| version 1.97, 2004/03/25 01:31:03 |
version 1.146, 2006/11/27 07:31:25 |
|
|
| /* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.96 2004/03/17 08:16:24 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.145 2006/08/26 05:38:06 noro Exp $ */ |
| |
|
| #include "nd.h" |
#include "nd.h" |
| |
|
| |
int diag_period = 6; |
| int (*ndl_compare_function)(UINT *a1,UINT *a2); |
int (*ndl_compare_function)(UINT *a1,UINT *a2); |
| int nd_dcomp; |
int nd_dcomp; |
| NM _nm_free_list; |
NM _nm_free_list; |
| ND _nd_free_list; |
ND _nd_free_list; |
| ND_pairs _ndp_free_list; |
ND_pairs _ndp_free_list; |
| |
|
| |
static NODE nd_subst; |
| |
static VL nd_vc; |
| |
static int nd_ntrans; |
| |
static int nd_nalg; |
| |
#if 0 |
| static int ndv_alloc; |
static int ndv_alloc; |
| |
#endif |
| #if 1 |
#if 1 |
| static int nd_f4_nsp=0x7fffffff; |
static int nd_f4_nsp=0x7fffffff; |
| #else |
#else |
| Line 39 static int nd_found,nd_create,nd_notfirst; |
|
| Line 46 static int nd_found,nd_create,nd_notfirst; |
|
| static int nmv_adv; |
static int nmv_adv; |
| static int nd_demand; |
static int nd_demand; |
| |
|
| |
NumberField get_numberfield(); |
| |
UINT *nd_det_compute_bound(NDV **dm,int n,int j); |
| |
void nd_det_reconstruct(NDV **dm,int n,int j,NDV d); |
| |
int nd_monic(int m,ND *p); |
| |
NDV plain_vect_to_ndv_q(Q *mat,int col,UINT *s0vect); |
| |
|
| void nd_free_private_storage() |
void nd_free_private_storage() |
| { |
{ |
| _nm_free_list = 0; |
_nm_free_list = 0; |
| Line 722 int ndl_disjoint(UINT *d1,UINT *d2) |
|
| Line 735 int ndl_disjoint(UINT *d1,UINT *d2) |
|
| #endif |
#endif |
| } |
} |
| |
|
| int ndl_check_bound2(int index,UINT *d2) |
int ndl_check_bound(UINT *d1,UINT *d2) |
| { |
{ |
| UINT u2; |
UINT u2; |
| UINT *d1; |
|
| int i,j,ind,k; |
int i,j,ind,k; |
| |
|
| d1 = nd_bound[index]; |
|
| ind = 0; |
ind = 0; |
| #if USE_UNROLL |
#if USE_UNROLL |
| switch ( nd_bpe ) { |
switch ( nd_bpe ) { |
| Line 817 int ndl_check_bound2(int index,UINT *d2) |
|
| Line 828 int ndl_check_bound2(int index,UINT *d2) |
|
| #endif |
#endif |
| } |
} |
| |
|
| |
int ndl_check_bound2(int index,UINT *d2) |
| |
{ |
| |
return ndl_check_bound(nd_bound[index],d2); |
| |
} |
| |
|
| INLINE int ndl_hash_value(UINT *d) |
INLINE int ndl_hash_value(UINT *d) |
| { |
{ |
| int i; |
int i; |
| Line 962 ND nd_add(int mod,ND p1,ND p2) |
|
| Line 978 ND nd_add(int mod,ND p1,ND p2) |
|
| int nm_destructive_add_q(NM *m1,NM *m2,NM *mr0,NM *mr) |
int nm_destructive_add_q(NM *m1,NM *m2,NM *mr0,NM *mr) |
| { |
{ |
| NM s; |
NM s; |
| Q t; |
P t; |
| int can; |
int can; |
| |
|
| addq(CQ(*m1),CQ(*m2),&t); |
addp(nd_vc,CP(*m1),CP(*m2),&t); |
| s = *m1; *m1 = NEXT(*m1); |
s = *m1; *m1 = NEXT(*m1); |
| if ( t ) { |
if ( t ) { |
| can = 1; NEXTNM2(*mr0,*mr,s); CQ(*mr) = (t); |
can = 1; NEXTNM2(*mr0,*mr,s); CP(*mr) = (t); |
| } else { |
} else { |
| can = 2; FREENM(s); |
can = 2; FREENM(s); |
| } |
} |
| Line 981 ND nd_add_q(ND p1,ND p2) |
|
| Line 997 ND nd_add_q(ND p1,ND p2) |
|
| int n,c,can; |
int n,c,can; |
| ND r; |
ND r; |
| NM m1,m2,mr0,mr,s; |
NM m1,m2,mr0,mr,s; |
| Q t; |
P t; |
| |
|
| if ( !p1 ) return p2; |
if ( !p1 ) return p2; |
| else if ( !p2 ) return p1; |
else if ( !p2 ) return p1; |
| Line 994 ND nd_add_q(ND p1,ND p2) |
|
| Line 1010 ND nd_add_q(ND p1,ND p2) |
|
| #if defined(__x86_64__) |
#if defined(__x86_64__) |
| can += nm_destructive_add_q(&m1,&m2,&mr0,&mr); |
can += nm_destructive_add_q(&m1,&m2,&mr0,&mr); |
| #else |
#else |
| addq(CQ(m1),CQ(m2),&t); |
addp(nd_vc,CP(m1),CP(m2),&t); |
| s = m1; m1 = NEXT(m1); |
s = m1; m1 = NEXT(m1); |
| if ( t ) { |
if ( t ) { |
| can++; NEXTNM2(mr0,mr,s); CQ(mr) = (t); |
can++; NEXTNM2(mr0,mr,s); CP(mr) = (t); |
| } else { |
} else { |
| can += 2; FREENM(s); |
can += 2; FREENM(s); |
| } |
} |
| Line 1074 ND nd_add_sf(ND p1,ND p2) |
|
| Line 1090 ND nd_add_sf(ND p1,ND p2) |
|
| } |
} |
| } |
} |
| |
|
| |
ND nd_reduce2(int mod,ND d,ND g,NDV p,NM mul,NDC dn) |
| |
{ |
| |
int c,c1,c2; |
| |
Q cg,cred,gcd,tq; |
| |
P cgp,credp,gcdp; |
| |
Obj tr,tr1; |
| |
|
| |
if ( mod == -1 ) |
| |
CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g))); |
| |
else if ( mod ) { |
| |
c1 = invm(HCM(p),mod); c2 = mod-HCM(g); |
| |
DMAR(c1,c2,0,mod,c); CM(mul) = c; |
| |
} else if ( nd_vc ) { |
| |
ezgcdpz(nd_vc,HCP(g),HCP(p),&gcdp); |
| |
divsp(nd_vc,HCP(g),gcdp,&cgp); divsp(nd_vc,HCP(p),gcdp,&credp); |
| |
chsgnp(cgp,&CP(mul)); |
| |
nd_mul_c_q(d,credp); nd_mul_c_q(g,credp); |
| |
if ( dn ) { |
| |
mulr(nd_vc,(Obj)dn->r,(Obj)credp,&tr); |
| |
reductr(nd_vc,tr,&tr1); dn->r = (R)tr1; |
| |
} |
| |
} else { |
| |
igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); |
| |
chsgnq(cg,&CQ(mul)); |
| |
nd_mul_c_q(d,(P)cred); nd_mul_c_q(g,(P)cred); |
| |
if ( dn ) { |
| |
mulq(dn->z,cred,&tq); dn->z = tq; |
| |
} |
| |
} |
| |
return nd_add(mod,g,ndv_mul_nm(mod,mul,p)); |
| |
} |
| |
|
| /* ret=1 : success, ret=0 : overflow */ |
/* ret=1 : success, ret=0 : overflow */ |
| int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp) |
int nd_nf(int mod,ND d,ND g,NDV *ps,int full,NDC dn,ND *rp) |
| { |
{ |
| ND d; |
|
| NM m,mrd,tail; |
NM m,mrd,tail; |
| NM mul; |
NM mul; |
| int n,sugar,psugar,sugar0,stat,index; |
int n,sugar,psugar,sugar0,stat,index; |
| Line 1086 int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp) |
|
| Line 1133 int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp) |
|
| NDV p,red; |
NDV p,red; |
| Q cg,cred,gcd,tq,qq; |
Q cg,cred,gcd,tq,qq; |
| double hmag; |
double hmag; |
| |
P tp,tp1; |
| |
Obj tr,tr1; |
| |
|
| if ( dn ) { |
if ( dn ) { |
| if ( mod ) |
if ( mod ) |
| dn->m = 1; |
dn->m = 1; |
| |
else if ( nd_vc ) |
| |
dn->r = (R)ONE; |
| else |
else |
| dn->z = ONE; |
dn->z = ONE; |
| } |
} |
| if ( !g ) { |
if ( !g ) { |
| *rp = 0; |
*rp = d; |
| return 1; |
return 1; |
| } |
} |
| if ( !mod ) hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; |
if ( !mod ) hmag = ((double)p_mag(HCP(g)))*nd_scale; |
| |
|
| sugar0 = sugar = SG(g); |
sugar0 = sugar = SG(g); |
| n = NV(g); |
n = NV(g); |
| mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); |
mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); |
| for ( d = 0; g; ) { |
if ( d ) |
| |
for ( tail = BDY(d); NEXT(tail); tail = NEXT(tail) ); |
| |
for ( ; g; ) { |
| index = ndl_find_reducer(HDL(g)); |
index = ndl_find_reducer(HDL(g)); |
| if ( index >= 0 ) { |
if ( index >= 0 ) { |
| h = nd_psh[index]; |
h = nd_psh[index]; |
| Line 1111 int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp) |
|
| Line 1164 int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp) |
|
| nd_free(g); nd_free(d); |
nd_free(g); nd_free(d); |
| return 0; |
return 0; |
| } |
} |
| if ( nd_demand ) |
p = nd_demand ? ndv_load(index) : ps[index]; |
| p = ndv_load(index); |
g = nd_reduce2(mod,d,g,p,mul,dn); |
| else |
|
| p = ps[index]; |
|
| if ( mod == -1 ) |
|
| CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g))); |
|
| else if ( mod ) { |
|
| c1 = invm(HCM(p),mod); c2 = mod-HCM(g); |
|
| DMAR(c1,c2,0,mod,c); CM(mul) = c; |
|
| } else { |
|
| igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); |
|
| chsgnq(cg,&CQ(mul)); |
|
| nd_mul_c_q(d,cred); nd_mul_c_q(g,cred); |
|
| if ( dn ) { |
|
| mulq(dn->z,cred,&tq); dn->z = tq; |
|
| } |
|
| } |
|
| g = nd_add(mod,g,ndv_mul_nm(mod,mul,p)); |
|
| sugar = MAX(sugar,SG(p)+TD(DL(mul))); |
sugar = MAX(sugar,SG(p)+TD(DL(mul))); |
| if ( !mod && hmag && g && ((double)(p_mag((P)HCQ(g))) > hmag) ) { |
if ( !mod && g && ((double)(p_mag(HCP(g))) > hmag) ) { |
| tq = HCQ(g); |
tp = HCP(g); |
| nd_removecont2(d,g); |
nd_removecont2(d,g); |
| if ( dn ) { |
if ( dn ) { |
| divq(tq,HCQ(g),&qq); divq(dn->z,qq,&tq); dn->z = tq; |
if ( nd_vc ) { |
| |
divsp(nd_vc,tp,HCP(g),&tp1); |
| |
divr(nd_vc,(Obj)dn->r,(Obj)tp1,&tr); |
| |
reductr(nd_vc,(Obj)tr,&tr1); dn->r = (R)tr1; |
| |
} else { |
| |
divq((Q)tp,HCQ(g),&qq); |
| |
divq(dn->z,qq,&tq); dn->z = tq; |
| |
} |
| } |
} |
| hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; |
hmag = ((double)p_mag(HCP(g)))*nd_scale; |
| } |
} |
| } else if ( !full ) { |
} else if ( !full ) { |
| *rp = g; |
*rp = g; |
| Line 1217 int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp |
|
| Line 1261 int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp |
|
| } else { |
} else { |
| igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); |
igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); |
| chsgnq(cg,&CQ(mul)); |
chsgnq(cg,&CQ(mul)); |
| nd_mul_c_q(d,cred); |
nd_mul_c_q(d,(P)cred); |
| mulq_pbucket(bucket,cred); |
mulq_pbucket(bucket,cred); |
| g = bucket->body[hindex]; |
g = bucket->body[hindex]; |
| gmag = (double)p_mag((P)HCQ(g)); |
gmag = (double)p_mag((P)HCQ(g)); |
| Line 1272 int ndv_check_candidate(NODE input,int obpe,int oadv,E |
|
| Line 1316 int ndv_check_candidate(NODE input,int obpe,int oadv,E |
|
| NODE t,s; |
NODE t,s; |
| union oNDC dn; |
union oNDC dn; |
| |
|
| ndv_setup(0,0,cand); |
ndv_setup(0,0,cand,0); |
| n = length(cand); |
n = length(cand); |
| |
|
| /* membercheck : list is a subset of Id(cand) ? */ |
/* membercheck : list is a subset of Id(cand) ? */ |
|
|
| else |
else |
| r = (NDV)BDY(t); |
r = (NDV)BDY(t); |
| d = ndvtond(0,r); |
d = ndvtond(0,r); |
| stat = nd_nf(0,d,nd_ps,0,0,&nf); |
stat = nd_nf(0,0,d,nd_ps,0,0,&nf); |
| if ( !stat ) { |
if ( !stat ) { |
| nd_reconstruct(0,0,0); |
nd_reconstruct(0,0); |
| goto again; |
goto again; |
| } else if ( nf ) return 0; |
} else if ( nf ) return 0; |
| if ( DP_Print ) { printf("."); fflush(stdout); } |
if ( DP_Print ) { printf("."); fflush(stdout); } |
| Line 1390 void mulq_pbucket(PGeoBucket g,Q c) |
|
| Line 1434 void mulq_pbucket(PGeoBucket g,Q c) |
|
| int k; |
int k; |
| |
|
| for ( k = 0; k <= g->m; k++ ) |
for ( k = 0; k <= g->m; k++ ) |
| nd_mul_c_q(g->body[k],c); |
nd_mul_c_q(g->body[k],(P)c); |
| } |
} |
| |
|
| NM remove_head_pbucket_symbolic(PGeoBucket g) |
NM remove_head_pbucket_symbolic(PGeoBucket g) |
| Line 1525 ND normalize_pbucket(int mod,PGeoBucket g) |
|
| Line 1569 ND normalize_pbucket(int mod,PGeoBucket g) |
|
| return r; |
return r; |
| } |
} |
| |
|
| void do_diagonalize(int sugar,int m) |
int do_diagonalize(int sugar,int m) |
| { |
{ |
| int i,nh,stat; |
int i,nh,stat; |
| NODE r,g,t; |
NODE r,g,t; |
| ND h,nf,s,head; |
ND h,nf,s,head; |
| NDV nfv; |
NDV nfv; |
| Q q,num,den; |
Q q,num,den; |
| union oNDC dn; |
P nm,nmp,dn,mnp,dnp; |
| |
|
| for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { |
for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { |
| if ( nd_demand ) |
if ( nd_demand ) |
| Line 1541 void do_diagonalize(int sugar,int m) |
|
| Line 1585 void do_diagonalize(int sugar,int m) |
|
| nfv = nd_ps[i]; |
nfv = nd_ps[i]; |
| s = ndvtond(m,nfv); |
s = ndvtond(m,nfv); |
| s = nd_separate_head(s,&head); |
s = nd_separate_head(s,&head); |
| nd_nf(m,s,nd_ps,1,&dn,&nf); |
stat = nd_nf(m,head,s,nd_ps,1,0,&nf); |
| if ( !m ) { |
