#include "fe25519.h" #include "sc25519.h" #include "ge25519.h" #define S1_SWINDOWSIZE 5 #define PRE1_SIZE (1<<(S1_SWINDOWSIZE-2)) #define S2_SWINDOWSIZE 7 #define PRE2_SIZE (1<<(S2_SWINDOWSIZE-2)) ge25519_niels pre2[PRE2_SIZE] = { #include "ge25519_base_slide_multiples.data" }; static const fe25519 ec2d = {{1859910466990425, 932731440258426, 1072319116312658, 1815898335770999, 633789495995903}}; static void setneutral(ge25519 *r) { fe25519_setint(&r->x,0); fe25519_setint(&r->y,1); fe25519_setint(&r->z,1); fe25519_setint(&r->t,0); } /* computes [s1]p1 + [s2]p2 */ void ge25519_double_scalarmult_vartime(ge25519_p3 *r, const ge25519_p3 *p1, const sc25519 *s1, const sc25519 *s2) { signed char slide1[256], slide2[256]; ge25519_pniels pre1[PRE1_SIZE], neg; ge25519_p3 d1; ge25519_p1p1 t; ge25519_niels nneg; fe25519 d; int i; sc25519_slide(slide1, s1, S1_SWINDOWSIZE); sc25519_slide(slide2, s2, S2_SWINDOWSIZE); /* precomputation */ pre1[0] = *(ge25519_pniels *)p1; ge25519_dbl_p1p1(&t,(ge25519_p2 *)pre1); ge25519_p1p1_to_p3(&d1, &t); /* Convert pre[0] to projective Niels representation */ d = pre1[0].ysubx; fe25519_sub(&pre1[0].ysubx, &pre1[0].xaddy, &pre1[0].ysubx); fe25519_add(&pre1[0].xaddy, &pre1[0].xaddy, &d); fe25519_mul(&pre1[0].t2d, &pre1[0].t2d, &ec2d); for(i=0;i= 0;--i) { if (slide1[i] || slide2[i]) goto firstbit; } for(;i>=0;i--) { firstbit: ge25519_dbl_p1p1(&t, (ge25519_p2 *)r); if(slide1[i]>0) { ge25519_p1p1_to_p3(r, &t); ge25519_pnielsadd_p1p1(&t, r, &pre1[slide1[i]/2]); } else if(slide1[i]<0) { ge25519_p1p1_to_p3(r, &t); neg = pre1[-slide1[i]/2]; d = neg.ysubx; neg.ysubx = neg.xaddy; neg.xaddy = d; fe25519_neg(&neg.t2d, &neg.t2d); ge25519_pnielsadd_p1p1(&t, r, &neg); } if(slide2[i]>0) { ge25519_p1p1_to_p3(r, &t); ge25519_nielsadd_p1p1(&t, r, &pre2[slide2[i]/2]); } else if(slide2[i]<0) { ge25519_p1p1_to_p3(r, &t); nneg = pre2[-slide2[i]/2]; d = nneg.ysubx; nneg.ysubx = nneg.xaddy; nneg.xaddy = d; fe25519_neg(&nneg.t2d, &nneg.t2d); ge25519_nielsadd_p1p1(&t, r, &nneg); } ge25519_p1p1_to_p2((ge25519_p2 *)r, &t); } }