version 1.49, 2005/12/21 23:18:15 |
version 1.62, 2013/06/14 05:55:24 |
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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 1.48 2005/11/27 05:37:53 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/array.c,v 1.61 2012/12/17 07:20:44 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
#include "parse.h" |
#include "parse.h" |
#include "inline.h" |
#include "inline.h" |
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#include <sys/types.h> |
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#include <sys/stat.h> |
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#if !defined(_MSC_VER) |
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#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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#if 0 |
#if 0 |
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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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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 134 struct ftab array_tab[] = { |
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Line 143 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}, |
{0,0,0}, |
{0,0,0}, |
}; |
}; |
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Line 144 int comp_obj(Obj *a,Obj *b) |
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Line 154 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 151 int generic_comp_obj(Obj *a,Obj *b) |
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Line 162 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 198 void Pqsort(NODE arg,LIST *rp) |
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Line 209 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 332 void Psepmat_destructive(NODE arg,LIST *rp) |
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Line 344 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 385 void Pnewvect(NODE arg,VECT *rp) |
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Line 397 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 397 void Pnewvect(NODE arg,VECT *rp) |
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Line 411 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 444 void Pnewbytearray(NODE arg,BYTEARRAY *rp) |
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Line 458 void Pnewbytearray(NODE arg,BYTEARRAY *rp) |
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char *str; |
char *str; |
LIST list; |
LIST list; |
NODE tn; |
NODE tn; |
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int ac; |
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struct stat sbuf; |
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char *fname; |
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FILE *fp; |
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asir_assert(ARG0(arg),O_N,"newbytearray"); |
ac = argc(arg); |
len = QTOS((Q)ARG0(arg)); |
if ( ac == 1 ) { |
if ( len < 0 ) |
if ( !OID((Obj)ARG0(arg)) ) error("newbytearray : invalid argument"); |
error("newbytearray : invalid size"); |
switch ( OID((Obj)ARG0(arg)) ) { |
MKBYTEARRAY(array,len); |
case O_STR: |
if ( argc(arg) == 2 ) { |
fname = BDY((STRING)ARG0(arg)); |
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fp = fopen(fname,"rb"); |
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if ( !fp ) error("newbytearray : fopen failed"); |
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if ( stat(fname,&sbuf) < 0 ) |
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error("newbytearray : stat failed"); |
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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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} |
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} else if ( ac == 2 ) { |
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asir_assert(ARG0(arg),O_N,"newbytearray"); |
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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); |
if ( !ARG1(arg) ) |
if ( !ARG1(arg) ) |
error("newbytearray : invalid initialization"); |
error("newbytearray : invalid initialization"); |
switch ( OID((Obj)ARG1(arg)) ) { |
switch ( OID((Obj)ARG1(arg)) ) { |
Line 474 void Pnewbytearray(NODE arg,BYTEARRAY *rp) |
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Line 517 void Pnewbytearray(NODE arg,BYTEARRAY *rp) |
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if ( !ARG1(arg) ) |
if ( !ARG1(arg) ) |
error("newbytearray : invalid initialization"); |
error("newbytearray : invalid initialization"); |
} |
} |
} |
} else |
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error("newbytearray : invalid argument"); |
*rp = array; |
*rp = array; |
} |
} |
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Line 483 void Pnewbytearray(NODE arg,BYTEARRAY *rp) |
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Line 527 void Pnewbytearray(NODE arg,BYTEARRAY *rp) |
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void Pmemoryplot_to_coord(NODE arg,LIST *rp) |
void Pmemoryplot_to_coord(NODE arg,LIST *rp) |
{ |
{ |
int len,blen,y,i,j; |
int len,blen,y,i,j; |
char *a; |