if ( !stat ) return 0; |
| NTOQ(NM(dn.z),SGN(dn.z),num); |
|
| mulq(HCQ(head),num,&q); HCQ(head) = q; |
|
| if ( DN(dn.z) ) { |
|
| NTOQ(DN(dn.z),1,den); |
|
| nd_mul_c_q(nf,den); |
|
| } |
|
| } |
|
| nf = nd_add(m,head,nf); |
|
| ndv_free(nfv); |
ndv_free(nfv); |
| nd_removecont(m,nf); |
nd_removecont(m,nf); |
| nfv = ndtondv(m,nf); |
nfv = ndtondv(m,nf); |
| Line 1562 void do_diagonalize(int sugar,int m) |
|
| Line 1598 void do_diagonalize(int sugar,int m) |
|
| } else |
} else |
| nd_ps[i] = nfv; |
nd_ps[i] = nfv; |
| } |
} |
| |
return 1; |
| } |
} |
| |
|
| /* return value = 0 => input is not a GB */ |
/* return value = 0 => input is not a GB */ |
| Line 1572 NODE nd_gb(int m,int ishomo,int checkonly) |
|
| Line 1609 NODE nd_gb(int m,int ishomo,int checkonly) |
|
| NODE r,g,t; |
NODE r,g,t; |
| ND_pairs d; |
ND_pairs d; |
| ND_pairs l; |
ND_pairs l; |
| ND h,nf,s,head; |
ND h,nf,s,head,nf1; |
| NDV nfv; |
NDV nfv; |
| Q q,num,den; |
Q q,num,den; |
| union oNDC dn; |
union oNDC dn; |
| |
int diag_count = 0; |
| |
|
| g = 0; d = 0; |
g = 0; d = 0; |
| for ( i = 0; i < nd_psn; i++ ) { |
for ( i = 0; i < nd_psn; i++ ) { |
| Line 1587 NODE nd_gb(int m,int ishomo,int checkonly) |
|
| Line 1625 NODE nd_gb(int m,int ishomo,int checkonly) |
|
| again: |
again: |
| l = nd_minp(d,&d); |
l = nd_minp(d,&d); |
| if ( SG(l) != sugar ) { |
if ( SG(l) != sugar ) { |
| if ( ishomo ) do_diagonalize(sugar,m); |
if ( ishomo ) { |
| |
diag_count = 0; |
| |
stat = do_diagonalize(sugar,m); |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(0,d); |
| |
goto again; |
| |
} |
| |
} |
| sugar = SG(l); |
sugar = SG(l); |
| if ( DP_Print ) fprintf(asir_out,"%d",sugar); |
if ( DP_Print ) fprintf(asir_out,"%d",sugar); |
| } |
} |
| stat = nd_sp(m,0,l,&h); |
stat = nd_sp(m,0,l,&h); |
| if ( !stat ) { |
if ( !stat ) { |
| NEXT(l) = d; d = l; |
NEXT(l) = d; d = l; |
| d = nd_reconstruct(m,0,d); |
d = nd_reconstruct(0,d); |
| goto again; |
goto again; |
| } |
} |
| #if USE_GEOBUCKET |
#if USE_GEOBUCKET |
| stat = m?nd_nf_pbucket(m,h,nd_ps,!Top,&nf):nd_nf(m,h,nd_ps,!Top,0,&nf); |
stat = m?nd_nf_pbucket(m,h,nd_ps,!Top,&nf):nd_nf(m,0,h,nd_ps,!Top,0,&nf); |
| #else |
#else |
| stat = nd_nf(m,h,nd_ps,!Top,0,&nf); |
stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf); |
| #endif |
#endif |
| if ( !stat ) { |
if ( !stat ) { |
| NEXT(l) = d; d = l; |
NEXT(l) = d; d = l; |
| d = nd_reconstruct(m,0,d); |
d = nd_reconstruct(0,d); |
| goto again; |
goto again; |
| } else if ( nf ) { |
} else if ( nf ) { |
| if ( checkonly ) return 0; |
if ( checkonly ) return 0; |
| if ( DP_Print ) { printf("+"); fflush(stdout); } |
if ( DP_Print ) { printf("+"); fflush(stdout); } |
| nd_removecont(m,nf); |
nd_removecont(m,nf); |
| |
if ( !m && nd_nalg ) { |
| |
nd_monic(0,&nf); |
| |
nd_removecont(m,nf); |
| |
} |
| nfv = ndtondv(m,nf); nd_free(nf); |
nfv = ndtondv(m,nf); nd_free(nf); |
| nh = ndv_newps(m,nfv,0); |
nh = ndv_newps(m,nfv,0); |
| |
if ( !m && (ishomo && ++diag_count == diag_period) ) { |
| |
diag_count = 0; |
| |
stat = do_diagonalize(sugar,m); |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
goto again; |
| |
} |
| |
} |
| d = update_pairs(d,g,nh); |
d = update_pairs(d,g,nh); |
| g = update_base(g,nh); |
g = update_base(g,nh); |
| FREENDP(l); |
FREENDP(l); |
|
|
| return g; |
return g; |
| } |
} |
| |
|
| void do_diagonalize_trace(int sugar,int m) |
int do_diagonalize_trace(int sugar,int m) |
| { |
{ |
| int i,nh,stat; |
int i,nh,stat; |
| NODE r,g,t; |
NODE r,g,t; |
| ND h,nf,nfq,s,head; |
ND h,nf,nfq,s,head; |
| NDV nfv,nfqv; |
NDV nfv,nfqv; |
| Q q,den,num; |
Q q,den,num; |
| union oNDC dn; |
|
| |
|
| for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { |
for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { |
| /* for nd_ps */ |
/* for nd_ps */ |
| s = ndvtond(m,nd_ps[i]); |
s = ndvtond(m,nd_ps[i]); |
| s = nd_separate_head(s,&head); |
s = nd_separate_head(s,&head); |
| nd_nf_pbucket(m,s,nd_ps,1,&nf); |
stat = nd_nf_pbucket(m,s,nd_ps,1,&nf); |
| |
if ( !stat ) return 0; |
| nf = nd_add(m,head,nf); |
nf = nd_add(m,head,nf); |
| ndv_free(nd_ps[i]); |
ndv_free(nd_ps[i]); |
| nd_ps[i] = ndtondv(m,nf); |
nd_ps[i] = ndtondv(m,nf); |
| Line 1656 void do_diagonalize_trace(int sugar,int m) |
|
| Line 1714 void do_diagonalize_trace(int sugar,int m) |
|
| nfv = nd_ps_trace[i]; |
nfv = nd_ps_trace[i]; |
| s = ndvtond(0,nfv); |
s = ndvtond(0,nfv); |
| s = nd_separate_head(s,&head); |
s = nd_separate_head(s,&head); |
| nd_nf(0,s,nd_ps_trace,1,&dn,&nf); |
stat = nd_nf(0,head,s,nd_ps_trace,1,0,&nf); |
| NTOQ(NM(dn.z),SGN(dn.z),num); |
if ( !stat ) return 0; |
| mulq(HCQ(head),num,&q); HCQ(head) = q; |
|
| if ( DN(dn.z) ) { |
|
| NTOQ(DN(dn.z),1,den); |
|
| nd_mul_c_q(nf,den); |
|
| } |
|
| nf = nd_add(0,head,nf); |
|
| ndv_free(nfv); |
ndv_free(nfv); |
| nd_removecont(0,nf); |
nd_removecont(0,nf); |
| nfv = ndtondv(0,nf); |
nfv = ndtondv(0,nf); |
| Line 1675 void do_diagonalize_trace(int sugar,int m) |
|
| Line 1727 void do_diagonalize_trace(int sugar,int m) |
|
| } else |
} else |
| nd_ps_trace[i] = nfv; |
nd_ps_trace[i] = nfv; |
| } |
} |
| |
return 1; |
| } |
} |
| |
|
| |
static struct oEGT eg_invdalg; |
| |
struct oEGT eg_le; |
| |
|
| NODE nd_gb_trace(int m,int ishomo) |
NODE nd_gb_trace(int m,int ishomo) |
| { |
{ |
| int i,nh,sugar,stat; |
int i,nh,sugar,stat; |
| Line 1687 NODE nd_gb_trace(int m,int ishomo) |
|
| Line 1743 NODE nd_gb_trace(int m,int ishomo) |
|
| NDV nfv,nfqv; |
NDV nfv,nfqv; |
| Q q,den,num; |
Q q,den,num; |
| union oNDC dn; |
union oNDC dn; |
| |
struct oEGT eg_monic,egm0,egm1; |
| |
int diag_count = 0; |
| |
|
| |
init_eg(&eg_monic); |
| |
init_eg(&eg_invdalg); |
| |
init_eg(&eg_le); |
| g = 0; d = 0; |
g = 0; d = 0; |
| for ( i = 0; i < nd_psn; i++ ) { |
for ( i = 0; i < nd_psn; i++ ) { |
| d = update_pairs(d,g,i); |
d = update_pairs(d,g,i); |
| Line 1698 NODE nd_gb_trace(int m,int ishomo) |
|
| Line 1759 NODE nd_gb_trace(int m,int ishomo) |
|
| again: |
again: |
| l = nd_minp(d,&d); |
l = nd_minp(d,&d); |
| if ( SG(l) != sugar ) { |
if ( SG(l) != sugar ) { |
| if ( ishomo ) do_diagonalize_trace(sugar,m); |
#if 1 |
| |
if ( ishomo ) { |
| |
stat = do_diagonalize_trace(sugar,m); |
| |
diag_count = 0; |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
goto again; |
| |
} |
| |
} |
| |
#endif |
| sugar = SG(l); |
sugar = SG(l); |
| if ( DP_Print ) fprintf(asir_out,"%d",sugar); |
if ( DP_Print ) fprintf(asir_out,"%d",sugar); |
| } |
} |
| stat = nd_sp(m,0,l,&h); |
stat = nd_sp(m,0,l,&h); |
| if ( !stat ) { |
if ( !stat ) { |
| NEXT(l) = d; d = l; |
NEXT(l) = d; d = l; |
| d = nd_reconstruct(m,1,d); |
d = nd_reconstruct(1,d); |
| goto again; |
goto again; |
| } |
} |
| #if USE_GEOBUCKET |
#if USE_GEOBUCKET |
| stat = nd_nf_pbucket(m,h,nd_ps,!Top,&nf); |
stat = nd_nf_pbucket(m,h,nd_ps,!Top,&nf); |
| #else |
#else |
| stat = nd_nf(m,h,nd_ps,!Top,0,&nf); |
stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf); |
| #endif |
#endif |
| if ( !stat ) { |
if ( !stat ) { |
| NEXT(l) = d; d = l; |
NEXT(l) = d; d = l; |
| d = nd_reconstruct(m,1,d); |
d = nd_reconstruct(1,d); |
| goto again; |
goto again; |
| } else if ( nf ) { |
} else if ( nf ) { |
| if ( nd_demand ) { |
if ( nd_demand ) { |
|
|
| } else |
} else |
| nfq = 0; |
nfq = 0; |
| if ( !nfq ) { |
if ( !nfq ) { |
| if ( !nd_sp(0,1,l,&h) || !nd_nf(0,h,nd_ps_trace,!Top,0,&nfq) ) { |
if ( !nd_sp(0,1,l,&h) || !nd_nf(0,0,h,nd_ps_trace,!Top,0,&nfq) ) { |
| NEXT(l) = d; d = l; |
NEXT(l) = d; d = l; |
| d = nd_reconstruct(m,1,d); |
d = nd_reconstruct(1,d); |
| goto again; |
goto again; |
| } |
} |
| } |
} |
|
|
| if ( !rem(NM(HCQ(nfq)),m) ) return 0; |
if ( !rem(NM(HCQ(nfq)),m) ) return 0; |
| |
|
| if ( DP_Print ) { printf("+"); fflush(stdout); } |
if ( DP_Print ) { printf("+"); fflush(stdout); } |
| nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf); |
if ( nd_nalg ) { |
| nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq); |
/* m|DN(HC(nf)^(-1)) => failure */ |
| |
get_eg(&egm0); |
| |
if ( !nd_monic(m,&nfq) ) return 0; |
| |
get_eg(&egm1); add_eg(&eg_monic,&egm0,&egm1); |
| |
nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq); |
| |
nfv = ndv_dup(0,nfqv); ndv_mod(m,nfv); nd_free(nf); |
| |
} else { |
| |
nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq); |
| |
nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf); |
| |
} |
| nh = ndv_newps(0,nfv,nfqv); |
nh = ndv_newps(0,nfv,nfqv); |
| |
if ( ishomo && ++diag_count == diag_period ) { |
| |
diag_count = 0; |
| |
stat = do_diagonalize_trace(sugar,m); |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
goto again; |
| |
} |
| |
} |
| d = update_pairs(d,g,nh); |
d = update_pairs(d,g,nh); |
| g = update_base(g,nh); |
g = update_base(g,nh); |
| } else { |
} else { |
|
|
| else |
else |
| for ( t = g; t; t = NEXT(t) ) |
for ( t = g; t; t = NEXT(t) ) |
| BDY(t) = (pointer)nd_ps_trace[(int)BDY(t)]; |
BDY(t) = (pointer)nd_ps_trace[(int)BDY(t)]; |
| |
if ( nd_nalg ) { |
| |
print_eg("monic",&eg_monic); |
| |
print_eg("invdalg",&eg_invdalg); |
| |
print_eg("le",&eg_le); |
| |
} |
| return g; |
return g; |
| } |
} |
| |
|
| Line 1784 NODE ndv_reduceall(int m,NODE f) |
|
| Line 1878 NODE ndv_reduceall(int m,NODE f) |
|
| (int (*)(const void *,const void *))ndv_compare); |
(int (*)(const void *,const void *))ndv_compare); |
| for ( t = f, i = 0; t; i++, t = NEXT(t) ) BDY(t) = (pointer)w[i]; |
for ( t = f, i = 0; t; i++, t = NEXT(t) ) BDY(t) = (pointer)w[i]; |
| #endif |
#endif |
| ndv_setup(m,0,f); |
ndv_setup(m,0,f,0); |
| for ( i = 0; i < n; ) { |
for ( i = 0; i < n; ) { |
| g = ndvtond(m,nd_ps[i]); |
g = ndvtond(m,nd_ps[i]); |
| g = nd_separate_head(g,&head); |
g = nd_separate_head(g,&head); |
| stat = nd_nf(m,g,nd_ps,1,&dn,&nf); |
stat = nd_nf(m,head,g,nd_ps,1,0,&nf); |
| if ( !stat ) |
if ( !stat ) |
| nd_reconstruct(m,0,0); |
nd_reconstruct(0,0); |
| else { |
else { |
| if ( DP_Print ) { printf("."); fflush(stdout); } |
if ( DP_Print ) { printf("."); fflush(stdout); } |
| if ( !m ) { |
|
| NTOQ(NM(dn.z),SGN(dn.z),num); |
|
| mulq(HCQ(head),num,&q); HCQ(head) = q; |
|
| if ( DN(dn.z) ) { |
|
| NTOQ(DN(dn.z),1,den); |
|
| nd_mul_c_q(nf,den); |
|
| } |
|
| } |
|
| nf = nd_add(m,head,nf); |
|
| ndv_free(nd_ps[i]); |
ndv_free(nd_ps[i]); |
| nd_removecont(m,nf); |
nd_removecont(m,nf); |
| nd_ps[i] = ndtondv(m,nf); nd_free(nf); |
nd_ps[i] = ndtondv(m,nf); nd_free(nf); |
| Line 2124 int ndv_newps(int m,NDV a,NDV aq) |
|
| Line 2209 int ndv_newps(int m,NDV a,NDV aq) |
|
| return nd_psn++; |
return nd_psn++; |
| } |
} |
| |
|
| void ndv_setup(int mod,int trace,NODE f) |
void ndv_setup(int mod,int trace,NODE f,int dont_sort) |
| { |
{ |
| int i,j,td,len,max; |
int i,j,td,len,max; |
| NODE s,s0,f0; |
NODE s,s0,f0; |
| Line 2138 void ndv_setup(int mod,int trace,NODE f) |
|
| Line 2223 void ndv_setup(int mod,int trace,NODE f) |
|
| for ( nd_psn = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) nd_psn++; |
