version 1.52, 2003/08/27 02:21:16 |
version 1.56, 2003/09/04 08:35:09 |
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.51 2003/08/27 01:53:29 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.55 2003/09/03 07:33:35 noro Exp $ */ |
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#include "ca.h" |
#include "ca.h" |
#include "inline.h" |
#include "inline.h" |
Line 109 static ND _nd_free_list; |
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Line 109 static ND _nd_free_list; |
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static ND_pairs _ndp_free_list; |
static ND_pairs _ndp_free_list; |
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static NDV *nd_ps; |
static NDV *nd_ps; |
static NDV *nd_psq; |
static NDV *nd_ps_trace; |
static RHist *nd_psh; |
static RHist *nd_psh; |
static int nd_psn,nd_pslen; |
static int nd_psn,nd_pslen; |
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Line 120 static int nm_adv; |
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Line 120 static int nm_adv; |
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static int nmv_adv; |
static int nmv_adv; |
static int nd_dcomp; |
static int nd_dcomp; |
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extern int Top,Reverse,dp_nelim; |
extern int Top,Reverse,dp_nelim,do_weyl; |
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/* fundamental macros */ |
/* fundamental macros */ |
#define TD(d) (d[0]) |
#define TD(d) (d[0]) |
Line 185 if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT |
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Line 185 if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT |
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/* macro for increasing pointer to NMV */ |
/* macro for increasing pointer to NMV */ |
#define NMV_ADV(m) (m = (NMV)(((char *)m)+nmv_adv)) |
#define NMV_ADV(m) (m = (NMV)(((char *)m)+nmv_adv)) |
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#define NMV_PREV(m) (m = (NMV)(((char *)m)-nmv_adv)) |
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/* external functions */ |
/* external functions */ |
void GC_gcollect(); |
void GC_gcollect(); |
Line 233 INLINE int ndl_block_compare(unsigned int *d1,unsigned |
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Line 234 INLINE int ndl_block_compare(unsigned int *d1,unsigned |
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INLINE int ndl_equal(unsigned int *d1,unsigned int *d2); |
INLINE int ndl_equal(unsigned int *d1,unsigned int *d2); |
INLINE void ndl_copy(unsigned int *d1,unsigned int *d2); |
INLINE void ndl_copy(unsigned int *d1,unsigned int *d2); |
INLINE void ndl_add(unsigned int *d1,unsigned int *d2,unsigned int *d); |
INLINE void ndl_add(unsigned int *d1,unsigned int *d2,unsigned int *d); |
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INLINE void ndl_addto(unsigned int *d1,unsigned int *d2); |
INLINE void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d); |
INLINE void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d); |
INLINE int ndl_hash_value(unsigned int *d); |
INLINE int ndl_hash_value(unsigned int *d); |
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/* normal forms */ |
/* normal forms */ |
INLINE int nd_find_reducer(ND g); |
INLINE int nd_find_reducer(ND g); |
INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len); |
INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len); |
int nd_sp(int mod,ND_pairs p,ND *nf); |
int nd_sp(int mod,int trace,ND_pairs p,ND *nf); |
int nd_nf(int mod,ND g,int full,ND *nf); |
int nd_nf(int mod,ND g,NDV *ps,int full,ND *nf); |
int nd_nf_pbucket(int mod,ND g,int full,ND *nf); |
int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *nf); |
int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND *rp); |
int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND *rp); |
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/* finalizers */ |
/* finalizers */ |
Line 288 ND nd_add_q(ND p1,ND p2); |