unsigned char *a; |
NODE r0,r,n; |
NODE r0,r,n; |
LIST l; |
LIST l; |
BYTEARRAY ba; |
BYTEARRAY ba; |
Line 879 void Pgeneric_gauss_elim(NODE arg,LIST *rp) |
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Line 923 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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/* XXX broken */ |
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int 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; |
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} else if ( wi[j] ) { |
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/* f3 = m1*(m1 mod m2)^(-1)*f2 */ |
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DMAR(wi[j],inv,0,md,t) |
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UTON(t,u); |
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muln(m1,u,&s); ai[j] = s; |
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} |
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m1 = m3; |
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} |
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if ( (++ind%8) == 0 ) { |
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ret = intmtoratm(m,m1,lu,dn); |
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if ( ret ) { |
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b = (Q **)lu->body; |
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mulq(*dn,*dn,&dn2); |
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for ( i = 0; i < n; i++ ) { |
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for ( j = 0; j < n; j++ ) { |
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q = 0; |
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min = MIN(i,j); |
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for ( k = 0; k <= min; k++ ) { |
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bik = k==i ? *dn : b[i][k]; |
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mulq(bik,b[k][j],&q0); |
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addq(q,q0,&q1); q = q1; |
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} |
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mulq(a0[rinfo0[i]][j],dn2,&q1); |
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if ( cmpq(q,q1) ) break; |
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} |
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if ( j < n ) break; |
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} |
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if ( i == n ) |
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return; |
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} |
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} |
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} |
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} |
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int nmat(N **m,int n) |
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{ |
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int i,j; |
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for ( i = 0; i < n; i++ ) { |
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for ( j = 0; j < n; j++ ) { |
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printn(m[i][j]); printf(" "); |
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} |
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printf("\n"); |
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} |
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} |
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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 1262 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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Line 1421 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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} else |
} else |
wi[j] = 0; |
wi[j] = 0; |
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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 1305 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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Line 1464 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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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 1366 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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Line 1525 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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ret = intmtoratm_q(xmat,NM(q),*nmmat,dn); |
ret = intmtoratm_q(xmat,NM(q),*nmmat,dn); |
get_eg(&tmp1); add_eg(&eg_intrat,&tmp0,&tmp1); |
get_eg(&tmp1); add_eg(&eg_intrat,&tmp0,&tmp1); |
if ( ret ) { |
if ( ret ) { |
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rind = (int *)MALLOC_ATOMIC(rank*sizeof(int)); |
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cind = (int *)MALLOC_ATOMIC((col-rank)*sizeof(int)); |
for ( j = k = l = 0; j < col; j++ ) |
for ( j = k = l = 0; j < col; j++ ) |
if ( cinfo[j] ) |
if ( cinfo[j] ) |
rind[k++] = j; |
rind[k++] = j; |