for ( nd_psn = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) nd_psn++; |
| w = (NDV *)ALLOCA(nd_psn*sizeof(NDV)); |
w = (NDV *)ALLOCA(nd_psn*sizeof(NDV)); |
| for ( i = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) w[i++] = BDY(s); |
for ( i = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) w[i++] = BDY(s); |
| qsort(w,nd_psn,sizeof(NDV), |
if ( !dont_sort ) { |
| (int (*)(const void *,const void *))ndv_compare); |
/* XXX heuristic */ |
| |
if ( !nd_ord->id && (nd_ord->ord.simple<2) ) |
| |
qsort(w,nd_psn,sizeof(NDV), |
| |
(int (*)(const void *,const void *))ndv_compare_rev); |
| |
else |
| |
qsort(w,nd_psn,sizeof(NDV), |
| |
(int (*)(const void *,const void *))ndv_compare); |
| |
} |
| nd_pslen = 2*nd_psn; |
nd_pslen = 2*nd_psn; |
| nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
| nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
| nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist)); |
nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist)); |
| nd_bound = (UINT **)MALLOC(nd_pslen*sizeof(UINT *)); |
nd_bound = (UINT **)MALLOC(nd_pslen*sizeof(UINT *)); |
| |
|
| |
if ( trace && nd_vc ) |
| |
makesubst(nd_vc,&nd_subst); |
| |
else |
| |
nd_subst = 0; |
| |
|
| if ( !nd_red ) |
if ( !nd_red ) |
| nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist)); |
nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist)); |
| for ( i = 0; i < REDTAB_LEN; i++ ) nd_red[i] = 0; |
for ( i = 0; i < REDTAB_LEN; i++ ) nd_red[i] = 0; |
| Line 2175 void ndv_setup(int mod,int trace,NODE f) |
|
| Line 2272 void ndv_setup(int mod,int trace,NODE f) |
|
| } |
} |
| } |
} |
| |
|
| |
struct order_spec *append_block(struct order_spec *spec, |
| |
int nv,int nalg,int ord); |
| |
|
| |
extern VECT current_dl_weight_vector_obj; |
| |
static VECT prev_weight_vector_obj; |
| |
|
| |
void preprocess_algcoef(VL vv,VL av,struct order_spec *ord,LIST f, |
| |
struct order_spec **ord1p,LIST *f1p,NODE *alistp) |
| |
{ |
| |
NODE alist,t,s,r0,r,arg; |
| |
VL tv; |
| |
P poly; |
| |
DP d; |
| |
Alg alpha,dp; |
| |
DAlg inv,da,hc; |
| |
MP m; |
| |
int i,nvar,nalg,n; |
| |
NumberField nf; |
| |
LIST f1,f2; |
| |
struct order_spec *current_spec; |
| |
VECT obj,obj0; |
| |
Obj tmp; |
| |
|
| |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++); |
| |
for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++); |
| |
|
| |
for ( alist = 0, tv = av; tv; tv = NEXT(tv) ) { |
| |
NEXTNODE(alist,t); MKV(tv->v,poly); |
| |
MKAlg(poly,alpha); BDY(t) = (pointer)alpha; |
| |
tv->v = tv->v->priv; |
| |
} |
| |
NEXT(t) = 0; |
| |
|
| |
/* simplification, makeing polynomials monic */ |
| |
setfield_dalg(alist); |
| |
obj_algtodalg(f,&f1); |
| |
for ( t = BDY(f); t; t = NEXT(t) ) { |
| |
initd(ord); ptod(vv,vv,(P)BDY(t),&d); |
| |
hc = (DAlg)BDY(d)->c; |
| |
if ( NID(hc) == N_DA ) { |
| |
invdalg(hc,&inv); |
| |
for ( m = BDY(d); m; m = NEXT(m) ) { |
| |
muldalg(inv,(DAlg)m->c,&da); m->c = (P)da; |
| |
} |
| |
} |
| |
initd(ord); dtop(vv,vv,d,&poly); BDY(f) = (pointer)poly; |
| |
} |
| |
obj_dalgtoalg(f1,&f); |
| |
|
| |
/* append alg vars to the var list */ |
| |
for ( tv = vv; NEXT(tv); tv = NEXT(tv) ); |
| |
NEXT(tv) = av; |
| |
|
| |
/* append a block to ord */ |
| |
*ord1p = append_block(ord,nvar,nalg,2); |
| |
|
| |
/* create generator list */ |
| |
nf = get_numberfield(); |
| |
for ( i = nalg-1, t = BDY(f); i >= 0; i-- ) { |
| |
MKAlg(nf->defpoly[i],dp); |
| |
MKNODE(s,dp,t); t = s; |
| |
} |
| |
MKLIST(f1,t); |
| |
*alistp = alist; |
| |
algobjtorat(f1,f1p); |
| |
|
| |
/* creating a new weight vector */ |
| |
prev_weight_vector_obj = obj0 = current_dl_weight_vector_obj; |
| |
n = nvar+nalg+1; |
| |
MKVECT(obj,n); |
| |
if ( obj0 && obj0->len == nvar ) |
| |
for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = BDY(obj0)[i]; |
| |
else |
| |
for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = (pointer)ONE; |
| |
for ( i = 0; i < nalg; i++ ) BDY(obj)[i+nvar] = 0; |
| |
BDY(obj)[n-1] = (pointer)ONE; |
| |
arg = mknode(1,obj); |
| |
Pdp_set_weight(arg,&tmp); |
| |
} |
| |
|
| |
NODE postprocess_algcoef(VL av,NODE alist,NODE r) |
| |
{ |
| |
NODE s,t,u0,u; |
| |
P p; |
| |
VL tv; |
| |
Obj obj,tmp; |
| |
NODE arg; |
| |
|
| |
u0 = 0; |
| |
for ( t = r; t; t = NEXT(t) ) { |
| |
p = (P)BDY(t); |
| |
for ( tv = av, s = alist; tv; tv = NEXT(tv), s = NEXT(s) ) { |
| |
substr(CO,0,(Obj)p,tv->v,(Obj)BDY(s),&obj); p = (P)obj; |
| |
} |
| |
if ( OID(p) == O_P || (OID(p) == O_N && NID((Num)p) != N_A) ) { |
| |
NEXTNODE(u0,u); |
| |
BDY(u) = (pointer)p; |
| |
} |
| |
} |
| |
arg = mknode(1,prev_weight_vector_obj); |
| |
Pdp_set_weight(arg,&tmp); |
| |
|
| |
return u0; |
| |
} |
| |
|
| void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp) |
void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp) |
| { |
{ |
| VL tv,fv,vv,vc; |
VL tv,fv,vv,vc,av; |
| NODE fd,fd0,r,r0,t,x,s,xx; |
NODE fd,fd0,r,r0,t,x,s,xx,alist; |
| int e,max,nvar; |
int e,max,nvar,i; |
| NDV b; |
NDV b; |
| int ishomo; |
int ishomo,nalg; |
| |
Alg alpha,dp; |
| |
P p,zp; |
| |
Q dmy; |
| |
LIST f1,f2; |
| |
Obj obj; |
| |
NumberField nf; |
| |
struct order_spec *ord1; |
| |
|
| if ( !m && Demand ) nd_demand = 1; |
if ( !m && Demand ) nd_demand = 1; |
| else nd_demand = 0; |
else nd_demand = 0; |
| |
|
| |
#if 0 |
| ndv_alloc = 0; |
ndv_alloc = 0; |
| get_vars((Obj)f,&fv); pltovl(v,&vv); |
#endif |
| |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| switch ( ord->id ) { |
switch ( ord->id ) { |
| case 1: |
case 1: |
| Line 2197 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
| Line 2408 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
| default: |
default: |
| break; |
break; |
| } |
} |
| |
nd_nalg = 0; |
| |
av = 0; |
| |
if ( !m ) { |
| |
get_algtree((Obj)f,&av); |
| |
for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ ); |
| |
nd_ntrans = nvar; |
| |
nd_nalg = nalg; |
| |
/* #i -> t#i */ |
| |
if ( nalg ) { |
| |
preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist); |
| |
ord = ord1; |
| |
f = f1; |
| |
} |
| |
nvar += nalg; |
| |
} |
| nd_init_ord(ord); |
nd_init_ord(ord); |
| for ( t = BDY(f), max = 0; t; t = NEXT(t) ) |
for ( t = BDY(f), max = 0; t; t = NEXT(t) ) |
| for ( tv = vv; tv; tv = NEXT(tv) ) { |
for ( tv = vv; tv; tv = NEXT(tv) ) { |
| Line 2206 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
| Line 2432 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
| nd_setup_parameters(nvar,max); |
nd_setup_parameters(nvar,max); |
| ishomo = 1; |
ishomo = 1; |
| for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
| b = (pointer)ptondv(CO,vv,(P)BDY(t)); |
ptozp((P)BDY(t),1,&dmy,&zp); |
| |
b = (pointer)ptondv(CO,vv,zp); |
| if ( ishomo ) |
if ( ishomo ) |
| ishomo = ishomo && ndv_ishomo(b); |
ishomo = ishomo && ndv_ishomo(b); |
| if ( m ) ndv_mod(m,b); |
if ( m ) ndv_mod(m,b); |
| if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } |
if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } |
| } |
} |
| if ( fd0 ) NEXT(fd) = 0; |
if ( fd0 ) NEXT(fd) = 0; |
| ndv_setup(m,0,fd0); |
ndv_setup(m,0,fd0,0); |
| x = f4?nd_f4(m):nd_gb(m,ishomo,0); |
x = f4?nd_f4(m):nd_gb(m,ishomo,0); |
| nd_demand = 0; |
nd_demand = 0; |
| x = ndv_reducebase(x); |
x = ndv_reducebase(x); |
| Line 2223 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
| Line 2450 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
| BDY(r) = ndvtop(m,CO,vv,BDY(t)); |
BDY(r) = ndvtop(m,CO,vv,BDY(t)); |
| } |
} |
| if ( r0 ) NEXT(r) = 0; |
if ( r0 ) NEXT(r) = 0; |
| |
if ( nalg ) |
| |
r0 = postprocess_algcoef(av,alist,r0); |
| MKLIST(*rp,r0); |
MKLIST(*rp,r0); |
| |
#if 0 |
| fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc); |
fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc); |
| |
#endif |
| } |
} |
| |
|
| void nd_gr_trace(LIST f,LIST v,int trace,int homo,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) |
| { |
{ |
| |
VL tv,fv,vv,vc,av; |
| |
NODE fd,fd0,r,r0,t,x,s,xx,alist; |
| |
int e,max,nvar,i; |
| |
NDV b; |
| |
int ishomo,nalg; |
| |
Alg alpha,dp; |
| |
P p,zp; |
| |
Q dmy; |
| |
LIST f1,f2; |
| |
Obj obj; |
| |
NumberField nf; |
| struct order_spec *ord1; |
struct order_spec *ord1; |
| VL tv,fv,vv,vc; |
|
| NODE fd,fd0,in0,in,r,r0,t,s,cand; |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| |
switch ( ord->id ) { |
| |
case 1: |
| |
if ( ord->nv != nvar ) |
| |
error("nd_check : invalid order specification"); |
| |
break; |
| |
default: |
| |
break; |
| |
} |
| |
nd_nalg = 0; |
| |
av = 0; |
| |
if ( !m ) { |
| |
get_algtree((Obj)f,&av); |
| |
for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ ); |
| |
nd_ntrans = nvar; |
| |
nd_nalg = nalg; |
| |
/* #i -> t#i */ |
| |
if ( nalg ) { |
| |
preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist); |
| |
ord = ord1; |
| |
f = f1; |
| |
} |
| |
nvar += nalg; |
| |
} |
| |
nd_init_ord(ord); |
| |
for ( t = BDY(f), max = 0; t; t = NEXT(t) ) |
| |
for ( tv = vv; tv; tv = NEXT(tv) ) { |
| |
e = getdeg(tv->v,(P)BDY(t)); |
| |
max = MAX(e,max); |
| |
} |
| |
nd_setup_parameters(nvar,max); |
| |
ishomo = 1; |
| |
for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
| |
ptozp((P)BDY(t),1,&dmy,&zp); |
| |
b = (pointer)ptondv(CO,vv,zp); |
| |
if ( ishomo ) |
| |
ishomo = ishomo && ndv_ishomo(b); |
| |
if ( m ) ndv_mod(m,b); |
| |
if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } |
| |
} |
| |
if ( fd0 ) NEXT(fd) = 0; |
| |
ndv_setup(m,0,fd0,0); |
| |
for ( x = 0, i = 0; i < nd_psn; i++ ) |
| |
x = update_base(x,i); |
| |
if ( do_check ) { |
| |
x = nd_gb(m,ishomo,1); |
| |
if ( !x ) { |
| |
*rp = 0; |
| |
return; |
| |
} |
| |
} else { |
| |
for ( t = x; t; t = NEXT(t) ) |
| |
BDY(t) = (pointer)nd_ps[(int)BDY(t)]; |
| |
} |
| |
x = ndv_reducebase(x); |
| |
x = ndv_reduceall(m,x); |
| |
for ( r0 = 0, t = x; t; t = NEXT(t) ) { |
| |
NEXTNODE(r0,r); |
| |
BDY(r) = ndvtop(m,CO,vv,BDY(t)); |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
if ( nalg ) |
| |
r0 = postprocess_algcoef(av,alist,r0); |
| |
MKLIST(*rp,r0); |
| |
} |
| |
|
| |
void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp) |
| |
{ |
| |
VL tv,fv,vv,vc,av; |
| |
NODE fd,fd0,in0,in,r,r0,t,s,cand,alist; |
| int m,nocheck,nvar,mindex,e,max; |
int m,nocheck,nvar,mindex,e,max; |
| NDV c; |
NDV c; |
| NMV a; |
NMV a; |
| P p; |
P p,zp; |
| |
Q dmy; |
| EPOS oepos; |
EPOS oepos; |
| int obpe,oadv,wmax,i,len,cbpe,ishomo; |
int obpe,oadv,wmax,i,len,cbpe,ishomo,nalg; |
| |
Alg alpha,dp; |
| |
P poly; |
| |
LIST f1,f2; |
| |
Obj obj; |
| |
NumberField nf; |
| |
struct order_spec *ord1; |
| |
struct oEGT eg_check,eg0,eg1; |
| |
|
| get_vars((Obj)f,&fv); pltovl(v,&vv); |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| switch ( ord->id ) { |
switch ( ord->id ) { |
| case 1: |
case 1: |
| Line 2249 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| Line 2569 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| default: |
default: |