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Line 290 ND nd_add_q(ND p1,ND p2); |
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INLINE int nd_length(ND p); |
INLINE int nd_length(ND p); |
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/* NDV functions */ |
/* NDV functions */ |
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ND weyl_ndv_mul_nm(int mod,NM m0,NDV p); |
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void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *tab,int tlen); |
void ndv_mul_c(int mod,NDV p,int mul); |
void ndv_mul_c(int mod,NDV p,int mul); |
void ndv_mul_c_q(NDV p,Q mul); |
void ndv_mul_c_q(NDV p,Q mul); |
void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos); |
void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos); |
ND ndv_mul_nm(int mod,NDV p,NM m0); |
ND ndv_mul_nm(int mod,NM m0,NDV p); |
void ndv_dehomogenize(NDV p,struct order_spec *spec); |
void ndv_dehomogenize(NDV p,struct order_spec *spec); |
void ndv_removecont(int mod,NDV p); |
void ndv_removecont(int mod,NDV p); |
void ndv_print(NDV p); |
void ndv_print(NDV p); |
Line 661 INLINE void ndl_add(unsigned int *d1,unsigned int *d2, |
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Line 665 INLINE void ndl_add(unsigned int *d1,unsigned int *d2, |
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#endif |
#endif |
} |
} |
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/* d1 += d2 */ |
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INLINE void ndl_addto(unsigned int *d1,unsigned int *d2) |
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{ |
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int i; |
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#if 1 |
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switch ( nd_wpd ) { |
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case 2: |
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TD(d1) += TD(d2); |
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d1[1] += d2[1]; |
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break; |
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case 3: |
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TD(d1) += TD(d2); |
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d1[1] += d2[1]; |
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d1[2] += d2[2]; |
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break; |
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default: |
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for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i]; |
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break; |
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} |
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#else |
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for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i]; |
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#endif |
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} |
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INLINE void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d) |
INLINE void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d) |
{ |
{ |
int i; |
int i; |
Line 1038 ND nd_add_q(ND p1,ND p2) |
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Line 1067 ND nd_add_q(ND p1,ND p2) |
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} |
} |
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/* ret=1 : success, ret=0 : overflow */ |
/* ret=1 : success, ret=0 : overflow */ |
int nd_nf(int mod,ND g,int full,ND *rp) |
int nd_nf(int mod,ND g,NDV *ps,int full,ND *rp) |
{ |
{ |
ND d; |
ND d; |
NM m,mrd,tail; |
NM m,mrd,tail; |
Line 1068 int nd_nf(int mod,ND g,int full,ND *rp) |
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Line 1097 int nd_nf(int mod,ND g,int full,ND *rp) |
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nd_free(g); nd_free(d); |
nd_free(g); nd_free(d); |
return 0; |
return 0; |
} |
} |
