ) { |
if ( p->c ) { |
if ( p->c ) { |
dt = p->d; |
dt = p->d; |
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tab = (struct cdl *)MALLOC(tablen*sizeof(struct cdl)); |
tab = (struct cdl *)MALLOC(tablen*sizeof(struct cdl)); |
ctab = (Q *)MALLOC(tablen*sizeof(Q)); |
ctab = (Q *)MALLOC(tablen*sizeof(Q)); |
} |
} |
/* degree of xi^a*(Di^k*xi^l)*Di^b */ |
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s = a+k+l+b; |
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/* compute xi^a*(Di^k*xi^l)*Di^b */ |
/* compute xi^a*(Di^k*xi^l)*Di^b */ |
min = MIN(k,l); |
min = MIN(k,l); |
mkwc(k,l,ctab); |
mkwc(k,l,ctab); |
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if ( n & 1 ) |
if ( n & 1 ) |
for ( j = 0; j <= min; j++ ) { |
for ( j = 0; j <= min; j++ ) { |
NEWDL(d,n); |
NEWDL(d,n); |
d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
d->d[i] = a-j; d->d[n2+i] = b-j; |
d->td = s; |
d->td = s; |
d->d[n-1] = s-(d->d[i]+d->d[n2+i]); |
d->d[n-1] = s-(MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i)); |
tab[j].d = d; |
tab[j].d = d; |
tab[j].c = (P)ctab[j]; |
tab[j].c = (P)ctab[j]; |
} |
} |
else |
else |
for ( j = 0; j <= min; j++ ) { |
for ( j = 0; j <= min; j++ ) { |
NEWDL(d,n); |
NEWDL(d,n); |
d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
d->d[i] = a-j; d->d[n2+i] = b-j; |
d->td = d->d[i]+d->d[n2+i]; /* XXX */ |
d->td = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i); /* XXX */ |
tab[j].d = d; |
tab[j].d = d; |
tab[j].c = (P)ctab[j]; |
tab[j].c = (P)ctab[j]; |
} |
} |
|
|
] |
] |
*/ |
*/ |
|
|
void comm_muld_tab(vl,nv,t,n,t1,n1,rt) |
void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt) |
VL vl; |
|
int nv; |
|
struct cdl *t; |
|
int n; |
|
struct cdl *t1; |
|
int n1; |
|
struct cdl *rt; |
|
{ |
{ |
int i,j; |
int i,j; |
struct cdl *p; |
struct cdl *p; |
|
|
} |
} |
} |
} |
|
|
void muldc(vl,p,c,pr) |
void muldc(VL vl,DP p,P c,DP *pr) |
VL vl; |
|
DP p; |
|
P c; |
|
DP *pr; |
|
{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
|
|
|
|
} |
} |
} |
} |
|
|
void divsdc(vl,p,c,pr) |
void divsdc(VL vl,DP p,P c,DP *pr) |
VL vl; |
|
DP p; |
|
P c; |
|
DP *pr; |
|
{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
|
|
|
|
} |
} |
} |
} |
|
|
void adddl(n,d1,d2,dr) |
void adddl(int n,DL d1,DL d2,DL *dr) |
int n; |
|
DL d1,d2; |
|
DL *dr; |
|
{ |
{ |
DL dt; |
DL dt; |
int i; |
int i; |
|
|
|
|
/* d1 += d2 */ |
/* d1 += d2 */ |
|
|
void adddl_destructive(n,d1,d2) |
void adddl_destructive(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
DL dt; |
|
int i; |
int i; |
|
|
d1->td += d2->td; |
d1->td += d2->td; |
|
|
d1->d[i] += d2->d[i]; |
d1->d[i] += d2->d[i]; |
} |
} |
|
|
int compd(vl,p1,p2) |
int compd(VL vl,DP p1,DP p2) |
VL vl; |
|
DP p1,p2; |
|
{ |
{ |
int n,t; |
int n,t; |
MP m1,m2; |
MP m1,m2; |
|
|
} |
} |
} |
} |
|
|
int cmpdl_lex(n,d1,d2) |
int cmpdl_lex(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int i; |
int i; |
|
|
|
|