| break; |
break; |
| } |
} |
| |
|
| |
get_algtree((Obj)f,&av); |
| |
for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ ); |
| |
nd_ntrans = nvar; |
| |
nd_nalg = nalg; |
| |
/* #i -> t#i */ |
| |
if ( nalg ) { |
| |
preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist); |
| |
ord = ord1; |
| |
f = f1; |
| |
} |
| |
nvar += nalg; |
| |
|
| nocheck = 0; |
nocheck = 0; |
| mindex = 0; |
mindex = 0; |
| |
|
| Line 2271 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| Line 2604 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; |
obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; |
| ishomo = 1; |
ishomo = 1; |
| for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
| c = ptondv(CO,vv,(P)BDY(t)); |
ptozp((P)BDY(t),1,&dmy,&zp); |
| |
c = (pointer)ptondv(CO,vv,zp); |
| if ( ishomo ) |
if ( ishomo ) |
| ishomo = ishomo && ndv_ishomo(c); |
ishomo = ishomo && ndv_ishomo(c); |
| if ( c ) { |
if ( c ) { |
| Line 2282 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| Line 2616 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| if ( in0 ) NEXT(in) = 0; |
if ( in0 ) NEXT(in) = 0; |
| if ( fd0 ) NEXT(fd) = 0; |
if ( fd0 ) NEXT(fd) = 0; |
| if ( !ishomo && homo ) { |
if ( !ishomo && homo ) { |
| for ( t = in0, wmax = 0; t; t = NEXT(t) ) { |
for ( t = in0, wmax = max; t; t = NEXT(t) ) { |
| c = (NDV)BDY(t); len = LEN(c); |
c = (NDV)BDY(t); len = LEN(c); |
| for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) ) |
for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) ) |
| wmax = MAX(TD(DL(a)),wmax); |
wmax = MAX(TD(DL(a)),wmax); |
| Line 2296 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| Line 2630 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| while ( 1 ) { |
while ( 1 ) { |
| if ( Demand ) |
if ( Demand ) |
| nd_demand = 1; |
nd_demand = 1; |
| ndv_setup(m,1,fd0); |
ndv_setup(m,1,fd0,0); |
| cand = nd_gb_trace(m,ishomo || homo); |
cand = f4?nd_f4_trace(m):nd_gb_trace(m,ishomo || homo); |
| if ( !cand ) { |
if ( !cand ) { |
| /* failure */ |
/* failure */ |
| if ( trace > 1 ) { *rp = 0; return; } |
if ( trace > 1 ) { *rp = 0; return; } |
| Line 2316 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| Line 2650 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| cbpe = nd_bpe; |
cbpe = nd_bpe; |
| if ( nocheck ) |
if ( nocheck ) |
| break; |
break; |
| |
get_eg(&eg0); |
| if ( ndv_check_candidate(in0,obpe,oadv,oepos,cand) ) |
if ( ndv_check_candidate(in0,obpe,oadv,oepos,cand) ) |
| /* success */ |
/* success */ |
| break; |
break; |
| Line 2335 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| Line 2670 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
| } |
} |
| } |
} |
| } |
} |
| |
get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1); |
| |
if ( DP_Print ) |
| |
fprintf(asir_out,"check=%fsec\n",eg_check.exectime+eg_check.gctime); |
| /* dp->p */ |
/* dp->p */ |
| nd_bpe = cbpe; |
nd_bpe = cbpe; |
| nd_setup_parameters(nd_nvar,0); |
nd_setup_parameters(nd_nvar,0); |
| for ( r = cand; r; r = NEXT(r) ) BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r)); |
for ( r = cand; r; r = NEXT(r) ) |
| |
BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r)); |
| |
if ( nalg ) |
| |
cand = postprocess_algcoef(av,alist,cand); |
| MKLIST(*rp,cand); |
MKLIST(*rp,cand); |
| } |
} |
| |
|
| Line 2468 void nd_removecont(int mod,ND p) |
|
| Line 2809 void nd_removecont(int mod,ND p) |
|
| v.len = n; |
v.len = n; |
| v.body = (pointer *)w; |
v.body = (pointer *)w; |
| for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = CQ(m); |
for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = CQ(m); |
| removecont_array(w,n); |
removecont_array((P *)w,n); |
| for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) CQ(m) = w[i]; |
for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) CQ(m) = w[i]; |
| } |
} |
| } |
} |
| Line 2495 void nd_removecont2(ND p1,ND p2) |
|
| Line 2836 void nd_removecont2(ND p1,ND p2) |
|
| v.body = (pointer *)w; |
v.body = (pointer *)w; |
| for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) w[i] = CQ(m); |
for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) w[i] = CQ(m); |
| for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CQ(m); |
for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CQ(m); |
| removecont_array(w,n); |
removecont_array((P *)w,n); |
| for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) CQ(m) = w[i]; |
for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) CQ(m) = w[i]; |
| for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CQ(m) = w[i]; |
for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CQ(m) = w[i]; |
| } |
} |
| |
|
| void ndv_removecont(int mod,NDV p) |
void ndv_removecont(int mod,NDV p) |
| { |
{ |
| int i,len; |
int i,len,all_p; |
| Q *w; |
Q *c; |
| |
P *w; |
| Q dvr,t; |
Q dvr,t; |
| |
P g,cont,tp; |
| NMV m; |
NMV m; |
| |
|
| if ( mod == -1 ) |
if ( mod == -1 ) |
| Line 2513 void ndv_removecont(int mod,NDV p) |
|
| Line 2856 void ndv_removecont(int mod,NDV p) |
|
| ndv_mul_c(mod,p,invm(HCM(p),mod)); |
ndv_mul_c(mod,p,invm(HCM(p),mod)); |
| else { |
else { |
| len = p->len; |
len = p->len; |
| w = (Q *)ALLOCA(len*sizeof(Q)); |
w = (P *)ALLOCA(len*sizeof(P)); |
| for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) w[i] = CQ(m); |
c = (Q *)ALLOCA(len*sizeof(Q)); |
| sortbynm(w,len); |
for ( m = BDY(p), all_p = 1, i = 0; i < len; NMV_ADV(m), i++ ) { |
| qltozl(w,len,&dvr); |
ptozp(CP(m),1,&c[i],&w[i]); |
| for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) { |
all_p = all_p && !NUM(w[i]); |
| divq(CQ(m),dvr,&t); CQ(m) = t; |
|
| } |
} |
| |
if ( all_p ) { |
| |
qltozl(c,len,&dvr); heu_nezgcdnpz(nd_vc,w,len,&g); |
| |
mulp(nd_vc,(P)dvr,g,&cont); |
| |
for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) { |
| |
divsp(nd_vc,CP(m),cont,&tp); CP(m) = tp; |
| |
} |
| |
} else { |
| |
sortbynm((Q *)c,len); |
| |
qltozl((Q *)c,len,&dvr); |
| |
for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) { |
| |
divsp(nd_vc,CP(m),(P)dvr,&tp); CP(m) = tp; |
| |
} |
| |
} |
| } |
} |
| } |
} |
| |
|
| Line 2569 void ndv_dehomogenize(NDV p,struct order_spec *ord) |
|
| Line 2924 void ndv_dehomogenize(NDV p,struct order_spec *ord) |
|
| NV(p)--; |
NV(p)--; |
| } |
} |
| |
|
| void removecont_array(Q *c,int n) |
void removecont_array(P *p,int n) |
| { |
{ |
| |
int all_p,all_q,i; |
| |
Q *c; |
| |
P *w; |
| |
P t,s; |
| |
|
| |
for ( all_q = 1, i = 0; i < n; i++ ) |
| |
all_q = all_q && NUM(p[i]); |
| |
if ( all_q ) { |
| |
removecont_array_q((Q *)p,n); |
| |
} else { |
| |
c = (Q *)ALLOCA(n*sizeof(Q)); |
| |
w = (P *)ALLOCA(n*sizeof(P)); |
| |
for ( i = 0; i < n; i++ ) { |
| |
ptozp(p[i],1,&c[i],&w[i]); |
| |
} |
| |
removecont_array_q(c,n); |
| |
heu_nezgcdnpz(nd_vc,w,n,&t); |
| |
for ( i = 0; i < n; i++ ) { |
| |
divsp(nd_vc,w[i],t,&s); mulp(nd_vc,s,(P)c[i],&p[i]); |
| |
} |
| |
} |
| |
} |
| |
|
| |
void removecont_array_q(Q *c,int n) |
| |
{ |
| struct oVECT v; |
struct oVECT v; |
| Q d0,d1,a,u,u1,gcd; |
Q d0,d1,a,u,u1,gcd; |
| int i; |
int i,j; |
| N qn,rn,gn; |
N qn,rn,gn; |
| Q *q,*r; |
Q *q,*r; |
| |
|
| Line 2610 void nd_mul_c(int mod,ND p,int mul) |
|
| Line 2990 void nd_mul_c(int mod,ND p,int mul) |
|
| int c,c1; |
int c,c1; |
| |
|
| if ( !p ) return; |
if ( !p ) return; |
| |
if ( mul == 1 ) return; |
| if ( mod == -1 ) |
if ( mod == -1 ) |
| for ( m = BDY(p); m; m = NEXT(m) ) |
for ( m = BDY(p); m; m = NEXT(m) ) |
| CM(m) = _mulsf(CM(m),mul); |
CM(m) = _mulsf(CM(m),mul); |
| Line 2619 void nd_mul_c(int mod,ND p,int mul) |
|
| Line 3000 void nd_mul_c(int mod,ND p,int mul) |
|
| } |
} |
| } |
} |
| |
|
| void nd_mul_c_q(ND p,Q mul) |
void nd_mul_c_q(ND p,P mul) |
| { |
{ |
| NM m; |
NM m; |
| Q c; |
P c; |
| |
|
| if ( !p ) return; |
if ( !p ) return; |
| |
if ( UNIQ(mul) ) return; |
| for ( m = BDY(p); m; m = NEXT(m) ) { |
for ( m = BDY(p); m; m = NEXT(m) ) { |
| mulq(CQ(m),mul,&c); CQ(m) = c; |
mulp(nd_vc,CP(m),mul,&c); CP(m) = c; |
| } |
} |
| } |
} |
| |
|
| Line 2702 UINT *ndv_compute_bound(NDV p) |
|
| Line 3084 UINT *ndv_compute_bound(NDV p) |
|
| return t; |
return t; |
| } |
} |
| |
|
| |
UINT *nd_compute_bound(ND p) |
| |
{ |
| |
UINT *d1,*d2,*t; |
| |
UINT u; |
| |
int i,j,k,l,len,ind; |
| |
NM m; |
| |
|
| |
if ( !p ) |
| |
return 0; |
| |
d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
| |
d2 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
| |
len = LEN(p); |
| |
m = BDY(p); ndl_copy(DL(m),d1); m = NEXT(m); |
| |
for ( m = NEXT(m); m; m = NEXT(m) ) { |
| |
ndl_lcm(DL(m),d1,d2); |
| |
t = d1; d1 = d2; d2 = t; |
| |
} |
| |
l = nd_nvar+31; |
| |
t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT)); |
| |
for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) { |
| |
u = d1[i]; |
| |
k = (nd_epw-1)*nd_bpe; |
| |
for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ ) |
| |
t[ind] = (u>>k)&nd_mask0; |
| |
} |
| |
for ( ; ind < l; ind++ ) t[ind] = 0; |
| |
return t; |
| |
} |
| |
|
| int nd_get_exporigin(struct order_spec *ord) |
int nd_get_exporigin(struct order_spec *ord) |
| { |
{ |
| switch ( ord->id ) { |
switch ( ord->id ) { |
| Line 2760 void nd_setup_parameters(int nvar,int max) { |
|
| Line 3171 void nd_setup_parameters(int nvar,int max) { |
|
| nd_work_vector = (int *)REALLOC(nd_work_vector,nd_nvar*sizeof(int)); |
nd_work_vector = (int *)REALLOC(nd_work_vector,nd_nvar*sizeof(int)); |
| } |
} |
| |
|
| ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d) |
ND_pairs nd_reconstruct(int trace,ND_pairs d) |
| { |
{ |
| int i,obpe,oadv,h; |
int i,obpe,oadv,h; |
| static NM prev_nm_free_list; |
static NM prev_nm_free_list; |
| Line 2911 int nd_sp(int mod,int trace,ND_pairs p,ND *rp) |
|
| Line 3322 int nd_sp(int mod,int trace,ND_pairs p,ND *rp) |
|
| t1 = ndv_mul_nm(mod,m,p1); |
t1 = ndv_mul_nm(mod,m,p1); |
| if ( mod == -1 ) CM(m) = _chsgnsf(HCM(p1)); |
if ( mod == -1 ) CM(m) = _chsgnsf(HCM(p1)); |
| else if ( mod ) CM(m) = mod-HCM(p1); |
else if ( mod ) CM(m) = mod-HCM(p1); |
| else chsgnq(HCQ(p1),&CQ(m)); |
else chsgnp(HCP(p1),&CP(m)); |
| ndl_sub(lcm,HDL(p2),DL(m)); |
ndl_sub(lcm,HDL(p2),DL(m)); |
| if ( ndl_check_bound2(p->i2,DL(m)) ) { |
if ( ndl_check_bound2(p->i2,DL(m)) ) { |
| nd_free(t1); |
nd_free(t1); |
| Line 3121 ND ndv_mul_nm(int mod,NM m0,NDV p) |
|
| Line 3532 ND ndv_mul_nm(int mod,NM m0,NDV p) |
|
| NMV m; |
NMV m; |
| UINT *d,*dt,*dm; |
UINT *d,*dt,*dm; |
| int c,n,td,i,c1,c2,len; |
int c,n,td,i,c1,c2,len; |
| Q q; |
P q; |
| ND r; |
ND r; |
| |
|
| if ( !p ) return 0; |
if ( !p ) return 0; |
| Line 3153 ND ndv_mul_nm(int mod,NM m0,NDV p) |
|
| Line 3564 ND ndv_mul_nm(int mod,NM m0,NDV p) |
|
| ndl_add(DL(m),d,DL(mr)); |
ndl_add(DL(m),d,DL(mr)); |
| } |
} |
| } else { |
} else { |
| q = CQ(m0); |
q = CP(m0); |
| for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
| NEXTNM(mr0,mr); |
NEXTNM(mr0,mr); |
| mulq(CQ(m),q,&CQ(mr)); |
mulp(nd_vc,CP(m),q,&CP(mr)); |
| ndl_add(DL(m),d,DL(mr)); |
