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