/* $OpenXM: OpenXM_contrib2/asir2000/engine/gf2n.c,v 1.1 1999/12/03 07:39:08 noro Exp $ */ #include "ca.h" #include "base.h" extern int lm_lazy; GEN_UP2 current_mod_gf2n; void setmod_gf2n(p) P p; { if ( !current_mod_gf2n ) { current_mod_gf2n = (GEN_UP2)MALLOC(sizeof(struct oGEN_UP2)); current_mod_gf2n->id = UP2_SPARSE; /* use sparse rep. by default */ } ptoup2(p,¤t_mod_gf2n->dense); ptoup2_sparse(p,¤t_mod_gf2n->sparse); } void getmod_gf2n(p) UP2 *p; { if ( current_mod_gf2n ) *p = current_mod_gf2n->dense; else *p = 0; } void simpgf2n(n,r) GF2N n; GF2N *r; { UP2 rem; if ( !n ) *r = 0; else if ( NID(n) != N_GF2N ) *r = n; else { gen_simpup2(n->body,current_mod_gf2n,&rem); MKGF2N(rem,*r); } } void ptogf2n(q,l) Obj q; GF2N *l; { UP2 q1; if ( !q || (OID(q)==O_N && NID(q)==N_GF2N) ) { *l = (GF2N)q; } else if ( (OID(q)==O_N && NID(q)==N_Q) || OID(q)==O_P ) { ptoup2((P)q,&q1); MKGF2N(q1,*l); } else error("ptogf2n : invalid argument"); } void gf2ntop(q,l) GF2N q; P *l; { if ( !q ) *l = 0; else up2top(q->body,l); } void gf2ntovect(q,l) GF2N q; VECT *l; { if ( !q ) *l = 0; else up2tovect(q->body,l); } #define NZGF2N(a) ((a)&&(OID(a)==O_N)&&(NID(a)==N_GF2N)) void addgf2n(a,b,c) GF2N a,b; GF2N *c; { UP2 t,t1; GF2N z; ptogf2n((Obj)a,&z); a = z; ptogf2n((Obj)b,&z); b = z; if ( !a ) *c = b; else if ( !b ) *c = a; else { addup2(a->body,b->body,&t); gen_simpup2(t,current_mod_gf2n,&t1); MKGF2N(t1,*c); } } void subgf2n(a,b,c) GF2N a,b; GF2N *c; { addgf2n(a,b,c); } void mulgf2n(a,b,c) GF2N a,b; GF2N *c; { UP2 t; GF2N z; ptogf2n((Obj)a,&z); a = z; ptogf2n((Obj)b,&z); b = z; if ( !a || !b ) *c = 0; else { mulup2(a->body,b->body,&t); #if 0 gen_simpup2(t,current_mod_gf2n,&t1); MKGF2N(t1,*c); #else gen_simpup2_destructive(t,current_mod_gf2n); if ( !t || !t->w ) *c = 0; else MKGF2N(t,*c); #endif } } void squaregf2n(a,c) GF2N a; GF2N *c; { UP2 t; GF2N z; ptogf2n((Obj)a,&z); a = z; if ( !a ) *c = 0; else { squareup2(a->body,&t); #if 0 gen_simpup2(t,current_mod_gf2n,&t1); MKGF2N(t1,*c); #else gen_simpup2_destructive(t,current_mod_gf2n); if ( !t || !t->w ) *c = 0; else MKGF2N(t,*c); #endif } } void divgf2n(a,b,c) GF2N a,b; GF2N *c; { UP2 t,i,s; GF2N z; ptogf2n((Obj)a,&z); a = z; ptogf2n((Obj)b,&z); b = z; if ( !b ) error("divgf2n: division by 0"); else if ( !a ) *c = 0; else { gen_invup2(b->body,current_mod_gf2n,&i); mulup2(a->body,i,&t); gen_simpup2(t,current_mod_gf2n,&s); MKGF2N(s,*c); } } void invgf2n(b,c) GF2N b; GF2N *c; { UP2 i; GF2N z; ptogf2n((Obj)b,&z); b = z; if ( !b ) error("divgf2n: division by 0"); else { gen_invup2(b->body,current_mod_gf2n,&i); MKGF2N(i,*c); } } void chsgngf2n(a,c) GF2N a,*c; { *c = a; } void pwrgf2n(a,b,c) GF2N a; Q b; GF2N *c; { UP2 t; GF2N r; if ( !b ) { MKGF2N(ONEUP2,*c); } else if ( !a ) *c = 0; else { gen_pwrmodup2(a->body,b,current_mod_gf2n,&t); MKGF2N(t,r); if ( SGN(b) < 0 ) invgf2n(r,c); else *c = r; } } int cmpgf2n(a,b) GF2N a,b; { GF2N z; ptogf2n((Obj)a,&z); a = z; ptogf2n((Obj)b,&z); b = z; if ( !a ) if ( !b ) return 0; else return -1; else if ( !b ) return 1; else return compup2(a->body,b->body); } void randomgf2n(r) GF2N *r; { int i,w,d; unsigned int *tb; UP2 t; if ( !current_mod_gf2n ) error("randomgf2n : current_mod_gf2n is not set"); w = current_mod_gf2n->dense->w; d = degup2(current_mod_gf2n->dense); NEWUP2(t,w); for ( i = 0, tb = t->b; i < w; i++ ) tb[i] = mt_genrand(); tb[w-1] &= (1<<(d%BSH))-1; for ( i = w-1; i >= 0 && !tb[i]; i-- ); if ( i < 0 ) *r = 0; else { t->w = i+1; MKGF2N(t,*r); } }