version 1.73, 2003/09/17 08:37:49 |
version 1.103, 2004/09/15 06:06:42 |
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.72 2003/09/17 08:14:26 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.102 2004/09/15 01:43:33 noro Exp $ */ |
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#include "ca.h" |
#include "nd.h" |
#include "inline.h" |
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#include <time.h> |
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#if defined(__GNUC__) |
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#define INLINE inline |
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#elif defined(VISUAL) |
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#define INLINE __inline |
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#else |
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#define INLINE |
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#endif |
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typedef unsigned int UINT; |
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#define USE_GEOBUCKET 1 |
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#define USE_UNROLL 1 |
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#define REDTAB_LEN 32003 |
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/* GeoBucket for polynomial addition */ |
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typedef struct oPGeoBucket { |
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int m; |
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struct oND *body[32]; |
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} *PGeoBucket; |
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/* distributed polynomial; linked list rep. */ |
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typedef struct oND { |
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struct oNM *body; |
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int nv; |
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int len; |
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int sugar; |
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} *ND; |
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/* distributed polynomial; array rep. */ |
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typedef struct oNDV { |
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struct oNMV *body; |
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int nv; |
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int len; |
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int sugar; |
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} *NDV; |
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typedef union oNDC { |
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int m; |
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Q z; |
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P p; |
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} *NDC; |
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/* monomial; linked list rep. */ |
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typedef struct oNM { |
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struct oNM *next; |
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union oNDC c; |
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UINT dl[1]; |
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} *NM; |
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/* monomial; array rep. */ |
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typedef struct oNMV { |
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union oNDC c; |
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UINT dl[1]; |
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} *NMV; |
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/* history of reducer */ |
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typedef struct oRHist { |
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struct oRHist *next; |
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int index; |
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int sugar; |
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UINT dl[1]; |
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} *RHist; |
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/* S-pair list */ |
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typedef struct oND_pairs { |
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struct oND_pairs *next; |
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int i1,i2; |
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int sugar; |
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UINT lcm[1]; |
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} *ND_pairs; |
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/* index and shift count for each exponent */ |
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typedef struct oEPOS { |
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int i; /* index */ |
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int s; /* shift */ |
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} *EPOS; |
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typedef struct oBlockMask { |
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int n; |
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struct order_pair *order_pair; |
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UINT **mask; |
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} *BlockMask; |
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typedef struct oBaseSet { |
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int len; |
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NDV *ps; |
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UINT **bound; |
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} *BaseSet; |
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typedef struct oNM_ind_pair |
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{ |
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NM mul; |
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int index; |
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} *NM_ind_pair; |
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typedef struct oIndArray |
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{ |
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char width; |
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int head; |
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union { |
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unsigned char *c; |
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unsigned short *s; |
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unsigned int *i; |
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} index; |
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} *IndArray; |
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int (*ndl_compare_function)(UINT *a1,UINT *a2); |
int (*ndl_compare_function)(UINT *a1,UINT *a2); |
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int nd_dcomp; |
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NM _nm_free_list; |
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ND _nd_free_list; |
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ND_pairs _ndp_free_list; |
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#if 0 |
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static int ndv_alloc; |
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#endif |
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#if 1 |
static int nd_f4_nsp=0x7fffffff; |
static int nd_f4_nsp=0x7fffffff; |
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#else |
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static int nd_f4_nsp=50; |
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#endif |
static double nd_scale=2; |
static double nd_scale=2; |
static UINT **nd_bound; |
static UINT **nd_bound; |
static struct order_spec *nd_ord; |
static struct order_spec *nd_ord; |
Line 126 static int nd_epw,nd_bpe,nd_wpd,nd_exporigin; |
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Line 27 static int nd_epw,nd_bpe,nd_wpd,nd_exporigin; |
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static UINT nd_mask[32]; |
static UINT nd_mask[32]; |
static UINT nd_mask0,nd_mask1; |
static UINT nd_mask0,nd_mask1; |
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static NM _nm_free_list; |
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static ND _nd_free_list; |
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static ND_pairs _ndp_free_list; |
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static NDV *nd_ps; |
static NDV *nd_ps; |
static NDV *nd_ps_trace; |
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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static RHist *nd_red; |
static RHist *nd_red; |
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static int *nd_work_vector; |
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static int **nd_matrix; |
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static int nd_matrix_len; |
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static struct weight_or_block *nd_worb; |
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static int nd_worb_len; |
static int nd_found,nd_create,nd_notfirst; |
static int nd_found,nd_create,nd_notfirst; |
static int nm_adv; |
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static int nmv_adv; |
static int nmv_adv; |
static int nd_dcomp; |
static int nd_demand; |
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extern VL CO; |
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extern int Top,Reverse,DP_Print,dp_nelim,do_weyl; |
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extern int *current_weyl_weight_vector; |
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/* fundamental macros */ |
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#define TD(d) (d[0]) |
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#define HDL(d) ((d)->body->dl) |
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#define HTD(d) (TD(HDL(d))) |
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#define HCM(d) ((d)->body->c.m) |
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#define HCQ(d) ((d)->body->c.z) |
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#define HCP(d) ((d)->body->c.p) |
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#define CM(a) ((a)->c.m) |
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#define CQ(a) ((a)->c.z) |
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#define CP(a) ((a)->c.p) |
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#define DL(a) ((a)->dl) |
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#define SG(a) ((a)->sugar) |
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#define LEN(a) ((a)->len) |
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#define LCM(a) ((a)->lcm) |
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#define GET_EXP(d,a) (((d)[nd_epos[a].i]>>nd_epos[a].s)&nd_mask0) |
