version 1.51, 2006/03/16 10:08:20 |
version 1.66, 2015/03/04 08:44:26 |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/array.c,v 1.50 2006/01/05 00:21:20 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/array.c,v 1.65 2013/12/20 02:02:23 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
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#include <sys/types.h> |
#include <sys/types.h> |
#include <sys/stat.h> |
#include <sys/stat.h> |
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#if !defined(_MSC_VER) |
#include <unistd.h> |
#include <unistd.h> |
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#endif |
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#define F4_INTRAT_PERIOD 8 |
#define F4_INTRAT_PERIOD 8 |
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void Pmat(); |
void Pmat(); |
void Pmatc(); |
void Pmatc(); |
void Pnd_det(); |
void Pnd_det(); |
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void Plu_mat(); |
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void Pmat_col(); |
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void Plusolve_prep(); |
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void Plusolve_main(); |
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struct ftab array_tab[] = { |
struct ftab array_tab[] = { |
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{"lu_mat",Plu_mat,1}, |
{"solve_by_lu_gfmmat",Psolve_by_lu_gfmmat,4}, |
{"solve_by_lu_gfmmat",Psolve_by_lu_gfmmat,4}, |
{"lu_gfmmat",Plu_gfmmat,2}, |
{"lu_gfmmat",Plu_gfmmat,2}, |
{"mat_to_gfmmat",Pmat_to_gfmmat,2}, |
{"mat_to_gfmmat",Pmat_to_gfmmat,2}, |
Line 138 struct ftab array_tab[] = { |
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Line 145 struct ftab array_tab[] = { |
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{"nbpoly_up2",Pnbpoly_up2,2}, |
{"nbpoly_up2",Pnbpoly_up2,2}, |
{"mat_swap_row_destructive",Pmat_swap_row_destructive,3}, |
{"mat_swap_row_destructive",Pmat_swap_row_destructive,3}, |
{"mat_swap_col_destructive",Pmat_swap_col_destructive,3}, |
{"mat_swap_col_destructive",Pmat_swap_col_destructive,3}, |
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{"mat_col",Pmat_col,2}, |
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{"lusolve_prep",Plusolve_prep,1}, |
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{"lusolve_main",Plusolve_main,1}, |
{0,0,0}, |
{0,0,0}, |
}; |
}; |
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typedef struct _ent { int j; unsigned int e; } ent; |
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ent *get_row(FILE *,int *l); |
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void put_row(FILE *out,int l,ent *a); |
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int lu_elim(int *l,ent **a,int k,int i,int mul,int mod); |
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static int *ul,*ll; |
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static ent **u,**l; |
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static int modulus; |
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void Plusolve_prep(NODE arg,Q *rp) |
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{ |
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char *fname; |
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FILE *in; |
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int len,i,rank; |
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int *rhs; |
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fname = BDY((STRING)ARG0(arg)); |
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in = fopen(fname,"r"); |
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modulus = getw(in); |
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len = getw(in); |
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ul = (int *)MALLOC_ATOMIC(len*sizeof(int)); |
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u = (ent **)MALLOC(len*sizeof(ent *)); |
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ll = (int *)MALLOC_ATOMIC(len*sizeof(int)); |
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l = (ent **)MALLOC(len*sizeof(ent *)); |
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for ( i = 0; i < len; i++ ) { |
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u[i] = get_row(in,&ul[i]); |
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} |
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for ( i = 0; i < len; i++ ) { |
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l[i] = get_row(in,&ll[i]); |
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} |
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fclose(in); |
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*rp = ONE; |
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} |