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p = ps[index]; |
if ( mod ) { |
if ( mod ) { |
p = nd_ps[index]; |
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c1 = invm(HCM(p),mod); c2 = mod-HCM(g); |
c1 = invm(HCM(p),mod); c2 = mod-HCM(g); |
DMAR(c1,c2,0,mod,c); CM(mul) = c; |
DMAR(c1,c2,0,mod,c); CM(mul) = c; |
} else { |
} else { |
p = nd_psq[index]; |
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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(g,cred); |
nd_mul_c_q(d,cred); nd_mul_c_q(g,cred); |
} |
} |
g = nd_add(mod,g,ndv_mul_nm(mod,p,mul)); |
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 && hmag && g && ((double)(p_mag((P)HCQ(g))) > hmag) ) { |
nd_removecont2(d,g); |
nd_removecont2(d,g); |
Line 1106 int nd_nf(int mod,ND g,int full,ND *rp) |
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Line 1134 int nd_nf(int mod,ND g,int full,ND *rp) |
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return 1; |
return 1; |
} |
} |
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int nd_nf_pbucket(int mod,ND g,int full,ND *rp) |
int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp) |
{ |
{ |
int hindex,index; |
int hindex,index; |
NDV p; |
NDV p; |
Line 1149 int nd_nf_pbucket(int mod,ND g,int full,ND *rp) |
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Line 1177 int nd_nf_pbucket(int mod,ND g,int full,ND *rp) |
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*rp = 0; |
*rp = 0; |
return 0; |
return 0; |
} |
} |
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p = ps[index]; |
if ( mod ) { |
if ( mod ) { |
p = nd_ps[index]; |
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c1 = invm(HCM(p),mod); c2 = mod-HCM(g); |
c1 = invm(HCM(p),mod); c2 = mod-HCM(g); |
DMAR(c1,c2,0,mod,c); CM(mul) = c; |
DMAR(c1,c2,0,mod,c); CM(mul) = c; |
} else { |
} else { |
p = nd_psq[index]; |
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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,cred); |
Line 1162 int nd_nf_pbucket(int mod,ND g,int full,ND *rp) |
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Line 1189 int nd_nf_pbucket(int mod,ND g,int full,ND *rp) |
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g = bucket->body[hindex]; |
g = bucket->body[hindex]; |
gmag = (double)p_mag((P)HCQ(g)); |
gmag = (double)p_mag((P)HCQ(g)); |
} |
} |
red = ndv_mul_nm(mod,p,mul); |
red = ndv_mul_nm(mod,mul,p); |
bucket->body[hindex] = nd_remove_head(g); |
bucket->body[hindex] = nd_remove_head(g); |
red = nd_remove_head(red); |
red = nd_remove_head(red); |
add_pbucket(mod,bucket,red); |
add_pbucket(mod,bucket,red); |
Line 1251 int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND |
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Line 1278 int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND |
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chsgnq(cg,&CQ(mul)); |
chsgnq(cg,&CQ(mul)); |
nd_mul_c_q(d,cred); nd_mul_c_q(g,cred); |
nd_mul_c_q(d,cred); nd_mul_c_q(g,cred); |
} |
} |
g = nd_add(mod,g,ndv_mul_nm(mod,p,mul)); |
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 && hmag && g && ((double)(p_mag((P)HCQ(g))) > hmag) ) { |
nd_removecont2(d,g); |
nd_removecont2(d,g); |
Line 1301 int nd_check_candidate(NODE input,NODE cand) |
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Line 1328 int nd_check_candidate(NODE input,NODE cand) |
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for ( t = input; t; t = NEXT(t) ) { |
for ( t = input; t; t = NEXT(t) ) { |
again: |
again: |
d = dptond(0,(DP)BDY(t)); |
d = dptond(0,(DP)BDY(t)); |
stat = nd_nf(0,d,0,&nf); |
stat = nd_nf(0,d,nd_ps,0,&nf); |
if ( !stat ) { |
if ( !stat ) { |
nd_reconstruct(0,0,0); |
nd_reconstruct(0,0,0); |
goto again; |
goto again; |
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sugar = SG(l); |
sugar = SG(l); |
fprintf(asir_out,"%d",sugar); |
fprintf(asir_out,"%d",sugar); |
} |
} |
stat = nd_sp(m,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(m,0,d); |
goto again; |
goto again; |
} |
} |
#if USE_GEOBUCKET |