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#define GET_EXP_MASK(d,a,m) ((((d)[nd_epos[a].i]&(m)[nd_epos[a].i])>>nd_epos[a].s)&nd_mask0) |
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#define PUT_EXP(r,a,e) ((r)[nd_epos[a].i] |= ((e)<<nd_epos[a].s)) |
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#define XOR_EXP(r,a,e) ((r)[nd_epos[a].i] ^= ((e)<<nd_epos[a].s)) |
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#define GET_EXP_OLD(d,a) (((d)[oepos[a].i]>>oepos[a].s)&omask0) |
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#define PUT_EXP_OLD(r,a,e) ((r)[oepos[a].i] |= ((e)<<oepos[a].s)) |
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/* macros for term comparison */ |
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#define TD_DL_COMPARE(d1,d2)\ |
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(TD(d1)>TD(d2)?1:(TD(d1)<TD(d2)?-1:ndl_lex_compare(d1,d2))) |
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#if 0 |
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#define DL_COMPARE(d1,d2)\ |
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(nd_dcomp>0?TD_DL_COMPARE(d1,d2)\ |
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:(nd_dcomp==0?ndl_lex_compare(d1,d2)\ |
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:(nd_blockmask?ndl_block_compare(d1,d2)\ |
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:(*ndl_compare_function)(d1,d2)))) |
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#else |
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#define DL_COMPARE(d1,d2)\ |
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(nd_dcomp>0?TD_DL_COMPARE(d1,d2):(*ndl_compare_function)(d1,d2)) |
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#endif |
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/* allocators */ |
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#define NEWRHist(r) \ |
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((r)=(RHist)MALLOC(sizeof(struct oRHist)+(nd_wpd-1)*sizeof(UINT))) |
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#define NEWND_pairs(m) \ |
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if(!_ndp_free_list)_NDP_alloc();\ |
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(m)=_ndp_free_list; _ndp_free_list = NEXT(_ndp_free_list) |
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#define NEWNM(m)\ |
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if(!_nm_free_list)_NM_alloc();\ |
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(m)=_nm_free_list; _nm_free_list = NEXT(_nm_free_list) |
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#define MKND(n,m,len,d)\ |
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if(!_nd_free_list)_ND_alloc();\ |
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(d)=_nd_free_list; _nd_free_list = (ND)BDY(_nd_free_list);\ |
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NV(d)=(n); LEN(d)=(len); BDY(d)=(m) |
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#define NEWNDV(d) ((d)=(NDV)MALLOC(sizeof(struct oNDV))) |
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#define MKNDV(n,m,l,d) NEWNDV(d); NV(d)=(n); BDY(d)=(m); LEN(d) = l; |
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#define NEWNM_ind_pair(p)\ |
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((p)=(NM_ind_pair)MALLOC(sizeof(struct oNM_ind_pair))) |
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/* allocate and link a new object */ |
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#define NEXTRHist(r,c) \ |
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if(!(r)){NEWRHist(r);(c)=(r);}else{NEWRHist(NEXT(c));(c)=NEXT(c);} |
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#define NEXTNM(r,c) \ |
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if(!(r)){NEWNM(r);(c)=(r);}else{NEWNM(NEXT(c));(c)=NEXT(c);} |
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#define NEXTNM2(r,c,s) \ |
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if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);} |
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#define NEXTND_pairs(r,c) \ |
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if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT(c));(c)=NEXT(c);} |
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#define MKNM_ind_pair(p,m,i) (NEWNM_ind_pair(p),(p)->mul=(m),(p)->index=(i)) |
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/* deallocators */ |
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#define FREENM(m) NEXT(m)=_nm_free_list; _nm_free_list=(m) |
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#define FREENDP(m) NEXT(m)=_ndp_free_list; _ndp_free_list=(m) |
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#define FREEND(m) BDY(m)=(NM)_nd_free_list; _nd_free_list=(m) |
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/* macro for increasing pointer to NMV */ |
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#define NMV_ADV(m) (m = (NMV)(((char *)m)+nmv_adv)) |
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#define NMV_OADV(m) (m = (NMV)(((char *)m)+oadv)) |
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#define NDV_NADV(m) (m = (NMV)(((char *)m)+newadv)) |
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#define NMV_PREV(m) (m = (NMV)(((char *)m)-nmv_adv)) |
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#define NMV_OPREV(m) (m = (NMV)(((char *)m)-oadv)) |
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/* external functions */ |
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#if 1 |
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void GC_gcollect(); |
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#endif |
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NODE append_one(NODE,int); |
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/* manipulation of coefficients */ |
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void nd_removecont(int mod,ND p); |
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void nd_removecont2(ND p1,ND p2); |
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void removecont_array(Q *c,int n); |
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/* GeoBucket functions */ |
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ND normalize_pbucket(int mod,PGeoBucket g); |
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int head_pbucket(int mod,PGeoBucket g); |
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int head_pbucket_q(PGeoBucket g); |
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void add_pbucket_symbolic(PGeoBucket g,ND d); |
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void add_pbucket(int mod,PGeoBucket g,ND d); |
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void free_pbucket(PGeoBucket b); |
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void mulq_pbucket(PGeoBucket g,Q c); |
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NM remove_head_pbucket_symbolic(PGeoBucket g); |
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PGeoBucket create_pbucket(); |
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/* manipulation of pairs and bases */ |
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int nd_newps(int mod,ND a,ND aq); |
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ND_pairs nd_newpairs( NODE g, int t ); |
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ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ); |
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ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest ); |
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NODE update_base(NODE nd,int ndp); |
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ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t); |
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ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest ); |
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ND_pairs crit_B( ND_pairs d, int s ); |
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ND_pairs crit_M( ND_pairs d1 ); |
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ND_pairs crit_F( ND_pairs d1 ); |
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int crit_2( int dp1, int dp2 ); |
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int ndv_newps(NDV a,NDV aq); |
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/* top level functions */ |
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void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp); |
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void nd_gr_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp); |
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NODE nd_f4(int m); |
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NODE nd_gb(int m,int checkonly); |
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NODE nd_gb_trace(int m); |
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/* ndl functions */ |
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int ndl_weight(UINT *d); |
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void ndl_weight_mask(UINT *d); |
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void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int weight); |
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void ndl_dehomogenize(UINT *p); |
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void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos); |
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INLINE int ndl_reducible(UINT *d1,UINT *d2); |
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INLINE int ndl_lex_compare(UINT *d1,UINT *d2); |
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INLINE int ndl_block_compare(UINT *d1,UINT *d2); |
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INLINE int ndl_equal(UINT *d1,UINT *d2); |
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INLINE void ndl_copy(UINT *d1,UINT *d2); |
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INLINE void ndl_zero(UINT *d); |
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INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d); |
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INLINE void ndl_addto(UINT *d1,UINT *d2); |
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INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d); |
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INLINE int ndl_hash_value(UINT *d); |
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/* normal forms */ |
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INLINE int ndl_find_reducer(UINT *g); |
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int nd_sp(int mod,int trace,ND_pairs p,ND *nf); |
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int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *nf); |
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int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *nf); |
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/* finalizers */ |
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NODE ndv_reducebase(NODE x); |
