version 1.219, 2014/08/19 06:35:01 |
version 1.226, 2016/04/05 04:21:18 |
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.218 2014/02/24 01:45:28 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.225 2016/03/31 02:42:43 noro Exp $ */ |
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#include "nd.h" |
#include "nd.h" |
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Line 8 int diag_period = 6; |
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Line 8 int diag_period = 6; |
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int weight_check = 1; |
int weight_check = 1; |
int (*ndl_compare_function)(UINT *a1,UINT *a2); |
int (*ndl_compare_function)(UINT *a1,UINT *a2); |
int nd_dcomp; |
int nd_dcomp; |
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int nd_rref2; |
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; |
Line 55 static int nd_found,nd_create,nd_notfirst; |
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Line 56 static int nd_found,nd_create,nd_notfirst; |
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static int nmv_adv; |
static int nmv_adv; |
static int nd_demand; |
static int nd_demand; |
static int nd_module,nd_ispot,nd_mpos,nd_pot_nelim; |
static int nd_module,nd_ispot,nd_mpos,nd_pot_nelim; |
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static int nd_module_rank,nd_poly_weight_len; |
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static int *nd_poly_weight,*nd_module_weight; |
static NODE nd_tracelist; |
static NODE nd_tracelist; |
static NODE nd_alltracelist; |
static NODE nd_alltracelist; |
static int nd_gentrace,nd_gensyz,nd_nora,nd_newelim,nd_intersect; |
static int nd_gentrace,nd_gensyz,nd_nora,nd_newelim,nd_intersect; |
Line 87 NDV ndvgztondv(NDV p); |
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Line 90 NDV ndvgztondv(NDV p); |
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ND ndtondgz(ND p); |
ND ndtondgz(ND p); |
ND ndgztond(ND p); |
ND ndgztond(ND p); |
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void Pdp_set_weight(NODE,VECT *); |
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void Pox_cmo_rpc(NODE,Obj *); |
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extern int Denominator,DP_Multiple; |
extern int Denominator,DP_Multiple; |
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#define BLEN (8*sizeof(unsigned long)) |
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typedef struct matrix { |
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int row,col; |
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unsigned long **a; |
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} *matrix; |
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void nd_free_private_storage() |
void nd_free_private_storage() |
{ |
{ |
_nm_free_list = 0; |
_nm_free_list = 0; |
Line 109 void _NM_alloc() |
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Line 123 void _NM_alloc() |
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} |
} |
} |
} |
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matrix alloc_matrix(int row,int col) |
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{ |
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unsigned long **a; |
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int i,len,blen; |
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matrix mat; |
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mat = (matrix)MALLOC(sizeof(struct matrix)); |
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mat->row = row; |
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mat->col = col; |
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mat->a = a = (unsigned long **)MALLOC(row*sizeof(unsigned long *)); |
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return mat; |
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} |
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void _ND_alloc() |
void _ND_alloc() |
{ |
{ |
ND p; |
ND p; |
Line 621 int ndl_ww_lex_compare(UINT *d1,UINT *d2) |
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Line 649 int ndl_ww_lex_compare(UINT *d1,UINT *d2) |
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return ndl_lex_compare(d1,d2); |
return ndl_lex_compare(d1,d2); |
} |
} |
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int ndl_module_weight_compare(UINT *d1,UINT *d2) |
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{ |
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int s,j; |
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if ( nd_nvar != nd_poly_weight_len ) |
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error("invalid module weight : the length of polynomial weight != the number of variables"); |
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s = 0; |
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for ( j = 0; j < nd_nvar; j++ ) |
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s += (GET_EXP(d1,j)-GET_EXP(d2,j))*nd_poly_weight[j]; |
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if ( MPOS(d1) >= 1 && MPOS(d2) >= 1 ) { |
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s += nd_module_weight[MPOS(d1)-1]-nd_module_weight[MPOS(d2)-1]; |
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} |
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if ( s > 0 ) return 1; |
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else if ( s < 0 ) return -1; |
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else return 0; |
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} |
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int ndl_module_grlex_compare(UINT *d1,UINT *d2) |
int ndl_module_grlex_compare(UINT *d1,UINT *d2) |
{ |
{ |
int i,c; |
int i,c; |
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if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
if ( nd_ispot ) { |
if ( nd_ispot ) { |
if ( nd_pot_nelim && MPOS(d1)>=nd_pot_nelim+1 && MPOS(d2) >= nd_pot_nelim+1 ) { |
if ( nd_pot_nelim && MPOS(d1)>=nd_pot_nelim+1 && MPOS(d2) >= nd_pot_nelim+1 ) { |
if ( TD(d1) > TD(d2) ) return 1; |
if ( TD(d1) > TD(d2) ) return 1; |
Line 651 int ndl_module_glex_compare(UINT *d1,UINT *d2) |
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Line 697 int ndl_module_glex_compare(UINT *d1,UINT *d2) |
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{ |
{ |
int i,c; |
int i,c; |
