int main()
{
#ifdef MR_GENERIC_MT
miracl instance;
#endif
big p,A,B,fr,q,delta,t,T;
zzn2 res,Qx,Qy;
epoint *P;
int i,romptr;
#ifndef MR_STATIC
#ifdef MR_GENERIC_MT
miracl *mr_mip=mirsys(&instance,WORDS*NPW,16);
#else
miracl *mr_mip=mirsys(WORDS*NPW,16);
#endif
char *mem=memalloc(_MIPP_ 14);
char *mem1=ecp_memalloc(_MIPP_ 1);
#else
#ifdef MR_GENERIC_MT
miracl *mr_mip=mirsys(&instance,MR_STATIC*NPW,16);
#else
miracl *mr_mip=mirsys(MR_STATIC*NPW,16);
#endif
char mem[MR_BIG_RESERVE(14)]; /* reserve space on the stack for 14 bigs */
char mem1[MR_ECP_RESERVE(1)]; /* reserve space on stack for 1 curve points */
memset(mem,0,MR_BIG_RESERVE(14)); /* clear this memory */
memset(mem1,0,MR_ECP_RESERVE(1));
#endif
p=mirvar_mem(_MIPP_ mem,0);
A=mirvar_mem(_MIPP_ mem,1);
B=mirvar_mem(_MIPP_ mem,2);
T=mirvar_mem(_MIPP_ mem,3);
q=mirvar_mem(_MIPP_ mem,4);
fr=mirvar_mem(_MIPP_ mem,5);
delta=mirvar_mem(_MIPP_ mem,6);
res.a=mirvar_mem(_MIPP_ mem,7);
res.b=mirvar_mem(_MIPP_ mem,8);
t=mirvar_mem(_MIPP_ mem,9);
Qx.a=mirvar_mem(_MIPP_ mem,10);
Qx.b=mirvar_mem(_MIPP_ mem,11);
Qy.a=mirvar_mem(_MIPP_ mem,12);
Qy.b=mirvar_mem(_MIPP_ mem,13);
P=epoint_init_mem(_MIPP_ mem1,0);
convert(_MIPP_ -3,A);
romptr=0;
init_big_from_rom(p,WORDS,romp,ROMSZ,&romptr);
init_big_from_rom(B,WORDS,romp,ROMSZ,&romptr);
init_big_from_rom(q,WORDS,romp,ROMSZ,&romptr);
init_big_from_rom(delta,WORDS,romp,ROMSZ,&romptr);
init_big_from_rom(fr,WORDS,romp,ROMSZ,&romptr);
init_big_from_rom(T,WORDS,romp,ROMSZ,&romptr);
#ifndef MR_NO_STANDARD_IO
printf("ROM size= %d\n",sizeof(romp)+sizeof(Prom));
printf("sizeof(miracl)= %d\n",sizeof(miracl));
#endif
ecurve_init(_MIPP_ A,B,p,MR_PROJECTIVE);
romptr=0;
init_point_from_rom(P,WORDS,Prom,PROMSZ,&romptr);
init_big_from_rom(Qx.a,WORDS,Prom,PROMSZ,&romptr);
init_big_from_rom(Qx.b,WORDS,Prom,PROMSZ,&romptr);
init_big_from_rom(Qy.a,WORDS,Prom,PROMSZ,&romptr);
init_big_from_rom(Qy.b,WORDS,Prom,PROMSZ,&romptr);
#ifdef MR_COUNT_OPS
fpa=fpc=fpx=0;
#endif
ecap(_MIPP_ &Qx,&Qy,P,T,fr,delta,&res);
/*
#ifdef MR_COUNT_OPS
printf("fpc= %d\n",fpc);
printf("fpa= %d\n",fpa);
printf("fpx= %d\n",fpx);
fpa=fpc=fpx=0;
#endif
*/
bigbits(_MIPP_ 160,t);
zzn2_powl(_MIPP_ &res,t,&res);
#ifndef MR_NO_STANDARD_IO
zzn2_out(_MIPP_ "res= ",&res);
#endif
ecurve_mult(_MIPP_ t,P,P);
ecap(_MIPP_ &Qx,&Qy,P,T,fr,delta,&res);
#ifndef MR_NO_STANDARD_IO
zzn2_out(_MIPP_ "res= ",&res);
#endif
#ifndef MR_STATIC
memkill(_MIPP_ mem,14);
ecp_memkill(_MIPP_ mem1,1);
#else
memset(mem,0,MR_BIG_RESERVE(14)); /* clear this stack memory */
memset(mem1,0,MR_ECP_RESERVE(1));
#endif
return 0;
}
int main()
{
big a2,a6,bx,r;
big res[4];
epoint *P,*Q;
int i,romptr;
miracl instance; /* sizeof(miracl)= 2000 bytes from the stack */
#ifndef MR_STATIC
#ifdef MR_GENERIC_MT
miracl *mr_mip=mirsys(WORDS*NPW,16);