#if USE_GEOBUCKET |
stat = m?nd_nf_pbucket(m,h,!Top,&nf):nd_nf(m,h,!Top,&nf); |
stat = m?nd_nf_pbucket(m,h,nd_ps,!Top,&nf):nd_nf(m,h,nd_ps,!Top,&nf); |
#else |
#else |
stat = nd_nf(m,h,!Top,&nf); |
stat = nd_nf(m,h,nd_ps,!Top,&nf); |
#endif |
#endif |
if ( !stat ) { |
if ( !stat ) { |
NEXT(l) = d; d = l; |
NEXT(l) = d; d = l; |
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} else if ( nf ) { |
} else if ( nf ) { |
if ( checkonly ) return 0; |
if ( checkonly ) return 0; |
printf("+"); fflush(stdout); |
printf("+"); fflush(stdout); |
nh = m?nd_newps(m,nf,0):nd_newps(m,0,nf); |
nh = nd_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); |
FREENDP(l); |
FREENDP(l); |
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FREENDP(l); |
FREENDP(l); |
} |
} |
} |
} |
if ( m ) |
for ( t = g; t; t = NEXT(t) ) BDY(t) = (pointer)nd_ps[(int)BDY(t)]; |
for ( t = g; t; t = NEXT(t) ) BDY(t) = (pointer)nd_ps[(int)BDY(t)]; |
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else |
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for ( t = g; t; t = NEXT(t) ) BDY(t) = (pointer)nd_psq[(int)BDY(t)]; |
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return g; |
return g; |
} |
} |
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sugar = SG(l); |
sugar = SG(l); |
fprintf(asir_out,"%d",sugar); |
fprintf(asir_out,"%d",sugar); |
} |
} |
stat = nd_sp(m,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(m,1,d); |
goto again; |
goto again; |
} |
} |
#if USE_GEOBUCKET |
#if USE_GEOBUCKET |
stat = nd_nf_pbucket(m,h,!Top,&nf); |
stat = nd_nf_pbucket(m,h,nd_ps,!Top,&nf); |
#else |
#else |
stat = nd_nf(m,h,!Top,&nf); |
stat = nd_nf(m,h,nd_ps,!Top,&nf); |
#endif |
#endif |
if ( !stat ) { |
if ( !stat ) { |
NEXT(l) = d; d = l; |
NEXT(l) = d; d = l; |
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goto again; |
goto again; |
} else if ( nf ) { |
} else if ( nf ) { |
/* overflow does not occur */ |
/* overflow does not occur */ |
nd_sp(0,l,&h); |
nd_sp(0,1,l,&h); |
nd_nf(0,h,!Top,&nfq); |
nd_nf(0,h,nd_ps_trace,!Top,&nfq); |
if ( nfq ) { |
if ( nfq ) { |
printf("+"); fflush(stdout); |
printf("+"); fflush(stdout); |
nh = nd_newps(m,nf,nfq); |
nh = nd_newps(m,nf,nfq); |
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FREENDP(l); |
FREENDP(l); |
} |
} |
for ( t = g; t; t = NEXT(t) ) |
for ( t = g; t; t = NEXT(t) ) |
BDY(t) = (pointer)nd_psq[(int)BDY(t)]; |
BDY(t) = (pointer)nd_ps_trace[(int)BDY(t)]; |
return g; |
return g; |
} |
} |
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Line 1610 NODE nd_reduceall(int m,NODE f) |
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Line 1634 NODE nd_reduceall(int m,NODE f) |
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for ( n = 0, t = f; t; t = NEXT(t), n++ ); |
for ( n = 0, t = f; t; t = NEXT(t), n++ ); |
ps = (NDV *)ALLOCA(n*sizeof(NDV)); |
ps = (NDV *)ALLOCA(n*sizeof(NDV)); |
bound = (unsigned int **)ALLOCA(n*sizeof(unsigned int *)); |
bound = (unsigned int **)ALLOCA(n*sizeof(unsigned int *)); |
for ( i = 0, t = f; i < n; i++, t = NEXT(t) ) { |
for ( i = 0, t = f; i < n; i++, t = NEXT(t) ) ps[i] = (NDV)BDY(t); |
ps[i] = (NDV)BDY(t); |
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bound[i] = ndv_compute_bound(ps[i]); |
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} |
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qsort(ps,n,sizeof(NDV),(int (*)(const void *,const void *))ndv_compare); |
qsort(ps,n,sizeof(NDV),(int (*)(const void *,const void *))ndv_compare); |
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for ( i = 0; i < n; i++ ) bound[i] = ndv_compute_bound(ps[i]); |
base.ps = (NDV *)ALLOCA((n-1)*sizeof(NDV)); |
base.ps = (NDV *)ALLOCA((n-1)*sizeof(NDV)); |
base.bound = (unsigned int **)ALLOCA((n-1)*sizeof(unsigned int *)); |
base.bound = (unsigned int **)ALLOCA((n-1)*sizeof(unsigned int *)); |
base.len = n-1; |
base.len = n-1; |
Line 1666 ND_pairs update_pairs( ND_pairs d, NODE /* of index */ |