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NODE ndv_reduceall(int m,NODE f); |
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/* allocators */ |
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void nd_free_private_storage(); |
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void _NM_alloc(); |
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void _ND_alloc(); |
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void nd_free(ND p); |
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void nd_free_redlist(); |
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/* printing */ |
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void ndl_print(UINT *dl); |
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void nd_print(ND p); |
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void nd_print_q(ND p); |
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void ndp_print(ND_pairs d); |
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/* setup, reconstruct */ |
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void nd_init_ord(struct order_spec *spec); |
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ND_pairs nd_reconstruct(int mod,int trace,ND_pairs ndp); |
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void ndv_setup(int mod,int trace,NODE f); |
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void nd_setup_parameters(int nvar,int max); |
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BlockMask nd_create_blockmask(struct order_spec *ord); |
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EPOS nd_create_epos(struct order_spec *ord); |
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int nd_get_exporigin(struct order_spec *ord); |
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void ndv_mod(int mod,NDV p); |
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NDV ndv_dup(int mod,NDV p); |
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ND nd_dup(ND p); |
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/* ND functions */ |
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int ndv_check_candidate(NODE input,int obpe,int oadv,EPOS oepos,NODE cand); |
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void nd_mul_c(int mod,ND p,int mul); |
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void nd_mul_c_q(ND p,Q mul); |
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void nd_mul_c_p(VL vl,ND p,P mul); |
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ND nd_remove_head(ND p); |
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ND nd_separate_head(ND p,ND *head); |
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int nd_length(ND p); |
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void nd_append_red(UINT *d,int i); |
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UINT *ndv_compute_bound(NDV p); |
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ND nd_copy(ND p); |
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ND nd_merge(ND p1,ND p2); |
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ND nd_add(int mod,ND p1,ND p2); |
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ND nd_add_q(ND p1,ND p2); |
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ND nd_add_sf(ND p1,ND p2); |
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INLINE int nd_length(ND p); |
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/* 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); |
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void ndv_mul_c(int mod,NDV p,int mul); |
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void ndv_mul_c_q(NDV p,Q mul); |
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ND ndv_mul_nm_symbolic(NM m0,NDV p); |
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ND ndv_mul_nm(int mod,NM m0,NDV p); |
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void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos); |
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NDV ndv_dup_realloc(NDV p,int obpe,int oadv,EPOS oepos); |
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void ndv_homogenize(NDV p,int obpe,int oadv,EPOS eops); |
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void ndv_dehomogenize(NDV p,struct order_spec *spec); |
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void ndv_removecont(int mod,NDV p); |
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void ndv_print(NDV p); |
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void ndv_print_q(NDV p); |
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void ndv_free(NDV p); |
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/* converters */ |
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ND ptond(VL vl,VL dvl,P p); |
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NDV ptondv(VL vl,VL dvl,P p); |
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P ndvtop(int mod,VL vl,VL dvl,NDV p); |
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NDV ndtondv(int mod,ND p); |
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ND ndvtond(int mod,NDV p); |
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int nm_ind_pair_to_vect(int m,UINT *s0,int n,NM_ind_pair pair,UINT *r); |
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IndArray nm_ind_pair_to_vect_compress(int m,UINT *s0,int n,NM_ind_pair pair); |
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int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r); |
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void nd_free_private_storage() |
void nd_free_private_storage() |
{ |
{ |
_nm_free_list = 0; |
_nm_free_list = 0; |
Line 748 int ndl_block_compare(UINT *d1,UINT *d2) |
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Line 427 int ndl_block_compare(UINT *d1,UINT *d2) |
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return 0; |
return 0; |
} |
} |
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int ndl_matrix_compare(UINT *d1,UINT *d2) |
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{ |
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int i,j,s; |
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int *v; |
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for ( j = 0; j < nd_nvar; j++ ) |
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nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j); |
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for ( i = 0; i < nd_matrix_len; i++ ) { |
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v = nd_matrix[i]; |
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for ( j = 0, s = 0; j < nd_nvar; j++ ) |
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s += v[j]*nd_work_vector[j]; |
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if ( s > 0 ) return 1; |
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else if ( s < 0 ) return -1; |
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} |
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return 0; |
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} |
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int ndl_composite_compare(UINT *d1,UINT *d2) |
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{ |
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int i,j,s,start,end,len,o; |
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int *v; |
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struct sparse_weight *sw; |
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for ( j = 0; j < nd_nvar; j++ ) |
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nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j); |
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for ( i = 0; i < nd_worb_len; i++ ) { |
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len = nd_worb[i].length; |
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switch ( nd_worb[i].type ) { |
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case IS_DENSE_WEIGHT: |
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v = nd_worb[i].body.dense_weight; |
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for ( j = 0, s = 0; j < len; j++ ) |
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s += v[j]*nd_work_vector[j]; |
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if ( s > 0 ) return 1; |
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else if ( s < 0 ) return -1; |
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break; |
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case IS_SPARSE_WEIGHT: |
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sw = nd_worb[i].body.sparse_weight; |
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for ( j = 0, s = 0; j < len; j++ ) |
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s += sw[j].value*nd_work_vector[sw[j].pos]; |
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if ( s > 0 ) return 1; |
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else if ( s < 0 ) return -1; |
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break; |
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case IS_BLOCK: |
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o = nd_worb[i].body.block.order; |
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start = nd_worb[i].body.block.start; |
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switch ( o ) { |
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case 0: |
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end = start+len; |
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for ( j = start, s = 0; j < end; j++ ) |
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s += MUL_WEIGHT(nd_work_vector[j],j); |
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if ( s > 0 ) return 1; |
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else if ( s < 0 ) return -1; |
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for ( j = end-1; j >= start; j-- ) |
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if ( nd_work_vector[j] < 0 ) return 1; |
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else if ( nd_work_vector[j] > 0 ) return -1; |
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break; |
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case 1: |
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end = start+len; |
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for ( j = start, s = 0; j < end; j++ ) |
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s += MUL_WEIGHT(nd_work_vector[j],j); |
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if ( s > 0 ) return 1; |
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else if ( s < 0 ) return -1; |
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for ( j = start; j < end; j++ ) |
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if ( nd_work_vector[j] > 0 ) return 1; |
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else if ( nd_work_vector[j] < 0 ) return -1; |
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break; |
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case 2: |
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for ( j = start; j < end; j++ ) |