return i == n ? 0 : (d1->d[i] > d2->d[i] ? 1 : -1); |
return i == n ? 0 : (d1->d[i] > d2->d[i] ? 1 : -1); |
} |
} |
|
|
int cmpdl_revlex(n,d1,d2) |
int cmpdl_revlex(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int i; |
int i; |
|
|
|
|
return i < 0 ? 0 : (d1->d[i] < d2->d[i] ? 1 : -1); |
return i < 0 ? 0 : (d1->d[i] < d2->d[i] ? 1 : -1); |
} |
} |
|
|
int cmpdl_gradlex(n,d1,d2) |
int cmpdl_gradlex(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
if ( d1->td > d2->td ) |
if ( d1->td > d2->td ) |
return 1; |
return 1; |
|
|
return cmpdl_lex(n,d1,d2); |
return cmpdl_lex(n,d1,d2); |
} |
} |
|
|
int cmpdl_revgradlex(n,d1,d2) |
int cmpdl_revgradlex(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
register int i; |
register int i; |
register int *p1,*p2; |
register int *p1,*p2; |
|
|
} |
} |
} |
} |
|
|
int cmpdl_blex(n,d1,d2) |
int cmpdl_blex(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int c; |
int c; |
|
|
|
|
} |
} |
} |
} |
|
|
int cmpdl_bgradlex(n,d1,d2) |
int cmpdl_bgradlex(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int e1,e2,c; |
int e1,e2,c; |
|
|
|
|
} |
} |
} |
} |
|
|
int cmpdl_brevgradlex(n,d1,d2) |
int cmpdl_brevgradlex(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int e1,e2,c; |
int e1,e2,c; |
|
|
|
|
} |
} |
} |
} |
|
|
int cmpdl_brevrev(n,d1,d2) |
int cmpdl_brevrev(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int e1,e2,f1,f2,c,i; |
int e1,e2,f1,f2,c,i; |
|
|
|
|
} |
} |
} |
} |
|
|
int cmpdl_bgradrev(n,d1,d2) |
int cmpdl_bgradrev(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int e1,e2,f1,f2,c,i; |
int e1,e2,f1,f2,c,i; |
|
|
|
|
} |
} |
} |
} |
|
|
int cmpdl_blexrev(n,d1,d2) |
int cmpdl_blexrev(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int e1,e2,f1,f2,c,i; |
int e1,e2,f1,f2,c,i; |
|
|
|
|
} |
} |
} |
} |
|
|
int cmpdl_elim(n,d1,d2) |
int cmpdl_elim(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int e1,e2,i; |
int e1,e2,i; |
|
|
|
|
return cmpdl_revgradlex(n,d1,d2); |
return cmpdl_revgradlex(n,d1,d2); |
} |
} |
|
|
int cmpdl_weyl_elim(n,d1,d2) |
int cmpdl_weyl_elim(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int e1,e2,i; |
int e1,e2,i; |
|
|
|
|
3. DRL for the first 2*m variables |
3. DRL for the first 2*m variables |
*/ |
*/ |
|
|
extern int *current_weight_vector; |
extern int *current_weyl_weight_vector; |
|
|
int cmpdl_homo_ww_drl(n,d1,d2) |
int cmpdl_homo_ww_drl(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int e1,e2,m,i; |
int e1,e2,m,i; |
int *p1,*p2; |
int *p1,*p2; |
|
|
return -1; |
return -1; |
|
|
m = n>>1; |
m = n>>1; |
for ( i = 0, e1 = e2 = 0; i < m; i++ ) { |
for ( i = 0, e1 = e2 = 0, p1 = d1->d, p2 = d2->d; i < m; i++ ) { |
e1 += current_weight_vector[i]*(d1->d[m+i] - d1->d[i]); |
e1 += current_weyl_weight_vector[i]*(p1[m+i] - p1[i]); |
e2 += current_weight_vector[i]*(d2->d[m+i] - d2->d[i]); |
e2 += current_weyl_weight_vector[i]*(p2[m+i] - p2[i]); |
} |
} |
if ( e1 > e2 ) |
if ( e1 > e2 ) |
return 1; |
return 1; |