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Line 1688 ND_pairs update_pairs( ND_pairs d, NODE /* of index */ |
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d1 = nd_newpairs(g,t); |
d1 = nd_newpairs(g,t); |
d1 = crit_M(d1); |
d1 = crit_M(d1); |
d1 = crit_F(d1); |
d1 = crit_F(d1); |
prev = 0; cur = head = d1; |
if ( do_weyl ) |
while ( cur ) { |
head = d1; |
if ( crit_2( cur->i1,cur->i2 ) ) { |
else { |
remove = cur; |
prev = 0; cur = head = d1; |
if ( !prev ) head = cur = NEXT(cur); |
while ( cur ) { |
else cur = NEXT(prev) = NEXT(cur); |
if ( crit_2( cur->i1,cur->i2 ) ) { |
FREENDP(remove); |
remove = cur; |
} else { |
if ( !prev ) head = cur = NEXT(cur); |
prev = cur; cur = NEXT(cur); |
else cur = NEXT(prev) = NEXT(cur); |
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FREENDP(remove); |
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} else { |
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prev = cur; cur = NEXT(cur); |
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} |
} |
} |
} |
} |
if ( !d ) |
if ( !d ) |
Line 1738 ND_pairs crit_B( ND_pairs d, int s ) |
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Line 1764 ND_pairs crit_B( ND_pairs d, int s ) |
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return head; |
return head; |
} |
} |
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/* XXX : check is necessary */ |
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ND_pairs crit_M( ND_pairs d1 ) |
ND_pairs crit_M( ND_pairs d1 ) |
{ |
{ |
ND_pairs e,d2,d3,dd,p; |
ND_pairs e,d2,d3,dd,p; |
Line 1899 int nd_newps(int mod,ND a,ND aq) |
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Line 1923 int nd_newps(int mod,ND a,ND aq) |
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RHist r; |
RHist r; |
NDV b; |
NDV b; |
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if ( aq ) { |
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/* trace lifting */ |
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if ( !rem(NM(HCQ(aq)),mod) ) |
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return -1; |
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} |
if ( nd_psn == nd_pslen ) { |
if ( nd_psn == nd_pslen ) { |
nd_pslen *= 2; |
nd_pslen *= 2; |
nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV)); |
nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV)); |
nd_psq = (NDV *)REALLOC((char *)nd_psq,nd_pslen*sizeof(NDV)); |
nd_ps_trace = (NDV *)REALLOC((char *)nd_ps_trace,nd_pslen*sizeof(NDV)); |
nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist)); |
nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist)); |
nd_bound = (unsigned int **) |
nd_bound = (unsigned int **) |
REALLOC((char *)nd_bound,nd_pslen*sizeof(unsigned int *)); |
REALLOC((char *)nd_bound,nd_pslen*sizeof(unsigned int *)); |
} |
} |
if ( a && aq ) { |
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/* trace lifting */ |
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if ( !rem(NM(HCQ(aq)),mod) ) |
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return -1; |
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} |
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NEWRHist(r); nd_psh[nd_psn] = r; |
NEWRHist(r); nd_psh[nd_psn] = r; |
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nd_removecont(mod,a); nd_ps[nd_psn] = ndtondv(mod,a); |
if ( aq ) { |
if ( aq ) { |
nd_removecont(0,aq); |
nd_removecont(0,aq); nd_ps_trace[nd_psn] = ndtondv(0,aq); |
nd_psq[nd_psn] = ndtondv(0,aq); |
nd_bound[nd_psn] = ndv_compute_bound(nd_ps_trace[nd_psn]); |
nd_bound[nd_psn] = ndv_compute_bound(nd_psq[nd_psn]); |
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SG(r) = SG(aq); ndl_copy(HDL(aq),DL(r)); |
SG(r) = SG(aq); ndl_copy(HDL(aq),DL(r)); |
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nd_free(a); nd_free(aq); |
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} else { |
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nd_bound[nd_psn] = ndv_compute_bound(nd_ps[nd_psn]); |
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SG(r) = SG(a); ndl_copy(HDL(a),DL(r)); |