Line 1383 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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Line 1544 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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print_eg("CHECK",&eg_check); |
print_eg("CHECK",&eg_check); |
fflush(asir_out); |
fflush(asir_out); |
} |
} |
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*rindp = rind; |
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*cindp = cind; |
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for ( j = k = 0; j < col; j++ ) |
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if ( !cinfo[j] ) |
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cind[k++] = j; |
return rank; |
return rank; |
} |
} |
} else { |
} else { |
Line 1398 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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Line 1564 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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} |
} |
} |
} |
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int generic_gauss_elim_hensel_dalg(MAT mat,DP *mb,MAT *nmmat,Q *dn,int **rindp,int **cindp) |
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{ |
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MAT bmat,xmat; |
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Q **a0,**a,**b,**x,**nm; |
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Q *ai,*bi,*xi; |
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int row,col; |
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int **w; |
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int *wi; |
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int **wc; |
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Q mdq,q,s,u; |
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N tn; |
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int ind,md,i,j,k,l,li,ri,rank; |
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unsigned int t; |
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int *cinfo,*rinfo; |
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int *rind,*cind; |
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int count; |
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int ret; |
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struct oEGT eg_mul,eg_inv,eg_intrat,eg_check,tmp0,tmp1; |
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int period; |
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int *wx,*ptr; |
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int wxsize,nsize; |
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N wn; |
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Q wq; |
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NumberField nf; |
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DP m; |
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int col1; |
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a0 = (Q **)mat->body; |
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row = mat->row; col = mat->col; |
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w = (int **)almat(row,col); |
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for ( ind = 0; ; ind++ ) { |
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md = get_lprime(ind); |
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STOQ(md,mdq); |
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for ( i = 0; i < row; i++ ) |
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for ( j = 0, ai = a0[i], wi = w[i]; j < col; j++ ) |
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if ( q = (Q)ai[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 ( DP_Print ) { |
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fprintf(asir_out,"LU decomposition.."); fflush(asir_out); |
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} |
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rank = find_lhs_and_lu_mod((unsigned int **)w,row,col,md,&rinfo,&cinfo); |
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if ( DP_Print ) { |
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fprintf(asir_out,"done.\n"); fflush(asir_out); |
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} |
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for ( i = 0; i < col-1; i++ ) { |
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if ( !cinfo[i] ) { |
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m = mb[i]; |
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for ( j = i+1; j < col-1; j++ ) |
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if ( dp_redble(mb[j],m) ) |
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cinfo[j] = -1; |
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} |
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} |
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a = (Q **)almat_pointer(rank,rank); /* lhs mat */ |
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MKMAT(bmat,rank,col-rank); b = (Q **)bmat->body; /* lhs mat */ |
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for ( j = li = ri = 0; j < col; j++ ) |
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if ( cinfo[j] > 0 ) { |
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/* the column is in lhs */ |
