=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/array.c,v retrieving revision 1.18 retrieving revision 1.40 diff -u -p -r1.18 -r1.40 --- OpenXM_contrib2/asir2000/builtin/array.c 2001/09/17 01:18:34 1.18 +++ OpenXM_contrib2/asir2000/builtin/array.c 2004/12/02 13:53:31 1.40 @@ -45,13 +45,15 @@ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. * - * $OpenXM: OpenXM_contrib2/asir2000/builtin/array.c,v 1.17 2001/09/10 05:55:13 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/builtin/array.c,v 1.39 2004/12/01 12:55:19 noro Exp $ */ #include "ca.h" #include "base.h" #include "parse.h" #include "inline.h" +#define F4_INTRAT_PERIOD 8 + #if 0 #undef DMAR #define DMAR(a1,a2,a3,d,r) (r)=dmar(a1,a2,a3,d); @@ -59,27 +61,17 @@ extern int DP_Print; /* XXX */ -void inner_product_mat_int_mod(Q **,int **,int,int,int,Q *); -void solve_by_lu_mod(int **,int,int,int **,int); -void solve_by_lu_gfmmat(GFMMAT,unsigned int,unsigned int *,unsigned int *); -int lu_gfmmat(GFMMAT,unsigned int,int *); -void mat_to_gfmmat(MAT,unsigned int,GFMMAT *); -int generic_gauss_elim_mod(int **,int,int,int,int *); -int generic_gauss_elim(MAT ,MAT *,Q *,int **,int **); -void reduce_sp_by_red_mod_compress (int *,CDP *,int *,int,int,int); - -int gauss_elim_mod(int **,int,int,int); -int gauss_elim_mod1(int **,int,int,int); -int gauss_elim_geninv_mod(unsigned int **,int,int,int); -int gauss_elim_geninv_mod_swap(unsigned int **,int,int,unsigned int,unsigned int ***,int **); void Pnewvect(), Pnewmat(), Psepvect(), Psize(), Pdet(), Pleqm(), Pleqm1(), Pgeninvm(); +void Pinvmat(); void Pnewbytearray(); +void Pgeneric_gauss_elim(); void Pgeneric_gauss_elim_mod(); void Pmat_to_gfmmat(),Plu_gfmmat(),Psolve_by_lu_gfmmat(); -void Pgeninvm_swap(), Premainder(), Psremainder(), Pvtol(); +void Pgeninvm_swap(), Premainder(), Psremainder(), Pvtol(), Pltov(); +void Pgeninv_sf_swap(); void sepvect(); void Pmulmat_gf2n(); void Pbconvmat_gf2n(); @@ -92,28 +84,43 @@ void Pirredpoly_up2(); void Pnbpoly_up2(); void Pqsort(); void Pexponent_vector(); +void Pmat_swap_row_destructive(); +void Pmat_swap_col_destructive(); +void Pvect(); +void Pmat(); +void Pmatc(); +void Pnd_det(); struct ftab array_tab[] = { {"solve_by_lu_gfmmat",Psolve_by_lu_gfmmat,4}, {"lu_gfmmat",Plu_gfmmat,2}, {"mat_to_gfmmat",Pmat_to_gfmmat,2}, + {"generic_gauss_elim",Pgeneric_gauss_elim,1}, {"generic_gauss_elim_mod",Pgeneric_gauss_elim_mod,2}, {"newvect",Pnewvect,-2}, + {"vect",Pvect,-99999999}, {"vector",Pnewvect,-2}, {"exponent_vector",Pexponent_vector,-99999999}, {"newmat",Pnewmat,-3}, {"matrix",Pnewmat,-3}, + {"mat",Pmat,-99999999}, + {"matr",Pmat,-99999999}, + {"matc",Pmatc,-99999999}, {"newbytearray",Pnewbytearray,-2}, {"sepmat_destructive",Psepmat_destructive,2}, {"sepvect",Psepvect,2}, {"qsort",Pqsort,-2}, {"vtol",Pvtol,1}, + {"ltov",Pltov,1}, {"size",Psize,1}, {"det",Pdet,-2}, + {"nd_det",Pnd_det,-2}, + {"invmat",Pinvmat,-2}, {"leqm",Pleqm,2}, {"leqm1",Pleqm1,2}, {"geninvm",Pgeninvm,2}, {"geninvm_swap",Pgeninvm_swap,2}, + {"geninv_sf_swap",Pgeninv_sf_swap,1}, {"remainder",Premainder,2}, {"sremainder",Psremainder,2}, {"mulmat_gf2n",Pmulmat_gf2n,1}, @@ -124,11 +131,12 @@ struct ftab array_tab[] = { {"x962_irredpoly_up2",Px962_irredpoly_up2,2}, {"irredpoly_up2",Pirredpoly_up2,2}, {"nbpoly_up2",Pnbpoly_up2,2}, + {"mat_swap_row_destructive",Pmat_swap_row_destructive,3}, + {"mat_swap_col_destructive",Pmat_swap_col_destructive,3}, {0,0,0}, }; -int comp_obj(a,b) -Obj *a,*b; +int comp_obj(Obj *a,Obj *b) { return arf_comp(CO,*a,*b); } @@ -136,8 +144,7 @@ Obj *a,*b; static FUNC generic_comp_obj_func; static NODE generic_comp_obj_arg; -int generic_comp_obj(a,b) -Obj *a,*b; +int generic_comp_obj(Obj *a,Obj *b) { Q r; @@ -151,19 +158,31 @@ Obj *a,*b; } -void Pqsort(arg,rp) -NODE arg; -VECT *rp; +void Pqsort(NODE arg,VECT *rp) { VECT vect; - char buf[BUFSIZ]; - char *fname; - NODE n; + NODE n,n1; P p; V v; + FUNC func; + int len,i; + pointer *a; + Obj t; - asir_assert(ARG0(arg),O_VECT,"qsort"); - vect = (VECT)ARG0(arg); + t = ARG0(arg); + if (OID(t) == O_LIST) { + n = (NODE)BDY((LIST)t); + len = length(n); + MKVECT(vect,len); + for ( i = 0; i < len; i++, n = NEXT(n) ) { + BDY(vect)[i] = BDY(n); + } + + }else if (OID(t) != O_VECT) { + error("qsort : invalid argument"); + }else { + vect = (VECT)t; + } if ( argc(arg) == 1 ) qsort(BDY(vect),vect->len,sizeof(Obj),(int (*)(const void *,const void *))comp_obj); else { @@ -171,18 +190,28 @@ VECT *rp; if ( !p || OID(p)!