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nd_free(a); |
} |
} |
if ( a ) { |
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nd_removecont(mod,a); |
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nd_ps[nd_psn] = ndtondv(mod,a); |
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if ( !aq ) { |
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nd_bound[nd_psn] = ndv_compute_bound(nd_ps[nd_psn]); |
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SG(r) = SG(a); ndl_copy(HDL(a),DL(r)); |
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} |
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} |
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nd_free(a); nd_free(aq); |
|
return nd_psn++; |
return nd_psn++; |
} |
} |
|
|
Line 1943 void nd_setup(int mod,int trace,NODE f) |
|
Line 1963 void nd_setup(int mod,int trace,NODE f) |
|
|
|
nd_psn = length(f); nd_pslen = 2*nd_psn; |
nd_psn = length(f); nd_pslen = 2*nd_psn; |
nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
nd_psq = (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 = (unsigned int **)MALLOC(nd_pslen*sizeof(unsigned int *)); |
nd_bound = (unsigned int **)MALLOC(nd_pslen*sizeof(unsigned int *)); |
for ( max = 0, i = 0, s = f; i < nd_psn; i++, s = NEXT(s) ) { |
for ( max = 0, i = 0, s = f; i < nd_psn; i++, s = NEXT(s) ) { |
Line 1969 void nd_setup(int mod,int trace,NODE f) |
|
Line 1989 void nd_setup(int mod,int trace,NODE f) |
|
a = dptondv(mod,(DP)BDY(f)); ndv_removecont(mod,a); |
a = dptondv(mod,(DP)BDY(f)); ndv_removecont(mod,a); |
SG(r) = HTD(a); ndl_copy(HDL(a),DL(r)); |
SG(r) = HTD(a); ndl_copy(HDL(a),DL(r)); |
|
|
|
nd_ps[i] = a; |
if ( trace ) { |
if ( trace ) { |
nd_ps[i] = a; |
|
a = dptondv(0,(DP)BDY(f)); ndv_removecont(0,a); |
a = dptondv(0,(DP)BDY(f)); ndv_removecont(0,a); |
nd_psq[i] = a; |
nd_ps_trace[i] = a; |
} else { |
|
if ( mod ) nd_ps[i] = a; |
|
else nd_psq[i] = a; |
|
} |
} |
nd_psh[i] = r; |
nd_psh[i] = r; |
} |
} |
Line 2145 void dltondl(int n,DL dl,unsigned int *r) |
|
Line 2162 void dltondl(int n,DL dl,unsigned int *r) |
|
for ( j = 0; j < l; j++ ) |
for ( j = 0; j < l; j++ ) |
r[j+1] = ndl_weight_mask(r,j); |
r[j+1] = ndl_weight_mask(r,j); |
} else { |
} else { |
if ( nd_isrlex ) |
for ( i = 0; i < n; i++ ) PUT_EXP(r,i,d[i]); |
for ( i = 0; i < n; i++ ) PUT_EXP(r,n-1-i,d[i]); |
|
else |
|
for ( i = 0; i < n; i++ ) PUT_EXP(r,i,d[i]); |
|
TD(r) = ndl_weight(r); |
TD(r) = ndl_weight(r); |
} |
} |
} |
} |
Line 2178 DL ndltodl(int n,unsigned int *ndl) |
|
Line 2192 DL ndltodl(int n,unsigned int *ndl) |
|
s += ord_l; |
s += ord_l; |
} |
} |
} else { |
} else { |
if ( nd_isrlex ) |
for ( i = 0; i < n; i++ ) d[i] = GET_EXP(ndl,i); |
for ( i = 0; i < n; i++ ) |
|
d[i] = GET_EXP(ndl,n-1-i); |
|
else |
|
for ( i = 0; i < n; i++ ) |
|
d[i] = GET_EXP(ndl,i); |
|
} |
} |
return dl; |
return dl; |
} |
} |
Line 2256 void ndl_print(unsigned int *dl) |
|
Line 2265 void ndl_print(unsigned int *dl) |
|
printf(s==n-1?"%d":"%d,",GET_EXP(dl,s)); |
printf(s==n-1?"%d":"%d,",GET_EXP(dl,s)); |
} |
} |
} else { |
} else { |
if ( nd_isrlex ) |
for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,i)); |
for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,n-1-i)); |
|
else |
|
for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,i)); |
|
} |
} |
printf(">>"); |
printf(">>"); |
} |
} |
Line 2562 void nd_setup_parameters() { |
|
Line 2568 void nd_setup_parameters() { |
|
nd_exporigin = nd_get_exporigin(nd_ord); |
nd_exporigin = nd_get_exporigin(nd_ord); |
nd_wpd = nd_exporigin+elen; |
nd_wpd = nd_exporigin+elen; |
nd_epos = (EPOS)MALLOC_ATOMIC(nd_nvar*sizeof(struct oEPOS)); |
nd_epos = (EPOS)MALLOC_ATOMIC(nd_nvar*sizeof(struct oEPOS)); |
for ( i = 0; i < nd_nvar; i++ ) { |
if ( nd_isrlex ) { |
nd_epos[i].i = nd_exporigin + i/nd_epw; |
for ( i = 0; i < nd_nvar; i++ ) { |
nd_epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe; |
nd_epos[i].i = nd_exporigin + (nd_nvar-1-i)/nd_epw; |