ndl_add(DL(m),d,DL(mr)); |
| } |
} |
| } |
} |
| Line 3167 ND ndv_mul_nm(int mod,NM m0,NDV p) |
|
| Line 3578 ND ndv_mul_nm(int mod,NM m0,NDV p) |
|
| } |
} |
| } |
} |
| |
|
| |
ND nd_quo(int mod,PGeoBucket bucket,NDV d) |
| |
{ |
| |
NM mq0,mq; |
| |
NMV tm; |
| |
Q q; |
| |
int i,nv,sg,c,c1,c2,hindex; |
| |
ND p,t,r; |
| |
N tnm; |
| |
|
| |
if ( bucket->m < 0 ) return 0; |
| |
else { |
| |
nv = NV(d); |
| |
mq0 = 0; |
| |
tm = (NMV)ALLOCA(nmv_adv); |
| |
while ( 1 ) { |
| |
hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket); |
| |
if ( hindex < 0 ) break; |
| |
p = bucket->body[hindex]; |
| |
NEXTNM(mq0,mq); |
| |
ndl_sub(HDL(p),HDL(d),DL(mq)); |
| |
ndl_copy(DL(mq),DL(tm)); |
| |
if ( mod ) { |
| |
c1 = invm(HCM(d),mod); c2 = HCM(p); |
| |
DMAR(c1,c2,0,mod,c); CM(mq) = c; |
| |
CM(tm) = mod-c; |
| |
} else { |
| |
divsn(NM(HCQ(p)),NM(HCQ(d)),&tnm); |
| |
NTOQ(tnm,SGN(HCQ(p))*SGN(HCQ(d)),CQ(mq)); |
| |
chsgnq(CQ(mq),&CQ(tm)); |
| |
} |
| |
t = ndv_mul_nmv_trunc(mod,tm,d,HDL(d)); |
| |
bucket->body[hindex] = nd_remove_head(p); |
| |
t = nd_remove_head(t); |
| |
add_pbucket(mod,bucket,t); |
| |
} |
| |
if ( !mq0 ) |
| |
r = 0; |
| |
else { |
| |
NEXT(mq) = 0; |
| |
for ( i = 0, mq = mq0; mq; mq = NEXT(mq), i++ ); |
| |
MKND(nv,mq0,i,r); |
| |
/* XXX */ |
| |
SG(r) = HTD(r); |
| |
} |
| |
return r; |
| |
} |
| |
} |
| |
|
| void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos) |
void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos) |
| { |
{ |
| NMV m,mr,mr0,t; |
NMV m,mr,mr0,t; |
| Line 3249 ND nd_dup(ND p) |
|
| Line 3708 ND nd_dup(ND p) |
|
| void ndv_mod(int mod,NDV p) |
void ndv_mod(int mod,NDV p) |
| { |
{ |
| NMV t,d; |
NMV t,d; |
| int r; |
int r,s,u; |
| int i,len,dlen; |
int i,len,dlen; |
| |
Q c; |
| |
P cp,cp1; |
| |
NODE tn; |
| Obj gfs; |
Obj gfs; |
| |
|
| if ( !p ) return; |
if ( !p ) return; |
| Line 3267 void ndv_mod(int mod,NDV p) |
|
| Line 3729 void ndv_mod(int mod,NDV p) |
|
| } |
} |
| else |
else |
| for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { |
for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { |
| r = rem(NM(CQ(t)),mod); |
if ( nd_vc ) { |
| |
for ( tn = nd_subst, cp = CP(t); tn; tn = NEXT(NEXT(tn)) ) { |
| |
substp(nd_vc,cp,BDY(tn),BDY(NEXT(tn)),&cp1); cp = cp1; |
| |
} |
| |
c = (Q)cp; |
| |
} else |
| |
c = CQ(t); |
| |
r = rem(NM(c),mod); |
| if ( r ) { |
if ( r ) { |
| if ( SGN(CQ(t)) < 0 ) |
if ( SGN(c) < 0 ) |
| r = mod-r; |
r = mod-r; |
| |
if ( DN(c) ) { |
| |
s = rem(DN(c),mod); |
| |
if ( !s ) |
| |
error("ndv_mod : division by 0"); |
| |
s = invm(s,mod); |
| |
DMAR(r,s,0,mod,u); r = u; |
| |
} |
| CM(d) = r; |
CM(d) = r; |
| ndl_copy(DL(t),DL(d)); |
ndl_copy(DL(t),DL(d)); |
| NMV_ADV(d); |
NMV_ADV(d); |
| Line 3316 ND ptond(VL vl,VL dvl,P p) |
|
| Line 3792 ND ptond(VL vl,VL dvl,P p) |
|
| w = (DCP *)ALLOCA(k*sizeof(DCP)); |
w = (DCP *)ALLOCA(k*sizeof(DCP)); |
| for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) w[j] = dc; |
for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) w[j] = dc; |
| for ( i = 0, tvl = dvl, v = VR(p); |
for ( i = 0, tvl = dvl, v = VR(p); |
| vl && tvl->v != v; tvl = NEXT(tvl), i++ ); |
tvl && tvl->v != v; tvl = NEXT(tvl), i++ ); |
| if ( !tvl ) { |
if ( !tvl ) { |
| for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) { |
for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) { |
| t = ptond(vl,dvl,COEF(w[j])); |
t = ptond(vl,dvl,COEF(w[j])); |
| Line 3389 NDV ndtondv(int mod,ND p) |
|
| Line 3865 NDV ndtondv(int mod,ND p) |
|
| m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(len*nmv_adv); |
m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(len*nmv_adv); |
| else |
else |
| m0 = m = MALLOC(len*nmv_adv); |
m0 = m = MALLOC(len*nmv_adv); |
| |
#if 0 |
| ndv_alloc += nmv_adv*len; |
ndv_alloc += nmv_adv*len; |
| |
#endif |
| for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) { |
for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) { |
| ndl_copy(DL(t),DL(m)); |
ndl_copy(DL(t),DL(m)); |
| CQ(m) = CQ(t); |
CQ(m) = CQ(t); |
| Line 3623 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
| Line 4101 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
| VL vv,tv; |
VL vv,tv; |
| int stat,nvar,max,e; |
int stat,nvar,max,e; |
| union oNDC dn; |
union oNDC dn; |
| |
Q cont; |
| |
P pp; |
| |
|
| |
if ( !f ) { |
| |
*rp = 0; |
| |
return; |
| |
} |
| pltovl(v,&vv); |
pltovl(v,&vv); |
| for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| |
|
| Line 3644 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
| Line 4128 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
| /* conversion to ndv */ |
/* conversion to ndv */ |
| for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) { |
for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) { |
| NEXTNODE(in0,in); |
NEXTNODE(in0,in); |
| BDY(in) = (pointer)ptondv(CO,vv,(P)BDY(t)); |
ptozp((P)BDY(t),1,&cont,&pp); |
| |
BDY(in) = (pointer)ptondv(CO,vv,pp); |
| if ( m ) ndv_mod(m,(NDV)BDY(in)); |
if ( m ) ndv_mod(m,(NDV)BDY(in)); |
| } |
} |
| NEXTNODE(in0,in); |
NEXTNODE(in0,in); |
| Line 3652 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
| Line 4137 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
| if ( m ) ndv_mod(m,(NDV)BDY(in)); |
if ( m ) ndv_mod(m,(NDV)BDY(in)); |
| NEXT(in) = 0; |
NEXT(in) = 0; |
| |
|
| ndv_setup(m,0,in0); |
/* dont sort */ |
| |
ndv_setup(m,0,in0,1); |
| nd_psn--; |
nd_psn--; |
| nd_scale=2; |
nd_scale=2; |
| while ( 1 ) { |
while ( 1 ) { |
| nd = (pointer)ndvtond(m,nd_ps[nd_psn]); |
nd = (pointer)ndvtond(m,nd_ps[nd_psn]); |
| stat = nd_nf(m,nd,nd_ps,1,0,&nf); |
stat = nd_nf(m,0,nd,nd_ps,1,0,&nf); |
| if ( !stat ) { |
if ( !stat ) { |
| nd_psn++; |
nd_psn++; |
| nd_reconstruct(m,0,0); |
nd_reconstruct(0,0); |
| nd_psn--; |
nd_psn--; |
| } else |
} else |
| break; |
break; |
| Line 3684 int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r) |
|
| Line 4170 int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r) |
|
| return i; |
return i; |
| } |
} |
| |
|
| int ndv_to_vect(int mod,UINT *s0,int n,NDV d,UINT *r) |
int nd_to_vect_q(UINT *s0,int n,ND d,Q *r) |
| { |
{ |
| NMV m; |
NM m; |
| UINT *t,*s; |
UINT *t,*s; |
| int i,j,len; |
int i; |
| |
|
| for ( i = 0; i < n; i++ ) r[i] = 0; |
for ( i = 0; i < n; i++ ) r[i] = 0; |
| m = BDY(d); |
for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) { |
| len = LEN(d); |
|
| for ( i = j = 0, s = s0; j < len; j++, NMV_ADV(m)) { |
|
| t = DL(m); |
t = DL(m); |
| for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
| r[i] = CM(m); |
r[i] = CQ(m); |
| } |
} |
| for ( i = 0; !r[i]; i++ ); |
for ( i = 0; !r[i]; i++ ); |
| return i; |
return i; |
| } |
} |
| |
|
| int nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair,UINT *r) |
Q *nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair) |
| { |
{ |
| NM m; |
NM m; |
| NMV mr; |
NMV mr; |
| UINT *d,*t,*s; |
UINT *d,*t,*s; |
| NDV p; |
NDV p; |
| int i,j,len; |
int i,j,len; |
| |
Q *r; |
| |
|
| m = pair->mul; |
m = pair->mul; |
| d = DL(m); |
d = DL(m); |
| p = nd_ps[pair->index]; |
p = nd_ps[pair->index]; |
| t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
|
| for ( i = 0; i < n; i++ ) r[i] = 0; |
|
| len = LEN(p); |
len = LEN(p); |
| |
r = (Q *)CALLOC(n,sizeof(Q)); |
| |
t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
| for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) { |
for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) { |
| ndl_add(d,DL(mr),t); |
ndl_add(d,DL(mr),t); |
| for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
| r[i] = CM(mr); |
r[i] = CQ(mr); |
| } |
} |
| for ( i = 0; !r[i]; i++ ); |
return r; |
| return i; |
|
| } |
} |
| |
|
| IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0,int n,NM_ind_pair pair) |
IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0,int n,NM_ind_pair pair) |
| Line 3773 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
|
| Line 4257 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
|
| return r; |
return r; |
| } |
} |
| |
|
| |
int compress_array(Q *svect,Q *cvect,int n) |
| |
{ |
| |
int i,j; |
| |
|
| |
for ( i = j = 0; i < n; i++ ) |
| |
if ( svect[i] ) cvect[j++] = svect[i]; |
| |
return j; |
| |
} |
| |
|
| |
void expand_array(Q *svect,Q *cvect,int n) |
| |
{ |
| |
int i,j; |
| |
|
| |
for ( i = j = 0; j < n; i++ ) |
| |
if ( svect[i] ) svect[i] = cvect[j++]; |
| |
} |
| |
|
| |
int ndv_reduce_vect_q(Q *svect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
| |
{ |
| |
int i,j,k,len,pos,prev,nz; |
| |
Q cs,mcs,c1,c2,cr,gcd,t; |
| |
IndArray ivect; |
| |
unsigned char *ivc; |
| |
unsigned short *ivs; |
| |
unsigned int *ivi; |
| |
NDV redv; |
| |
NMV mr; |
| |
NODE rp; |
| |
int maxrs; |
| |
double hmag; |
| |
Q *cvect; |
| |
|
| |
maxrs = 0; |
| |
for ( i = 0; i < col && !svect[i]; i++ ); |
| |
if ( i == col ) return maxrs; |
| |
hmag = p_mag((P)svect[i])*nd_scale; |
| |
cvect = (Q *)ALLOCA(col*sizeof(Q)); |
| |
for ( i = 0; i < nred; i++ ) { |
| |
ivect = imat[i]; |
| |
k = ivect->head; |
| |
if ( svect[k] ) { |
| |
maxrs = MAX(maxrs,rp0[i]->sugar); |
| |
redv = trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index]; |
| |
len = LEN(redv); mr = BDY(redv); |
| |
igcd_cofactor(svect[k],CQ(mr),&gcd,&cs,&cr); |
| |
chsgnq(cs,&mcs); |
| |
if ( !UNIQ(cr) ) { |
| |
for ( j = 0; j < col; j++ ) { |
| |
mulq(svect[j],cr,&c1); svect[j] = c1; |
| |
} |
| |
} |
| |
svect[k] = 0; prev = k; |
| |
switch ( ivect->width ) { |
| |
case 1: |
| |
ivc = ivect->index.c; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivc[j]; prev = pos; |
| |
mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t; |
| |
} |
| |
break; |
| |
case 2: |
| |
ivs = ivect->index.s; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivs[j]; prev = pos; |
| |
mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t; |
| |
} |
| |
break; |
| |
case 4: |
| |
ivi = ivect->index.i; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivi[j]; prev = pos; |
| |
mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t; |
| |
} |
| |
break; |
| |
} |
| |
for ( j = k+1; j < col && !svect[j]; j++ ); |
| |
if ( j == col ) break; |
| |
if ( hmag && ((double)p_mag((P)svect[j]) > hmag) ) { |
| |
nz = compress_array(svect,cvect,col); |
| |
removecont_array((P *)cvect,nz); |
| |
expand_array(svect,cvect,nz); |
| |
hmag = ((double)p_mag((P)svect[j]))*nd_scale; |
| |
} |
| |
} |
| |
} |
| |
nz = compress_array(svect,cvect,col); |
| |
removecont_array((P *)cvect,nz); |
| |
expand_array(svect,cvect,nz); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"-"); fflush(asir_out); |
| |
} |
| |
return maxrs; |
| |
} |
| |
|
| int ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
int ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
| { |
{ |
| int i,j,k,len,pos,prev; |
int i,j,k,len,pos,prev; |
| Line 3897 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
|
| Line 4474 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