#else
miracl *mr_mip=mirsys(WORDS*NPW,16);
#endif
char *mem=(char *)memalloc(_MIPP_ 8);
char *mem1=(char *)ecp_memalloc(_MIPP_ 2);
#else
#ifdef MR_GENERIC_MT
miracl *mr_mip=mirsys(&instance,MR_STATIC*NPW,16); /* size of bigs is fixed */
#else
miracl *mr_mip=mirsys(&instance,MR_STATIC*NPW,16);
#endif
char mem[MR_BIG_RESERVE(8)]; /* reserve space on the stack for 8 bigs */
char mem1[MR_ECP_RESERVE(2)]; /* reserve space on stack for 2 curve points */
memset(mem,0,MR_BIG_RESERVE(8)); /* clear this memory */
memset(mem1,0,MR_ECP_RESERVE(2)); /* ~668 bytes in all */
#endif
/* Initialise bigs */
a2=mirvar_mem(_MIPP_ mem,0);
a6=mirvar_mem(_MIPP_ mem,1);
bx=mirvar_mem(_MIPP_ mem,2);
for (i=0;i<4;i++)
res[i]=mirvar_mem(_MIPP_ mem,3+i);
r=mirvar_mem(_MIPP_ mem,7);
/* printf("ROM size= %d\n",sizeof(rom)+sizeof(prom)); */
#ifndef MR_NO_STANDARD_IO
#ifdef MR_STATIC
printf("n Bigs require n*%d+%d bytes\n",MR_SIZE,MR_SL);
printf("n Points require n*%d+%d bytes\n",MR_ESIZE,MR_SL);
printf("sizeof(miracl)= %d\n",sizeof(miracl));
#endif
#endif
/* Initialise Elliptic curve points */
P=epoint_init_mem(_MIPP_ mem1,0);
Q=epoint_init_mem(_MIPP_ mem1,1);
/* Initialise supersingular curve */
convert(_MIPP_ 1,a2);
convert(_MIPP_ B,a6);
/* The -M tells MIRACL that this is a supersingular curve */
if (!ecurve2_init(_MIPP_ -M,T,U,V,a2,a6,FALSE,MR_PROJECTIVE))
{
#ifndef MR_NO_STANDARD_IO
printf("Problem with the curve\n");
#endif
return 0;
}
/* Get P and Q from ROM */
/* These should have been multiplied by the cofactor 487805 = 5*97561 */
/* 487805 is a cofactor of the group order 2^271+2^136+1 */
romptr=0;
init_point_from_rom(P,WORDS,rom,ROMSZ,&romptr);
init_point_from_rom(Q,WORDS,rom,ROMSZ,&romptr);
#ifndef MR_NO_STANDARD_IO
printf( "P= \n");
otnum(_MIPP_ P->X,stdout);
otnum(_MIPP_ P->Y,stdout);
printf( "Q= \n");
otnum(_MIPP_ Q->X,stdout);
otnum(_MIPP_ Q->Y,stdout);
#endif
bigbits(_MIPP_ 160,r);
/* Simple bilinearity test */
tate(_MIPP_ P,Q,res);
/* this could break the 4k stack, 2060+668+2996 >4K */
/* so we cannot afford much precomputation in power4 */
power4(_MIPP_ res,r,res); /* res=res^{sr} */
#ifndef MR_NO_STANDARD_IO
printf( "\ne(P,Q)^r= \n");
for (i=0;i<4;i++)
{
otnum(_MIPP_ res[i],stdout);
zero(res[i]);
}
#endif
ecurve2_mult(_MIPP_ r,Q,Q); /* Q=rQ */
epoint2_norm(_MIPP_ Q);
tate(_MIPP_ P,Q,res); /* Now invert is taken out of Tate, and the stack should be OK */
#ifndef MR_NO_STANDARD_IO
printf( "\ne(P,rQ)= \n");
for (i=0;i<4;i++)
otnum(_MIPP_ res[i],stdout);
#endif
/* all done */
#ifndef MR_STATIC
memkill(_MIPP_ mem,8);
ecp_memkill(_MIPP_ mem1,2);
#else
memset(mem,0,MR_BIG_RESERVE(8)); /* clear this stack memory */
memset(mem1,0,MR_ECP_RESERVE(2));
#endif
mirexit(_MIPPO_ ); /* clears workspace memory */
return 0;
}