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if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
if ( nd_ispot ) { |
if ( nd_ispot ) { |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
Line 669 int ndl_module_lex_compare(UINT *d1,UINT *d2) |
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Line 716 int ndl_module_lex_compare(UINT *d1,UINT *d2) |
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{ |
{ |
int i,c; |
int i,c; |
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if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
if ( nd_ispot ) { |
if ( nd_ispot ) { |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
Line 685 int ndl_module_block_compare(UINT *d1,UINT *d2) |
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Line 733 int ndl_module_block_compare(UINT *d1,UINT *d2) |
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{ |
{ |
int i,c; |
int i,c; |
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if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
if ( nd_ispot ) { |
if ( nd_ispot ) { |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
Line 701 int ndl_module_matrix_compare(UINT *d1,UINT *d2) |
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Line 750 int ndl_module_matrix_compare(UINT *d1,UINT *d2) |
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{ |
{ |
int i,c; |
int i,c; |
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if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
if ( nd_ispot ) { |
if ( nd_ispot ) { |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
Line 717 int ndl_module_composite_compare(UINT *d1,UINT *d2) |
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Line 767 int ndl_module_composite_compare(UINT *d1,UINT *d2) |
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{ |
{ |
int i,c; |
int i,c; |
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if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
if ( nd_ispot ) { |
if ( nd_ispot ) { |
if ( MPOS(d1) > MPOS(d2) ) return 1; |
if ( MPOS(d1) > MPOS(d2) ) return 1; |
else if ( MPOS(d1) < MPOS(d2) ) return -1; |
else if ( MPOS(d1) < MPOS(d2) ) return -1; |
Line 5223 NODE ndv_reducebase(NODE x,int *perm) |
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Line 5274 NODE ndv_reducebase(NODE x,int *perm) |
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void nd_init_ord(struct order_spec *ord) |
void nd_init_ord(struct order_spec *ord) |
{ |
{ |
nd_module = (ord->id >= 256); |
nd_module = (ord->id >= 256); |
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if ( nd_module ) { |
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nd_dcomp = -1; |
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nd_ispot = ord->ispot; |
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nd_pot_nelim = ord->pot_nelim; |
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nd_poly_weight_len = ord->nv; |
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nd_poly_weight = ord->top_weight; |
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nd_module_rank = ord->module_rank; |
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nd_module_weight = ord->module_top_weight; |
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} |
nd_matrix = 0; |
nd_matrix = 0; |
nd_matrix_len = 0; |
nd_matrix_len = 0; |
switch ( ord->id ) { |
switch ( ord->id ) { |
Line 5279 void nd_init_ord(struct order_spec *ord) |
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Line 5339 void nd_init_ord(struct order_spec *ord) |
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/* module order */ |
/* module order */ |
case 256: |
case 256: |
nd_ispot = ord->ispot; |
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nd_pot_nelim = ord->pot_nelim; |
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nd_dcomp = -1; |
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switch ( ord->ord.simple ) { |
switch ( ord->ord.simple ) { |
case 0: |
case 0: |
nd_isrlex = 1; |
nd_isrlex = 1; |
Line 5301 void nd_init_ord(struct order_spec *ord) |
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Line 5358 void nd_init_ord(struct order_spec *ord) |
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break; |
break; |
case 257: |
case 257: |
/* block order */ |
/* block order */ |
nd_ispot = ord->ispot; |
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nd_pot_nelim = ord->pot_nelim; |
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nd_dcomp = -1; |
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nd_isrlex = 0; |
nd_isrlex = 0; |
ndl_compare_function = ndl_module_block_compare; |
ndl_compare_function = ndl_module_block_compare; |
break; |
break; |
case 258: |
case 258: |
/* matrix order */ |
/* matrix order */ |
nd_ispot = ord->ispot; |
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nd_pot_nelim = ord->pot_nelim; |
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nd_dcomp = -1; |
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nd_isrlex = 0; |
nd_isrlex = 0; |
nd_matrix_len = ord->ord.matrix.row; |
nd_matrix_len = ord->ord.matrix.row; |
nd_matrix = ord->ord.matrix.matrix; |
nd_matrix = ord->ord.matrix.matrix; |
Line 5319 void nd_init_ord(struct order_spec *ord) |
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Line 5370 void nd_init_ord(struct order_spec *ord) |
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break; |
break; |
case 259: |
case 259: |
/* composite order */ |
/* composite order */ |
nd_ispot = ord->ispot; |
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nd_pot_nelim = ord->pot_nelim; |
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nd_dcomp = -1; |
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nd_isrlex = 0; |
nd_isrlex = 0; |
nd_worb_len = ord->ord.composite.length; |
nd_worb_len = ord->ord.composite.length; |
nd_worb = ord->ord.composite.w_or_b; |
nd_worb = ord->ord.composite.w_or_b; |
Line 5506 int nd_to_vect_q(UINT *s0,int n,ND d,Q *r) |
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Line 5554 int nd_to_vect_q(UINT *s0,int n,ND d,Q *r) |
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return i; |
return i; |
} |
} |
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unsigned long *nd_to_vect_2(UINT *s0,int n,int *s0hash,ND p) |
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{ |
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NM m; |
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unsigned long *v; |
