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- #include "ge.h"
- #include "crypto_uint32.h"
- static unsigned char equal(signed char b,signed char c)
- {
- unsigned char ub = b;
- unsigned char uc = c;
- unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */
- crypto_uint32 y = x; /* 0: yes; 1..255: no */
- y -= 1; /* 4294967295: yes; 0..254: no */
- y >>= 31; /* 1: yes; 0: no */
- return y;
- }
- static unsigned char negative(signed char b)
- {
- unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
- x >>= 63; /* 1: yes; 0: no */
- return x;
- }
- static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b)
- {
- fe_cmov(t->yplusx,u->yplusx,b);
- fe_cmov(t->yminusx,u->yminusx,b);
- fe_cmov(t->xy2d,u->xy2d,b);
- }
- /* base[i][j] = (j+1)*256^i*B */
- static ge_precomp base[32][8] = {
- #include "base.h"
- } ;
- static void select(ge_precomp *t,int pos,signed char b)
- {
- ge_precomp minust;
- unsigned char bnegative = negative(b);
- unsigned char babs = b - (((-bnegative) & b) << 1);
- ge_precomp_0(t);
- cmov(t,&base[pos][0],equal(babs,1));
- cmov(t,&base[pos][1],equal(babs,2));
- cmov(t,&base[pos][2],equal(babs,3));
- cmov(t,&base[pos][3],equal(babs,4));
- cmov(t,&base[pos][4],equal(babs,5));
- cmov(t,&base[pos][5],equal(babs,6));
- cmov(t,&base[pos][6],equal(babs,7));
- cmov(t,&base[pos][7],equal(babs,8));
- fe_copy(minust.yplusx,t->yminusx);
- fe_copy(minust.yminusx,t->yplusx);
- fe_neg(minust.xy2d,t->xy2d);
- cmov(t,&minust,bnegative);
- }
- /*
- h = a * B
- where a = a[0]+256*a[1]+...+256^31 a[31]
- B is the Ed25519 base point (x,4/5) with x positive.
- Preconditions:
- a[31] <= 127
- */
- void ge_scalarmult_base(ge_p3 *h,const unsigned char *a)
- {
- signed char e[64];
- signed char carry;
- ge_p1p1 r;
- ge_p2 s;
- ge_precomp t;
- int i;
- for (i = 0;i < 32;++i) {
- e[2 * i + 0] = (a[i] >> 0) & 15;
- e[2 * i + 1] = (a[i] >> 4) & 15;
- }
- /* each e[i] is between 0 and 15 */
- /* e[63] is between 0 and 7 */
- carry = 0;
- for (i = 0;i < 63;++i) {
- e[i] += carry;
- carry = e[i] + 8;
- carry >>= 4;
- e[i] -= carry << 4;
- }
- e[63] += carry;
- /* each e[i] is between -8 and 8 */
- ge_p3_0(h);
- for (i = 1;i < 64;i += 2) {
- select(&t,i / 2,e[i]);
- ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r);
- }
- ge_p3_dbl(&r,h); ge_p1p1_to_p2(&s,&r);
- ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
- ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
- ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r);
- for (i = 0;i < 64;i += 2) {
- select(&t,i / 2,e[i]);
- ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r);
- }
- }
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