=2 ) error("qsort : invalid argument"); v = VR(p); - if ( (int)v->attr != V_SR ) - error("qsort : no such function"); - generic_comp_obj_func = (FUNC)v->priv; + gen_searchf(NAME(v),&func); + if ( !func ) { + if ( (int)v->attr != V_SR ) + error("qsort : no such function"); + func = (FUNC)v->priv; + } + generic_comp_obj_func = func; MKNODE(n,0,0); MKNODE(generic_comp_obj_arg,0,n); qsort(BDY(vect),vect->len,sizeof(Obj),(int (*)(const void *,const void *))generic_comp_obj); } - *rp = vect; + if (OID(t) == O_LIST) { + a = BDY(vect); + for ( i = len - 1, n = 0; i >= 0; i-- ) { + MKNODE(n1,a[i],n); n = n1; + } + MKLIST((LIST)*rp,n); + }else { + *rp = vect; + } } -void PNBmul_gf2n(arg,rp) -NODE arg; -GF2N *rp; +void PNBmul_gf2n(NODE arg,GF2N *rp) { GF2N a,b; GF2MAT mat; @@ -219,9 +248,7 @@ GF2N *rp; } } -void Pmul_vect_mat_gf2n(arg,rp) -NODE arg; -GF2N *rp; +void Pmul_vect_mat_gf2n(NODE arg,GF2N *rp) { GF2N a; GF2MAT mat; @@ -252,9 +279,7 @@ GF2N *rp; } } -void Pbconvmat_gf2n(arg,rp) -NODE arg; -LIST *rp; +void Pbconvmat_gf2n(NODE arg,LIST *rp) { P p0,p1; int to; @@ -274,9 +299,7 @@ LIST *rp; MKLIST(*rp,n0); } -void Pmulmat_gf2n(arg,rp) -NODE arg; -GF2MAT *rp; +void Pmulmat_gf2n(NODE arg,GF2MAT *rp) { GF2MAT m; @@ -285,9 +308,7 @@ GF2MAT *rp; *rp = m; } -void Psepmat_destructive(arg,rp) -NODE arg; -LIST *rp; +void Psepmat_destructive(NODE arg,LIST *rp) { MAT mat,mat1; int i,j,row,col; @@ -318,17 +339,12 @@ LIST *rp; MKLIST(*rp,n0); } -void Psepvect(arg,rp) -NODE arg; -VECT *rp; +void Psepvect(NODE arg,VECT *rp) { sepvect((VECT)ARG0(arg),QTOS((Q)ARG1(arg)),rp); } -void sepvect(v,d,rp) -VECT v; -int d; -VECT *rp; +void sepvect(VECT v,int d,VECT *rp) { int i,j,k,n,q,q1,r; pointer *pv,*pw,*pu; @@ -352,9 +368,7 @@ VECT *rp; } } -void Pnewvect(arg,rp) -NODE arg; -VECT *rp; +void Pnewvect(NODE arg,VECT *rp) { int len,i,r; VECT vect; @@ -381,16 +395,47 @@ VECT *rp; *rp = vect; } -void Pexponent_vector(arg,rp) -NODE arg; -DP *rp; +void Pvect(NODE arg,VECT *rp) { + int len,i,r; + VECT vect; + pointer *vb; + NODE tn; + + if ( !arg ) { + *rp =0; + return; + } + + for (len = 0, tn = arg; tn; tn = NEXT(tn), len++); + if ( len == 1 ) { + if ( ARG0(arg) != 0 ) { + switch ( OID(ARG0(arg)) ) { + case O_VECT: + *rp = ARG0(arg); + return; + case O_LIST: + for ( len = 0, tn = ARG0(arg); tn; tn = NEXT(tn), len++ ); + MKVECT(vect,len-1); + for ( i = 0, tn = BDY((LIST)ARG0(arg)), vb =BDY(vect); + tn; i++, tn = NEXT(tn) ) + vb[i] = (pointer)BDY(tn); + *rp=vect; + return; + } + } + } + MKVECT(vect,len); + for ( i = 0, tn = arg, vb = BDY(vect); tn; i++, tn = NEXT(tn) ) + vb[i] = (pointer)BDY(tn); + *rp = vect; +} + +void Pexponent_vector(NODE arg,DP *rp) { nodetod(arg,rp); } -void Pnewbytearray(arg,rp) -NODE arg; -BYTEARRAY *rp; +void Pnewbytearray(NODE arg,BYTEARRAY *rp) { int len,i,r; BYTEARRAY array; @@ -432,9 +477,7 @@ BYTEARRAY *rp; *rp = array; } -void Pnewmat(arg,rp) -NODE arg; -MAT *rp; +void Pnewmat(NODE arg,MAT *rp) { int row,col; int i,j,r,c; @@ -469,10 +512,110 @@ MAT *rp; *rp = m; } -void Pvtol(arg,rp) -NODE arg; -LIST *rp; +void Pmat(NODE arg, MAT *rp) { + int row,col; + int i; + MAT m; + pointer **mb; + pointer *ent; + NODE tn, sn; + VECT v; + + if ( !arg ) { + *rp =0; + return; + } + + for (row = 0, tn = arg; tn; tn = NEXT(tn), row++); + if ( row == 1 ) { + if ( OID(ARG0(arg)) == O_MAT ) { + *rp=ARG0(arg); + return; + } else if ( !