|
nd_epos[i].s = (nd_epw-((nd_nvar-1-i)%nd_epw)-1)*nd_bpe; |
|
} |
|
} else { |
|
for ( i = 0; i < nd_nvar; i++ ) { |
|
nd_epos[i].i = nd_exporigin + i/nd_epw; |
|
nd_epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe; |
|
} |
} |
} |
if ( nd_bpe < 32 ) { |
if ( nd_bpe < 32 ) { |
nd_mask0 = (1<<nd_bpe)-1; |
nd_mask0 = (1<<nd_bpe)-1; |
Line 2607 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d) |
|
Line 2620 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d) |
|
prev_ndp_free_list = _ndp_free_list; |
prev_ndp_free_list = _ndp_free_list; |
_nm_free_list = 0; |
_nm_free_list = 0; |
_ndp_free_list = 0; |
_ndp_free_list = 0; |
if ( mod != 0 ) |
for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_ps[i],obpe,oadv,oepos); |
for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_ps[i],obpe,oadv,oepos); |
if ( trace ) |
if ( !mod || trace ) |
for ( i = nd_psn-1; i >= 0; i-- ) |
for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_psq[i],obpe,oadv,oepos); |
ndv_realloc(nd_ps_trace[i],obpe,oadv,oepos); |
s0 = 0; |
s0 = 0; |
for ( t = d; t; t = NEXT(t) ) { |
for ( t = d; t; t = NEXT(t) ) { |
NEXTND_pairs(s0,s); |
NEXTND_pairs(s0,s); |
Line 2713 void ndl_reconstruct(int obpe,EPOS oepos,unsigned int |
|
Line 2726 void ndl_reconstruct(int obpe,EPOS oepos,unsigned int |
|
s += ord_l; |
s += ord_l; |
} |
} |
} else { |
} else { |
if ( nd_isrlex ) |
for ( i = 0; i < n; i++ ) { |
for ( i = 0; i < n; i++ ) { |
ei = GET_EXP_OLD(d,i); |
ei = GET_EXP_OLD(d,n-1-i); |
PUT_EXP(r,i,ei); |
PUT_EXP(r,n-1-i,ei); |
} |
} |
|
else |
|
for ( i = 0; i < n; i++ ) { |
|
ei = GET_EXP_OLD(d,i); |
|
PUT_EXP(r,i,ei); |
|
} |
|
} |
} |
} |
} |
|
|
Line 2747 ND nd_copy(ND p) |
|
Line 2754 ND nd_copy(ND p) |
|
} |
} |
} |
} |
|
|
int nd_sp(int mod,ND_pairs p,ND *rp) |
int nd_sp(int mod,int trace,ND_pairs p,ND *rp) |
{ |
{ |
NM m; |
NM m; |
NDV p1,p2; |
NDV p1,p2; |
Line 2755 int nd_sp(int mod,ND_pairs p,ND *rp) |
|
Line 2762 int nd_sp(int mod,ND_pairs p,ND *rp) |
|
unsigned int *lcm; |
unsigned int *lcm; |
int td; |
int td; |
|
|
if ( mod ) { |
if ( trace ) { |
p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2]; |
p1 = nd_ps_trace[p->i1]; p2 = nd_ps_trace[p->i2]; |
} else { |
} else { |
p1 = nd_psq[p->i1]; p2 = nd_psq[p->i2]; |
p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2]; |
} |
} |
lcm = LCM(p); |
lcm = LCM(p); |
NEWNM(m); |
NEWNM(m); |
CQ(m) = HCQ(p2); |
CQ(m) = HCQ(p2); |
ndl_sub(lcm,HDL(p1),DL(m)); |
ndl_sub(lcm,HDL(p1),DL(m)); |
if ( ndl_check_bound2(p->i1,DL(m)) ) return 0; |
if ( ndl_check_bound2(p->i1,DL(m)) ) |
t1 = ndv_mul_nm(mod,p1,m); |
return 0; |
|
t1 = ndv_mul_nm(mod,m,p1); |
if ( mod ) CM(m) = mod-HCM(p1); |
if ( mod ) CM(m) = mod-HCM(p1); |
else chsgnq(HCQ(p1),&CQ(m)); |
else chsgnq(HCQ(p1),&CQ(m)); |
ndl_sub(lcm,HDL(p2),DL(m)); |
ndl_sub(lcm,HDL(p2),DL(m)); |
Line 2773 int nd_sp(int mod,ND_pairs p,ND *rp) |
|
Line 2781 int nd_sp(int mod,ND_pairs p,ND *rp) |
|
nd_free(t1); |
nd_free(t1); |
return 0; |
return 0; |
} |
} |
t2 = ndv_mul_nm(mod,p2,m); |
t2 = ndv_mul_nm(mod,m,p2); |
*rp = nd_add(mod,t1,t2); |
*rp = nd_add(mod,t1,t2); |
FREENM(m); |
FREENM(m); |
return 1; |
return 1; |
Line 2804 void ndv_mul_c_q(NDV p,Q mul) |
|
Line 2812 void ndv_mul_c_q(NDV p,Q mul) |
|
} |
} |
} |
} |
|
|
ND ndv_mul_nm(int mod,NDV p,NM m0) |
ND weyl_ndv_mul_nm(int mod,NM m0,NDV p) { |
|
int n2,i,j,l,n,tlen; |
|
unsigned int *d0; |
|
NM *tab,*psum; |
|
ND s,r; |
|
NM t; |
|
NMV m1; |
|
|
|
if ( !p ) return 0; |
|
n = NV(p); n2 = n>>1; |
|
d0 = DL(m0); |
|
l = LEN(p); |
|
for ( i = 0, tlen = 1; i < n2; i++ ) tlen *= (GET_EXP(d0,n2+i)+1); |
|
tab = (NM *)ALLOCA(tlen*sizeof(NM)); |
|
psum = (NM *)ALLOCA(tlen*sizeof(NM)); |
|
for ( i = 0; i < tlen; i++ ) psum[i] = 0; |
|
m1 = (NMV)(((char *)BDY(p))+nmv_adv*(l-1)); |
|
for ( i = l-1; i >= 0; i--, NMV_PREV(m1) ) { |
|
/* m0(NM) * m1(NMV) => tab(NM) */ |
|
weyl_mul_nm_nmv(n,mod,m0,m1,tab,tlen); |
|
for ( j = 0; j < tlen; j++ ) { |
|
if ( tab[j] ) { |
|
NEXT(tab[j]) = psum[j]; psum[j] = tab[j]; |