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if ( nd_work_vector[j] > 0 ) return 1; |
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else if ( nd_work_vector[j] < 0 ) return -1; |
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break; |
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} |
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break; |
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} |
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} |
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return 0; |
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} |
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/* TDH -> WW -> TD-> RL */ |
/* TDH -> WW -> TD-> RL */ |
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int ndl_ww_lex_compare(UINT *d1,UINT *d2) |
int ndl_ww_lex_compare(UINT *d1,UINT *d2) |
Line 770 INLINE int ndl_equal(UINT *d1,UINT *d2) |
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Line 527 INLINE int ndl_equal(UINT *d1,UINT *d2) |
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{ |
{ |
int i; |
int i; |
|
|
for ( i = 0; i < nd_wpd; i++ ) |
switch ( nd_wpd ) { |
if ( *d1++ != *d2++ ) |
case 2: |
return 0; |
if ( TD(d2) != TD(d1) ) return 0; |
return 1; |
if ( d2[1] != d1[1] ) return 0; |
|
return 1; |
|
break; |
|
case 3: |
|
if ( TD(d2) != TD(d1) ) return 0; |
|
if ( d2[1] != d1[1] ) return 0; |
|
if ( d2[2] != d1[2] ) return 0; |
|
return 1; |
|
break; |
|
default: |
|
for ( i = 0; i < nd_wpd; i++ ) |
|
if ( *d1++ != *d2++ ) return 0; |
|
return 1; |
|
break; |
|
} |
} |
} |
|
|
INLINE void ndl_copy(UINT *d1,UINT *d2) |
INLINE void ndl_copy(UINT *d1,UINT *d2) |
Line 1185 ND nd_add(int mod,ND p1,ND p2) |
|
Line 956 ND nd_add(int mod,ND p1,ND p2) |
|
} |
} |
} |
} |
|
|
|
/* XXX on opteron, the inlined manipulation of destructive additon of |
|
* two NM seems to make gcc optimizer get confused, so the part is |
|
* done in a function. |
|
*/ |
|
|
|
int nm_destructive_add_q(NM *m1,NM *m2,NM *mr0,NM *mr) |
|
{ |
|
NM s; |
|
Q t; |
|
int can; |
|
|
|
addq(CQ(*m1),CQ(*m2),&t); |
|
s = *m1; *m1 = NEXT(*m1); |
|
if ( t ) { |
|
can = 1; NEXTNM2(*mr0,*mr,s); CQ(*mr) = (t); |
|
} else { |
|
can = 2; FREENM(s); |
|
} |
|
s = *m2; *m2 = NEXT(*m2); FREENM(s); |
|
return can; |
|
} |
|
|
ND nd_add_q(ND p1,ND p2) |
ND nd_add_q(ND p1,ND p2) |
{ |
{ |
int n,c,can; |
int n,c,can; |
Line 1200 ND nd_add_q(ND p1,ND p2) |
|
Line 993 ND nd_add_q(ND p1,ND p2) |
|
c = DL_COMPARE(DL(m1),DL(m2)); |
c = DL_COMPARE(DL(m1),DL(m2)); |
switch ( c ) { |
switch ( c ) { |
case 0: |
case 0: |
|
#if defined(__x86_64__) |
|
can += nm_destructive_add_q(&m1,&m2,&mr0,&mr); |
|
#else |
addq(CQ(m1),CQ(m2),&t); |
addq(CQ(m1),CQ(m2),&t); |
s = m1; m1 = NEXT(m1); |
s = m1; m1 = NEXT(m1); |
if ( t ) { |
if ( t ) { |
Line 1208 ND nd_add_q(ND p1,ND p2) |
|
Line 1004 ND nd_add_q(ND p1,ND p2) |
|
can += 2; FREENM(s); |
can += 2; FREENM(s); |
} |
} |
s = m2; m2 = NEXT(m2); FREENM(s); |
s = m2; m2 = NEXT(m2); FREENM(s); |
|
#endif |
break; |
break; |
case 1: |
case 1: |
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s); |
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s); |
Line 1316 int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp) |
|
Line 1113 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; |
} |
} |
p = ps[index]; |
if ( nd_demand ) |
|
p = ndv_load(index); |
|
else |
|
p = ps[index]; |
if ( mod == -1 ) |
if ( mod == -1 ) |
CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g))); |
CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g))); |
else if ( mod ) { |
else if ( mod ) { |
Line 1375 int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp |
|
Line 1175 int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp |
|
Q cg,cred,gcd,zzz; |
Q cg,cred,gcd,zzz; |
RHist h; |
RHist h; |
double hmag,gmag; |
double hmag,gmag; |
|
int count = 0; |
|
int hcount = 0; |
|
|
if ( !g ) { |
if ( !g ) { |
*rp = 0; |
*rp = 0; |
Line 1390 int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp |
|
Line 1192 int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp |
|
while ( 1 ) { |
while ( 1 ) { |
hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket); |
hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket); |
if ( hindex < 0 ) { |
if ( hindex < 0 ) { |
|
if ( DP_Print > 3 ) printf("(%d %d)",count,hcount); |
if ( d ) SG(d) = sugar; |
if ( d ) SG(d) = sugar; |
*rp = d; |
*rp = d; |
return 1; |
return 1; |
Line 1397 int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp |
|
Line 1200 int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp |
|
g = bucket->body[hindex]; |
g = bucket->body[hindex]; |
index = ndl_find_reducer(HDL(g)); |
index = ndl_find_reducer(HDL(g)); |
if ( index >= 0 ) { |
if ( index >= 0 ) { |
|
count++; |
|
if ( !d ) hcount++; |
h = nd_psh[index]; |
h = nd_psh[index]; |
ndl_sub(HDL(g),DL(h),DL(mul)); |
ndl_sub(HDL(g),DL(h),DL(mul)); |
if ( ndl_check_bound2(index,DL(mul)) ) { |
if ( ndl_check_bound2(index,DL(mul)) ) { |
|
|
d = ndvtond(0,r); |
d = ndvtond(0,r); |
stat = nd_nf(0,d,nd_ps,0,0,&nf); |
stat = nd_nf(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); } |
} |
} |
if ( DP_Print ) { printf("\n"); } |
if ( DP_Print ) { printf("\n"); } |
/* gbcheck : cand is a GB of Id(cand) ? */ |
/* gbcheck : cand is a GB of Id(cand) ? */ |
if ( !nd_gb(0,1) ) return 0; |
if ( !nd_gb(0,0,1) ) return 0; |
/* XXX */ |
/* XXX */ |
return 1; |
return 1; |
} |
} |
Line 1722 ND normalize_pbucket(int mod,PGeoBucket g) |
|
Line 1527 ND normalize_pbucket(int mod,PGeoBucket g) |
|
return r; |
return r; |
} |
} |
|
|
|
void do_diagonalize(int sugar,int m) |
|
{ |
|
int i,nh,stat; |
|
NODE r,g,t; |
|
ND h,nf,s,head; |
|
NDV nfv; |
|
Q q,num,den; |
|
union oNDC dn; |
|
|
|
for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { |
|
if ( nd_demand ) |
|
nfv = ndv_load(i); |
|
else |
|
nfv = nd_ps[i]; |
|
s = ndvtond(m,nfv); |
|
s = nd_separate_head(s,&head); |
|
nd_nf(m,s,nd_ps,1,&dn,&nf); |
|
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(nfv); |
|
nd_removecont(m,nf); |
|
nfv = ndtondv(m,nf); |
|
nd_free(nf); |
|
nd_bound[i] = ndv_compute_bound(nfv); |
|
if ( nd_demand ) { |
|
ndv_save(nfv,i); |
|
ndv_free(nfv); |
|
} else |
|
nd_ps[i] = nfv; |
|
} |
|
} |
|
|
/* return value = 0 => input is not a GB */ |
/* return value = 0 => input is not a GB */ |
|
|
NODE nd_gb(int m,int checkonly) |
NODE nd_gb(int m,int ishomo,int checkonly) |
{ |
{ |
int i,nh,sugar,stat; |
int i,nh,sugar,stat; |
NODE r,g,t; |
NODE r,g,t; |
ND_pairs d; |
ND_pairs d; |
ND_pairs l; |
ND_pairs l; |
ND h,nf; |
ND h,nf,s,head; |
NDV nfv; |
NDV nfv; |
|
Q q,num,den; |
union oNDC dn; |
union oNDC dn; |
|
|
g = 0; d = 0; |
g = 0; d = 0; |
Line 1744 NODE nd_gb(int m,int checkonly) |
|
Line 1589 NODE nd_gb(int m,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); |
|
|
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 |
|
|
#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); |
nfv = ndtondv(m,nf); nd_free(nf); |
nfv = ndtondv(m,nf); nd_free(nf); |
nh = ndv_newps(nfv,0); |
nh = ndv_newps(m,nfv,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); |
|
|
FREENDP(l); |
FREENDP(l); |
} |
} |
} |
} |
for ( t = g; t; t = NEXT(t) ) BDY(t) = (pointer)nd_ps[(int)BDY(t)]; |
if ( nd_demand ) |
|
for ( t = g; t; t = NEXT(t) ) |
|
BDY(t) = (pointer)ndv_load((int)BDY(t)); |
|
else |
|
for ( t = g; t; t = NEXT(t) ) |
|
BDY(t) = (pointer)nd_ps[(int)BDY(t)]; |
return g; |
return g; |
} |
} |
|
|
NODE nd_gb_trace(int m) |
void do_diagonalize_trace(int sugar,int m) |
{ |
{ |
|
int i,nh,stat; |
|
NODE r,g,t; |
|
ND h,nf,nfq,s,head; |
|
NDV nfv,nfqv; |
|
Q q,den,num; |
|
union oNDC dn; |
|
|
|
for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { |
|
/* for nd_ps */ |
|
s = ndvtond(m,nd_ps[i]); |
|
s = nd_separate_head(s,&head); |
|
nd_nf_pbucket(m,s,nd_ps,1,&nf); |
|
nf = nd_add(m,head,nf); |
|
ndv_free(nd_ps[i]); |
|
nd_ps[i] = ndtondv(m,nf); |
|
nd_free(nf); |
|
|
|
/* for nd_ps_trace */ |
|
if ( nd_demand ) |
|
nfv = ndv_load(i); |
|
else |
|
nfv = nd_ps_trace[i]; |
|
s = ndvtond(0,nfv); |
|
s = nd_separate_head(s,&head); |
|
nd_nf(0,s,nd_ps_trace,1,&dn,&nf); |
|
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(0,head,nf); |
|
ndv_free(nfv); |
|
nd_removecont(0,nf); |
|
nfv = ndtondv(0,nf); |
|
nd_free(nf); |
|
nd_bound[i] = ndv_compute_bound(nfv); |
|
if ( nd_demand ) { |
|
ndv_save(nfv,i); |
|
ndv_free(nfv); |
|
} else |
|
nd_ps_trace[i] = nfv; |
|
} |
|
} |
|
|
|
NODE nd_gb_trace(int m,int ishomo) |
|
{ |
int i,nh,sugar,stat; |
int i,nh,sugar,stat; |
NODE r,g,t; |
NODE r,g,t; |
ND_pairs d; |
ND_pairs d; |
ND_pairs l; |
ND_pairs l; |
ND h,nf,nfq; |
ND h,nf,nfq,s,head; |
NDV nfv,nfqv; |
NDV nfv,nfqv; |
|
Q q,den,num; |
union oNDC dn; |
union oNDC dn; |
|
|
g = 0; d = 0; |
g = 0; d = 0; |
Line 1800 NODE nd_gb_trace(int m) |
|
Line 1700 NODE nd_gb_trace(int m) |
|
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); |
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 |
|
|
#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_sp(0,1,l,&h) || !nd_nf(0,h,nd_ps_trace,!Top,0,&nfq) ) { |
if ( nd_demand ) { |
NEXT(l) = d; d = l; |
nfqv = ndv_load(nd_psn); |
d = nd_reconstruct(m,1,d); |
nfq = ndvtond(0,nfqv); |
goto again; |
} else |
|
nfq = 0; |
|
if ( !nfq ) { |
|
if ( !nd_sp(0,1,l,&h) || !nd_nf(0,h,nd_ps_trace,!Top,0,&nfq) ) { |
|
NEXT(l) = d; d = l; |
|
d = nd_reconstruct(1,d); |
|
goto again; |
|
} |
} |
} |
if ( nfq ) { |
if ( nfq ) { |
/* m|HC(nfq) => failure */ |
/* m|HC(nfq) => failure */ |
|
|
if ( DP_Print ) { printf("+"); fflush(stdout); } |
if ( DP_Print ) { printf("+"); fflush(stdout); } |
nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf); |
nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf); |
nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq); |
nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq); |
nh = ndv_newps(nfv,nfqv); |
nh = ndv_newps(0,nfv,nfqv); |
d = update_pairs(d,g,nh); |
d = update_pairs(d,g,nh); |
g = update_base(g,nh); |
g = update_base(g,nh); |
} else { |
} else { |
|
|
} |
} |
FREENDP(l); |
FREENDP(l); |
} |
} |
for ( t = g; t; t = NEXT(t) ) |
if ( nd_demand ) |
BDY(t) = (pointer)nd_ps_trace[(int)BDY(t)]; |
for ( t = g; t; t = NEXT(t) ) |
|
BDY(t) = (pointer)ndv_load((int)BDY(t)); |
|
else |
|
for ( t = g; t; t = NEXT(t) ) |
|
BDY(t) = (pointer)nd_ps_trace[(int)BDY(t)]; |
return g; |
return g; |
} |
} |
|
|
Line 1864 NODE ndv_reduceall(int m,NODE f) |
|
Line 1776 NODE ndv_reduceall(int m,NODE f) |
|
NODE t,a0,a; |
NODE t,a0,a; |
union oNDC dn; |
union oNDC dn; |
NDV *w; |
NDV *w; |
Q q; |
Q q,num,den; |
|
|
n = length(f); |
n = length(f); |
#if 0 |
#if 0 |
Line 1880 NODE ndv_reduceall(int m,NODE f) |
|
Line 1792 NODE ndv_reduceall(int m,NODE f) |
|
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,g,nd_ps,1,&dn,&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 ) { mulq(HCQ(head),dn.z,&q); HCQ(head) = q; } |
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); |
nf = nd_add(m,head,nf); |
ndv_free(nd_ps[i]); |
ndv_free(nd_ps[i]); |
nd_removecont(m,nf); |
nd_removecont(m,nf); |