(OID(ARG0(arg)) == O_LIST || OID(ARG0(arg)) == O_VECT)) { + error("mat : invalid argument"); + } + } + if ( OID(ARG0(arg)) == O_VECT ) { + v = ARG0(arg); + col = v->len; + } else if ( OID(ARG0(arg)) == O_LIST ) { + for (col = 0, tn = BDY((LIST)ARG0(arg)); tn ; tn = NEXT(tn), col++); + } else { + error("mat : invalid argument"); + } + + MKMAT(m,row,col); + for (row = 0, tn = arg, mb = BDY(m); tn; tn = NEXT(tn), row++) { + if ( BDY(tn) == 0 ) { + error("mat : invalid argument"); + } else if ( OID(BDY(tn)) == O_VECT ) { + v = tn->body; + ent = BDY(v); + for (i = 0; i < v->len; i++ ) mb[row][i] = (Obj)ent[i]; + } else if ( OID(BDY(tn)) == O_LIST ) { + for (col = 0, sn = BDY((LIST)BDY(tn)); sn; col++, sn = NEXT(sn) ) + mb[row][col] = (pointer)BDY(sn); + } else { + error("mat : invalid argument"); + } + } + *rp = m; +} + +void Pmatc(NODE arg, MAT *rp) +{ + int row,col; + int i; + MAT m; + pointer **mb; + pointer *ent; + NODE tn, sn; + VECT v; + + if ( !arg ) { + *rp =0; + return; + } + + for (col = 0, tn = arg; tn; tn = NEXT(tn), col++); + if ( col == 1 ) { + if ( OID(ARG0(arg)) == O_MAT ) { + *rp=ARG0(arg); + return; + } else if ( !(OID(ARG0(arg)) == O_LIST || OID(ARG0(arg)) == O_VECT)) { + error("matc : invalid argument"); + } + } + if ( OID(ARG0(arg)) == O_VECT ) { + v = ARG0(arg); + row = v->len; + } else if ( OID(ARG0(arg)) == O_LIST ) { + for (row = 0, tn = BDY((LIST)ARG0(arg)); tn ; tn = NEXT(tn), row++); + } else { + error("matc : invalid argument"); + } + + MKMAT(m,row,col); + for (col = 0, tn = arg, mb = BDY(m); tn; tn = NEXT(tn), col++) { + if ( BDY(tn) == 0 ) { + error("matc : invalid argument"); + } else if ( OID(BDY(tn)) == O_VECT ) { + v = tn->body; + ent = BDY(v); + for (i = 0; i < v->len; i++ ) mb[i][col] = (Obj)ent[i]; + } else if ( OID(BDY(tn)) == O_LIST ) { + for (row = 0, sn = BDY((LIST)BDY(tn)); sn; row++, sn = NEXT(sn) ) + mb[row][col] = (pointer)BDY(sn); + } else { + error("matc : invalid argument"); + } + } + *rp = m; +} + +void Pvtol(NODE arg,LIST *rp) +{ NODE n,n1; VECT v; pointer *a; @@ -486,10 +629,23 @@ LIST *rp; MKLIST(*rp,n); } -void Premainder(arg,rp) -NODE arg; -Obj *rp; +void Pltov(NODE arg,VECT *rp) { + NODE n; + VECT v; + int len,i; + + asir_assert(ARG0(arg),O_LIST,"ltov"); + n = (NODE)BDY((LIST)ARG0(arg)); + len = length(n); + MKVECT(v,len); + for ( i = 0; i < len; i++, n = NEXT(n) ) + BDY(v)[i] = BDY(n); + *rp = v; +} + +void Premainder(NODE arg,Obj *rp) +{ Obj a; VECT v,w; MAT m,l; @@ -536,9 +692,7 @@ Obj *rp; } } -void Psremainder(arg,rp) -NODE arg; -Obj *rp; +void Psremainder(NODE arg,Obj *rp) { Obj a; VECT v,w; @@ -587,9 +741,7 @@ Obj *rp; } } -void Psize(arg,rp) -NODE arg; -LIST *rp; +void Psize(NODE arg,LIST *rp) { int n,m; @@ -615,9 +767,7 @@ LIST *rp; MKLIST(*rp,t); } -void Pdet(arg,rp) -NODE arg; -P *rp; +void Pdet(NODE arg,P *rp) { MAT m; int n,i,j,mod; @@ -641,6 +791,39 @@ P *rp; } } +void Pinvmat(NODE arg,LIST *rp) +{ + MAT m,r; + int n,i,j,mod; + P dn; + P **mat,**imat,**w; + NODE nd; + + m = (MAT)ARG0(arg); + asir_assert(m,O_MAT,"invmat"); + if ( m->row != m->col ) + error("invmat : non-square matrix"); + else if ( argc(arg) == 1 ) { + n = m->row; + invmatp(CO,(P **)BDY(m),n,&imat,&dn); + NEWMAT(r); r->row = n; r->col = n; r->body = (pointer **)imat; + nd = mknode(2,r,dn); + MKLIST(*rp,nd); + } else { + n = m->row; mod = QTOS((Q)ARG1(arg)); mat = (P **)BDY(m); + w = (P **)almat_pointer(n,n); + for ( i = 0; i < n; i++ ) + for ( j = 0; j < n; j++ ) + ptomp(mod,mat[i][j],&w[i][j]); +#if 0 + detmp(CO,mod,w,n,&d); + mptop(d,rp); +#else + error("not implemented yet"); +#endif + } +} + /* input : a row x col matrix A A[I] <-> A[I][0]*x_0+A[I][1]*x_1+... @@ -652,11 +835,48 @@ P *rp; B[I] <-> x_{R[I]}+B[I][0]x_{C[0]}+B[I][1]x_{C[1]}+... */ -void Pgeneric_gauss_elim_mod(arg,rp) -NODE arg; -LIST *rp; +void Pgeneric_gauss_elim(NODE