|
} |
|
} |
|
} |
|
for ( i = tlen-1, r = 0; i >= 0; i-- ) |
|
if ( psum[i] ) { |
|
for ( j = 0, t = psum[i]; t; t = NEXT(t), j++ ); |
|
MKND(n,psum[i],j,s); |
|
r = nd_add(mod,r,s); |
|
} |
|
if ( r ) SG(r) = SG(p)+TD(d0); |
|
return r; |
|
} |
|
|
|
/* product of monomials */ |
|
/* XXX block order is not handled correctly */ |
|
|
|
void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *tab,int tlen) |
{ |
{ |
|
int i,n2,j,s,curlen,homo,h,a,b,k,l,u,min; |
|
unsigned int *d0,*d1,*d,*dt,*ctab; |
|
Q *ctab_q; |
|
Q q,q1; |
|
unsigned int c0,c1,c; |
|
NM *p; |
|
NM m,t; |
|
|
|
for ( i = 0; i < tlen; i++ ) tab[i] = 0; |
|
if ( !m0 || !m1 ) return; |
|
d0 = DL(m0); d1 = DL(m1); n2 = n>>1; |
|
NEWNM(m); d = DL(m); |
|
if ( mod ) { |
|
c0 = CM(m0); c1 = CM(m1); DMAR(c0,c1,0,mod,c); CM(m) = c; |
|
} else |
|
mulq(CQ(m0),CQ(m1),&CQ(m)); |
|
for ( i = 0; i < nd_wpd; i++ ) d[i] = 0; |
|
homo = n&1 ? 1 : 0; |
|
if ( homo ) { |
|
/* offset of h-degree */ |
|
h = GET_EXP(d0,n-1)+GET_EXP(d1,n-1); |
|
PUT_EXP(DL(m),n-1,h); |
|
TD(DL(m)) = h; |
|
/* XXX other weights */ |
|
} |
|
tab[0] = m; |
|
curlen = 1; |
|
NEWNM(m); d = DL(m); |
|
for ( i = 0; i < n2; i++ ) { |
|
a = GET_EXP(d0,i); b = GET_EXP(d1,n2+i); |
|
k = GET_EXP(d0,n2+i); l = GET_EXP(d1,i); |
|
/* xi^a*(Di^k*xi^l)*Di^b */ |
|
a += l; b += k; |
|
s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); |
|
if ( !k || !l ) { |
|
for ( j = 0; j < curlen; j++ ) |
|
if ( t = tab[j] ) { |
|
dt = DL(t); |
|
PUT_EXP(dt,i,a); PUT_EXP(dt,n2+i,b); TD(dt) += s; |
|
/* XXX other weights */ |
|
} |
|
curlen *= k+1; |
|
continue; |
|
} |
|
min = MIN(k,l); |
|
if ( mod ) { |
|
ctab = (unsigned int *)ALLOCA((min+1)*sizeof(unsigned int)); |
|
mkwcm(k,l,mod,ctab); |
|
} else { |
|
ctab_q = (Q *)ALLOCA((min+1)*sizeof(Q)); |
|
mkwc(k,l,ctab_q); |
|
} |
|
p = tab+curlen; |
|
for ( j = 1; j <= min; j++ ) { |
|
for ( u = 0; u < nd_wpd; u++ ) d[u] = 0; |
|
PUT_EXP(d,i,a-j); PUT_EXP(d,n2+i,b-j); |
|
h = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i); |
|
if ( homo ) { |
|
TD(d) = s; |
|
PUT_EXP(d,n-1,s-h); |
|
} else TD(d) = h; |
|
/* XXX other weights */ |
|
if ( mod ) c = ctab[j]; |
|
else q = ctab_q[j]; |
|
for ( u = 0; u < curlen; u++, p++ ) { |
|
if ( tab[u] ) { |
|
NEWNM(t); |
|
ndl_add(DL(tab[u]),d,DL(t)); |
|
if ( mod ) { |
|
c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(t) = c1; |
|
} else |
|
mulq(CQ(tab[u]),q,&CQ(t)); |
|
*p = t; |
|
} |
|
} |
|
} |
|
/* destructive for j = 0 */ |
|
for ( u = 0; u < nd_wpd; u++ ) d[u] = 0; |
|
PUT_EXP(d,i,a); PUT_EXP(d,n2+i,b); |
|
h = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); |
|
if ( homo ) { |
|
TD(d) = s; |
|
PUT_EXP(d,n-1,s-h); |
|
} else TD(d) = h; |
|
/* XXX other weights */ |
|
if ( mod ) c = ctab[0]; |
|
else q = ctab_q[0]; |
|
p = tab; |
|
for ( u = 0; u < curlen; u++, p++ ) { |
|
if ( tab[u] ) { |
|
ndl_addto(DL(tab[u]),d); |
|
if ( mod ) { |
|
c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(tab[u]) = c1; |
|
} else { |
|
mulq(CQ(tab[u]),q,&q1); CQ(tab[u]) = q1; |
|
} |
|
} |
|
} |
|
curlen *= k+1; |
|
} |
|
FREENM(m); |
|
} |
|
|
|
ND ndv_mul_nm(int mod,NM m0,NDV p) |
|
{ |
NM mr,mr0; |
NM mr,mr0; |
NMV m; |
NMV m; |
unsigned int *d,*dt,*dm; |
unsigned int *d,*dt,*dm; |
Line 2814 ND ndv_mul_nm(int mod,NDV p,NM m0) |
|
Line 2966 ND ndv_mul_nm(int mod,NDV p,NM m0) |
|
ND r; |
ND r; |
|
|
if ( !p ) return 0; |
if ( !p ) return 0; |
|
else if ( do_weyl ) |
|
return weyl_ndv_mul_nm(mod,m0,p); |
else { |
else { |
n = NV(p); m = BDY(p); |
n = NV(p); m = BDY(p); |
d = DL(m0); |
d = DL(m0); |
Line 2850 void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos) |
|
Line 3004 void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos) |
|
int len,i,k; |
int len,i,k; |
|
|
#define NMV_OPREV(m) (m = (NMV)(((char *)m)-oadv)) |
#define NMV_OPREV(m) (m = (NMV)(((char *)m)-oadv)) |
#define NMV_PREV(m) (m = (NMV)(((char *)m)-nmv_adv)) |
|
|
|
if ( p ) { |
if ( p ) { |
m = BDY(p); len = LEN(p); |
m = BDY(p); len = LEN(p); |