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int i,j,h,size; |
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UINT *s,*t; |
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size = sizeof(unsigned long)*(n+BLEN-1)/BLEN; |
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v = (unsigned long *)MALLOC_ATOMIC_IGNORE_OFF_PAGE(size); |
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bzero(v,size); |
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for ( i = j = 0, s = s0, m = BDY(p); m; j++, m = NEXT(m) ) { |
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t = DL(m); |
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h = ndl_hash_value(t); |
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for ( ; h != s0hash[i] || !ndl_equal(t,s); s += nd_wpd, i++ ); |
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v[i/BLEN] |= 1L <<(i%BLEN); |
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} |
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return v; |
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} |
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int nd_nm_to_vect_2(UINT *s0,int n,int *s0hash,NDV p,NM m,unsigned long *v) |
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{ |
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NMV mr; |
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UINT *d,*t,*s; |
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int i,j,len,h,head; |
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d = DL(m); |
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len = LEN(p); |
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t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
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for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) { |
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ndl_add(d,DL(mr),t); |
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h = ndl_hash_value(t); |
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for ( ; h != s0hash[i] || !ndl_equal(t,s); s += nd_wpd, i++ ); |
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if ( j == 0 ) head = i; |
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v[i/BLEN] |= 1L <<(i%BLEN); |
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} |
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return head; |
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} |
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Q *nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair) |
Q *nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair) |
{ |
{ |
NM m; |
NM m; |
Line 5905 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
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Line 5991 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
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} |
} |
} |
} |
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NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect) |
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{ |
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int j,k,len; |
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UINT *p; |
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NDV r; |
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NMV mr0,mr; |
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for ( j = 0, len = 0; j < col; j++ ) if ( vect[j/BLEN] & (1L<<(j%BLEN)) ) len++; |
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if ( !len ) return 0; |
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else { |
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mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len); |
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mr = mr0; |
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p = s0vect; |
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for ( j = 0; j < col; j++, p += nd_wpd ) |
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if ( vect[j/BLEN] & (1L<<(j%BLEN)) ) { |
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ndl_copy(p,DL(mr)); CM(mr) = 1; NMV_ADV(mr); |
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} |
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MKNDV(nd_nvar,mr0,len,r); |
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return r; |
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} |
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} |
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/* for preprocessed vector */ |
/* for preprocessed vector */ |
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NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead,UINT *s0vect) |
NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead,UINT *s0vect) |
Line 6378 NODE nd_f4_pseudo_trace(int m,int **indp) |
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Line 6486 NODE nd_f4_pseudo_trace(int m,int **indp) |
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return g; |
return g; |
} |
} |
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int rref(matrix mat,int *sugar) |
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{ |
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int row,col,i,j,k,l,s,wcol,wj; |
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unsigned long bj; |
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unsigned long **a; |
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unsigned long *ai,*ak,*as,*t; |
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int *pivot; |
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row = mat->row; |
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col = mat->col; |
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a = mat->a; |
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wcol = (col+BLEN-1)/BLEN; |
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pivot = (int *)MALLOC_ATOMIC(row*sizeof(int)); |
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i = 0; |
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for ( j = 0; j < col; j++ ) { |
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wj = j/BLEN; bj = 1L<<(j%BLEN); |
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for ( k = i; k < row; k++ ) |
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if ( a[k][wj] & bj ) break; |
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if ( k == row ) continue; |