Line 2125 ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ) |
|
Line 2044 ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ) |
|
return m; |
return m; |
} |
} |
s = SG(m); |
s = SG(m); |
for ( ml = 0, l = m; p; p = NEXT(l = p) ) |
if ( !NoSugar ) { |
if ( (SG(p) < s) |
for ( ml = 0, l = m; p; p = NEXT(l = p) ) |
|| ((SG(p) == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) { |
if ( (SG(p) < s) |
ml = l; m = p; s = SG(m); |
|| ((SG(p) == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) { |
} |
ml = l; m = p; s = SG(m); |
|
} |
|
} else { |
|
for ( ml = 0, l = m; p; p = NEXT(l = p) ) |
|
if ( DL_COMPARE(LCM(p),LCM(m)) < 0 ) { |
|
ml = l; m = p; s = SG(m); |
|
} |
|
} |
if ( !ml ) *prest = NEXT(m); |
if ( !ml ) *prest = NEXT(m); |
else { |
else { |
NEXT(ml) = NEXT(m); |
NEXT(ml) = NEXT(m); |
Line 2164 ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest ) |
|
Line 2090 ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest ) |
|
return dm0; |
return dm0; |
} |
} |
|
|
int ndv_newps(NDV a,NDV aq) |
int ndv_newps(int m,NDV a,NDV aq) |
{ |
{ |
int len; |
int len; |
RHist r; |
RHist r; |
Line 2188 int ndv_newps(NDV a,NDV aq) |
|
Line 2114 int ndv_newps(NDV a,NDV aq) |
|
nd_bound[nd_psn] = ndv_compute_bound(a); |
nd_bound[nd_psn] = ndv_compute_bound(a); |
SG(r) = SG(a); ndl_copy(HDL(a),DL(r)); |
SG(r) = SG(a); ndl_copy(HDL(a),DL(r)); |
} |
} |
|
if ( nd_demand ) { |
|
if ( aq ) { |
|
ndv_save(nd_ps_trace[nd_psn],nd_psn); |
|
nd_ps_trace[nd_psn] = 0; |
|
} else { |
|
ndv_save(nd_ps[nd_psn],nd_psn); |
|
nd_ps[nd_psn] = 0; |
|
} |
|
} |
return nd_psn++; |
return nd_psn++; |
} |
} |
|
|
Line 2230 void ndv_setup(int mod,int trace,NODE f) |
|
Line 2165 void ndv_setup(int mod,int trace,NODE f) |
|
NEWRHist(r); SG(r) = HTD(a); ndl_copy(HDL(a),DL(r)); |
NEWRHist(r); SG(r) = HTD(a); ndl_copy(HDL(a),DL(r)); |
nd_bound[i] = ndv_compute_bound(a); |
nd_bound[i] = ndv_compute_bound(a); |
nd_psh[i] = r; |
nd_psh[i] = r; |
|
if ( nd_demand ) { |
|
if ( trace ) { |
|
ndv_save(nd_ps_trace[i],i); |
|
nd_ps_trace[i] = 0; |
|
} else { |
|
ndv_save(nd_ps[i],i); |
|
nd_ps[i] = 0; |
|
} |
|
} |
} |
} |
} |
} |
|
|
Line 2239 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
Line 2183 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
NODE fd,fd0,r,r0,t,x,s,xx; |
NODE fd,fd0,r,r0,t,x,s,xx; |
int e,max,nvar; |
int e,max,nvar; |
NDV b; |
NDV b; |
|
int ishomo; |
|
|
|
if ( !m && Demand ) nd_demand = 1; |
|
else nd_demand = 0; |
|
|
|
#if 0 |
|
ndv_alloc = 0; |
|
#endif |
get_vars((Obj)f,&fv); pltovl(v,&vv); |
get_vars((Obj)f,&fv); pltovl(v,&vv); |
nvar = length(vv); |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
|
switch ( ord->id ) { |
|
case 1: |
|
if ( ord->nv != nvar ) |
|
error("nd_{gr,f4} : invalid order specification"); |
|
break; |
|
default: |
|
break; |
|
} |
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 2249 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
Line 2208 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
max = MAX(e,max); |
max = MAX(e,max); |
} |
} |
nd_setup_parameters(nvar,max); |
nd_setup_parameters(nvar,max); |
|
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)); |
b = (pointer)ptondv(CO,vv,(P)BDY(t)); |
|
if ( ishomo ) |
|
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); |
x = f4?nd_f4(m):nd_gb(m,0); |
x = f4?nd_f4(m):nd_gb(m,ishomo,0); |
|
nd_demand = 0; |
x = ndv_reducebase(x); |
x = ndv_reducebase(x); |
x = ndv_reduceall(m,x); |
x = ndv_reduceall(m,x); |
for ( r0 = 0, t = x; t; t = NEXT(t) ) { |
for ( r0 = 0, t = x; t; t = NEXT(t) ) { |
Line 2265 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
Line 2228 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe |
|
} |
} |
if ( r0 ) NEXT(r) = 0; |
if ( r0 ) NEXT(r) = 0; |
MKLIST(*rp,r0); |
MKLIST(*rp,r0); |
|
#if 0 |
|
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_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp) |
{ |
{ |
struct order_spec ord1; |
struct order_spec *ord1; |
VL tv,fv,vv,vc; |
VL tv,fv,vv,vc; |
NODE fd,fd0,in0,in,r,r0,t,s,cand; |
NODE fd,fd0,in0,in,r,r0,t,s,cand; |
int m,nocheck,nvar,mindex,e,max; |
int m,nocheck,nvar,mindex,e,max; |
Line 2277 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
Line 2243 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
NMV a; |
NMV a; |
P p; |
P p; |
EPOS oepos; |
EPOS oepos; |
int obpe,oadv,wmax,i,len,cbpe; |
int obpe,oadv,wmax,i,len,cbpe,ishomo; |
|
|
get_vars((Obj)f,&fv); pltovl(v,&vv); |
get_vars((Obj)f,&fv); pltovl(v,&vv); |
nvar = length(vv); |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
|
switch ( ord->id ) { |
|
case 1: |
|
if ( ord->nv != nvar ) |
|
error("nd_gr_trace : invalid order specification"); |
|
break; |
|
default: |
|
break; |
|
} |
nocheck = 0; |
nocheck = 0; |
mindex = 0; |
mindex = 0; |
|
|
|
if ( Demand ) nd_demand = 1; |
|
else nd_demand = 0; |
|
|
/* setup modulus */ |
/* setup modulus */ |
if ( trace < 0 ) { |
if ( trace < 0 ) { |
trace = -trace; |
trace = -trace; |
Line 2298 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
Line 2275 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
nd_init_ord(ord); |
nd_init_ord(ord); |
nd_setup_parameters(nvar,max); |
nd_setup_parameters(nvar,max); |
obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; |
obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; |
|
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)); |
c = ptondv(CO,vv,(P)BDY(t)); |
|
if ( ishomo ) |
|
ishomo = ishomo && ndv_ishomo(c); |
if ( c ) { |
if ( c ) { |
NEXTNODE(in0,in); BDY(in) = (pointer)c; |
NEXTNODE(in0,in); BDY(in) = (pointer)c; |
NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c); |
NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c); |
Line 2307 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
Line 2287 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 ( homo ) { |
if ( !ishomo && homo ) { |
for ( t = in0, wmax = 0; t; t = NEXT(t) ) { |
for ( t = in0, wmax = 0; 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); |
} |
} |
homogenize_order(ord,nvar,&ord1); |
homogenize_order(ord,nvar,&ord1); |
nd_init_ord(&ord1); |
nd_init_ord(ord1); |
nd_setup_parameters(nvar+1,wmax); |
nd_setup_parameters(nvar+1,wmax); |
for ( t = fd0; t; t = NEXT(t) ) |
for ( t = fd0; t; t = NEXT(t) ) |
ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos); |
ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos); |
} |
} |
while ( 1 ) { |
while ( 1 ) { |
|
if ( Demand ) |
|
nd_demand = 1; |
ndv_setup(m,1,fd0); |
ndv_setup(m,1,fd0); |
cand = nd_gb_trace(m); |
cand = nd_gb_trace(m,ishomo || homo); |
if ( !cand ) { |
if ( !cand ) { |
/* failure */ |
/* failure */ |
if ( trace > 1 ) { *rp = 0; return; } |
if ( trace > 1 ) { *rp = 0; return; } |
else m = get_lprime(++mindex); |
else m = get_lprime(++mindex); |
continue; |
continue; |
} |
} |
if ( homo ) { |
if ( !ishomo && homo ) { |
/* dehomogenization */ |
/* dehomogenization */ |
for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord); |
for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord); |
nd_init_ord(ord); |
nd_init_ord(ord); |
nd_setup_parameters(nvar,0); |
nd_setup_parameters(nvar,0); |
} |
} |
|
nd_demand = 0; |
cand = ndv_reducebase(cand); |
cand = ndv_reducebase(cand); |
cand = ndv_reduceall(0,cand); |
cand = ndv_reduceall(0,cand); |
|
cbpe = nd_bpe; |
if ( nocheck ) |
if ( nocheck ) |
break; |
break; |
cbpe = nd_bpe; |
|
if ( ndv_check_candidate(in0,obpe,oadv,oepos,cand) ) |
if ( ndv_check_candidate(in0,obpe,oadv,oepos,cand) ) |
/* success */ |
/* success */ |
break; |
break; |
Line 2349 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
Line 2332 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru |
|
/* try the next modulus */ |
/* try the next modulus */ |
m = get_lprime(++mindex); |
m = get_lprime(++mindex); |
/* reset the parameters */ |
/* reset the parameters */ |
if ( homo ) { |
if ( !ishomo && homo ) { |
nd_init_ord(&ord1); |
nd_init_ord(ord1); |
nd_setup_parameters(nvar+1,wmax); |
nd_setup_parameters(nvar+1,wmax); |
} else { |
} else { |
nd_init_ord(ord); |
nd_init_ord(ord); |
Line 2458 void nd_print_q(ND p) |
|
Line 2441 void nd_print_q(ND p) |
|
else { |
else { |
for ( m = BDY(p); m; m = NEXT(m) ) { |
for ( m = BDY(p); m; m = NEXT(m) ) { |
printf("+"); |
printf("+"); |
printexpr(CO,CQ(m)); |
printexpr(CO,(Obj)CQ(m)); |
printf("*"); |
printf("*"); |
ndl_print(DL(m)); |
ndl_print(DL(m)); |
} |
} |
Line 2581 void ndv_dehomogenize(NDV p,struct order_spec *ord) |
|
Line 2564 void ndv_dehomogenize(NDV p,struct order_spec *ord) |
|
for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) |
for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) |
ndl_dehomogenize(DL(m)); |
ndl_dehomogenize(DL(m)); |
if ( newwpd != nd_wpd ) { |
if ( newwpd != nd_wpd ) { |
newadv = sizeof(struct oNMV)+(newwpd-1)*sizeof(UINT); |
newadv = ROUND_FOR_ALIGN(sizeof(struct oNMV)+(newwpd-1)*sizeof(UINT)); |
for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NDV_NADV(r), i++ ) { |
for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NDV_NADV(r), i++ ) { |
CQ(r) = CQ(m); |
CQ(r) = CQ(m); |
for ( j = 0; j < newexporigin; j++ ) DL(r)[j] = DL(m)[j]; |
for ( j = 0; j < newexporigin; j++ ) DL(r)[j] = DL(m)[j]; |
Line 2725 UINT *ndv_compute_bound(NDV p) |
|
Line 2708 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 ) { |
case 0: |
case 0: case 2: |
return 1; |
return 1; |
case 1: |
case 1: |
/* block order */ |
/* block order */ |
/* d[0]:weight d[1]:w0,...,d[nd_exporigin-1]:w(n-1) */ |
/* d[0]:weight d[1]:w0,...,d[nd_exporigin-1]:w(n-1) */ |
return ord->ord.block.length+1; |
return ord->ord.block.length+1; |
case 2: |
case 3: |
error("nd_get_exporigin : matrix order is not supported yet."); |
error("nd_get_exporigin : composite order is not supported yet."); |
} |
} |
} |
} |
|
|
void nd_setup_parameters(int nvar,int max) { |
void nd_setup_parameters(int nvar,int max) { |
int i,j,n,elen,ord_o,ord_l,l,s; |
int i,j,n,elen,ord_o,ord_l,l,s,wpd; |
struct order_pair *op; |
struct order_pair *op; |
int bpe; |
|
|
|
if ( !max ) bpe = nd_bpe; |
|
else if ( max < 2 ) bpe = 1; |
|
else if ( max < 4 ) bpe = 2; |
|
else if ( max < 8 ) bpe = 3; |
|
else if ( max < 16 ) bpe = 4; |
|
else if ( max < 32 ) bpe = 5; |
|
else if ( max < 64 ) bpe = 6; |
|
else if ( max < 256 ) bpe = 8; |
|
else if ( max < 1024 ) bpe = 10; |
|
else if ( max < 65536 ) bpe = 16; |
|
else bpe = 32; |
|
if ( bpe != nd_bpe || nvar != nd_nvar ) |
|
nd_free_private_storage(); |
|
nd_bpe = bpe; |
|
nd_nvar = nvar; |
nd_nvar = nvar; |
|
if ( max ) { |
|
/* XXX */ |
|
if ( do_weyl ) nd_bpe = 32; |
|
else if ( max < 2 ) nd_bpe = 1; |
|
else if ( max < 4 ) nd_bpe = 2; |
|
else if ( max < 8 ) nd_bpe = 3; |
|
else if ( max < 16 ) nd_bpe = 4; |
|
else if ( max < 32 ) nd_bpe = 5; |
|
else if ( max < 64 ) nd_bpe = 6; |
|
else if ( max < 256 ) nd_bpe = 8; |
|
else if ( max < 1024 ) nd_bpe = 10; |
|
else if ( max < 65536 ) nd_bpe = 16; |
|
else nd_bpe = 32; |
|
} |
nd_epw = (sizeof(UINT)*8)/nd_bpe; |
nd_epw = (sizeof(UINT)*8)/nd_bpe; |
elen = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0); |
elen = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0); |
|
|
nd_exporigin = nd_get_exporigin(nd_ord); |