arg,LIST *rp) { NODE n0; + MAT m,nm; + int *ri,*ci; + VECT rind,cind; + Q dn,q; + int i,j,k,l,row,col,t,rank; + + asir_assert(ARG0(arg),O_MAT,"generic_gauss_elim"); + m = (MAT)ARG0(arg); + row = m->row; col = m->col; + rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci); + t = col-rank; + MKVECT(rind,rank); + MKVECT(cind,t); + for ( i = 0; i < rank; i++ ) { + STOQ(ri[i],q); + BDY(rind)[i] = (pointer)q; + } + for ( i = 0; i < t; i++ ) { + STOQ(ci[i],q); + BDY(cind)[i] = (pointer)q; + } + n0 = mknode(4,nm,dn,rind,cind); + MKLIST(*rp,n0); +} + +/* + input : a row x col matrix A + A[I] <-> A[I][0]*x_0+A[I][1]*x_1+... + + output : [B,R,C] + B : a rank(A) x col-rank(A) matrix + R : a vector of length rank(A) + C : a vector of length col-rank(A) + B[I] <-> x_{R[I]}+B[I][0]x_{C[0]}+B[I][1]x_{C[1]}+... +*/ + +void Pgeneric_gauss_elim_mod(NODE arg,LIST *rp) +{ + NODE n0; MAT m,mat; VECT rind,cind; Q **tmat; @@ -664,7 +884,7 @@ LIST *rp; Q *rib,*cib; int *colstat; Q q; - int md,i,j,k,l,row,col,t,n,rank; + int md,i,j,k,l,row,col,t,rank; asir_assert(ARG0(arg),O_MAT,"generic_gauss_elim_mod"); asir_assert(ARG1(arg),O_N,"generic_gauss_elim_mod"); @@ -704,9 +924,7 @@ LIST *rp; MKLIST(*rp,n0); } -void Pleqm(arg,rp) -NODE arg; -VECT *rp; +void Pleqm(NODE arg,VECT *rp) { MAT m; VECT vect; @@ -745,9 +963,7 @@ VECT *rp; } } -int gauss_elim_mod(mat,row,col,md) -int **mat; -int row,col,md; +int gauss_elim_mod(int **mat,int row,int col,int md) { int i,j,k,inv,a,n; int *t,*pivot; @@ -785,12 +1001,9 @@ int row,col,md; } struct oEGT eg_mod,eg_elim,eg_elim1,eg_elim2,eg_chrem,eg_gschk,eg_intrat,eg_symb; +struct oEGT eg_conv; -int generic_gauss_elim(mat,nm,dn,rindp,cindp) -MAT mat; -MAT *nm; -Q *dn; -int **rindp,**cindp; +int generic_gauss_elim(MAT mat,MAT *nm,Q *dn,int **rindp,int **cindp) { int **wmat; Q **bmat; @@ -907,7 +1120,7 @@ RESET: add_eg(&eg_chrem_split,&tmp0,&tmp1); get_eg(&tmp0); - if ( ind % 16 ) + if ( ind % F4_INTRAT_PERIOD ) ret = 0; else ret = intmtoratm(crmat,m1,*nm,dn); @@ -942,11 +1155,7 @@ RESET: } } -int generic_gauss_elim_hensel(mat,nmmat,dn,rindp,cindp) -MAT mat; -MAT *nmmat; -Q *dn; -int **rindp,**cindp; +int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn,int **rindp,int **cindp) { MAT bmat,xmat; Q **a0,**a,**b,**x,**nm; @@ -963,6 +1172,7 @@ int **rindp,**cindp; int *rind,*cind; int count; struct oEGT eg_mul,eg_inv,tmp0,tmp1; + int period; a0 = (Q **)mat->body; row = mat->row; col = mat->col; @@ -980,7 +1190,7 @@ int **rindp,**cindp; } else wi[j] = 0; - rank = find_lhs_and_lu_mod(w,row,col,md,&rinfo,&cinfo); + rank = find_lhs_and_lu_mod((unsigned int **)w,row,col,md,&rinfo,&cinfo); a = (Q **)almat_pointer(rank,rank); /* lhs mat */ MKMAT(bmat,rank,col-rank); b = (Q **)bmat->body; /* lhs mat */ for ( j = li = ri = 0; j < col; j++ ) @@ -1010,8 +1220,10 @@ int **rindp,**cindp; *cindp = cind = (int *)MALLOC_ATOMIC((ri)*sizeof(int)); init_eg(&eg_mul); init_eg(&eg_inv); + period = F4_INTRAT_PERIOD; for ( q = ONE, count = 0; ; count++ ) { - fprintf(stderr,"."); + if ( DP_Print ) + fprintf(stderr,"."); /* wc = -b mod md */ for ( i = 0; i < rank; i++ ) for ( j = 0, bi = b[i], wi = wc[i]; j < ri; j++ ) @@ -1050,33 +1262,34 @@ int **rindp,**cindp; add_eg(&eg_mul,&tmp0,&tmp1); /* q = q*md */ mulq(q,mdq,&u); q = u; - if ( !(count % 16) && intmtoratm_q(xmat,NM(q),*nmmat,dn) ) { - for ( j = k = l = 0; j < col; j++ ) - if ( cinfo[j] ) - rind[k++] = j; - else - cind[l++] = j; - if ( gensolve_check(mat,*nmmat,*dn,rind,cind) ) { - fprintf(stderr,"\n"); - print_eg("INV",&eg_inv); - print_eg("MUL",&eg_mul); - fflush(asir_out); - return rank; - } - } + if ( !