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pivot[i] = j; |
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if ( k != i ) { |
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t = a[i]; a[i] = a[k]; a[k] = t; |
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s = sugar[i]; sugar[i] = sugar[k]; sugar[k] = s; |
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} |
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ai = a[i]; |
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for ( k = i+1; k < row; k++ ) { |
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ak = a[k]; |
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if ( ak[wj] & bj ) { |
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for ( l = wj; l < wcol; l++ ) |
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ak[l] ^= ai[l]; |
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sugar[k] = MAX(sugar[k],sugar[i]); |
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} |
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} |
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i++; |
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} |
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for ( k = i-1; k >= 0; k-- ) { |
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j = pivot[k]; wj = j/BLEN; bj = 1L<<(j%BLEN); |
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ak = a[k]; |
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for ( s = 0; s < k; s++ ) { |
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as = a[s]; |
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if ( as[wj] & bj ) { |
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for ( l = wj; l < wcol; l++ ) |
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as[l] ^= ak[l]; |
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sugar[s] = MAX(sugar[s],sugar[k]); |
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} |
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} |
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} |
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return i; |
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} |
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void print_matrix(matrix mat) |
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{ |
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int row,col,i,j; |
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unsigned long *ai; |
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row = mat->row; |
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col = mat->col; |
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printf("%d x %d\n",row,col); |
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for ( i = 0; i < row; i++ ) { |
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ai = mat->a[i]; |
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for ( j = 0; j < col; j++ ) { |
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if ( ai[j/BLEN] & (1L<<(j%BLEN)) ) putchar('1'); |
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else putchar('0'); |
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} |
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putchar('\n'); |
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} |
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} |
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NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect); |
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void red_by_vect_2(matrix mat,int *sugar,unsigned long *v,int rhead,int rsugar) |
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{ |
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int row,col,wcol,wj,i,j; |
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unsigned long bj; |
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unsigned long *ai; |
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unsigned long **a; |
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int len; |
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int *pos; |
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row = mat->row; |
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col = mat->col; |
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wcol = (col+BLEN-1)/BLEN; |
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pos = (int *)ALLOCA(wcol*sizeof(int)); |
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bzero(pos,wcol*sizeof(int)); |
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for ( i = j = 0; i < wcol; i++ ) |
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if ( v[i] ) pos[j++] = i;; |
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len = j; |
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wj = rhead/BLEN; |
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bj = 1L<<rhead%BLEN; |
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a = mat->a; |
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for ( i = 0; i < row; i++ ) { |
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ai = a[i]; |
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if ( ai[wj]&bj ) { |
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for ( j = 0; j < len; j++ ) |
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ai[pos[j]] ^= v[pos[j]]; |
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sugar[i] = MAX(sugar[i],rsugar); |
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} |
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} |
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} |
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NODE nd_f4_red_2(ND_pairs sp0,UINT *s0vect,int col,NODE rp0,ND_pairs *nz) |
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{ |
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int nsp,nred,i,i0,k,rank,row; |
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NODE r0,rp; |
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ND_pairs sp; |
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ND spol; |
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NM_ind_pair rt; |
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int *s0hash; |
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UINT *s; |
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int *pivot,*sugar,*head; |
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matrix mat; |