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void Plusolve_main(NODE arg,VECT *rp) |
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{ |
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Q *d,*p; |
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VECT v,r; |
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int len,i; |
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int *rhs; |
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v = (VECT)ARG0(arg); len = v->len; |
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d = (Q *)BDY(v); |
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rhs = (int *)MALLOC_ATOMIC(len*sizeof(int)); |
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for ( i = 0; i < len; i++ ) rhs[i] = QTOS(d[i]); |
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solve_l(ll,l,len,rhs,modulus); |
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solve_u(ul,u,len,rhs,modulus); |
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NEWVECT(r); r->len = len; |
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r->body = (pointer *)MALLOC(len*sizeof(pointer)); |
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p = (Q *)r->body; |
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for ( i = 0; i < len; i++ ) |
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STOQ(rhs[i],p[i]); |
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*rp = r; |
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} |
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ent *get_row(FILE *in,int *l) |
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{ |
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int len,i; |
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ent *a; |
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*l = len = getw(in); |
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a = (ent *)MALLOC_ATOMIC(len*sizeof(ent)); |
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for ( i = 0; i < len; i++ ) { |
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a[i].j = getw(in); |
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a[i].e = getw(in); |
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} |
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return a; |
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} |
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int lu_gauss(int *ul,ent **u,int *ll,ent **l,int n,int mod) |
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{ |
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int i,j,k,s,mul; |
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unsigned int inv; |
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int *ll2; |
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ll2 = (int *)MALLOC_ATOMIC(n*sizeof(int)); |
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for ( i = 0; i < n; i++ ) ll2[i] = 0; |
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for ( i = 0; i < n; i++ ) { |
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fprintf(stderr,"i=%d\n",i); |
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inv = invm(u[i][0].e,mod); |
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for ( k = i+1; k < n; k++ ) |
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if ( u[k][0].j == n-i ) { |
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s = u[k][0].e; |
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DMAR(s,inv,0,mod,mul); |
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lu_elim(ul,u,k,i,mul,mod); |
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lu_append(ll,l,ll2,k,i,mul); |
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} |
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} |
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} |
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#define INITLEN 10 |
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lu_append(int *l,ent **a,int *l2,int k,int i,int mul) |
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{ |
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int len; |
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ent *p; |
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len = l[k]; |
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if ( !len ) { |
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a[k] = p = (ent *)MALLOC_ATOMIC(INITLEN*sizeof(ent)); |
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p[0].j = i; p[0].e = mul; |
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l[k] = 1; l2[k] = INITLEN; |
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} else { |
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if ( l2[k] == l[k] ) { |
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l2[k] *= 2; |