(count % period) ) + if ( intmtoratm_q(xmat,NM(q),*nmmat,dn) ) { + for ( j = k = l = 0; j < col; j++ ) + if ( cinfo[j] ) + rind[k++] = j; + else + cind[l++] = j; + if ( gensolve_check(mat,*nmmat,*dn,rind,cind) ) { + if ( DP_Print ) { + fprintf(stderr,"\n"); + print_eg("INV",&eg_inv); + print_eg("MUL",&eg_mul); + fflush(asir_out); + } + return rank; + } + } else + period *=2; } } } int f4_nocheck; -int gensolve_check(mat,nm,dn,rind,cind) -MAT mat,nm; -Q dn; -int *rind,*cind; +int gensolve_check(MAT mat,MAT nm,Q dn,int *rind,int *cind) { int row,col,rank,clen,i,j,k,l; - Q s,t,u; + Q s,t; Q *w; Q *mati,*nmk; @@ -1121,13 +1334,10 @@ int *rind,*cind; /* assuming 0 < c < m */ -int inttorat(c,m,b,sgnp,nmp,dnp) -N c,m,b; -int *sgnp; -N *nmp,*dnp; +int inttorat(N c,N m,N b,int *sgnp,N *nmp,N *dnp) { - Q qq,t,u1,v1,r1,nm; - N q,r,u2,v2,r2; + Q qq,t,u1,v1,r1; + N q,u2,v2,r2; u1 = 0; v1 = ONE; u2 = m; v2 = c; while ( cmpn(v2,b) >= 0 ) { @@ -1146,14 +1356,10 @@ N *nmp,*dnp; /* mat->body = N ** */ -int intmtoratm(mat,md,nm,dn) -MAT mat; -N md; -MAT nm; -Q *dn; +int intmtoratm(MAT mat,N md,MAT nm,Q *dn) { N t,s,b; - Q bound,dn0,dn1,nm1,q,tq; + Q dn0,dn1,nm1,q; int i,j,k,l,row,col; Q **rmat; N **tmat; @@ -1203,14 +1409,10 @@ Q *dn; /* mat->body = Q ** */ -int intmtoratm_q(mat,md,nm,dn) -MAT mat; -N md; -MAT nm; -Q *dn; +int intmtoratm_q(MAT mat,N md,MAT nm,Q *dn) { N t,s,b; - Q bound,dn0,dn1,nm1,q,tq; + Q dn0,dn1,nm1,q; int i,j,k,l,row,col; Q **rmat; Q **tmat; @@ -1262,10 +1464,7 @@ Q *dn; #define ONE_STEP1 if ( zzz = *s ) { DMAR(zzz,hc,*tj,md,*tj) } tj++; s++; -void reduce_reducers_mod(mat,row,col,md) -int **mat; -int row,col; -int md; +void reduce_reducers_mod(int **mat,int row,int col,int md) { int i,j,k,l,hc,zzz; int *t,*s,*tj,*ind; @@ -1320,10 +1519,7 @@ int md; 2. reduce spolys by the reduced reducers */ -void pre_reduce_mod(mat,row,col,nred,md) -int **mat; -int row,col,nred; -int md; +void pre_reduce_mod(int **mat,int row,int col,int nred,int md) { int i,j,k,l,hc,inv; int *t,*s,*tk,*ind; @@ -1373,14 +1569,10 @@ int md; mat[0] < mat[1] < ... < mat[nred-1] w.r.t the term order */ -void reduce_sp_by_red_mod(sp,redmat,ind,nred,col,md) -int *sp,**redmat; -int *ind; -int nred,col; -int md; +void reduce_sp_by_red_mod(int *sp,int **redmat,int *ind,int nred,int col,int md) { int i,j,k,hc,zzz; - int *t,*s,*tj; + int *s,*tj; /* reduce the spolys by redmat */ for ( i = nred-1; i >= 0; i-- ) { @@ -1399,64 +1591,21 @@ int md; } /* - rlist : reducers list - ht(BDY(rlist)) < ht(BDY(NEXT(rlist)) < ... w.r.t. the term order -*/ - -void reduce_reducers_mod_compress(rlist,nred,at,col,md,redmatp,indredp) -NODE rlist; -int nred; -DL *at; -int col,md; -CDP **redmatp; -int **indredp; -{ - CDP *redmat; - CDP t; - int *indred,*w; - int i,k; - NODE r; - - *redmatp = redmat = (CDP *)CALLOC(nred,sizeof(CDP)); - *indredp = indred = (int *)CALLOC(nred,sizeof(int)); - w = (int *)CALLOC(col,sizeof(int)); - - _dpmod_to_vect_compress(BDY(rlist),at,&redmat[0]); - indred[0] = redmat[0]->body[0].index; - - for ( i = 1, r = NEXT(rlist); i < nred; i++, r = NEXT(r) ) { - bzero(w,col*sizeof(int)); - _dpmod_to_vect(BDY(r),at,w); - reduce_sp_by_red_mod_compress(w,redmat,indred,i,col,md); - compress_vect(w,col,&redmat[i]); - indred[i] = redmat[i]->body[0].index; - } -} - -/* mat[i] : compressed reducers (i=0,...,nred-1) mat[0] < mat[1] < ... < mat[nred-1] w.r.t the term order */ -#define DMA0(a1,a2,a3,u,l)\ -asm volatile("movl %2,%%eax; mull %3; addl %4,%%eax; adcl $0,%%edx; movl %%edx,%0; movl %%eax,%1" :"=g"(u), "=g"(l) :"g"(a1),"g"(a2),"g"(a3) :"ax","dx"); - -int red_by_compress(m,p,r,hc,len) -int m; -unsigned int *p; -struct oCM *r; -unsigned int hc; -int len; +void red_by_compress(int m,unsigned int *p,unsigned int *r, + unsigned int *ri,unsigned int hc,int len) { - int k; - register unsigned int up,lo; + unsigned int up,lo; unsigned int dmy; unsigned int *pj; - p[r->index] = 0; r++; - for ( k = 1; k < len; k++, r++ ) { - pj = p+r->index; - DMA0(r->c,hc,*pj,up,lo); + p[*ri] = 0; r++; ri++; + for ( len--; len; len--, r++, ri++ ) { + pj = p+ *ri; + DMA(*r,hc,*pj,up,lo); if ( up ) { DSAB(m,up,lo,dmy,*pj); } else @@ -1466,11 +1615,7 @@ int len; /* p -= hc*r */ -int red_by_vect(m,p,r,hc,len) -int m; -unsigned int *p,*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 dmy; @@ -1478,7 +1623,7 @@ int len; *p++ = 0; r++; len--; for ( ; len; len--, r++, p++ ) if ( *r ) { - DMA0(*r,hc,*p,up,lo); + DMA(*r,hc,*p,up,lo); if ( up ) { DSAB(m,up,lo,dmy,*p); } else @@ -1486,19 +1631,23 @@ int len; } } -void reduce_sp_by_red_mod_compress (sp,redmat,ind,nred,col,md) -int *sp; -CDP *redmat; -int *ind; -int nred,col; -int md; +void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len) { - int i,j,k,len; - unsigned int *tj; + *p++ = 0; r++; len--; + for ( ; len; len--, r++, p++ ) + if ( *r ) + *p = _addsf(_mulsf(*r,hc),*p); +} + +extern unsigned int **psca; + +void reduce_sp_by_red_mod_compress (int *sp,CDP *redmat,int *ind, + int nred,int col,int md) +{ + int i,len; CDP ri; - unsigned int hc,up,lo,up1,lo1,c; + unsigned int hc; unsigned int *usp; - struct oCM *rib; usp = (unsigned int *)sp; /* reduce the spolys by redmat */ @@ -1510,23 +1659,20 @@ int md; hc = md-hc; ri = redmat[i]; len = ri->len; - red_by_compress(md,usp,ri->body,hc,len); + red_by_compress(md,usp,psca[ri->psindex],ri->body,hc,len); } } for ( i = 0; i < col; i++ ) - if ( usp[i] >= md ) + if ( usp[i] >= (unsigned int)md ) usp[i] %= md; } #define ONE_STEP2 if ( zzz = *pk ) { DMAR(zzz,a,*tk,md,*tk) } pk++; tk++; -int generic_gauss_elim_mod(mat0,row,col,md,colstat) -int **mat0; -int row,col,md; -int *colstat; +int generic_gauss_elim_mod(int **mat0,int row,int col,int md,int *colstat) { - int i,j,k,l,inv,a,rank,zzz; - unsigned int *t,*pivot,*pk,*tk; + int i,j,k,l,inv,a,rank; + unsigned int *t,*pivot,*pk; unsigned int **mat; mat = (unsigned int **)mat0; @@ -1548,7 +1694,7 @@ int *colstat; inv = invm(pivot[j],md); for ( k = j, pk = pivot+k; k < col; k++, pk++ ) if ( *pk ) { - if ( *pk >= md ) + if ( *pk >= (unsigned int)md ) *pk %= md; DMAR(*pk,inv,0,md,*pk) } @@ -1574,22 +1720,63 @@ int *colstat; if ( colstat[j] ) { t = mat[l]; for ( k = j; k < col; k++ ) - if ( t[k] >= md ) + 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 i,j,k,l,inv,a,rank; + 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; + } else + colstat[j] = 1; + if ( i != rank ) { + t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; + } + pivot = mat[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] ) + 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]; + for ( i = 0; i < l; i++ ) { + t = mat[i]; + if ( a = t[j] ) + red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j); + } + l--; + } + return rank; +} + /* LU decomposition; a[i][i] = 1/U[i][i] */ -int lu_gfmmat(mat,md,perm) -GFMMAT mat; -unsigned int md; -int *perm; +int lu_gfmmat(GFMMAT mat,unsigned int md,int *perm) { int row,col; - int i,j,k,l; + int i,j,k; unsigned int *t,*pivot; unsigned int **a; unsigned int inv,m; @@ -1641,12 +1828,10 @@ int *perm; cinfo[j]=1 <=> j-th column is contained in the LU decomp. */ -int find_lhs_and_lu_mod(a,row,col,md,rinfo,cinfo) -unsigned int **a; -unsigned int md; -int **rinfo,**cinfo; +int find_lhs_and_lu_mod(unsigned int **a,int row,int col, + unsigned int md,int **rinfo,int **cinfo) { - int i,j,k,l,d; + int i,j,k,d; int *rp,*cp; unsigned int *t,*pivot; unsigned int inv,m; @@ -1694,12 +1879,7 @@ int **rinfo,**cinfo; b = a^(-1)b */ -void solve_by_lu_mod(a,n,md,b,l) -int **a; -int n; -int md; -int **b; -int l; +void solve_by_lu_mod(int **a,int n,int md,int **b,int l) { unsigned int *y,*c; int i,j,k; @@ -1737,9 +1917,7 @@ int l; } } -void Pleqm1(arg,rp) -NODE arg; -VECT *rp; +void Pleqm1(NODE arg,VECT *rp) { MAT m; VECT vect; @@ -1778,9 +1956,7 @@ VECT *rp; } } -gauss_elim_mod1(mat,row,col,md) -int **mat; -int row,col,md; +int gauss_elim_mod1(int **mat,int row,int col,int md) { int i,j,k,inv,a,n; int *t,*pivot; @@ -1817,9 +1993,7 @@ int row,col,md; return -1; } -void Pgeninvm(arg,rp) -NODE arg; -LIST *rp; +void