|
| if ( !len ) return 0; |
if ( !len ) return 0; |
| else { |
else { |
| mr0 = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len); |
mr0 = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len); |
| |
#if 0 |
| ndv_alloc += nmv_adv*len; |
ndv_alloc += nmv_adv*len; |
| |
#endif |
| mr = mr0; |
mr = mr0; |
| p = s0vect; |
p = s0vect; |
| for ( j = k = 0; j < col; j++, p += nd_wpd ) |
for ( j = k = 0; j < col; j++, p += nd_wpd ) |
| Line 3911 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
|
| Line 4490 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
|
| } |
} |
| } |
} |
| |
|
| int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket) |
/* for preprocessed vector */ |
| |
|
| |
NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead,UINT *s0vect) |
| { |
{ |
| |
int j,k,len; |
| |
UINT *p; |
| |
Q c; |
| |
NDV r; |
| |
NMV mr0,mr; |
| |
|
| |
for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
| |
if ( !len ) return 0; |
| |
else { |
| |
mr0 = (NMV)GC_malloc(nmv_adv*len); |
| |
#if 0 |
| |
ndv_alloc += nmv_adv*len; |
| |
#endif |
| |
mr = mr0; |
| |
p = s0vect; |
| |
for ( j = k = 0; j < col; j++, p += nd_wpd ) |
| |
if ( !rhead[j] ) { |
| |
if ( c = vect[k++] ) { |
| |
if ( DN(c) ) |
| |
error("afo"); |
| |
ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr); |
| |
} |
| |
} |
| |
MKNDV(nd_nvar,mr0,len,r); |
| |
return r; |
| |
} |
| |
} |
| |
|
| |
/* for plain vector */ |
| |
|
| |
NDV plain_vect_to_ndv_q(Q *vect,int col,UINT *s0vect) |
| |
{ |
| |
int j,k,len; |
| |
UINT *p; |
| |
Q c; |
| |
NDV r; |
| |
NMV mr0,mr; |
| |
|
| |
for ( j = 0, len = 0; j < col; j++ ) if ( vect[j] ) len++; |
| |
if ( !len ) return 0; |
| |
else { |
| |
mr0 = (NMV)GC_malloc(nmv_adv*len); |
| |
#if 0 |
| |
ndv_alloc += nmv_adv*len; |
| |
#endif |
| |
mr = mr0; |
| |
p = s0vect; |
| |
for ( j = k = 0; j < col; j++, p += nd_wpd, k++ ) |
| |
if ( c = vect[k] ) { |
| |
if ( DN(c) ) |
| |
error("afo"); |
| |
ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr); |
| |
} |
| |
MKNDV(nd_nvar,mr0,len,r); |
| |
return r; |
| |
} |
| |
} |
| |
|
| |
int nd_sp_f4(int m,int trace,ND_pairs l,PGeoBucket bucket) |
| |
{ |
| ND_pairs t; |
ND_pairs t; |
| NODE sp0,sp; |
NODE sp0,sp; |
| int stat; |
int stat; |
| ND spol; |
ND spol; |
| |
|
| for ( t = l; t; t = NEXT(t) ) { |
for ( t = l; t; t = NEXT(t) ) { |
| stat = nd_sp(m,0,t,&spol); |
stat = nd_sp(m,trace,t,&spol); |
| if ( !stat ) return 0; |
if ( !stat ) return 0; |
| if ( spol ) { |
if ( spol ) { |
| add_pbucket_symbolic(bucket,spol); |
add_pbucket_symbolic(bucket,spol); |
| Line 3928 int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket) |
|
| Line 4569 int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket) |
|
| return 1; |
return 1; |
| } |
} |
| |
|
| int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vect,NODE *r) |
int nd_symbolic_preproc(PGeoBucket bucket,int trace,UINT **s0vect,NODE *r) |
| { |
{ |
| NODE rp0,rp; |
NODE rp0,rp; |
| NM mul,head,s0,s; |
NM mul,head,s0,s; |
| Line 3937 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec |
|
| Line 4578 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec |
|
| UINT *s0v,*p; |
UINT *s0v,*p; |
| NM_ind_pair pair; |
NM_ind_pair pair; |
| ND red; |
ND red; |
| |
NDV *ps; |
| |
|
| s0 = 0; rp0 = 0; col = 0; |
s0 = 0; rp0 = 0; col = 0; |
| |
ps = trace?nd_ps_trace:nd_ps; |
| while ( 1 ) { |
while ( 1 ) { |
| head = remove_head_pbucket_symbolic(bucket); |
head = remove_head_pbucket_symbolic(bucket); |
| if ( !head ) break; |
if ( !head ) break; |
| Line 3951 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec |
|
| Line 4594 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec |
|
| NEWNM(mul); |
NEWNM(mul); |
| ndl_sub(DL(head),DL(h),DL(mul)); |
ndl_sub(DL(head),DL(h),DL(mul)); |
| if ( ndl_check_bound2(index,DL(mul)) ) return 0; |
if ( ndl_check_bound2(index,DL(mul)) ) return 0; |
| sugar = TD(DL(mul))+SG(nd_ps[index]); |
sugar = TD(DL(mul))+SG(ps[index]); |
| MKNM_ind_pair(pair,mul,index,sugar); |
MKNM_ind_pair(pair,mul,index,sugar); |
| red = ndv_mul_nm_symbolic(mul,nd_ps[index]); |
red = ndv_mul_nm_symbolic(mul,ps[index]); |
| add_pbucket_symbolic(bucket,nd_remove_head(red)); |
add_pbucket_symbolic(bucket,nd_remove_head(red)); |
| NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair; |
NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair; |
| } |
} |
| Line 3990 NODE nd_f4(int m) |
|
| Line 4633 NODE nd_f4(int m) |
|
| PGeoBucket bucket; |
PGeoBucket bucket; |
| struct oEGT eg0,eg1,eg_f4; |
struct oEGT eg0,eg1,eg_f4; |
| |
|
| if ( !m ) |
#if 0 |
| error("nd_f4 : not implemented"); |
|
| ndv_alloc = 0; |
ndv_alloc = 0; |
| |
#endif |
| g = 0; d = 0; |
g = 0; d = 0; |
| for ( i = 0; i < nd_psn; i++ ) { |
for ( i = 0; i < nd_psn; i++ ) { |
| d = update_pairs(d,g,i); |
d = update_pairs(d,g,i); |
| Line 4003 NODE nd_f4(int m) |
|
| Line 4646 NODE nd_f4(int m) |
|
| l = nd_minsugarp(d,&d); |
l = nd_minsugarp(d,&d); |
| sugar = SG(l); |
sugar = SG(l); |
| bucket = create_pbucket(); |
bucket = create_pbucket(); |
| stat = nd_sp_f4(m,l,bucket); |
stat = nd_sp_f4(m,0,l,bucket); |
| if ( !stat ) { |
if ( !stat ) { |
| for ( t = l; NEXT(t); t = NEXT(t) ); |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| NEXT(t) = d; d = l; |
NEXT(t) = d; d = l; |
| d = nd_reconstruct(m,0,d); |
d = nd_reconstruct(0,d); |
| continue; |
continue; |
| } |
} |
| if ( bucket->m < 0 ) continue; |
if ( bucket->m < 0 ) continue; |
| col = nd_symbolic_preproc(bucket,&s0vect,&rp0); |
col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0); |
| if ( !col ) { |
if ( !col ) { |
| for ( t = l; NEXT(t); t = NEXT(t) ); |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| NEXT(t) = d; d = l; |
NEXT(t) = d; d = l; |
| d = nd_reconstruct(m,0,d); |
d = nd_reconstruct(0,d); |
| continue; |
continue; |
| } |
} |
| get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1); |
get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1); |
| Line 4023 NODE nd_f4(int m) |
|
| Line 4666 NODE nd_f4(int m) |
|
| fprintf(asir_out,"sugar=%d,symb=%fsec,", |
fprintf(asir_out,"sugar=%d,symb=%fsec,", |
| sugar,eg_f4.exectime+eg_f4.gctime); |
sugar,eg_f4.exectime+eg_f4.gctime); |
| if ( 1 ) |
if ( 1 ) |
| nflist = nd_f4_red(m,l,s0vect,col,rp0); |
nflist = nd_f4_red(m,l,0,s0vect,col,rp0,0); |
| else |
else |
| nflist = nd_f4_red_dist(m,l,s0vect,col,rp0); |
nflist = nd_f4_red_dist(m,l,s0vect,col,rp0,0); |
| /* adding new bases */ |
/* adding new bases */ |
| for ( r = nflist; r; r = NEXT(r) ) { |
for ( r = nflist; r; r = NEXT(r) ) { |
| nf = (NDV)BDY(r); |
nf = (NDV)BDY(r); |
| ndv_removecont(m,nf); |
ndv_removecont(m,nf); |
| |
if ( !m && nd_nalg ) { |
| |
ND nf1; |
| |
|
| |
nf1 = ndvtond(m,nf); |
| |
nd_monic(0,&nf1); |
| |
nd_removecont(m,nf1); |
| |
nf = ndtondv(m,nf1); |
| |
} |
| nh = ndv_newps(m,nf,0); |
nh = ndv_newps(m,nf,0); |
| d = update_pairs(d,g,nh); |
d = update_pairs(d,g,nh); |
| g = update_base(g,nh); |
g = update_base(g,nh); |
| } |
} |
| } |
} |
| for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps[(int)BDY(r)]; |
for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps[(int)BDY(r)]; |
| |
#if 0 |
| fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc); |
fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc); |
| |
#endif |
| return g; |
return g; |
| } |
} |
| |
|
| NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0) |
NODE nd_f4_trace(int m) |
| { |
{ |
| |
int i,nh,stat,index; |
| |
NODE r,g; |
| |
ND_pairs d,l,l0,t; |
| |
ND spol,red; |
| |
NDV nf,redv,nfqv,nfv; |
| |
NM s0,s; |
| |
NODE rp0,srp0,nflist; |
| |
int nsp,nred,col,rank,len,k,j,a; |
| |
UINT c; |
| |
UINT **spmat; |
| |
UINT *s0vect,*svect,*p,*v; |
| |
int *colstat; |
| IndArray *imat; |
IndArray *imat; |
| int nsp,nred,spcol,sprow,a; |
|
| int *rhead; |
int *rhead; |
| int i,j,k,l,rank; |
int spcol,sprow; |
| NODE rp,r0,r; |
int sugar; |
| |
PGeoBucket bucket; |
| |
struct oEGT eg0,eg1,eg_f4; |
| |
|
| |
g = 0; d = 0; |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
d = update_pairs(d,g,i); |
| |
g = update_base(g,i); |
| |
} |
| |
while ( d ) { |
| |
get_eg(&eg0); |
| |
l = nd_minsugarp(d,&d); |
| |
sugar = SG(l); |
| |
bucket = create_pbucket(); |
| |
stat = nd_sp_f4(m,0,l,bucket); |
| |
if ( !stat ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
if ( bucket->m < 0 ) continue; |
| |
col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0); |
| |
if ( !col ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1); |
| |
if ( DP_Print ) |
| |
fprintf(asir_out,"sugar=%d,symb=%fsec,", |
| |
sugar,eg_f4.exectime+eg_f4.gctime); |
| |
nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0); |
| |
if ( !l0 ) continue; |
| |
l = l0; |
| |
|
| |
/* over Q */ |
| |
bucket = create_pbucket(); |
| |
stat = nd_sp_f4(0,1,l,bucket); |
| |
if ( !stat ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
if ( bucket->m < 0 ) continue; |
| |
col = nd_symbolic_preproc(bucket,1,&s0vect,&rp0); |
| |
if ( !col ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
nflist = nd_f4_red(0,l,1,s0vect,col,rp0,0); |
| |
/* adding new bases */ |
| |
for ( r = nflist; r; r = NEXT(r) ) { |
| |
nfqv = (NDV)BDY(r); |
| |
ndv_removecont(0,nfqv); |
| |
if ( !rem(NM(HCQ(nfqv)),m) ) return 0; |
| |
if ( nd_nalg ) { |
| |
ND nf1; |
| |
|
| |
nf1 = ndvtond(m,nfqv); |
| |
nd_monic(0,&nf1); |
| |
nd_removecont(0,nf1); |
| |
nfqv = ndtondv(0,nf1); nd_free(nf1); |
| |
} |
| |
nfv = ndv_dup(0,nfqv); |
| |
ndv_mod(m,nfv); |
| |
ndv_removecont(m,nfv); |
| |
nh = ndv_newps(0,nfv,nfqv); |
| |
d = update_pairs(d,g,nh); |
| |
g = update_base(g,nh); |
| |
} |
| |
} |
| |
for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps_trace[(int)BDY(r)]; |
| |
#if 0 |
| |
fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc); |
| |
#endif |
| |
return g; |
| |
} |
| |
|
| |
NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz) |
| |
{ |
| |
IndArray *imat; |
| |
int nsp,nred,i; |
| |
int *rhead; |
| |
NODE r0,rp; |
| ND_pairs sp; |
ND_pairs sp; |
| ND spol; |
|
| int **spmat; |
|
| UINT *svect,*v; |
|
| int *colstat; |
|
| struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
|
| NM_ind_pair *rvect; |
NM_ind_pair *rvect; |
| int maxrs; |
|
| int *spsugar; |
|
| |
|
| get_eg(&eg0); |
|
| for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
| nred = length(rp0); spcol = col-nred; |
nred = length(rp0); |
| imat = (IndArray *)ALLOCA(nred*sizeof(IndArray)); |
imat = (IndArray *)ALLOCA(nred*sizeof(IndArray)); |
| rhead = (int *)ALLOCA(col*sizeof(int)); |
rhead = (int *)ALLOCA(col*sizeof(int)); |
| for ( i = 0; i < col; i++ ) rhead[i] = 0; |
for ( i = 0; i < col; i++ ) rhead[i] = 0; |
| Line 4071 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| Line 4815 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rvect[i]); |
imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rvect[i]); |
| rhead[imat[i]->head] = 1; |