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a[k] = REALLOC(a[k],l2[k]*sizeof(ent)); |
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} |
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p =a[k]; |
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p[l[k]].j = i; p[l[k]].e = mul; |
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l[k]++; |
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} |
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} |
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/* a[k] = a[k]-mul*a[i] */ |
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int lu_elim(int *l,ent **a,int k,int i,int mul,int mod) |
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{ |
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ent *ak,*ai,*w; |
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int lk,li,j,m,p,q,r,s,t,j0; |
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ak = a[k]; ai = a[i]; lk = l[k]; li = l[i]; |
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w = (ent *)alloca((lk+li)*sizeof(ent)); |
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p = 0; q = 0; j = 0; |
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mul = mod-mul; |
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while ( p < lk && q < li ) { |
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if ( ak[p].j > ai[q].j ) { |
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w[j] = ak[p]; j++; p++; |
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} else if ( ak[p].j < ai[q].j ) { |
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w[j].j = ai[q].j; |
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t = ai[q].e; |
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DMAR(t,mul,0,mod,r); |
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w[j].e = r; |
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j++; q++; |
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} else { |
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t = ai[q].e; s = ak[p].e; |
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DMAR(t,mul,s,mod,r); |
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if ( r ) { |
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w[j].j = ai[q].j; w[j].e = r; j++; |
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} |
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p++; q++; |
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} |
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} |
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if ( q == li ) |
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while ( p < lk ) { |
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w[j] = ak[p]; j++; p++; |
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} |
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else if ( p == lk ) |
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while ( q < li ) { |
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w[j].j = ai[q].j; |
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t = ai[q].e; |
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DMAR(t,mul,0,mod,r); |
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w[j].e = r; |
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j++; q++; |
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} |
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if ( j <= lk ) { |
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for ( m = 0; m < j; m++ ) ak[m] = w[m]; |
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} else { |
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a[k] = ak = (ent *)MALLOC_ATOMIC(j*sizeof(ent)); |
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for ( m = 0; m < j; m++ ) ak[m] = w[m]; |
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} |
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l[k] = j; |
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} |
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int solve_l(int *ll,ent **l,int n,int *rhs,int mod) |
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{ |
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int j,k,s,len; |
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ent *p; |
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for ( j = 0; j < n; j++ ) { |
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len = ll[j]; p = l[j]; |
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for ( k = 0, s = 0; k < len; k++ ) |
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s = dmar(p[k].e,rhs[p[k].j],s,mod); |
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rhs[j] -= s; |
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if ( rhs[j] < 0 ) rhs[j] += mod; |
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} |