nd_exporigin = nd_get_exporigin(nd_ord); |
nd_wpd = nd_exporigin+elen; |
wpd = nd_exporigin+elen; |
|
if ( wpd != nd_wpd ) { |
|
nd_free_private_storage(); |
|
nd_wpd = wpd; |
|
} |
if ( nd_bpe < 32 ) { |
if ( nd_bpe < 32 ) { |
nd_mask0 = (1<<nd_bpe)-1; |
nd_mask0 = (1<<nd_bpe)-1; |
} else { |
} else { |
Line 2776 void nd_setup_parameters(int nvar,int max) { |
|
Line 2789 void nd_setup_parameters(int nvar,int max) { |
|
nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe)); |
nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe)); |
nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe); |
nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe); |
} |
} |
nm_adv = sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT); |
nmv_adv = ROUND_FOR_ALIGN(sizeof(struct oNMV)+(nd_wpd-1)*sizeof(UINT)); |
nmv_adv = sizeof(struct oNMV)+(nd_wpd-1)*sizeof(UINT); |
|
nd_epos = nd_create_epos(nd_ord); |
nd_epos = nd_create_epos(nd_ord); |
nd_blockmask = nd_create_blockmask(nd_ord); |
nd_blockmask = nd_create_blockmask(nd_ord); |
|
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 2915 int nd_sp(int mod,int trace,ND_pairs p,ND *rp) |
|
Line 2928 int nd_sp(int mod,int trace,ND_pairs p,ND *rp) |
|
UINT *lcm; |
UINT *lcm; |
int td; |
int td; |
|
|
if ( trace ) { |
if ( !mod && nd_demand ) { |
p1 = nd_ps_trace[p->i1]; p2 = nd_ps_trace[p->i2]; |
p1 = ndv_load(p->i1); p2 = ndv_load(p->i2); |
} else { |
} else { |
p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2]; |
if ( trace ) { |
|
p1 = nd_ps_trace[p->i1]; p2 = nd_ps_trace[p->i2]; |
|
} else { |
|
p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2]; |
|
} |
} |
} |
lcm = LCM(p); |
lcm = LCM(p); |
NEWNM(m); |
NEWNM(m); |
Line 3185 ND ndv_mul_nm(int mod,NM m0,NDV p) |
|
Line 3202 ND ndv_mul_nm(int mod,NM m0,NDV p) |
|
} |
} |
} |
} |
|
|
|
ND nd_quo(int mod,ND p,NDV d) |
|
{ |
|
NM mq0,mq; |
|
NMV tm; |
|
Q q; |
|
int i,nv,sg,c,c1,c2; |
|
ND t,r; |
|
|
|
if ( !p ) return 0; |
|
else { |
|
nv = NV(p); |
|
sg = SG(p); |
|
mq0 = 0; |
|
tm = (NMV)ALLOCA(nmv_adv); |
|
while ( p ) { |
|
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 { |
|
divq(HCQ(p),HCQ(d),&CQ(mq)); |
|
chsgnq(CQ(mq),&CQ(tm)); |
|
} |
|
t = ndv_mul_nmv_trunc(mod,tm,d,HDL(d)); |
|
p = nd_add(mod,p,t); |
|
} |
|
NEXT(mq) = 0; |
|
for ( i = 0, mq = mq0; mq; mq = NEXT(mq), i++ ); |
|
MKND(nv,mq0,i,r); |
|
/* XXX */ |
|
SG(r) = sg-SG(d); |
|
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 3334 ND ptond(VL vl,VL dvl,P p) |
|
Line 3389 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 3403 NDV ndtondv(int mod,ND p) |
|
Line 3458 NDV ndtondv(int mod,ND p) |
|
|
|
if ( !p ) return 0; |
if ( !p ) return 0; |
len = LEN(p); |
len = LEN(p); |
m0 = m = (NMV)(mod?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv)); |
if ( mod ) |
|
m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(len*nmv_adv); |
|
else |
|
m0 = m = MALLOC(len*nmv_adv); |
|
#if 0 |
|
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 3461 void ndv_print_q(NDV p) |
|
Line 3522 void ndv_print_q(NDV p) |
|
len = LEN(p); |
len = LEN(p); |
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
printf("+"); |
printf("+"); |
printexpr(CO,CQ(m)); |
printexpr(CO,(Obj)CQ(m)); |
printf("*"); |
printf("*"); |
ndl_print(DL(m)); |
ndl_print(DL(m)); |
} |
} |
Line 3523 void nd_init_ord(struct order_spec *ord) |
|
Line 3584 void nd_init_ord(struct order_spec *ord) |
|
} |
} |
break; |
break; |
case 1: |
case 1: |
|
/* block order */ |
/* XXX */ |
/* XXX */ |
nd_dcomp = -1; |
nd_dcomp = -1; |
nd_isrlex = 0; |
nd_isrlex = 0; |
ndl_compare_function = ndl_block_compare; |
ndl_compare_function = ndl_block_compare; |
break; |
break; |
case 2: |
case 2: |
error("nd_init_ord : matrix order is not supported yet."); |
/* matrix order */ |
|
/* XXX */ |
|
nd_dcomp = -1; |
|
nd_isrlex = 0; |
|
nd_matrix_len = ord->ord.matrix.row; |
|
nd_matrix = ord->ord.matrix.matrix; |
|
ndl_compare_function = ndl_matrix_compare; |
break; |
break; |
|
case 3: |
|
/* composite order */ |
|
nd_dcomp = -1; |
|
nd_isrlex = 0; |
|
nd_worb_len = ord->ord.composite.length; |
|
nd_worb = ord->ord.composite.w_or_b; |
|
ndl_compare_function = ndl_composite_compare; |
|
break; |
} |
} |
nd_ord = ord; |
nd_ord = ord; |
} |
} |
Line 3541 BlockMask nd_create_blockmask(struct order_spec *ord) |
|
Line 3617 BlockMask nd_create_blockmask(struct order_spec *ord) |
|
UINT *t; |
UINT *t; |
BlockMask bm; |
BlockMask bm; |
|
|
if ( !ord->id ) |
/* we only create mask table for block order */ |
|
if ( ord->id != 1 ) |
return 0; |
return 0; |
n = ord->ord.block.length; |
n = ord->ord.block.length; |
bm = (BlockMask)MALLOC(sizeof(struct oBlockMask)); |
bm = (BlockMask)MALLOC(sizeof(struct oBlockMask)); |
Line 3599 EPOS nd_create_epos(struct order_spec *ord) |
|
Line 3676 EPOS nd_create_epos(struct order_spec *ord) |
|
} |
} |
break; |
break; |
case 2: |
case 2: |
error("nd_create_epos : matrix order is not supported yet."); |
/* matrix order */ |
|
case 3: |
|
/* composite order */ |
|
for ( i = 0; i < nd_nvar; i++ ) { |
|
epos[i].i = nd_exporigin + i/nd_epw; |
|
epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe; |
|
} |
|
break; |
} |
} |
return epos; |
return epos; |
} |
} |
Line 3616 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
Line 3700 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
union oNDC dn; |
union oNDC dn; |
|
|
pltovl(v,&vv); |
pltovl(v,&vv); |
nvar = length(vv); |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
|
|
/* get the degree bound */ |
/* get the degree bound */ |
for ( t = BDY(g), max = 0; t; t = NEXT(t) ) |
for ( t = BDY(g), max = 0; t; t = NEXT(t) ) |
Line 3651 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
Line 3735 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec |
|
stat = nd_nf(m,nd,nd_ps,1,0,&nf); |
stat = nd_nf(m,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 3675 int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r) |
|
Line 3759 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) |
|
{ |
|
NMV m; |
|
UINT *t,*s; |
|
int i,j,len; |
|
|
|
for ( i = 0; i < n; i++ ) r[i] = 0; |
|
m = BDY(d); |
|
len = LEN(d); |
|
for ( i = j = 0, s = s0; j < len; j++, NMV_ADV(m)) { |
|
t = DL(m); |
|
for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
|
r[i] = CM(m); |
|
} |
|
for ( i = 0; !r[i]; i++ ); |
|
return i; |
|
} |
|
|
int nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair,UINT *r) |
int nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair,UINT *r) |
{ |
{ |
NM m; |
NM m; |
Line 3706 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
|
Line 3808 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
|
NDV p; |
NDV p; |
unsigned char *ivc; |
unsigned char *ivc; |
unsigned short *ivs; |
unsigned short *ivs; |
UINT *v,*ivi; |
UINT *v,*ivi,*s0v; |
int i,j,len,prev,diff,cdiff; |
int i,j,len,prev,diff,cdiff; |
IndArray r; |
IndArray r; |
|
|
Line 3715 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
|
Line 3817 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
|
p = nd_ps[pair->index]; |
p = nd_ps[pair->index]; |
len = LEN(p); |
len = LEN(p); |
t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
r = (IndArray)MALLOC(sizeof(struct oIndArray)); |
|
v = (unsigned int *)ALLOCA(len*sizeof(unsigned int)); |
v = (unsigned int *)ALLOCA(len*sizeof(unsigned int)); |
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++ ); |
v[j] = i; |
v[j] = i; |
} |
} |
|
r = (IndArray)MALLOC(sizeof(struct oIndArray)); |
r->head = v[0]; |
r->head = v[0]; |
diff = 0; |
diff = 0; |
for ( i = 1; i < len; i++ ) { |
for ( i = 1; i < len; i++ ) { |
Line 3747 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
|
Line 3849 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
|
} |
} |
|
|
|
|
void ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NODE rp0) |
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; |
UINT c,c1,c2,c3,up,lo,dmy; |
UINT c,c1,c2,c3,up,lo,dmy; |
Line 3758 void ndv_reduce_vect(int m,UINT *svect,int col,IndArra |
|
Line 3860 void ndv_reduce_vect(int m,UINT *svect,int col,IndArra |
|
NDV redv; |
NDV redv; |
NMV mr; |
NMV mr; |
NODE rp; |
NODE rp; |
|
int maxrs; |
|
|
for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) { |
maxrs = 0; |
|
for ( i = 0; i < nred; i++ ) { |
ivect = imat[i]; |
ivect = imat[i]; |
k = ivect->head; svect[k] %= m; |
k = ivect->head; svect[k] %= m; |
if ( c = svect[k] ) { |
if ( c = svect[k] ) { |
c = m-c; redv = nd_ps[((NM_ind_pair)BDY(rp))->index]; |
maxrs = MAX(maxrs,rp0[i]->sugar); |
|
c = m-c; redv = nd_ps[rp0[i]->index]; |
len = LEN(redv); mr = BDY(redv); |
len = LEN(redv); mr = BDY(redv); |
svect[k] = 0; prev = k; |
svect[k] = 0; prev = k; |
switch ( ivect->width ) { |
switch ( ivect->width ) { |
Line 3802 void ndv_reduce_vect(int m,UINT *svect,int col,IndArra |
|
Line 3907 void ndv_reduce_vect(int m,UINT *svect,int col,IndArra |
|
} |
} |
for ( i = 0; i < col; i++ ) |
for ( i = 0; i < col; i++ ) |
if ( svect[i] >= (UINT)m ) svect[i] %= m; |
if ( svect[i] >= (UINT)m ) svect[i] %= m; |
|
return maxrs; |
} |
} |
|
|
void ndv_reduce_vect_sf(int m,UINT *svect,int col,IndArray *imat,NODE rp0) |
int ndv_reduce_vect_sf(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; |
UINT c,c1,c2,c3,up,lo,dmy; |
UINT c,c1,c2,c3,up,lo,dmy; |
Line 3815 void ndv_reduce_vect_sf(int m,UINT *svect,int col,IndA |
|
Line 3921 void ndv_reduce_vect_sf(int m,UINT *svect,int col,IndA |
|
NDV redv; |
NDV redv; |
NMV mr; |
NMV mr; |
NODE rp; |
NODE rp; |
|
int maxrs; |
|
|
for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) { |
maxrs = 0; |
|
for ( i = 0; i < nred; i++ ) { |
ivect = imat[i]; |
ivect = imat[i]; |
k = ivect->head; svect[k] %= m; |
k = ivect->head; svect[k] %= m; |
if ( c = svect[k] ) { |
if ( c = svect[k] ) { |
c = _chsgnsf(c); redv = nd_ps[((NM_ind_pair)BDY(rp))->index]; |
maxrs = MAX(maxrs,rp0[i]->sugar); |
|
c = _chsgnsf(c); redv = nd_ps[rp0[i]->index]; |
len = LEN(redv); mr = BDY(redv); |
len = LEN(redv); mr = BDY(redv); |
svect[k] = 0; prev = k; |
svect[k] = 0; prev = k; |
switch ( ivect->width ) { |
switch ( ivect->width ) { |
Line 3848 void ndv_reduce_vect_sf(int m,UINT *svect,int col,IndA |
|
Line 3957 void ndv_reduce_vect_sf(int m,UINT *svect,int col,IndA |
|
} |
} |
} |
} |
} |
} |
|
return maxrs; |
} |
} |
|
|
NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhead,UINT *s0vect) |
NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhead,UINT *s0vect) |
Line 3861 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
|
Line 3971 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
|
for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
if ( !len ) return 0; |
if ( !len ) return 0; |
else { |
else { |
mr0 = (NMV)MALLOC_ATOMIC(nmv_adv*len); |
mr0 = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len); |
|
#if 0 |
|
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 3875 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
|
Line 3988 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
|
} |
} |
} |
} |
|
|
int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket,NODE *s) |
int nd_sp_f4(int m,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; |