rhead[imat[i]->head] = 1; |
| } |
} |
| |
if ( m ) |
| |
r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz); |
| |
else |
| |
r0 = nd_f4_red_q_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred); |
| |
return r0; |
| |
} |
| |
|
| |
NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz) |
| |
{ |
| |
int spcol,sprow,a; |
| |
int i,j,k,l,rank; |
| |
NODE r0,r; |
| |
ND_pairs sp; |
| |
ND spol; |
| |
int **spmat; |
| |
UINT *svect,*v; |
| |
int *colstat; |
| |
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
| |
int maxrs; |
| |
int *spsugar; |
| |
ND_pairs *spactive; |
| |
|
| |
spcol = col-nred; |
| |
get_eg(&eg0); |
| /* elimination (1st step) */ |
/* elimination (1st step) */ |
| spmat = (int **)ALLOCA(nsp*sizeof(UINT *)); |
spmat = (int **)ALLOCA(nsp*sizeof(UINT *)); |
| svect = (UINT *)ALLOCA(col*sizeof(UINT)); |
svect = (UINT *)ALLOCA(col*sizeof(UINT)); |
| spsugar = (int *)ALLOCA(nsp*sizeof(UINT)); |
spsugar = (int *)ALLOCA(nsp*sizeof(UINT)); |
| |
spactive = !nz?0:(ND_pairs *)ALLOCA(nsp*sizeof(ND_pairs)); |
| for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| nd_sp(m,0,sp,&spol); |
nd_sp(m,0,sp,&spol); |
| if ( !spol ) continue; |
if ( !spol ) continue; |
| Line 4090 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| Line 4859 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| for ( j = k = 0; j < col; j++ ) |
for ( j = k = 0; j < col; j++ ) |
| if ( !rhead[j] ) v[k++] = svect[j]; |
if ( !rhead[j] ) v[k++] = svect[j]; |
| spsugar[sprow] = MAX(maxrs,SG(spol)); |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
| |
if ( nz ) |
| |
spactive[sprow] = sp; |
| sprow++; |
sprow++; |
| } |
} |
| nd_free(spol); |
nd_free(spol); |
| Line 4107 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| Line 4878 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| if ( m == -1 ) |
if ( m == -1 ) |
| rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat); |
rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat); |
| else |
else |
| rank = nd_gauss_elim_mod(spmat,spsugar,sprow,spcol,m,colstat); |
rank = nd_gauss_elim_mod(spmat,spsugar,spactive,sprow,spcol,m,colstat); |
| r0 = 0; |
r0 = 0; |
| for ( i = 0; i < rank; i++ ) { |
for ( i = 0; i < rank; i++ ) { |
| NEXTNODE(r0,r); BDY(r) = |
NEXTNODE(r0,r); BDY(r) = |
| Line 4115 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| Line 4886 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| SG((NDV)BDY(r)) = spsugar[i]; |
SG((NDV)BDY(r)) = spsugar[i]; |
| GC_free(spmat[i]); |
GC_free(spmat[i]); |
| } |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
|
| for ( ; i < sprow; i++ ) GC_free(spmat[i]); |
for ( ; i < sprow; i++ ) GC_free(spmat[i]); |
| get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
| init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
| Line 4124 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| Line 4897 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col |
|
| nsp,nred,sprow,spcol,rank); |
nsp,nred,sprow,spcol,rank); |
| fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime); |
fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime); |
| } |
} |
| |
if ( nz ) { |
| |
for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1]; |
| |
if ( rank > 0 ) { |
| |
NEXT(spactive[rank-1]) = 0; |
| |
*nz = spactive[0]; |
| |
} else |
| |
*nz = 0; |
| |
} |
| return r0; |
return r0; |
| } |
} |
| |
|
| |
#if 1 |
| |
NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred) |
| |
{ |
| |
int spcol,sprow,a; |
| |
int i,j,k,l,rank; |
| |
NODE r0,r; |
| |
ND_pairs sp; |
| |
ND spol; |
| |
Q **spmat; |
| |
Q *svect,*v; |
| |
int *colstat; |
| |
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
| |
int maxrs; |
| |
int *spsugar; |
| |
pointer *w; |
| |
|
| |
spcol = col-nred; |
| |
get_eg(&eg0); |
| |
/* elimination (1st step) */ |
| |
spmat = (Q **)ALLOCA(nsp*sizeof(Q *)); |
| |
svect = (Q *)ALLOCA(col*sizeof(Q)); |
| |
spsugar = (int *)ALLOCA(nsp*sizeof(Q)); |
| |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| |
nd_sp(0,trace,sp,&spol); |
| |
if ( !spol ) continue; |
| |
nd_to_vect_q(s0vect,col,spol,svect); |
| |
maxrs = ndv_reduce_vect_q(svect,trace,col,imat,rvect,nred); |
| |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
| |
if ( i < col ) { |
| |
spmat[sprow] = v = (Q *)MALLOC(spcol*sizeof(Q)); |
| |
for ( j = k = 0; j < col; j++ ) |
| |
if ( !rhead[j] ) v[k++] = svect[j]; |
| |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
| |
sprow++; |
| |
} |
| |
/* nd_free(spol); */ |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim1=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime); |
| |
fflush(asir_out); |
| |
} |
| |
/* free index arrays */ |
| |
/* for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c); */ |
| |
|
| |
/* elimination (2nd step) */ |
| |
colstat = (int *)ALLOCA(spcol*sizeof(int)); |
| |
rank = nd_gauss_elim_q(spmat,spsugar,sprow,spcol,colstat); |
| |
w = (pointer *)ALLOCA(rank*sizeof(pointer)); |
| |
for ( i = 0; i < rank; i++ ) { |
| |
w[rank-i-1] = (pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect); |
| |
SG((NDV)w[rank-i-1]) = spsugar[i]; |
| |
/* GC_free(spmat[i]); */ |
| |
} |
| |
#if 0 |
| |
qsort(w,rank,sizeof(NDV), |
| |
(int (*)(const void *,const void *))ndv_compare); |
| |
#endif |
| |
r0 = 0; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
NEXTNODE(r0,r); BDY(r) = w[i]; |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
|
| |
/* for ( ; i < sprow; i++ ) GC_free(spmat[i]); */ |
| |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
| |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime); |
| |
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
| |
nsp,nred,sprow,spcol,rank); |
| |
fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime); |
| |
} |
| |
return r0; |
| |
} |
| |
#else |
| |
void printm(Q **mat,int row,int col) |
| |
{ |
| |
int i,j; |
| |
printf("["); |
| |
for ( i = 0; i < row; i++ ) { |
| |
for ( j = 0; j < col; j++ ) { |
| |
printexpr(CO,mat[i][j]); printf(" "); |
| |
} |
| |
printf("]\n"); |
| |
} |
| |
} |
| |
|
| |
NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred) |
| |
{ |
| |
int row,a; |
| |
int i,j,rank; |
| |
NODE r0,r; |
| |
ND_pairs sp; |
| |
ND spol; |
| |
Q **mat; |
| |
int *colstat; |
| |
int *sugar; |
| |
|
| |
row = nsp+nred; |
| |
/* make the matrix */ |
| |
mat = (Q **)ALLOCA(row*sizeof(Q *)); |
| |
sugar = (int *)ALLOCA(row*sizeof(int)); |
| |
for ( row = a = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| |
nd_sp(0,0,sp,&spol); |
| |
if ( !spol ) continue; |
| |
mat[row] = (Q *)MALLOC(col*sizeof(Q)); |
| |
nd_to_vect_q(s0vect,col,spol,mat[row]); |
| |
sugar[row] = SG(spol); |
| |
row++; |
| |
} |
| |
for ( i = 0; i < nred; i++, row++ ) { |
| |
mat[row] = nm_ind_pair_to_vect(0,s0vect,col,rvect[i]); |
| |
sugar[row] = rvect[i]->sugar; |
| |
} |
| |
/* elimination */ |
| |
colstat = (int *)ALLOCA(col*sizeof(int)); |
| |
rank = nd_gauss_elim_q(mat,sugar,row,col,colstat); |
| |
r0 = 0; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
for ( j = 0; j < col; j++ ) if ( mat[i][j] ) break; |
| |
if ( j == col ) error("nd_f4_red_q_main : cannot happen"); |
| |
if ( rhead[j] ) continue; |
| |
NEXTNODE(r0,r); BDY(r) = |
| |
(pointer)plain_vect_to_ndv_q(mat[i],col,s0vect); |
| |
SG((NDV)BDY(r)) = sugar[i]; |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
printf("\n"); |
| |
return r0; |
| |
} |
| |
#endif |
| |
|
| FILE *nd_write,*nd_read; |
FILE *nd_write,*nd_read; |
| |
|
| void nd_send_int(int a) { |
void nd_send_int(int a) { |
| Line 4190 NDV nd_recv_ndv() |
|
| Line 5106 NDV nd_recv_ndv() |
|
| if ( !len ) return 0; |
if ( !len ) return 0; |
| else { |
else { |
| m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len); |
m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len); |
| |
#if 0 |
| ndv_alloc += len*nmv_adv; |
ndv_alloc += len*nmv_adv; |
| |
#endif |
| for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
| CM(m) = nd_recv_int(); |
CM(m) = nd_recv_int(); |
| nd_recv_intarray(DL(m),nd_wpd); |
nd_recv_intarray(DL(m),nd_wpd); |
| Line 4218 int ox_exec_f4_red(Q proc) |
|
| Line 5136 int ox_exec_f4_red(Q proc) |
|
| return s; |
return s; |
| } |
} |
| |
|
| NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0) |
NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0,ND_pairs *nz) |
| { |
{ |
| int nsp,nred; |
int nsp,nred; |
| int i,rank,s; |
int i,rank,s; |
| Line 4372 void nd_exec_f4_red_dist() |
|
| Line 5290 void nd_exec_f4_red_dist() |
|
| if ( m == -1 ) |
if ( m == -1 ) |
| rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat); |
rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat); |
| else |
else |
| rank = nd_gauss_elim_mod(spmat,spsugar,sprow,spcol,m,colstat); |
rank = nd_gauss_elim_mod(spmat,spsugar,0,sprow,spcol,m,colstat); |
| nd_send_int(rank); |
nd_send_int(rank); |
| for ( i = 0; i < rank; i++ ) { |
for ( i = 0; i < rank; i++ ) { |
| nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
| Line 4381 void nd_exec_f4_red_dist() |
|
| Line 5299 void nd_exec_f4_red_dist() |
|
| fflush(nd_write); |
fflush(nd_write); |
| } |
} |
| |
|
| int nd_gauss_elim_mod(int **mat0,int *sugar,int row,int col,int md,int *colstat) |
int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int col,int *colstat) |
| { |
{ |
| |
int mod,i,j,t,c,rank,rank0,inv; |
| |
int *ci,*ri; |
| |
Q dn; |
| |
MAT m,nm; |
| |
int **wmat; |
| |
|
| |
/* XXX */ |
| |
mod = 99999989; |
| |
wmat = (int **)ALLOCA(row*sizeof(int *)); |
| |
for ( i = 0; i < row; i++ ) { |
| |
wmat[i] = (int *)ALLOCA(col*sizeof(int)); |
| |
for ( j = 0; j < col; j++ ) { |
| |
if ( mat0[i][j] ) { |
| |
t = rem(NM(mat0[i][j]),mod); |
| |
if ( SGN(mat0[i][j]) < 0 ) t = mod-t; |
| |
wmat[i][j] = t; |
| |
} else |
| |
wmat[i][j] = 0; |
| |
} |
| |
} |
| |
rank0 = nd_gauss_elim_mod(wmat,sugar,0,row,col,mod,colstat); |
| |
NEWMAT(m); m->row = row; m->col = col; m->body = (pointer **)mat0; |
| |
rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci); |
| |
if ( rank != rank0 ) |
| |
error("afo"); |
| |
for ( i = 0; i < row; i++ ) |
| |
for ( j = 0; j < col; j++ ) |
| |
mat0[i][j] = 0; |
| |
c = col-rank; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
mat0[i][ri[i]] = dn; |
| |
for ( j = 0; j < c; j++ ) |
| |
mat0[i][ci[j]] = (Q)BDY(nm)[i][j]; |
| |
} |
| |
inv = invm(rem(NM(dn),mod),mod); |
| |
if ( SGN(dn) < 0 ) inv = mod-inv; |
| |
for ( i = 0; i < row; i++ ) |
| |
for ( j = 0; j < col; j++ ) { |
| |
if ( mat0[i][j] ) { |
| |
t = rem(NM(mat0[i][j]),mod); |
| |
if ( SGN(mat0[i][j]) < 0 ) t = mod-t; |
| |
} else |
| |
t = 0; |
| |
c = dmar(t,inv,0,mod); |
| |
if ( wmat[i][j] != c ) |
| |
error("afo"); |
| |
} |
| |
return rank; |
| |
} |
| |
|
| |
int nd_gauss_elim_mod(int **mat0,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat) |
| |
{ |
| int i,j,k,l,inv,a,rank,s; |
int i,j,k,l,inv,a,rank,s; |
| unsigned int *t,*pivot,*pk; |
unsigned int *t,*pivot,*pk; |