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} |
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int solve_u(int *ul,ent **u,int n,int *rhs,int mod) |
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{ |
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int j,k,s,len,inv; |
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ent *p; |
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for ( j = n-1; j >= 0; j-- ) { |
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len = ul[j]; p = u[j]; |
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for ( k = 1, s = 0; k < len; k++ ) |
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s = dmar(p[k].e,rhs[p[k].j],s,mod); |
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rhs[j] -= s; |
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if ( rhs[j] < 0 ) rhs[j] += mod; |
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inv = invm((unsigned int)p[0].e,mod); |
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rhs[j] = dmar(rhs[j],inv,0,mod); |
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} |
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} |
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int comp_obj(Obj *a,Obj *b) |
int comp_obj(Obj *a,Obj *b) |
{ |
{ |
return arf_comp(CO,*a,*b); |
return arf_comp(CO,*a,*b); |
Line 148 int comp_obj(Obj *a,Obj *b) |
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Line 352 int comp_obj(Obj *a,Obj *b) |
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static FUNC generic_comp_obj_func; |
static FUNC generic_comp_obj_func; |
static NODE generic_comp_obj_arg; |
static NODE generic_comp_obj_arg; |
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static NODE generic_comp_obj_option; |
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int generic_comp_obj(Obj *a,Obj *b) |
int generic_comp_obj(Obj *a,Obj *b) |
{ |
{ |
Line 155 int generic_comp_obj(Obj *a,Obj *b) |
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Line 360 int generic_comp_obj(Obj *a,Obj *b) |
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BDY(generic_comp_obj_arg)=(pointer)(*a); |
BDY(generic_comp_obj_arg)=(pointer)(*a); |
BDY(NEXT(generic_comp_obj_arg))=(pointer)(*b); |
BDY(NEXT(generic_comp_obj_arg))=(pointer)(*b); |
r = (Q)bevalf(generic_comp_obj_func,generic_comp_obj_arg); |
r = (Q)bevalf_with_opts(generic_comp_obj_func,generic_comp_obj_arg,generic_comp_obj_option); |
if ( !r ) |
if ( !r ) |
return 0; |
return 0; |
else |
else |
Line 202 void Pqsort(NODE arg,LIST *rp) |
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Line 407 void Pqsort(NODE arg,LIST *rp) |
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func = (FUNC)v->priv; |
func = (FUNC)v->priv; |
} |
} |
generic_comp_obj_func = func; |
generic_comp_obj_func = func; |
MKNODE(n,0,0); MKNODE(generic_comp_obj_arg,0,n); |
MKNODE(n,0,0); MKNODE(generic_comp_obj_arg,0,n); |
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generic_comp_obj_option = current_option; |
qsort(BDY(vect),vect->len,sizeof(Obj),(int (*)(const void *,const void *))generic_comp_obj); |
qsort(BDY(vect),vect->len,sizeof(Obj),(int (*)(const void *,const void *))generic_comp_obj); |
} |
} |
if (OID(t) == O_LIST) { |
if (OID(t) == O_LIST) { |
Line 336 void Psepmat_destructive(NODE arg,LIST *rp) |
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Line 542 void Psepmat_destructive(NODE arg,LIST *rp) |
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sgn = SGN(ent); |
sgn = SGN(ent); |
divn(nm,mod,&quo,&rem); |
divn(nm,mod,&quo,&rem); |
/* if ( quo != nm && rem != nm ) */ |
/* if ( quo != nm && rem != nm ) */ |
/* GC_free(nm); */ |
/* GCFREE(nm); */ |
/* GC_free(ent); */ |
/* GCFREE(ent); */ |
NTOQ(rem,sgn,a[i][j]); NTOQ(quo,sgn,a1[i][j]); |
NTOQ(rem,sgn,a[i][j]); NTOQ(quo,sgn,a1[i][j]); |
} |
} |
MKNODE(n1,mat1,0); MKNODE(n0,mat,n1); |
MKNODE(n1,mat1,0); MKNODE(n0,mat,n1); |
Line 389 void Pnewvect(NODE arg,VECT *rp) |
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Line 595 void Pnewvect(NODE arg,VECT *rp) |
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if ( argc(arg) == 2 ) { |
if ( argc(arg) == 2 ) { |
list = (LIST)ARG1(arg); |
list = (LIST)ARG1(arg); |
asir_assert(list,O_LIST,"newvect"); |
asir_assert(list,O_LIST,"newvect"); |
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#if 0 |
for ( r = 0, tn = BDY(list); tn; r++, tn = NEXT(tn) ); |
for ( r = 0, tn = BDY(list); tn; r++, tn = NEXT(tn) ); |
if ( r > len ) { |
if ( r > len ) { |
*rp = vect; |
*rp = vect; |
return; |
return; |
} |
} |
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#endif |
for ( i = 0, tn = BDY(list), vb = BDY(vect); tn; i++, tn = NEXT(tn) ) |
for ( i = 0, tn = BDY(list), vb = BDY(vect); tn; i++, tn = NEXT(tn) ) |
vb[i] = (pointer)BDY(tn); |