|
|
sp0 = 0; |
|
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,0,t,&spol); |
if ( !stat ) return 0; |
if ( !stat ) return 0; |
if ( spol ) { |
if ( spol ) { |
NEXTNODE(sp0,sp); BDY(sp) = (pointer)nd_dup(spol); |
|
add_pbucket_symbolic(bucket,spol); |
add_pbucket_symbolic(bucket,spol); |
} |
} |
} |
} |
*s = sp0; |
|
return 1; |
return 1; |
} |
} |
|
|
Line 3899 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec |
|
Line 4009 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec |
|
{ |
{ |
NODE rp0,rp; |
NODE rp0,rp; |
NM mul,head,s0,s; |
NM mul,head,s0,s; |
int index,col,i; |
int index,col,i,sugar; |
RHist h; |
RHist h; |
UINT *s0v,*p; |
UINT *s0v,*p; |
NM_ind_pair pair; |
NM_ind_pair pair; |
Line 3918 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec |
|
Line 4028 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; |
MKNM_ind_pair(pair,mul,index); |
sugar = TD(DL(mul))+SG(nd_ps[index]); |
|
MKNM_ind_pair(pair,mul,index,sugar); |
red = ndv_mul_nm_symbolic(mul,nd_ps[index]); |
red = ndv_mul_nm_symbolic(mul,nd_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 3935 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec |
|
Line 4046 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec |
|
return col; |
return col; |
} |
} |
|
|
#if 0 |
|
NODE nd_f4(int m) |
NODE nd_f4(int m) |
{ |
{ |
int i,nh,stat,index; |
int i,nh,stat,index; |
Line 3944 NODE nd_f4(int m) |
|
Line 4054 NODE nd_f4(int m) |
|
ND spol,red; |
ND spol,red; |
NDV nf,redv; |
NDV nf,redv; |
NM s0,s; |
NM s0,s; |
NODE sp0,sp,rp0,rp; |
NODE rp0,srp0,nflist; |
int nsp,nred,col,rank,len,k,j,a; |
int nsp,nred,col,rank,len,k,j,a; |
UINT c; |
UINT c; |
|
UINT **spmat; |
UINT *s0vect,*svect,*p,*v; |
UINT *s0vect,*svect,*p,*v; |
int *colstat; |
int *colstat; |
IndArray *imat; |
IndArray *imat; |
Line 3955 NODE nd_f4(int m) |
|
Line 4066 NODE nd_f4(int m) |
|
int sugar; |
int sugar; |
PGeoBucket bucket; |
PGeoBucket bucket; |
struct oEGT eg0,eg1,eg_f4; |
struct oEGT eg0,eg1,eg_f4; |
static UINT **spmat; |
|
static UINT *spb; |
|
static int spblen; |
|
|
|
if ( !m ) |
if ( !m ) |
error("nd_f4 : not implemented"); |
error("nd_f4 : not implemented"); |
|
#if 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); |
g = update_base(g,i); |
g = update_base(g,i); |
} |
} |
if ( !spmat ) { |
|
spmat = (UINT **)MALLOC(nd_f4_nsp*sizeof(UINT *)); |
|
spblen = 10000; |
|
spb = (UINT *)MALLOC_ATOMIC(nd_f4_nsp*spblen*sizeof(UINT)); |
|
} |
|
while ( d ) { |
while ( d ) { |
get_eg(&eg0); |
get_eg(&eg0); |
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,&sp0); |
stat = nd_sp_f4(m,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 ( !sp0 ) continue; |
if ( bucket->m < 0 ) continue; |
col = nd_symbolic_preproc(bucket,&s0vect,&rp0); |
col = nd_symbolic_preproc(bucket,&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); |
|
if ( DP_Print ) |
|
fprintf(asir_out,"sugar=%d,symb=%fsec,", |
|
sugar,eg_f4.exectime+eg_f4.gctime); |
|
if ( 1 ) |
|
nflist = nd_f4_red(m,l,s0vect,col,rp0); |
|
else |
|
nflist = nd_f4_red_dist(m,l,s0vect,col,rp0); |
|
/* adding new bases */ |
|
for ( r = nflist; r; r = NEXT(r) ) { |
|
nf = (NDV)BDY(r); |
|
ndv_removecont(m,nf); |
|
nh = ndv_newps(m,nf,0); |
|
d = update_pairs(d,g,nh); |
|
g = update_base(g,nh); |
|
} |
|
} |
|
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); |
|
#endif |
|
return g; |
|
} |
|
|
nsp = length(sp0); nred = length(rp0); spcol = col-nred; |
NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0) |
imat = (IndArray *)MALLOC(nred*sizeof(IndArray)); |
{ |
rhead = (int *)MALLOC_ATOMIC(col*sizeof(int)); |
IndArray *imat; |
for ( i = 0; i < col; i++ ) rhead[i] = 0; |
int nsp,nred,spcol,sprow,a; |
|
int *rhead; |
|
int i,j,k,l,rank; |
|
NODE rp,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; |
|
NM_ind_pair *rvect; |
|
int maxrs; |
|
int *spsugar; |
|
|
/* construction of index arrays */ |
get_eg(&eg0); |
for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) { |
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,(NM_ind_pair)BDY(rp)); |
nred = length(rp0); spcol = col-nred; |
rhead[imat[i]->head] = 1; |
imat = (IndArray *)ALLOCA(nred*sizeof(IndArray)); |
} |
rhead = (int *)ALLOCA(col*sizeof(int)); |
|
for ( i = 0; i < col; i++ ) rhead[i] = 0; |
|
|
/* elimination (1st step) */ |
/* construction of index arrays */ |
svect = (UINT *)MALLOC_ATOMIC(col*sizeof(UINT)); |
rvect = (NM_ind_pair *)ALLOCA(nred*sizeof(NM_ind_pair)); |
if ( spcol > spblen ) { |
for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) { |
spblen = spcol; |
rvect[i] = (NM_ind_pair)BDY(rp); |
spb = REALLOC(spb,spblen*nd_f4_nsp*sizeof(UINT)); |
imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rvect[i]); |
|
rhead[imat[i]->head] = 1; |
|
} |
|
|
|
/* elimination (1st step) */ |
|
spmat = (int **)ALLOCA(nsp*sizeof(UINT *)); |
|
svect = (UINT *)ALLOCA(col*sizeof(UINT)); |
|
spsugar = (int *)ALLOCA(nsp*sizeof(UINT)); |
|
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
|
nd_sp(m,0,sp,&spol); |
|
if ( !spol ) continue; |
|
nd_to_vect(m,s0vect,col,spol,svect); |
|
if ( m == -1 ) |
|
maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred); |
|
else |
|
maxrs = ndv_reduce_vect(m,svect,col,imat,rvect,nred); |
|
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
|
if ( i < col ) { |
|
spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT)); |
|
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); |
|
|
for ( a = sprow = 0, sp = sp0, p = spb; a < nsp; a++, sp = NEXT(sp) ) { |
/* elimination (2nd step) */ |
nd_to_vect(m,s0vect,col,BDY(sp),svect); |
colstat = (int *)ALLOCA(spcol*sizeof(int)); |
ndv_reduce_vect(m,svect,col,imat,rp0); |
if ( m == -1 ) |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat); |
if ( i < col ) { |
else |
spmat[sprow] = p; |
rank = nd_gauss_elim_mod(spmat,spsugar,sprow,spcol,m,colstat); |
v = spmat[sprow]; |
r0 = 0; |
for ( j = k = 0; j < col; j++ ) |
for ( i = 0; i < rank; i++ ) { |
if ( !rhead[j] ) v[k++] = svect[j]; |
NEXTNODE(r0,r); BDY(r) = |
sprow++; |
(pointer)vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
p += k; |
SG((NDV)BDY(r)) = spsugar[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); |
|
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; |
|
} |
|
|
|
FILE *nd_write,*nd_read; |
|
|
|
void nd_send_int(int a) { |
|
write_int(nd_write,&a); |
|
} |
|
|
|
void nd_send_intarray(int *p,int len) { |
|
write_intarray(nd_write,p,len); |
|
} |
|
|
|
int nd_recv_int() { |
|
int a; |
|
|
|
read_int(nd_read,&a); |
|
return a; |
|
} |
|
|
|
void nd_recv_intarray(int *p,int len) { |
|
read_intarray(nd_read,p,len); |
|
} |
|
|
|
void nd_send_ndv(NDV p) { |
|
int len,i; |
|
NMV m; |
|
|
|
if ( !p ) nd_send_int(0); |
|
else { |
|
len = LEN(p); |
|
nd_send_int(len); |
|
m = BDY(p); |
|
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
|
nd_send_int(CM(m)); |
|
nd_send_intarray(DL(m),nd_wpd); |
} |
} |
/* free index arrays */ |
} |
for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c); |
} |
|
|
/* elimination (2nd step) */ |
void nd_send_nd(ND p) { |
colstat = (int *)ALLOCA(spcol*sizeof(int)); |
int len,i; |
rank = generic_gauss_elim_mod(spmat,sprow,spcol,m,colstat); |
NM m; |
|
|
get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1); |
if ( !p ) nd_send_int(0); |
if ( DP_Print ) { |
else { |
fprintf(asir_out,"sugar=%d,nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
len = LEN(p); |
sugar,nsp,nred,sprow,spcol,rank); |
nd_send_int(len); |
fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime); |
m = BDY(p); |
|
for ( i = 0; i < len; i++, m = NEXT(m) ) { |
|
nd_send_int(CM(m)); |
|
nd_send_intarray(DL(m),nd_wpd); |
} |
} |
|
} |
|
} |
|
|
/* adding new bases */ |
NDV nd_recv_ndv() |
for ( i = 0; i < rank; i++ ) { |
{ |
nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
int len,i; |
SG(nf) = sugar; |
NMV m,m0; |
ndv_removecont(m,nf); |
NDV r; |
nh = ndv_newps(nf,0); |
|
d = update_pairs(d,g,nh); |
len = nd_recv_int(); |
g = update_base(g,nh); |
if ( !len ) return 0; |
|
else { |
|
m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len); |
|
#if 0 |
|
ndv_alloc += len*nmv_adv; |
|
#endif |
|
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
|
CM(m) = nd_recv_int(); |
|
nd_recv_intarray(DL(m),nd_wpd); |
} |
} |
|
MKNDV(nd_nvar,m0,len,r); |
|
return r; |
} |
} |
for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps[(int)BDY(r)]; |
|
return g; |
|
} |
} |
#else |
|
NODE nd_f4(int m) |
int ox_exec_f4_red(Q proc) |
{ |
{ |
int i,nh,stat,index; |
Obj obj; |
NODE r,g; |
STRING fname; |
ND_pairs d,l,t; |
NODE arg; |
ND spol,red; |
int s; |
NDV nf,redv; |
extern int ox_need_conv,ox_file_io; |
NM s0,s; |
|
NODE sp0,sp,rp0,rp; |
MKSTR(fname,"nd_exec_f4_red"); |
int nsp,nred,col,rank,len,k,j,a; |
arg = mknode(2,proc,fname); |
UINT c; |
Pox_cmo_rpc(arg,&obj); |
UINT **spmat; |
s = get_ox_server_id(QTOS(proc)); |
UINT *s0vect,*svect,*p,*v; |
nd_write = iofp[s].out; |
int *colstat; |
nd_read = iofp[s].in; |
|
ox_need_conv = ox_file_io = 0; |
|
return s; |
|
} |
|
|
|
NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0) |
|
{ |
|
int nsp,nred; |
|
int i,rank,s; |
|
NODE rp,r0,r; |
|
ND_pairs sp; |
|
NM_ind_pair pair; |
|
NMV nmv; |
|
NM nm; |
|
NDV nf; |
|
Obj proc,dmy; |
|
|
|
ox_launch_main(0,0,&proc); |
|
s = ox_exec_f4_red((Q)proc); |
|
|
|
nd_send_int(m); |
|
nd_send_int(nd_nvar); |
|
nd_send_int(nd_bpe); |
|
nd_send_int(nd_wpd); |
|
nd_send_int(nmv_adv); |
|
|
|
saveobj(nd_write,dp_current_spec->obj); fflush(nd_write); |
|
|
|
nd_send_int(nd_psn); |
|
for ( i = 0; i < nd_psn; i++ ) nd_send_ndv(nd_ps[i]); |
|
|
|
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
|
nd_send_int(nsp); |
|
for ( i = 0, sp = sp0; i < nsp; i++, sp = NEXT(sp) ) { |
|
nd_send_int(sp->i1); nd_send_int(sp->i2); |
|
} |
|
|
|
nd_send_int(col); nd_send_intarray(s0vect,col*nd_wpd); |
|
|
|
nred = length(rp0); nd_send_int(nred); |
|
for ( i = 0, rp = rp0; i < nred; i++, rp = NEXT(rp) ) { |
|
pair = (NM_ind_pair)BDY(rp); |
|
nd_send_int(pair->index); |
|
nd_send_intarray(pair->mul->dl,nd_wpd); |
|
} |
|
fflush(nd_write); |
|
rank = nd_recv_int(); |
|
fprintf(asir_out,"rank=%d\n",rank); |
|
r0 = 0; |
|
for ( i = 0; i < rank; i++ ) { |
|
nf = nd_recv_ndv(); |
|
NEXTNODE(r0,r); BDY(r) = (pointer)nf; |
|
} |
|
Pox_shutdown(mknode(1,proc),&dmy); |
|
return r0; |
|
} |
|
|
|
/* server side */ |
|
|
|
void nd_exec_f4_red_dist() |
|
{ |
|
int m,i,nsp,col,s0size,nred,spcol,j,k; |
|
NM_ind_pair *rp0; |
|
NDV nf; |
|
UINT *s0vect; |
IndArray *imat; |
IndArray *imat; |
int *rhead; |
int *rhead; |
int spcol,sprow; |
int **spmat; |
int sugar; |
UINT *svect,*v; |
PGeoBucket bucket; |
ND_pairs *sp0; |
struct oEGT eg0,eg1,eg_f4; |
int *colstat; |
|
int a,sprow,rank; |
|
struct order_spec *ord; |
|
Obj ordspec; |
|
ND spol; |
|
int maxrs; |
|
int *spsugar; |
|
|
if ( !m ) |
nd_read = iofp[0].in; |
error("nd_f4 : not implemented"); |
nd_write = iofp[0].out; |
|
m = nd_recv_int(); |
|
nd_nvar = nd_recv_int(); |
|
nd_bpe = nd_recv_int(); |
|
nd_wpd = nd_recv_int(); |
|
nmv_adv = nd_recv_int(); |
|
|
g = 0; d = 0; |
loadobj(nd_read,&ordspec); |
|
create_order_spec(0,ordspec,&ord); |