|
|
return i < 0 ? 0 : (*p1 < *p2 ? 1 : -1); |
return i < 0 ? 0 : (*p1 < *p2 ? 1 : -1); |
} |
} |
|
|
int cmpdl_order_pair(n,d1,d2) |
int cmpdl_drl_zigzag(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
|
int i,t,m; |
|
int *p1,*p2; |
|
|
|
if ( d1->td > d2->td ) |
|
return 1; |
|
else if ( d1->td < d2->td ) |
|
return -1; |
|
else { |
|
m = n>>1; |
|
for ( i= m - 1, p1 = d1->d, p2 = d2->d; i >= 0; i-- ) { |
|
if ( t = p1[m+i] - p2[m+i] ) return t > 0 ? -1 : 1; |
|
if ( t = p1[i] - p2[i] ) return t > 0 ? -1 : 1; |
|
} |
|
return 0; |
|
} |
|
} |
|
|
|
int cmpdl_homo_ww_drl_zigzag(int n,DL d1,DL d2) |
|
{ |
|
int e1,e2,m,i,t; |
|
int *p1,*p2; |
|
|
|
if ( d1->td > d2->td ) |
|
return 1; |
|
else if ( d1->td < d2->td ) |
|
return -1; |
|
|
|
m = n>>1; |
|
for ( i = 0, e1 = e2 = 0, p1 = d1->d, p2 = d2->d; i < m; i++ ) { |
|
e1 += current_weyl_weight_vector[i]*(p1[m+i] - p1[i]); |
|
e2 += current_weyl_weight_vector[i]*(p2[m+i] - p2[i]); |
|
} |
|
if ( e1 > e2 ) |
|
return 1; |
|
else if ( e1 < e2 ) |
|
return -1; |
|
|
|
e1 = d1->td - d1->d[n-1]; |
|
e2 = d2->td - d2->d[n-1]; |
|
if ( e1 > e2 ) |
|
return 1; |
|
else if ( e1 < e2 ) |
|
return -1; |
|
|
|
for ( i= m - 1, p1 = d1->d, p2 = d2->d; i >= 0; i-- ) { |
|
if ( t = p1[m+i] - p2[m+i] ) return t > 0 ? -1 : 1; |
|
if ( t = p1[i] - p2[i] ) return t > 0 ? -1 : 1; |
|
} |
|
return 0; |
|
} |
|
|
|
int cmpdl_order_pair(int n,DL d1,DL d2) |
|
{ |
int e1,e2,i,j,l; |
int e1,e2,i,j,l; |
int *t1,*t2; |
int *t1,*t2; |
int len; |
int len,head; |
struct order_pair *pair; |
struct order_pair *pair; |
|
|
len = dp_current_spec.ord.block.length; |
len = dp_current_spec.ord.block.length; |
pair = dp_current_spec.ord.block.order_pair; |
pair = dp_current_spec.ord.block.order_pair; |
|
|
|
head = 0; |
for ( i = 0, t1 = d1->d, t2 = d2->d; i < len; i++ ) { |
for ( i = 0, t1 = d1->d, t2 = d2->d; i < len; i++ ) { |
l = pair[i].length; |
l = pair[i].length; |
switch ( pair[i].order ) { |
switch ( pair[i].order ) { |
case 0: |
case 0: |
for ( j = 0, e1 = e2 = 0; j < l; j++ ) { |
for ( j = 0, e1 = e2 = 0; j < l; j++ ) { |
e1 += t1[j]; e2 += t2[j]; |
e1 += MUL_WEIGHT(t1[j],head+j); |
|
e2 += MUL_WEIGHT(t2[j],head+j); |
} |
} |
if ( e1 > e2 ) |
if ( e1 > e2 ) |
return 1; |
return 1; |
|
|
break; |
break; |
case 1: |
case 1: |
for ( j = 0, e1 = e2 = 0; j < l; j++ ) { |
for ( j = 0, e1 = e2 = 0; j < l; j++ ) { |
e1 += t1[j]; e2 += t2[j]; |
e1 += MUL_WEIGHT(t1[j],head+j); |
|
e2 += MUL_WEIGHT(t2[j],head+j); |
} |
} |
if ( e1 > e2 ) |
if ( e1 > e2 ) |
return 1; |
return 1; |
|
|
default: |
default: |
error("cmpdl_order_pair : invalid order"); break; |
error("cmpdl_order_pair : invalid order"); break; |
} |
} |
t1 += l; t2 += l; |
t1 += l; t2 += l; head += l; |
} |
} |
return 0; |
return 0; |
} |
} |
|
|
int cmpdl_matrix(n,d1,d2) |
int cmpdl_matrix(int n,DL d1,DL d2) |
int n; |
|
DL d1,d2; |
|
{ |
{ |
int *v,*w,*t1,*t2; |
int *v,*w,*t1,*t2; |
int s,i,j,len; |
int s,i,j,len; |