vb[i] = (pointer)BDY(tn); |
} |
} |
Line 401 void Pnewvect(NODE arg,VECT *rp) |
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Line 609 void Pnewvect(NODE arg,VECT *rp) |
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} |
} |
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void Pvect(NODE arg,VECT *rp) { |
void Pvect(NODE arg,VECT *rp) { |
int len,i,r; |
int len,i; |
VECT vect; |
VECT vect; |
pointer *vb; |
pointer *vb; |
NODE tn; |
NODE tn; |
Line 455 void Pnewbytearray(NODE arg,BYTEARRAY *rp) |
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Line 663 void Pnewbytearray(NODE arg,BYTEARRAY *rp) |
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ac = argc(arg); |
ac = argc(arg); |
if ( ac == 1 ) { |
if ( ac == 1 ) { |
/* ARG0(arg) must be a filename */ |
if ( !OID((Obj)ARG0(arg)) ) error("newbytearray : invalid argument"); |
asir_assert(ARG0(arg),O_STR,"newbytearray"); |
switch ( OID((Obj)ARG0(arg)) ) { |
fname = BDY((STRING)ARG0(arg)); |
case O_STR: |
fp = fopen(fname,"rb"); |
fname = BDY((STRING)ARG0(arg)); |
if ( !fp ) error("newbytearray : fopen failed"); |
fp = fopen(fname,"rb"); |
if ( stat(fname,&sbuf) < 0 ) error("newbytearray : stat failed"); |
if ( !fp ) error("newbytearray : fopen failed"); |
len = sbuf.st_size; |
if ( stat(fname,&sbuf) < 0 ) |
MKBYTEARRAY(array,len); |
error("newbytearray : stat failed"); |
fread(BDY(array),len,sizeof(char),fp); |
len = sbuf.st_size; |
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MKBYTEARRAY(array,len); |
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fread(BDY(array),len,sizeof(char),fp); |
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break; |
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case O_N: |
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if ( !RATN(ARG0(arg)) ) |
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error("newbytearray : invalid argument"); |
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len = QTOS((Q)ARG0(arg)); |
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if ( len < 0 ) |
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error("newbytearray : invalid size"); |
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MKBYTEARRAY(array,len); |
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break; |
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default: |
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error("newbytearray : invalid argument"); |
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} |
} else if ( ac == 2 ) { |
} else if ( ac == 2 ) { |
asir_assert(ARG0(arg),O_N,"newbytearray"); |
asir_assert(ARG0(arg),O_N,"newbytearray"); |
len = QTOS((Q)ARG0(arg)); |
len = QTOS((Q)ARG0(arg)); |
Line 673 void Pvtol(NODE arg,LIST *rp) |
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Line 895 void Pvtol(NODE arg,LIST *rp) |
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pointer *a; |
pointer *a; |
int len,i; |
int len,i; |
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if ( OID(ARG0(arg)) == O_LIST ) { |
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*rp = ARG0(arg); |
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return; |
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} |
asir_assert(ARG0(arg),O_VECT,"vtol"); |
asir_assert(ARG0(arg),O_VECT,"vtol"); |
v = (VECT)ARG0(arg); len = v->len; a = BDY(v); |
v = (VECT)ARG0(arg); len = v->len; a = BDY(v); |
for ( i = len - 1, n = 0; i >= 0; i-- ) { |
for ( i = len - 1, n = 0; i >= 0; i-- ) { |
Line 684 void Pvtol(NODE arg,LIST *rp) |
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Line 910 void Pvtol(NODE arg,LIST *rp) |
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void Pltov(NODE arg,VECT *rp) |
void Pltov(NODE arg,VECT *rp) |
{ |
{ |
NODE n; |
NODE n; |
VECT v; |
VECT v,v0; |
int len,i; |
int len,i; |
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if ( OID(ARG0(arg)) == O_VECT ) { |
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v0 = (VECT)ARG0(arg); len = v0->len; |
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MKVECT(v,len); |
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for ( i = 0; i < len; i++ ) { |
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BDY(v)[i] = BDY(v0)[i]; |
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} |
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*rp = v; |
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return; |
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} |
asir_assert(ARG0(arg),O_LIST,"ltov"); |
asir_assert(ARG0(arg),O_LIST,"ltov"); |
n = (NODE)BDY((LIST)ARG0(arg)); |
n = (NODE)BDY((LIST)ARG0(arg)); |
len = length(n); |
len = length(n); |
Line 899 void Pgeneric_gauss_elim(NODE arg,LIST *rp) |
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Line 1134 void Pgeneric_gauss_elim(NODE arg,LIST *rp) |