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NM m; |
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NODE r; |
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struct oEGT eg0,eg1,eg2,eg_elim1,eg_elim2; |
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int rhead,rsugar,size; |
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unsigned long *v; |
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get_eg(&eg0); |
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init_eg(&eg_search); |
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for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
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nred = length(rp0); |
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mat = alloc_matrix(nsp,col); |
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s0hash = (int *)ALLOCA(col*sizeof(int)); |
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for ( i = 0, s = s0vect; i < col; i++, s += nd_wpd ) |
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s0hash[i] = ndl_hash_value(s); |
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sugar = (int *)ALLOCA(nsp*sizeof(int)); |
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for ( i = 0, sp = sp0; sp; sp = NEXT(sp) ) { |
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nd_sp(2,0,sp,&spol); |
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if ( spol ) { |
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mat->a[i] = nd_to_vect_2(s0vect,col,s0hash,spol); |
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sugar[i] = SG(spol); |
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i++; |
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} |
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} |
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mat->row = i; |
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fprintf(asir_out,"%dx%d,",mat->row,mat->col); fflush(asir_out); |
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size = ((col+BLEN-1)/BLEN)*sizeof(unsigned long); |
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v = CALLOC((col+BLEN-1)/BLEN,sizeof(unsigned long)); |
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for ( rp = rp0, i = 0; rp; rp = NEXT(rp), i++ ) { |
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rt = (NM_ind_pair)BDY(rp); |
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bzero(v,size); |
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rhead = nd_nm_to_vect_2(s0vect,col,s0hash,nd_ps[rt->index],rt->mul,v); |
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rsugar = SG(nd_ps[rt->index])+TD(DL(rt->mul)); |
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red_by_vect_2(mat,sugar,v,rhead,rsugar); |
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} |
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get_eg(&eg1); |
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init_eg(&eg_elim1); add_eg(&eg_elim1,&eg0,&eg1); |
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rank = rref(mat,sugar); |
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for ( i = 0, r0 = 0; i < rank; i++ ) { |
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NEXTNODE(r0,r); |
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BDY(r) = (pointer)vect_to_ndv_2(mat->a[i],col,s0vect); |
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SG((NDV)BDY(r)) = sugar[i]; |
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} |
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if ( r0 ) NEXT(r) = 0; |
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get_eg(&eg2); |
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init_eg(&eg_elim2); add_eg(&eg_elim2,&eg1,&eg2); |
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if ( DP_Print ) { |
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fprintf(asir_out,"elim1=%fsec,elim2=%fsec\n", |
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eg_elim1.exectime+eg_elim1.gctime,eg_elim2.exectime+eg_elim2.gctime); |
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fflush(asir_out); |
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} |
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return r0; |
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} |
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|
|
|
NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz) |
NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz) |
{ |
{ |
IndArray *imat; |
IndArray *imat; |
Line 6389 NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0ve |
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Line 6665 NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0ve |
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UINT *s; |
UINT *s; |
int *s0hash; |
int *s0hash; |
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|
|
if ( m == 2 && nd_rref2 ) |
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return nd_f4_red_2(sp0,s0vect,col,rp0,nz); |
|
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init_eg(&eg_search); |
init_eg(&eg_search); |
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
nred = length(rp0); |
nred = length(rp0); |
Line 7384 void nd_det(int mod,MAT f,P *rp) |
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Line 7663 void nd_det(int mod,MAT f,P *rp) |
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if ( mod ) ndv_mod(mod,d); |
if ( mod ) ndv_mod(mod,d); |
chsgnq(ONE,&mone); |
chsgnq(ONE,&mone); |
for ( j = 0, sgn = 1; j < n; j++ ) { |
for ( j = 0, sgn = 1; j < n; j++ ) { |
if ( DP_Print ) fprintf(stderr,".",j); |
if ( DP_Print ) { |
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fprintf(stderr,".",j); |
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} |
for ( i = j; i < n && !dm[i][j]; i++ ); |
for ( i = j; i < n && !dm[i][j]; i++ ); |
if ( i == n ) { |
if ( i == n ) { |
*rp = 0; |
*rp = 0; |
Line 7443 void nd_det(int mod,MAT f,P *rp) |
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Line 7724 void nd_det(int mod,MAT f,P *rp) |
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} |
} |
d = mjj; |
d = mjj; |
} |
} |
if ( DP_Print ) fprintf(stderr,"\n",k); |
if ( DP_Print ) { |
|
fprintf(stderr,"\n",k); |
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} |
if ( sgn < 0 ) |
if ( sgn < 0 ) |
if ( mod ) |
if ( mod ) |
ndv_mul_c(mod,d,mod-1); |
ndv_mul_c(mod,d,mod-1); |