|
nd_init_ord(ord); |
|
nd_setup_parameters(nd_nvar,0); |
|
|
|
nd_psn = nd_recv_int(); |
|
nd_ps = (NDV *)MALLOC(nd_psn*sizeof(NDV)); |
|
nd_bound = (UINT **)MALLOC(nd_psn*sizeof(UINT *)); |
for ( i = 0; i < nd_psn; i++ ) { |
for ( i = 0; i < nd_psn; i++ ) { |
d = update_pairs(d,g,i); |
nd_ps[i] = nd_recv_ndv(); |
g = update_base(g,i); |
nd_bound[i] = ndv_compute_bound(nd_ps[i]); |
} |
} |
while ( d ) { |
|
get_eg(&eg0); |
nsp = nd_recv_int(); |
l = nd_minsugarp(d,&d); |
sp0 = (ND_pairs *)MALLOC(nsp*sizeof(ND_pairs)); |
sugar = SG(l); |
for ( i = 0; i < nsp; i++ ) { |
bucket = create_pbucket(); |
NEWND_pairs(sp0[i]); |
stat = nd_sp_f4(m,l,bucket,&sp0); |
sp0[i]->i1 = nd_recv_int(); sp0[i]->i2 = nd_recv_int(); |
if ( !stat ) { |
ndl_lcm(HDL(nd_ps[sp0[i]->i1]),HDL(nd_ps[sp0[i]->i2]),LCM(sp0[i])); |
for ( t = l; NEXT(t); t = NEXT(t) ); |
} |
NEXT(t) = d; d = l; |
|
d = nd_reconstruct(m,0,d); |
col = nd_recv_int(); |
|
s0size = col*nd_wpd; |
|
s0vect = (UINT *)MALLOC(s0size*sizeof(UINT)); |
|
nd_recv_intarray(s0vect,s0size); |
|
|
|
nred = nd_recv_int(); |
|
rp0 = (NM_ind_pair *)MALLOC(nred*sizeof(NM_ind_pair)); |
|
for ( i = 0; i < nred; i++ ) { |
|
rp0[i] = (NM_ind_pair)MALLOC(sizeof(struct oNM_ind_pair)); |
|
rp0[i]->index = nd_recv_int(); |
|
rp0[i]->mul = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); |
|
nd_recv_intarray(rp0[i]->mul->dl,nd_wpd); |
|
} |
|
|
|
spcol = col-nred; |
|
imat = (IndArray *)MALLOC(nred*sizeof(IndArray)); |
|
rhead = (int *)MALLOC(col*sizeof(int)); |
|
for ( i = 0; i < col; i++ ) rhead[i] = 0; |
|
|
|
/* construction of index arrays */ |
|
for ( i = 0; i < nred; i++ ) { |
|
imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rp0[i]); |
|
rhead[imat[i]->head] = 1; |
|
} |
|
|
|
/* elimination (1st step) */ |
|
spmat = (int **)MALLOC(nsp*sizeof(UINT *)); |
|
svect = (UINT *)MALLOC(col*sizeof(UINT)); |
|
spsugar = (int *)ALLOCA(nsp*sizeof(UINT)); |
|
for ( a = sprow = 0; a < nsp; a++ ) { |
|
nd_sp(m,0,sp0[a],&spol); |
|
if ( !spol ) continue; |
|
nd_to_vect(m,s0vect,col,spol,svect); |
|
if ( m == -1 ) |
|
maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rp0,nred); |
|
else |
|
maxrs = ndv_reduce_vect(m,svect,col,imat,rp0,nred); |
|
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
|
if ( i < col ) { |
|
spmat[sprow] = v = (UINT *)MALLOC(spcol*sizeof(UINT)); |
|
for ( j = k = 0; j < col; j++ ) |
|
if ( !rhead[j] ) v[k++] = svect[j]; |
|
spsugar[sprow] = MAX(maxrs,SG(spol)); |
|
sprow++; |
|
} |
|
nd_free(spol); |
|
} |
|
/* elimination (2nd step) */ |
|
colstat = (int *)ALLOCA(spcol*sizeof(int)); |
|
if ( m == -1 ) |
|
rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat); |
|
else |
|
rank = nd_gauss_elim_mod(spmat,spsugar,sprow,spcol,m,colstat); |
|
nd_send_int(rank); |
|
for ( i = 0; i < rank; i++ ) { |
|
nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
|
nd_send_ndv(nf); |
|
} |
|
fflush(nd_write); |
|
} |
|
|
|
int nd_gauss_elim_mod(int **mat0,int *sugar,int row,int col,int md,int *colstat) |
|
{ |
|
int i,j,k,l,inv,a,rank,s; |
|
unsigned int *t,*pivot,*pk; |
|
unsigned int **mat; |
|
|
|
mat = (unsigned int **)mat0; |
|
for ( rank = 0, j = 0; j < col; j++ ) { |
|
for ( i = rank; i < row; i++ ) |
|
mat[i][j] %= md; |
|
for ( i = rank; i < row; i++ ) |
|
if ( mat[i][j] ) |
|
break; |
|
if ( i == row ) { |
|
colstat[j] = 0; |
continue; |
continue; |
|
} else |
|
colstat[j] = 1; |
|
if ( i != rank ) { |
|
t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; |
|
s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s; |
} |
} |
if ( !sp0 ) continue; |
pivot = mat[rank]; |
col = nd_symbolic_preproc(bucket,&s0vect,&rp0); |
s = sugar[rank]; |
if ( !col ) { |
inv = invm(pivot[j],md); |
for ( t = l; NEXT(t); t = NEXT(t) ); |
for ( k = j, pk = pivot+k; k < col; k++, pk++ ) |
NEXT(t) = d; d = l; |
if ( *pk ) { |
d = nd_reconstruct(m,0,d); |
if ( *pk >= (unsigned int)md ) |
|
*pk %= md; |
|
DMAR(*pk,inv,0,md,*pk) |
|
} |
|
for ( i = rank+1; i < row; i++ ) { |
|
t = mat[i]; |
|
if ( a = t[j] ) { |
|
sugar[i] = MAX(sugar[i],s); |
|
red_by_vect(md,t+j,pivot+j,md-a,col-j); |
|
} |
|
} |
|
rank++; |
|
} |
|
for ( j = col-1, l = rank-1; j >= 0; j-- ) |
|
if ( colstat[j] ) { |
|
pivot = mat[l]; |
|
s = sugar[l]; |
|
for ( i = 0; i < l; i++ ) { |
|
t = mat[i]; |
|
t[j] %= md; |
|
if ( a = t[j] ) { |
|
sugar[i] = MAX(sugar[i],s); |
|
red_by_vect(md,t+j,pivot+j,md-a,col-j); |
|
} |
|
} |
|
l--; |
|
} |
|
for ( j = 0, l = 0; l < rank; j++ ) |
|
if ( colstat[j] ) { |
|
t = mat[l]; |
|
for ( k = j; k < col; k++ ) |
|
if ( t[k] >= (unsigned int)md ) |
|
t[k] %= md; |
|
l++; |
|
} |
|
return rank; |
|
} |
|
|
|
int nd_gauss_elim_sf(int **mat0,int *sugar,int row,int col,int md,int *colstat) |
|
{ |
|
int i,j,k,l,inv,a,rank,s; |
|
unsigned int *t,*pivot,*pk; |
|
unsigned int **mat; |
|
|
|
mat = (unsigned int **)mat0; |
|
for ( rank = 0, j = 0; j < col; j++ ) { |
|
for ( i = rank; i < row; i++ ) |
|
if ( mat[i][j] ) |
|
break; |
|
if ( i == row ) { |
|
colstat[j] = 0; |
continue; |
continue; |
|
} else |
|
colstat[j] = 1; |
|
if ( i != rank ) { |
|
t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; |
|
s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s; |
} |
} |
|
pivot = mat[rank]; |
|
s = sugar[rank]; |
|
inv = _invsf(pivot[j]); |
|
for ( k = j, pk = pivot+k; k < col; k++, pk++ ) |
|
if ( *pk ) |
|
*pk = _mulsf(*pk,inv); |
|
for ( i = rank+1; i < row; i++ ) { |
|
t = mat[i]; |
|
if ( a = t[j] ) { |
|
sugar[i] = MAX(sugar[i],s); |
|
red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j); |
|
} |
|
} |
|
rank++; |
|
} |
|
for ( j = col-1, l = rank-1; j >= 0; j-- ) |
|
if ( colstat[j] ) { |
|
pivot = mat[l]; |
|
s = sugar[l]; |
|
for ( i = 0; i < l; i++ ) { |
|
t = mat[i]; |
|
if ( a = t[j] ) { |
|
sugar[i] = MAX(sugar[i],s); |
|
red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j); |
|
} |
|
} |
|
l--; |
|
} |
|
return rank; |
|
} |
|
|
nsp = length(sp0); nred = length(rp0); spcol = col-nred; |
int ndv_ishomo(NDV p) |
imat = (IndArray *)MALLOC(nred*sizeof(IndArray)); |
{ |
rhead = (int *)MALLOC_ATOMIC(col*sizeof(int)); |
NMV m; |
for ( i = 0; i < col; i++ ) rhead[i] = 0; |
int len,h; |
|
|
/* construction of index arrays */ |
if ( !p ) return 1; |
for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) { |
len = LEN(p); |
imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,(NM_ind_pair)BDY(rp)); |
m = BDY(p); |
rhead[imat[i]->head] = 1; |
h = TD(DL(m)); |
|
NMV_ADV(m); |
|
for ( len--; len; len--, NMV_ADV(m) ) |
|
if ( TD(DL(m)) != h ) return 0; |
|
return 1; |
|
} |
|
|
|
void ndv_save(NDV p,int index) |
|
{ |
|
FILE *s; |
|
char name[BUFSIZ]; |
|
short id; |
|
int nv,sugar,len,n,i,td,e,j; |
|
NMV m; |
|
unsigned int *dl; |
|
|
|
sprintf(name,"%s/%d",Demand,index); |
|
s = fopen(name,"w"); |
|
savevl(s,0); |
|
if ( !p ) { |
|
saveobj(s,0); |
|
return; |
|
} |
|
id = O_DP; |
|
nv = NV(p); |
|
sugar = SG(p); |
|
len = LEN(p); |
|
write_short(s,&id); write_int(s,&nv); write_int(s,&sugar); |
|
write_int(s,&len); |
|
|
|
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
|
saveobj(s,(Obj)CQ(m)); |
|
dl = DL(m); |
|
td = TD(dl); |
|
write_int(s,&td); |
|
for ( j = 0; j < nv; j++ ) { |
|
e = GET_EXP(dl,j); |
|
write_int(s,&e); |
} |
} |
|
} |
|
fclose(s); |
|
} |
|
|
/* elimination (1st step) */ |
NDV ndv_load(int index) |
spmat = (UINT **)MALLOC(nsp*sizeof(UINT *)); |
{ |
svect = (UINT *)MALLOC_ATOMIC(col*sizeof(UINT)); |
FILE *s; |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
char name[BUFSIZ]; |
nd_to_vect(m,s0vect,col,BDY(sp),svect); |
short id; |
if ( m == -1 ) ndv_reduce_vect_sf(m,svect,col,imat,rp0); |
int nv,sugar,len,n,i,td,e,j; |
else ndv_reduce_vect(m,svect,col,imat,rp0); |
NDV d; |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
NMV m0,m; |
if ( i < col ) { |
unsigned int *dl; |
spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT)); |
Obj obj; |
for ( j = k = 0; j < col; j++ ) |
|
if ( !rhead[j] ) v[k++] = svect[j]; |
sprintf(name,"%s/%d",Demand,index); |
sprow++; |
s = fopen(name,"r"); |
} |
if ( !s ) return 0; |
|
|
|
skipvl(s); |
|
read_short(s,&id); |
|
if ( !id ) return 0; |
|
read_int(s,&nv); |
|
read_int(s,&sugar); |
|
read_int(s,&len); |
|
|
|
m0 = m = MALLOC(len*nmv_adv); |
|
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
|
loadobj(s,&obj); CQ(m) = (Q)obj; |
|
dl = DL(m); |
|
ndl_zero(dl); |
|
read_int(s,&td); TD(dl) = td; |
|
for ( j = 0; j < nv; j++ ) { |
|
read_int(s,&e); |
|
PUT_EXP(dl,j,e); |
} |
} |
/* free index arrays */ |
if ( nd_blockmask ) ndl_weight_mask(dl); |
for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c); |
} |
|
fclose(s); |
|
MKNDV(nv,m0,len,d); |
|
SG(d) = sugar; |
|
return d; |
|
} |
|
|
/* elimination (2nd step) */ |
void nd_det(int mod,MAT f,P *rp) |
colstat = (int *)ALLOCA(spcol*sizeof(int)); |
{ |
if ( m == -1 ) |
VL fv,tv; |
rank = generic_gauss_elim_sf(spmat,sprow,spcol,m,colstat); |
int n,i,j,max,e,nvar,sgn,k0,l0,len0,len,k,l,a; |
else |
pointer **m; |
rank = generic_gauss_elim_mod(spmat,sprow,spcol,m,colstat); |
Q mone; |
|
NDV **dm; |
|
NDV *t,*mi,*mj; |
|
NDV d,s,mij,mjj; |
|
ND u; |
|
NMV nmv; |
|
PGeoBucket bucket; |
|
struct order_spec *ord; |
|
|
get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1); |
create_order_spec(0,0,&ord); |
if ( DP_Print ) { |
nd_init_ord(ord); |
fprintf(asir_out,"sugar=%d,nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
get_vars((Obj)f,&fv); |
sugar,nsp,nred,sprow,spcol,rank); |
if ( f->row != f->col ) |
fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime); |
error("nd_det : non-square matrix"); |
|
n = f->row; |
|
for ( nvar = 0, tv = fv; tv; tv = NEXT(tv), nvar++ ); |
|
m = f->body; |
|
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,1024); |
|
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++ ) { |
|
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; |
|
} |
|
for ( i = j+1, mj = dm[j], mjj = mj[j]; i < 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++ ) { |
|
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 = normalize_pbucket(mod,bucket); |
|
u = nd_quo(mod,u,d); |
|
mi[k] = ndtondv(mod,u); |
|
} |
|
} |
|
d = mjj; |
|
} |
|
if ( sgn < 0 ) |
|
if ( mod ) |
|
ndv_mul_c(mod,d,mod-1); |
|
else |
|
ndv_mul_c_q(d,mone); |
|
*rp = ndvtop(mod,CO,fv,d); |
|
} |
|
|
/* adding new bases */ |
ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d) |
for ( i = 0; i < rank; i++ ) { |
{ |
nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
NM mr,mr0; |
SG(nf) = sugar; |
NM tnm; |
ndv_removecont(m,nf); |
NMV m; |
nh = ndv_newps(nf,0); |
UINT *d0,*dt,*dm; |
d = update_pairs(d,g,nh); |
int c,n,td,i,c1,c2,len; |
g = update_base(g,nh); |
Q q; |
GC_free(spmat[i]); |
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_add(DL(m),d0,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_add(DL(m),d0,DL(mr)); |
|
} |
|
} |
} |
} |
for ( ; i < sprow; i++ ) GC_free(spmat[i]); |
if ( !mr0 ) |
|
return 0; |
|
else { |
|
NEXT(mr) = 0; |
|
MKND(NV(p),mr0,len,r); |
|
SG(r) = SG(p) + TD(d0); |
|
return r; |
|
} |
} |
} |
for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps[(int)BDY(r)]; |
|
return g; |
|
} |
} |
#endif |
|