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int *ri,*ci; |
int *ri,*ci; |
VECT rind,cind; |
VECT rind,cind; |
Q dn,q; |
Q dn,q; |
int i,j,k,l,row,col,t,rank; |
int i,row,col,t,rank; |
int is_hensel = 0; |
int is_hensel = 0; |
char *key; |
char *key; |
Obj value; |
Obj value; |
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} |
} |
} |
} |
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void lu_dec_cr(MAT mat,MAT lu,Q *dn,int **perm); |
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/* XXX broken */ |
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void lu_dec_cr(MAT mat,MAT lu,Q *dn,int **perm) |
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{ |
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Q **a0,**b; |
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Q *aiq; |
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N **a; |
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N *ai; |
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Q q,q1,dn2,a1,q0,bik; |
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MAT m; |
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unsigned int md; |
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int n,ind,i,j,rank,t,inv,t1,ret,min,k; |
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int **w; |
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int *wi,*rinfo0,*rinfo; |
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N m1,m2,m3,u,s; |
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a0 = (Q **)mat->body; |
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n = mat->row; |
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if ( n != mat->col ) |
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error("lu_dec_cr : non-square matrix"); |
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w = (int **)almat(n,n); |
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MKMAT(m,n,n); |
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a = (N **)m->body; |
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UTON(1,m1); |
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rinfo0 = 0; |
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ind = 0; |
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while ( 1 ) { |
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md = get_lprime(ind); |
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/* mat mod md */ |
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for ( i = 0; i < n; i++ ) |
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for ( j = 0, aiq = a0[i], wi = w[i]; j < n; j++ ) |
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if ( q = aiq[j] ) { |
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t = rem(NM(q),md); |
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if ( t && SGN(q) < 0 ) |
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t = (md - t) % md; |
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wi[j] = t; |
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} else |
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wi[j] = 0; |
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if ( !lu_mod((unsigned int **)w,n,md,&rinfo) ) continue; |
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printf("."); fflush(stdout); |
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if ( !rinfo0 ) |
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*perm = rinfo0 = rinfo; |
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else { |
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for ( i = 0; i < n; i++ ) |
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if ( rinfo[i] != rinfo0[i] ) break; |
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if ( i < n ) continue; |
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} |
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if ( UNIN(m1) ) { |
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for ( i = 0; i < n; i++ ) |
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for ( j = 0, ai = a[i], wi = w[i]; j < n; j++ ) { |
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UTON(wi[j],u); ai[j] = u; |
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} |
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UTON(md,m1); |
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} else { |
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inv = invm(rem(m1,md),md); |
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UTON(md,m2); muln(m1,m2,&m3); |
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for ( i = 0; i < n; i++ ) |
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for ( j = 0, ai = a[i], wi = w[i]; j < n; j++ ) |
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if ( ai[i] ) { |