| unsigned int **mat; |
unsigned int **mat; |
| |
ND_pairs pair; |
| |
|
| mat = (unsigned int **)mat0; |
mat = (unsigned int **)mat0; |
| for ( rank = 0, j = 0; j < col; j++ ) { |
for ( rank = 0, j = 0; j < col; j++ ) { |
| Line 4402 int nd_gauss_elim_mod(int **mat0,int *sugar,int row,in |
|
| Line 5373 int nd_gauss_elim_mod(int **mat0,int *sugar,int row,in |
|
| if ( i != rank ) { |
if ( i != rank ) { |
| t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; |
t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; |
| s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s; |
s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s; |
| |
if ( spactive ) { |
| |
pair = spactive[i]; spactive[i] = spactive[rank]; |
| |
spactive[rank] = pair; |
| |
} |
| } |
} |
| pivot = mat[rank]; |
pivot = mat[rank]; |
| s = sugar[rank]; |
s = sugar[rank]; |
| Line 4586 NDV ndv_load(int index) |
|
| Line 5561 NDV ndv_load(int index) |
|
| MKNDV(nv,m0,len,d); |
MKNDV(nv,m0,len,d); |
| SG(d) = sugar; |
SG(d) = sugar; |
| return d; |
return d; |
| |
} |
| |
|
| |
void nd_det(int mod,MAT f,P *rp) |
| |
{ |
| |
VL fv,tv; |
| |
int n,i,j,max,e,nvar,sgn,k0,l0,len0,len,k,l,a; |
| |
pointer **m; |
| |
Q mone; |
| |
P **w; |
| |
P mp,r; |
| |
NDV **dm; |
| |
NDV *t,*mi,*mj; |
| |
NDV d,s,mij,mjj; |
| |
ND u; |
| |
NMV nmv; |
| |
UINT *bound; |
| |
PGeoBucket bucket; |
| |
struct order_spec *ord; |
| |
Q dq,dt,ds; |
| |
N gn,qn,dn0,nm,dn; |
| |
|
| |
create_order_spec(0,0,&ord); |
| |
nd_init_ord(ord); |
| |
get_vars((Obj)f,&fv); |
| |
if ( f->row != f->col ) |
| |
error("nd_det : non-square matrix"); |
| |
n = f->row; |
| |
m = f->body; |
| |
for ( nvar = 0, tv = fv; tv; tv = NEXT(tv), nvar++ ); |
| |
|
| |
if ( !nvar ) { |
| |
if ( !mod ) |
| |
detp(CO,(P **)m,n,rp); |
| |
else { |
| |
w = (P **)almat_pointer(n,n); |
| |
for ( i = 0; i < n; i++ ) |
| |
for ( j = 0; j < n; j++ ) |
| |
ptomp(mod,(P)m[i][j],&w[i][j]); |
| |
detmp(CO,mod,w,n,&mp); |
| |
mptop(mp,rp); |
| |
} |
| |
return; |
| |
} |
| |
|
| |
if ( !mod ) { |
| |
w = (P **)almat_pointer(n,n); |
| |
dq = ONE; |
| |
for ( i = 0; i < n; i++ ) { |
| |
dn0 = ONEN; |
| |
for ( j = 0; j < n; j++ ) { |
| |
if ( !m[i][j] ) continue; |
| |
lgp(m[i][j],&nm,&dn); |
| |
gcdn(dn0,dn,&gn); divsn(dn0,gn,&qn); muln(qn,dn,&dn0); |
| |
} |
| |
if ( !UNIN(dn0) ) { |
| |
NTOQ(dn0,1,ds); |
| |
for ( j = 0; j < n; j++ ) |
| |
mulp(CO,(P)m[i][j],(P)ds,&w[i][j]); |
| |
mulq(dq,ds,&dt); dq = dt; |
| |
} else |
| |
for ( j = 0; j < n; j++ ) |
| |
w[i][j] = (P)m[i][j]; |
| |
} |
| |
m = (pointer **)w; |
| |
} |
| |
|
| |
for ( i = 0, max = 0; i < n; i++ ) |
| |
for ( j = 0; j < n; j++ ) |
| |
for ( tv = fv; tv; tv = NEXT(tv) ) { |
| |
e = getdeg(tv->v,(P)m[i][j]); |
| |
max = MAX(e,max); |
| |
} |
| |
nd_setup_parameters(nvar,max); |
| |
dm = (NDV **)almat_pointer(n,n); |
| |
for ( i = 0, max = 0; i < n; i++ ) |
| |
for ( j = 0; j < n; j++ ) { |
| |
dm[i][j] = ptondv(CO,fv,m[i][j]); |
| |
if ( mod ) ndv_mod(mod,dm[i][j]); |
| |
if ( dm[i][j] && !LEN(dm[i][j]) ) dm[i][j] = 0; |
| |
} |
| |
d = ptondv(CO,fv,(P)ONE); |
| |
if ( mod ) ndv_mod(mod,d); |
| |
chsgnq(ONE,&mone); |
| |
for ( j = 0, sgn = 1; j < n; j++ ) { |
| |
if ( DP_Print ) fprintf(stderr,".",j); |
| |
for ( i = j; i < n && !dm[i][j]; i++ ); |
| |
if ( i == n ) { |
| |
*rp = 0; |
| |
return; |
| |
} |
| |
k0 = i; l0 = j; len0 = LEN(dm[k0][l0]); |
| |
for ( k = j; k < n; k++ ) |
| |
for ( l = j; l < n; l++ ) |
| |
if ( dm[k][l] && LEN(dm[k][l]) < len0 ) { |
| |
k0 = k; l0 = l; len0 = LEN(dm[k][l]); |
| |
} |
| |
if ( k0 != j ) { |
| |
t = dm[j]; dm[j] = dm[k0]; dm[k0] = t; |
| |
sgn = -sgn; |
| |
} |
| |
if ( l0 != j ) { |
| |
for ( k = j; k < n; k++ ) { |
| |
s = dm[k][j]; dm[k][j] = dm[k][l0]; dm[k][l0] = s; |
| |
} |
| |
sgn = -sgn; |
| |
} |
| |
bound = nd_det_compute_bound(dm,n,j); |
| |
if ( ndl_check_bound(bound,bound) ) |
| |
nd_det_reconstruct(dm,n,j,d); |
| |
|
| |
for ( i = j+1, mj = dm[j], mjj = mj[j]; i < n; i++ ) { |
| |
/* if ( DP_Print ) fprintf(stderr," i=%d\n ",i); */ |
| |
mi = dm[i]; mij = mi[j]; |
| |
if ( mod ) |
| |
ndv_mul_c(mod,mij,mod-1); |
| |
else |
| |
ndv_mul_c_q(mij,mone); |
| |
for ( k = j+1; k < n; k++ ) { |
| |
/* if ( DP_Print ) fprintf(stderr,"k=%d ",k); */ |
| |
bucket = create_pbucket(); |
| |
if ( mi[k] ) { |
| |
nmv = BDY(mjj); len = LEN(mjj); |
| |
for ( a = 0; a < len; a++, NMV_ADV(nmv) ) { |
| |
u = ndv_mul_nmv_trunc(mod,nmv,mi[k],DL(BDY(d))); |
| |
add_pbucket(mod,bucket,u); |
| |
} |
| |
} |
| |
if ( mj[k] && mij ) { |
| |
nmv = BDY(mij); len = LEN(mij); |
| |
for ( a = 0; a < len; a++, NMV_ADV(nmv) ) { |
| |
u = ndv_mul_nmv_trunc(mod,nmv,mj[k],DL(BDY(d))); |
| |
add_pbucket(mod,bucket,u); |
| |
} |
| |
} |
| |
u = nd_quo(mod,bucket,d); |
| |
mi[k] = ndtondv(mod,u); |
| |
} |
| |
/* if ( DP_Print ) fprintf(stderr,"\n",k); */ |
| |
} |
| |
d = mjj; |
| |
} |
| |
if ( DP_Print ) fprintf(stderr,"\n",k); |
| |
if ( sgn < 0 ) |
| |
if ( mod ) |
| |
ndv_mul_c(mod,d,mod-1); |
| |
else |
| |
ndv_mul_c_q(d,mone); |
| |
r = ndvtop(mod,CO,fv,d); |
| |
if ( !mod && !UNIQ(dq) ) |
| |
divsp(CO,r,(P)dq,rp); |
| |
else |
| |
*rp = r; |
| |
} |
| |
|
| |
ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d) |
| |
{ |
| |
NM mr,mr0; |
| |
NM tnm; |
| |
NMV m; |
| |
UINT *d0,*dt,*dm; |
| |
int c,n,td,i,c1,c2,len; |
| |
Q q; |
| |
ND r; |
| |
|
| |
if ( !p ) return 0; |
| |
else { |
| |
n = NV(p); m = BDY(p); len = LEN(p); |
| |
d0 = DL(m0); |
| |
td = TD(d); |
| |
mr0 = 0; |
| |
NEWNM(tnm); |
| |
if ( mod ) { |
| |
c = CM(m0); |
| |
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
ndl_add(DL(m),d0,DL(tnm)); |
| |
if ( ndl_reducible(DL(tnm),d) ) { |
| |
NEXTNM(mr0,mr); |
| |
c1 = CM(m); DMAR(c1,c,0,mod,c2); CM(mr) = c2; |
| |
ndl_copy(DL(tnm),DL(mr)); |
| |
} |
| |
} |
| |
} else { |
| |
q = CQ(m0); |
| |
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
ndl_add(DL(m),d0,DL(tnm)); |
| |
if ( ndl_reducible(DL(tnm),d) ) { |
| |
NEXTNM(mr0,mr); |
| |
mulq(CQ(m),q,&CQ(mr)); |
| |
ndl_copy(DL(tnm),DL(mr)); |
| |
} |
| |
} |
| |
} |
| |
if ( !mr0 ) |
| |
return 0; |
| |
else { |
| |
NEXT(mr) = 0; |
| |
for ( len = 0, mr = mr0; mr; mr = NEXT(mr), len++ ); |
| |
MKND(NV(p),mr0,len,r); |
| |
SG(r) = SG(p) + TD(d0); |
| |
return r; |
| |
} |
| |
} |
| |
} |
| |
|
| |
void nd_det_reconstruct(NDV **dm,int n,int j,NDV d) |
| |
{ |
| |
int i,obpe,oadv,h,k,l; |
| |
static NM prev_nm_free_list; |
| |
EPOS oepos; |
| |
|
| |
obpe = nd_bpe; |
| |
oadv = nmv_adv; |
| |
oepos = nd_epos; |
| |
if ( obpe < 2 ) nd_bpe = 2; |
| |
else if ( obpe < 3 ) nd_bpe = 3; |
| |
else if ( obpe < 4 ) nd_bpe = 4; |
| |
else if ( obpe < 5 ) nd_bpe = 5; |
| |
else if ( obpe < 6 ) nd_bpe = 6; |
| |
else if ( obpe < 8 ) nd_bpe = 8; |
| |
else if ( obpe < 10 ) nd_bpe = 10; |
| |
else if ( obpe < 16 ) nd_bpe = 16; |
| |
else if ( obpe < 32 ) nd_bpe = 32; |
| |
else error("nd_det_reconstruct : exponent too large"); |
| |
|
| |
nd_setup_parameters(nd_nvar,0); |
| |
prev_nm_free_list = _nm_free_list; |
| |
_nm_free_list = 0; |
| |
for ( k = j; k < n; k++ ) |
| |
for (l = j; l < n; l++ ) |
| |
ndv_realloc(dm[k][l],obpe,oadv,oepos); |
| |
ndv_realloc(d,obpe,oadv,oepos); |
| |
prev_nm_free_list = 0; |
| |
#if 0 |
| |
GC_gcollect(); |
| |
#endif |
| |
} |
| |
|
| |
UINT *nd_det_compute_bound(NDV **dm,int n,int j) |
| |
{ |
| |
UINT *d0,*d1,*d,*t,*r; |
| |
int k,l; |
| |
|
| |
d0 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
| |
d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
| |
for ( k = 0; k < nd_wpd; k++ ) d0[k] = 0; |
| |
for ( k = j; k < n; k++ ) |
| |
for ( l = j; l < n; l++ ) |
| |
if ( dm[k][l] ) { |
| |
d = ndv_compute_bound(dm[k][l]); |
| |
ndl_lcm(d,d0,d1); |
| |
t = d1; d1 = d0; d0 = t; |
| |
} |
| |
r = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
| |
for ( k = 0; k < nd_wpd; k++ ) r[k] = d0[k]; |
| |
return r; |
| |
} |
| |
|
| |
DL nd_separate_d(UINT *d,UINT *trans) |
| |
{ |
| |
int n,td,i,e,j; |
| |
DL a; |
| |
|
| |
ndl_zero(trans); |
| |
td = 0; |
| |
for ( i = 0; i < nd_ntrans; i++ ) { |
| |
e = GET_EXP(d,i); |
| |
PUT_EXP(trans,i,e); |
| |
td += MUL_WEIGHT(e,i); |
| |
} |
| |
if ( nd_ntrans+nd_nalg < nd_nvar ) { |
| |
/* homogenized */ |
| |
i = nd_nvar-1; |
| |
e = GET_EXP(d,i); |
| |
PUT_EXP(trans,i,e); |
| |
td += MUL_WEIGHT(e,i); |
| |
} |
| |
TD(trans) = td; |
| |
if ( nd_blockmask) ndl_weight_mask(trans); |
| |
NEWDL(a,nd_nalg); |
| |
td = 0; |
| |
for ( i = 0; i < nd_nalg; i++ ) { |
| |
j = nd_ntrans+i; |
| |
e = GET_EXP(d,j); |
| |
a->d[i] = e; |
| |
td += e; |
| |
} |
| |
a->td = td; |
| |
return a; |
| |
} |
| |
|
| |
int nd_monic(int mod,ND *p) |
| |
{ |
| |
UINT *trans,*t; |
| |
DL alg; |
| |
MP mp0,mp; |
| |
NM m,m0,m1,ma0,ma,mb,mr0,mr; |
| |
ND r; |
| |
DL dl; |
| |
DP nm; |
| |
NDV ndv; |
| |
DAlg inv,cd; |
| |
ND s,c; |
| |
Q l,mul; |
| |
N ln; |
| |
int n,ntrans,i,e,td,is_lc,len; |
| |
NumberField nf; |
| |
struct oEGT eg0,eg1; |
| |
|
| |
if ( !(nf = get_numberfield()) ) |
| |
error("nd_monic : current_numberfield is not set"); |
| |
|
| |
/* Q coef -> DAlg coef */ |
| |
NEWNM(ma0); ma = ma0; |
| |
m = BDY(*p); |
| |
is_lc = 1; |
| |
while ( 1 ) { |
| |
NEWMP(mp0); mp = mp0; |
| |
mp->c = (P)CQ(m); |
| |
mp->dl = nd_separate_d(DL(m),DL(ma)); |
| |
NEWNM(mb); |
| |
for ( m = NEXT(m); m; m = NEXT(m) ) { |
| |
alg = nd_separate_d(DL(m),DL(mb)); |
| |
if ( !ndl_equal(DL(ma),DL(mb)) ) |
| |
break; |
| |
NEXTMP(mp0,mp); mp->c = (P)CQ(m); mp->dl = alg; |
| |
} |
| |
NEXT(mp) = 0; |
| |
MKDP(nd_nalg,mp0,nm); |
| |
MKDAlg(nm,ONE,cd); |
| |
if ( is_lc == 1 ) { |
| |
/* if the lc is a rational number, we have nothing to do */ |
| |
if ( !mp0->dl->td ) |
| |
return 1; |
| |
|
| |
get_eg(&eg0); |
| |
invdalg(cd,&inv); |
| |
get_eg(&eg1); add_eg(&eg_invdalg,&eg0,&eg1); |
| |
/* check the validity of inv */ |
| |
if ( mod && !rem(NM(inv->dn),mod) ) |
| |
return 0; |
| |
CA(ma) = nf->one; |
| |
is_lc = 0; |
| |
ln = ONEN; |
| |
} else { |
| |
muldalg(cd,inv,&CA(ma)); |
| |
lcmn(ln,NM(CA(ma)->dn),&ln); |
| |
} |
| |
if ( m ) { |
| |
NEXT(ma) = mb; ma = mb; |
| |
} else { |
| |
NEXT(ma) = 0; |
| |
break; |
| |
} |
| |
} |
| |
/* l = lcm(denoms) */ |
| |
NTOQ(ln,1,l); |
| |
for ( mr0 = 0, m = ma0; m; m = NEXT(m) ) { |
| |
divq(l,CA(m)->dn,&mul); |
| |
for ( mp = BDY(CA(m)->nm); mp; mp = NEXT(mp) ) { |
| |
NEXTNM(mr0,mr); |
| |
mulq((Q)mp->c,mul,&CQ(mr)); |
| |
dl = mp->dl; |
| |
td = TD(DL(m)); |
| |
ndl_copy(DL(m),DL(mr)); |
| |
for ( i = 0; i < nd_nalg; i++ ) { |
| |
e = dl->d[i]; |
| |
PUT_EXP(DL(mr),i+nd_ntrans,e); |
| |
td += MUL_WEIGHT(e,i+nd_ntrans); |
| |
} |
| |
TD(DL(mr)) = td; |
| |
if ( nd_blockmask) ndl_weight_mask(DL(mr)); |
| |
} |
| |
} |
| |
NEXT(mr) = 0; |
| |
for ( len = 0, mr = mr0; mr; mr = NEXT(mr), len++ ); |
| |
MKND(NV(*p),mr0,len,r); |
| |
/* XXX */ |
| |
SG(r) = SG(*p); |
| |
nd_free(*p); |
| |
*p = r; |
| |
return 1; |
| } |
} |
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