Pgeninvm(NODE arg,LIST *rp) { MAT m; pointer **mat; @@ -1853,17 +2027,15 @@ LIST *rp; MKMAT(mat1,col,row); MKMAT(mat2,row-col,row); for ( i = 0, tmat = (Q **)mat1->body; i < col; i++ ) for ( j = 0; j < row; j++ ) - STOQ(wmat[i][j+col],tmat[i][j]); + UTOQ(wmat[i][j+col],tmat[i][j]); for ( tmat = (Q **)mat2->body; i < row; i++ ) for ( j = 0; j < row; j++ ) - STOQ(wmat[i][j+col],tmat[i-col][j]); + UTOQ(wmat[i][j+col],tmat[i-col][j]); MKNODE(node2,mat2,0); MKNODE(node1,mat1,node2); MKLIST(*rp,node1); } } -int gauss_elim_geninv_mod(mat,row,col,md) -unsigned int **mat; -int row,col,md; +int gauss_elim_geninv_mod(unsigned int **mat,int row,int col,int md) { int i,j,k,inv,a,n,m; unsigned int *t,*pivot; @@ -1899,9 +2071,7 @@ int row,col,md; return 0; } -void Psolve_by_lu_gfmmat(arg,rp) -NODE arg; -VECT *rp; +void Psolve_by_lu_gfmmat(NODE arg,VECT *rp) { GFMMAT lu; Q *perm,*rhs,*v; @@ -1922,15 +2092,12 @@ VECT *rp; solve_by_lu_gfmmat(lu,md,b,sol); MKVECT(r,n); for ( i = 0, v = (Q *)r->body; i < n; i++ ) - STOQ(sol[i],v[i]); + UTOQ(sol[i],v[i]); *rp = r; } -void solve_by_lu_gfmmat(lu,md,b,x) -GFMMAT lu; -unsigned int md; -unsigned int *b; -unsigned int *x; +void solve_by_lu_gfmmat(GFMMAT lu,unsigned int md, + unsigned int *b,unsigned int *x) { int n; unsigned int **a; @@ -1962,9 +2129,7 @@ unsigned int *x; } } -void Plu_gfmmat(arg,rp) -NODE arg; -LIST *rp; +void Plu_gfmmat(NODE arg,LIST *rp) { MAT m; GFMMAT mm; @@ -1994,9 +2159,7 @@ LIST *rp; MKLIST(*rp,n0); } -void Pmat_to_gfmmat(arg,rp) -NODE arg; -GFMMAT *rp; +void Pmat_to_gfmmat(NODE arg,GFMMAT *rp) { MAT m; unsigned int md; @@ -2007,10 +2170,7 @@ GFMMAT *rp; mat_to_gfmmat(m,md,rp); } -void mat_to_gfmmat(m,md,rp) -MAT m; -unsigned int md; -GFMMAT *rp; +void mat_to_gfmmat(MAT m,unsigned int md,GFMMAT *rp) { unsigned int **wmat; unsigned int t; @@ -2136,14 +2296,108 @@ int **indexp; return 0; } +void Pgeninv_sf_swap(NODE arg,LIST *rp) +{ + MAT m; + GFS **mat,**tmat; + Q *tvect; + GFS q; + int **wmat,**invmat; + int *index; + unsigned int t; + int i,j,row,col,status; + MAT mat1; + VECT vect1; + NODE node1,node2; + + asir_assert(ARG0(arg),O_MAT,"geninv_sf_swap"); + m = (MAT)ARG0(arg); + row = m->row; col = m->col; mat = (GFS **)m->body; + wmat = (int **)almat(row,col+row); + for ( i = 0; i < row; i++ ) { + bzero((char *)wmat[i],(col+row)*sizeof(int)); + for ( j = 0; j < col; j++ ) + if ( q = (GFS)mat[i][j] ) + wmat[i][j] = FTOIF(CONT(q)); + wmat[i][col+i] = _onesf(); + } + status = gauss_elim_geninv_sf_swap(wmat,row,col,&invmat,&index); + if ( status > 0 ) + *rp = 0; + else { + MKMAT(mat1,col,col); + for ( i = 0, tmat = (GFS **)mat1->body; i < col; i++ ) + for ( j = 0; j < col; j++ ) + if ( t = invmat[i][j] ) { + MKGFS(IFTOF(t),tmat[i][j]); + } + MKVECT(vect1,row); + for ( i = 0, tvect = (Q *)vect1->body; i < row; i++ ) + STOQ(index[i],tvect[i]); + MKNODE(node2,vect1,0); MKNODE(node1,mat1,node2); MKLIST(*rp,node1); + } +} + +int gauss_elim_geninv_sf_swap(int **mat,int row,int col, + int ***invmatp,int **indexp) +{ + int i,j,k,inv,a,n,m,u; + int *t,*pivot,*s; + int *index; + int **invmat; + + n = col; m = row+col; + *indexp = index = (int *)MALLOC_ATOMIC(row*sizeof(int)); + for ( i = 0; i < row; i++ ) + index[i] = i; + for ( j = 0; j < n; j++ ) { + for ( i = j; i < row && !mat[i][j]; i++ ); + if ( i == row ) { + *indexp = 0; *invmatp = 0; return 1; + } + if ( i != j ) { + t = mat[i]; mat[i] = mat[j]; mat[j] = t; + k = index[i]; index[i] = index[j]; index[j] = k; + } + pivot = mat[j]; + inv = _invsf(pivot[j]); + for ( k = j; k < m; k++ ) + if ( pivot[k] ) + pivot[k] = _mulsf(pivot[k],inv); + for ( i = j+1; i < row; i++ ) { + t = mat[i]; + if ( a = t[j] ) + for ( k = j, a = _chsgnsf(a); k < m; k++ ) + if ( pivot[k] ) { + u = _mulsf(pivot[k],a); + t[k] = _addsf(u,t[k]); + } + } + } + for ( j = n-1; j >= 0; j-- ) { + pivot = mat[j]; + for ( i = j-1; i >= 0; i-- ) { + t = mat[i]; + if ( a = t[j] ) + for ( k = j, a = _chsgnsf(a); k < m; k++ ) + if ( pivot[k] ) { + u = _mulsf(pivot[k],a); + t[k] = _addsf(u,t[k]); + } + } + } + *invmatp = invmat = (int **)almat(col,col); + for ( i = 0; i < col; i++ ) + for ( j = 0, s = invmat[i], t = mat[i]; j < col; j++ ) + s[j] = t[col+index[j]]; + return 0; +} + void _addn(N,N,N); int _subn(N,N,N); void _muln(N,N,N); -void inner_product_int(a,b,n,r) -Q *a,*b; -int n; -Q *r; +void inner_product_int(Q *a,Q *b,int n,Q *r) { int la,lb,i; int sgn,sgn1; @@ -2196,11 +2450,7 @@ Q *r; /* (k,l) element of a*b where a: .x n matrix, b: n x . integer matrix */ -void inner_product_mat_int_mod(a,b,n,k,l,r) -Q **a; -int **b; -int n,k,l; -Q *r; +void inner_product_mat_int_mod(Q **a,int **b,int n,int k,int l,Q *r) { int la,lb,i; int sgn,sgn1; @@ -2256,9 +2506,7 @@ Q *r; NTOQ(sum,sgn,*r); } -void Pmul_mat_vect_int(arg,rp) -NODE arg; -VECT *rp; +void Pmul_mat_vect_int(NODE arg,VECT *rp) { MAT mat; VECT vect,r; @@ -2269,14 +2517,13 @@ VECT *rp; row = mat->row; col = mat->col; MKVECT(r,row); - for ( i = 0; i < row; i++ ) - inner_product_int(mat->body[i],vect->body,col,&r->body[i]); + for ( i = 0; i < row; i++ ) { + inner_product_int((Q *)mat->body[i],(Q *)vect->body,col,(Q *)&r->body[i]); + } *rp = r; } -void Pnbpoly_up2(arg,rp) -NODE arg; -GF2N *rp; +void Pnbpoly_up2(NODE arg,GF2N *rp) { int m,type,ret; UP2 r; @@ -2290,11 +2537,9 @@ GF2N *rp; *rp = 0; } -void Px962_irredpoly_up2(arg,rp) -NODE arg; -GF2N *rp; +void Px962_irredpoly_up2(NODE arg,GF2N *rp) { - int m,type,ret,w; + int m,ret,w; GF2N prev; UP2 r; @@ -2310,18 +2555,16 @@ GF2N *rp; bzero((char *)r->b,w*sizeof(unsigned int)); } } - ret = _generate_irreducible_polynomial(r,m,type); + ret = _generate_irreducible_polynomial(r,m); if ( ret == 0 ) MKGF2N(r,*rp); else *rp = 0; } -void Pirredpoly_up2(arg,rp) -NODE arg; -GF2N *rp; +void Pirredpoly_up2(NODE arg,GF2N *rp) { - int m,type,ret,w; + int m,ret,w; GF2N prev; UP2 r; @@ -2337,13 +2580,55 @@ GF2N *rp; bzero((char *)r->b,w*sizeof(unsigned int)); } } - ret = _generate_good_irreducible_polynomial(r,m,type); + ret = _generate_good_irreducible_polynomial(r,m); if ( ret == 0 ) MKGF2N(r,*rp); else *rp = 0; } +void Pmat_swap_row_destructive(NODE arg, MAT *m) +{ + int i1,i2; + pointer *t; + MAT mat; + + asir_assert(ARG0(arg),O_MAT,"mat_swap_row_destructive"); + asir_assert(ARG1(arg),O_N,"mat_swap_row_destructive"); + asir_assert(ARG2(arg),O_N,"mat_swap_row_destructive"); + mat = (MAT)ARG0(arg); + i1 = QTOS((Q)ARG1(arg)); + i2 = QTOS((Q)ARG2(arg)); + if ( i1 < 0 || i2 < 0 || i1 >= mat->row || i2 >= mat->row ) + error("mat_swap_row_destructive : Out of range"); + t = mat->body[i1]; + mat->body[i1] = mat->body[i2]; + mat->body[i2] = t; + *m = mat; +} + +void Pmat_swap_col_destructive(NODE arg, MAT *m) +{ + int j1,j2,i,n; + pointer *mi; + pointer t; + MAT mat; + + asir_assert(ARG0(arg),O_MAT,"mat_swap_col_destructive"); + asir_assert(ARG1(arg),O_N,"mat_swap_col_destructive"); + asir_assert(ARG2(arg),O_N,"mat_swap_col_destructive"); + mat = (MAT)ARG0(arg); + j1 = QTOS((Q)ARG1(arg)); + j2 = QTOS((Q)ARG2(arg)); + if ( j1 < 0 || j2 < 0 || j1 >= mat->col || j2 >= mat->col ) + error("mat_swap_col_destructive : Out of range"); + n = mat->row; + for ( i = 0; i < n; i++ ) { + mi = mat->body[i]; + t = mi[j1]; mi[j1] = mi[j2]; mi[j2] = t; + } + *m = mat; +} /* * f = type 'type' normal polynomial of degree m if exists * IEEE P1363 A.7.2 @@ -2617,9 +2902,7 @@ PENTA: return 1; } -printqmat(mat,row,col) -Q **mat; -int row,col; +void printqmat(Q **mat,int row,int col) { int i,j; @@ -2631,9 +2914,7 @@ int row,col; } } -printimat(mat,row,col) -int **mat; -int row,col; +void printimat(int **mat,int row,int col) { int i,j; @@ -2643,4 +2924,12 @@ int row,col; } printf("\n"); } +} + +void Pnd_det(NODE arg,P *rp) +{ + if ( argc(arg) == 1 ) + nd_det(0,ARG0(arg),rp); + else + nd_det(QTOS((Q)ARG1(arg)),ARG0(arg),rp); }