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for ( i = 0; i < rank; i++ ) { |
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w[i][li] = w[i][j]; |
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a[i][li] = a0[rinfo[i]][j]; |
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} |
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li++; |
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} else if ( !cinfo[j] ) { |
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/* the column is in rhs */ |
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for ( i = 0; i < rank; i++ ) |
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b[i][ri] = a0[rinfo[i]][j]; |
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ri++; |
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} |
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/* solve Ax+B=0; A: rank x rank, B: rank x ri */ |
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MKMAT(xmat,rank,ri); x = (Q **)(xmat)->body; |
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MKMAT(*nmmat,rank,ri); nm = (Q **)(*nmmat)->body; |
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/* use the right part of w as work area */ |
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wc = (int **)almat(rank,ri); |
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for ( i = 0; i < rank; i++ ) |
|
wc[i] = w[i]+rank; |
|
*rindp = rind = (int *)MALLOC_ATOMIC(rank*sizeof(int)); |
|
*cindp = cind = (int *)MALLOC_ATOMIC((col-rank)*sizeof(int)); |
|
init_eg(&eg_mul); init_eg(&eg_inv); |
|
init_eg(&eg_check); init_eg(&eg_intrat); |
|
period = F4_INTRAT_PERIOD; |
|
nsize = period; |
|
wxsize = rank*ri*nsize; |
|
wx = (int *)MALLOC_ATOMIC(wxsize*sizeof(int)); |
|
for ( i = 0; i < wxsize; i++ ) wx[i] = 0; |
|
for ( q = ONE, count = 0; ; ) { |
|
if ( DP_Print ) |
|
fprintf(stderr,"o"); |
|
/* wc = -b mod md */ |
|
get_eg(&tmp0); |
|
for ( i = 0; i < rank; i++ ) |
|
for ( j = 0, bi = b[i], wi = wc[i]; j < ri; j++ ) |
|
if ( u = (Q)bi[j] ) { |
|
t = rem(NM(u),md); |
|
if ( t && SGN(u) > 0 ) |
|
t = (md - t) % md; |
|
wi[j] = t; |
|
} else |
|
wi[j] = 0; |
|
/* wc = A^(-1)wc; wc is not normalized */ |
|
solve_by_lu_mod(w,rank,md,wc,ri,0); |
|
/* wx += q*wc */ |
|
ptr = wx; |
|
for ( i = 0; i < rank; i++ ) |
|
for ( j = 0, wi = wc[i]; j < ri; j++ ) { |
|
if ( wi[j] ) |
|
muln_1(BD(NM(q)),PL(NM(q)),wi[j],ptr); |
|
ptr += nsize; |
|
} |
|
count++; |
|
get_eg(&tmp1); |
|
add_eg(&eg_inv,&tmp0,&tmp1); |
|
get_eg(&tmp0); |
|
for ( i = 0; i < rank; i++ ) |
|
for ( j = 0; j < ri; j++ ) { |
|
inner_product_mat_int_mod(a,wc,rank,i,j,&u); |
|
addq(b[i][j],u,&s); |
|
if ( s ) { |
|
t = divin(NM(s),md,&tn); |
|
if ( t ) |
|
error("generic_gauss_elim_hensel:incosistent"); |
|
NTOQ(tn,SGN(s),b[i][j]); |
|
} else |
|
b[i][j] = 0; |
|
} |
|
get_eg(&tmp1); |
|
add_eg(&eg_mul,&tmp0,&tmp1); |
|
/* q = q*md */ |
|
mulq(q,mdq,&u); q = u; |
|
if ( count == period ) { |
|
get_eg(&tmp0); |
|
ptr = wx; |
|
for ( i = 0; i < rank; i++ ) |
|
for ( j = 0, xi = x[i]; j < ri; |
|
j++, ptr += nsize ) { |
|
for ( k = nsize-1; k >= 0 && !ptr[k]; k-- ); |
|
if ( k >= 0 ) { |
|
wn = NALLOC(k+1); |
|
PL(wn) = k+1; |
|
for ( l = 0; l <= k; l++ ) BD(wn)[l] = (unsigned int)ptr[l]; |
|
NTOQ(wn,1,wq); |
|
subq(xi[j],wq,&u); xi[j] = u; |
|
} |
|
} |
|
ret = intmtoratm_q(xmat,NM(q),*nmmat,dn); |
|
get_eg(&tmp1); add_eg(&eg_intrat,&tmp0,&tmp1); |
|
if ( ret ) { |
|
for ( j = k = l = 0; j < col; j++ ) |
|
if ( cinfo[j] > 0 ) |
|
rind[k++] = j; |
|
else if ( !cinfo[j] ) |
|
cind[l++] = j; |
|
get_eg(&tmp0); |
|
ret = gensolve_check(mat,*nmmat,*dn,rind,cind); |
|
get_eg(&tmp1); add_eg(&eg_check,&tmp0,&tmp1); |
|
if ( ret ) { |
|
if ( DP_Print > 3 ) { |
|
fprintf(stderr,"\n"); |
|
print_eg("INV",&eg_inv); |
|
print_eg("MUL",&eg_mul); |
|
print_eg("INTRAT",&eg_intrat); |
|
print_eg("CHECK",&eg_check); |
|
fflush(asir_out); |
|
} |
|
return rank; |
|
} |
|
} else { |
|
period = period*3/2; |
|
count = 0; |
|
nsize += period; |
|
wxsize += rank*ri*nsize; |
|
wx = (int *)REALLOC(wx,wxsize*sizeof(int)); |
|
for ( i = 0; i < wxsize; i++ ) wx[i] = 0; |
|
} |
|
} |
|
} |
|
} |
|
} |
|
|
int f4_nocheck; |
int f4_nocheck; |
|
|
int gensolve_check(MAT mat,MAT nm,Q dn,int *rind,int *cind) |
int gensolve_check(MAT mat,MAT nm,Q dn,int *rind,int *cind) |
Line 1731 void red_by_compress(int m,unsigned int *p,unsigned in |
|
Line 2082 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 1984 int find_lhs_and_lu_mod(unsigned int **a,int row,int c |
|
Line 2334 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 2247 void solve_by_lu_gfmmat(GFMMAT lu,unsigned int md, |
|
Line 2631 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 2258 void Plu_gfmmat(NODE arg,LIST *rp) |
|
Line 2664 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 2557 void inner_product_int(Q *a,Q *b,int n,Q *r) |
|
Line 2963 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 2615 void inner_product_mat_int_mod(Q **a,int **b,int n,int |
|
Line 3021 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 3050 void Pnd_det(NODE arg,P *rp) |
|
Line 3456 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; |
} |
} |