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/* f3 = f1+m1*(m1 mod m2)^(-1)*(f2 - f1 mod m2) */ |
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t = rem(ai[j],md); |
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if ( wi[j] >= t ) |
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t = wi[j]-t; |
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else |
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t = md-(t-wi[j]); |
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DMAR(t,inv,0,md,t1) |
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UTON(t1,u); |
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muln(m1,u,&s); |
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addn(ai[j],s,&u); ai[j] = u; |
|
} else if ( wi[j] ) { |
|
/* f3 = m1*(m1 mod m2)^(-1)*f2 */ |
|
DMAR(wi[j],inv,0,md,t) |
|
UTON(t,u); |
|
muln(m1,u,&s); ai[j] = s; |
|
} |
|
m1 = m3; |
|
} |
|
if ( (++ind%8) == 0 ) { |
|
ret = intmtoratm(m,m1,lu,dn); |
|
if ( ret ) { |
|
b = (Q **)lu->body; |
|
mulq(*dn,*dn,&dn2); |
|
for ( i = 0; i < n; i++ ) { |
|
for ( j = 0; j < n; j++ ) { |
|
q = 0; |
|
min = MIN(i,j); |
|
for ( k = 0; k <= min; k++ ) { |
|
bik = k==i ? *dn : b[i][k]; |
|
mulq(bik,b[k][j],&q0); |
|
addq(q,q0,&q1); q = q1; |
|
} |
|
mulq(a0[rinfo0[i]][j],dn2,&q1); |
|
if ( cmpq(q,q1) ) break; |
|
} |
|
if ( j < n ) break; |
|
} |
|
if ( i == n ) |
|
return; |
|
} |
|
} |
|
} |
|
} |
|
|
|
void nmat(N **m,int n) |
|
{ |
|
int i,j; |
|
|
|
for ( i = 0; i < n; i++ ) { |
|
for ( j = 0; j < n; j++ ) { |
|
printn(m[i][j]); printf(" "); |
|
} |
|
printf("\n"); |
|
} |
|
} |
|
|
int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn,int **rindp,int **cindp) |
int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn,int **rindp,int **cindp) |
{ |
{ |
MAT bmat,xmat; |
MAT bmat,xmat; |
Line 1282 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
|
Line 1634 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
|
} else |
} else |
wi[j] = 0; |
wi[j] = 0; |
|
|
if ( DP_Print ) { |
if ( DP_Print > 3 ) { |
fprintf(asir_out,"LU decomposition.."); fflush(asir_out); |
fprintf(asir_out,"LU decomposition.."); fflush(asir_out); |
} |
} |
rank = find_lhs_and_lu_mod((unsigned int **)w,row,col,md,&rinfo,&cinfo); |
rank = find_lhs_and_lu_mod((unsigned int **)w,row,col,md,&rinfo,&cinfo); |
if ( DP_Print ) { |
if ( DP_Print > 3 ) { |
fprintf(asir_out,"done.\n"); fflush(asir_out); |
fprintf(asir_out,"done.\n"); fflush(asir_out); |
} |
} |
a = (Q **)almat_pointer(rank,rank); /* lhs mat */ |
a = (Q **)almat_pointer(rank,rank); /* lhs mat */ |
Line 1325 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
|
Line 1677 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
|
wx = (int *)MALLOC_ATOMIC(wxsize*sizeof(int)); |
wx = (int *)MALLOC_ATOMIC(wxsize*sizeof(int)); |
for ( i = 0; i < wxsize; i++ ) wx[i] = 0; |
for ( i = 0; i < wxsize; i++ ) wx[i] = 0; |
for ( q = ONE, count = 0; ; ) { |
for ( q = ONE, count = 0; ; ) { |
if ( DP_Print ) |
if ( DP_Print > 3 ) |
fprintf(stderr,"o"); |
fprintf(stderr,"o"); |
/* wc = -b mod md */ |
/* wc = -b mod md */ |
get_eg(&tmp0); |
get_eg(&tmp0); |
Line 1425 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
|
Line 1777 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
|
} |
} |
} |
} |
|
|
int generic_gauss_elim_hensel_dalg(MAT mat,MAT *nmmat,Q *dn,int **rindp,int **cindp) |
int generic_gauss_elim_hensel_dalg(MAT mat,DP *mb,MAT *nmmat,Q *dn,int **rindp,int **cindp) |
{ |
{ |
MAT bmat,xmat; |
MAT bmat,xmat; |
Q **a0,**a,**b,**x,**nm; |
Q **a0,**a,**b,**x,**nm; |
Line 1449 int generic_gauss_elim_hensel_dalg(MAT mat,MAT *nmmat, |
|
Line 1801 int generic_gauss_elim_hensel_dalg(MAT mat,MAT *nmmat, |
|
N wn; |
N wn; |
Q wq; |
Q wq; |
NumberField nf; |
NumberField nf; |
DP *mb; |
|
DP m; |
DP m; |
int col1; |
int col1; |
|
|
nf = get_numberfield(); |
|
mb = nf->mb; |
|
a0 = (Q **)mat->body; |
a0 = (Q **)mat->body; |
row = mat->row; col = mat->col; |
row = mat->row; col = mat->col; |
w = (int **)almat(row,col); |
w = (int **)almat(row,col); |
Line 1946 void red_by_compress(int m,unsigned int *p,unsigned in |
|
Line 2295 void red_by_compress(int m,unsigned int *p,unsigned in |
|
|
|
void red_by_vect(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len) |
void red_by_vect(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len) |
{ |
{ |
register unsigned int up,lo; |
unsigned int up,lo,dmy; |
unsigned int dmy; |
|
|
|
*p++ = 0; r++; len--; |
*p++ = 0; r++; len--; |
for ( ; len; len--, r++, p++ ) |
for ( ; len; len--, r++, p++ ) |
Line 2056 int generic_gauss_elim_mod(int **mat0,int row,int col, |
|
Line 2404 int generic_gauss_elim_mod(int **mat0,int row,int col, |
|
return rank; |
return rank; |
} |
} |
|
|
|
int generic_gauss_elim_mod2(int **mat0,int row,int col,int md,int *colstat,int *rowstat) |
|
{ |
|
int i,j,k,l,inv,a,rank; |
|
unsigned int *t,*pivot,*pk; |
|
unsigned int **mat; |
|
|
|
for ( i = 0; i < row; i++ ) rowstat[i] = i; |
|
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; |
|
} else |
|
colstat[j] = 1; |
|
if ( i != rank ) { |
|
t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; |
|
k = rowstat[i]; rowstat[i] = rowstat[rank]; rowstat[rank] = k; |
|
} |
|
pivot = mat[rank]; |
|
inv = invm(pivot[j],md); |
|
for ( k = j, pk = pivot+k; k < col; k++, pk++ ) |
|
if ( *pk ) { |
|
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] ) |
|
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]; |
|
for ( i = 0; i < l; i++ ) { |
|
t = mat[i]; |
|
t[j] %= md; |
|
if ( a = t[j] ) |
|
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 generic_gauss_elim_sf(int **mat0,int row,int col,int md,int *colstat) |
int generic_gauss_elim_sf(int **mat0,int row,int col,int md,int *colstat) |
{ |
{ |
int i,j,k,l,inv,a,rank; |
int i,j,k,l,inv,a,rank; |
Line 2199 int find_lhs_and_lu_mod(unsigned int **a,int row,int c |
|
Line 2607 int find_lhs_and_lu_mod(unsigned int **a,int row,int c |
|
return d; |
return d; |
} |
} |
|
|
|
int lu_mod(unsigned int **a,int n,unsigned int md,int **rinfo) |
|
{ |
|
int i,j,k; |
|
int *rp; |
|
unsigned int *t,*pivot; |
|
unsigned int inv,m; |
|
|
|
*rinfo = rp = (int *)MALLOC_ATOMIC(n*sizeof(int)); |
|
for ( i = 0; i < n; i++ ) rp[i] = i; |
|
for ( k = 0; k < n; k++ ) { |
|
for ( i = k; i < n && !a[i][k]; i++ ); |
|
if ( i == n ) return 0; |
|
if ( i != k ) { |
|
j = rp[i]; rp[i] = rp[k]; rp[k] = j; |
|
t = a[i]; a[i] = a[k]; a[k] = t; |
|
} |
|
pivot = a[k]; |
|
inv = invm(pivot[k],md); |
|
for ( i = k+1; i < n; i++ ) { |
|
t = a[i]; |
|
if ( m = t[k] ) { |
|
DMAR(inv,m,0,md,t[k]) |
|
for ( j = k+1, m = md - t[k]; j < n; j++ ) |
|
if ( pivot[j] ) { |
|
unsigned int tj; |
|
DMAR(m,pivot[j],t[j],md,tj) |
|
t[j] = tj; |
|
} |
|
} |
|
} |
|
} |
|
return 1; |
|
} |
|
|
/* |
/* |
Input |
Input |
a : n x n matrix; a result of LU-decomposition |
a : n x n matrix; a result of LU-decomposition |
Line 2462 void solve_by_lu_gfmmat(GFMMAT lu,unsigned int md, |
|
Line 2904 void solve_by_lu_gfmmat(GFMMAT lu,unsigned int md, |
|
} |
} |
} |
} |
|
|
|
void Plu_mat(NODE arg,LIST *rp) |
|
{ |
|
MAT m,lu; |
|
Q dn; |
|
Q *v; |
|
int n,i; |
|
int *iperm; |
|
VECT perm; |
|
NODE n0; |
|
|
|
asir_assert(ARG0(arg),O_MAT,"lu_mat"); |
|
m = (MAT)ARG0(arg); |
|
n = m->row; |
|
MKMAT(lu,n,n); |
|
lu_dec_cr(m,lu,&dn,&iperm); |
|
MKVECT(perm,n); |
|
for ( i = 0, v = (Q *)perm->body; i < n; i++ ) |
|
STOQ(iperm[i],v[i]); |
|
n0 = mknode(3,lu,dn,perm); |
|
MKLIST(*rp,n0); |
|
} |
|
|
void Plu_gfmmat(NODE arg,LIST *rp) |
void Plu_gfmmat(NODE arg,LIST *rp) |
{ |
{ |
MAT m; |
MAT m; |
Line 2473 void Plu_gfmmat(NODE arg,LIST *rp) |
|
Line 2937 void Plu_gfmmat(NODE arg,LIST *rp) |
|
VECT perm; |
VECT perm; |
NODE n0; |
NODE n0; |
|
|
asir_assert(ARG0(arg),O_MAT,"mat_to_gfmmat"); |
asir_assert(ARG0(arg),O_MAT,"lu_gfmmat"); |
asir_assert(ARG1(arg),O_N,"mat_to_gfmmat"); |
asir_assert(ARG1(arg),O_N,"lu_gfmmat"); |
m = (MAT)ARG0(arg); md = (unsigned int)QTOS((Q)ARG1(arg)); |
m = (MAT)ARG0(arg); md = (unsigned int)QTOS((Q)ARG1(arg)); |
mat_to_gfmmat(m,md,&mm); |
mat_to_gfmmat(m,md,&mm); |
row = m->row; |
row = m->row; |
Line 2772 void inner_product_int(Q *a,Q *b,int n,Q *r) |
|
Line 3236 void inner_product_int(Q *a,Q *b,int n,Q *r) |
|
t = wma; wma = sum; sum = t; |
t = wma; wma = sum; sum = t; |
} |
} |
} |
} |
GC_free(wm); |
GCFREE(wm); |
GC_free(wma); |
GCFREE(wma); |
if ( !sgn ) { |
if ( !sgn ) { |
GC_free(sum); |
GCFREE(sum); |
*r = 0; |
*r = 0; |
} else |
} else |
NTOQ(sum,sgn,*r); |
NTOQ(sum,sgn,*r); |
Line 2830 void inner_product_mat_int_mod(Q **a,int **b,int n,int |
|
Line 3294 void inner_product_mat_int_mod(Q **a,int **b,int n,int |
|
t = wma; wma = sum; sum = t; |
t = wma; wma = sum; sum = t; |
} |
} |
} |
} |
GC_free(wm); |
GCFREE(wm); |
GC_free(wma); |
GCFREE(wma); |
if ( !sgn ) { |
if ( !sgn ) { |
GC_free(sum); |
GCFREE(sum); |
*r = 0; |
*r = 0; |
} else |
} else |
NTOQ(sum,sgn,*r); |
NTOQ(sum,sgn,*r); |
Line 3265 void Pnd_det(NODE arg,P *rp) |
|
Line 3729 void Pnd_det(NODE arg,P *rp) |
|
nd_det(0,ARG0(arg),rp); |
nd_det(0,ARG0(arg),rp); |
else |
else |
nd_det(QTOS((Q)ARG1(arg)),ARG0(arg),rp); |
nd_det(QTOS((Q)ARG1(arg)),ARG0(arg),rp); |
|
} |
|
|
|
void Pmat_col(NODE arg,VECT *rp) |
|
{ |
|
int i,j,n; |
|
MAT mat; |
|
VECT vect; |
|
|
|
asir_assert(ARG0(arg),O_MAT,"mat_col"); |
|
asir_assert(ARG1(arg),O_N,"mat_col"); |
|
mat = (MAT)ARG0(arg); |
|
j = QTOS((Q)ARG1(arg)); |
|
if ( j < 0 || j >= mat->col) { |
|
error("mat_col : Out of range"); |
|
} |
|
n = mat->row; |
|
MKVECT(vect,n); |
|
for(i=0; i<n; i++) { |
|
BDY(vect)[i] = BDY(mat)[i][j]; |
|
} |
|
*rp = vect; |
} |
} |