#include <Arduino.h>
#include <avr/io.h>
#include <stdlib.h>
// Define constants and function prototypes
#define fe25519_add avrnacl_fe25519_add
#define fe25519_sub avrnacl_fe25519_sub
#define fe25519_red avrnacl_fe25519_red
typedef struct {unsigned char v[32];} fe25519;
extern "C"
{
void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y);
void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y);
void fe25519_red(fe25519 *r, unsigned char *C);
char bigint_subp(unsigned char* r, const unsigned char* a);
char bigint_square256(unsigned char* r, const unsigned char* a);
char bigint_mul256(unsigned char* r, const unsigned char* a, const unsigned char* b);
void bigint_mul121666(unsigned char *r, const unsigned char *x);
}
void fe25519_freeze(fe25519 *r);
void fe25519_unpack(fe25519 *r, const unsigned char x[32]);
void fe25519_pack(unsigned char r[32], const fe25519 *x);
void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b);
void fe25519_setone(fe25519 *r);
void fe25519_setzero(fe25519 *r);
void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y);
void fe25519_square(fe25519 *r, const fe25519 *x);
void fe25519_invert(fe25519 *r, const fe25519 *x);
void work_cswap(fe25519 *work, char b);
void mladder(fe25519 *xr, fe25519 *zr, const unsigned char s[32]);
void fe25519_mul121666(fe25519 *r, const fe25519 *x);
static const fe25519 _121666 = {{0x42, 0xDB, 0x01, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}};
void fe25519_setzero(fe25519 *r) {
for (int i = 0; i < 32; i++) {
r->v[i] = 0;
}
}
void fe25519_setone(fe25519 *r) {
r->v[0] = 1;
for (int i = 1; i < 32; i++) {
r->v[i] = 0;
}
}
void fe25519_freeze(fe25519 *r) {
unsigned char c;
fe25519 rt;
c = bigint_subp(rt.v, r->v);
fe25519_cmov(r, &rt, 1 - c);
c = bigint_subp(rt.v, r->v);
fe25519_cmov(r, &rt, 1 - c);
}
void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b) {
unsigned long mask = -b;
for (int i = 0; i < 32; i++) {
r->v[i] ^= mask & (x->v[i] ^ r->v[i]);
}
}
void fe25519_pack(unsigned char r[32], const fe25519 *x) {
fe25519 y = *x;
fe25519_freeze(&y);
for (int i = 0; i < 32; i++) {
r[i] = y.v[i];
}
}
void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y) {
unsigned char t[64] = {0x00};
for (long e = 0; e<500000; e++)
{
asm("");
}
bigint_mul256(t, x->v, y->v);
for (long e = 0; e<500000; e++)
{
asm("");
}
print_fe25519_64("xq_64", t);
fe25519_red(r, t);
fe25519_freeze(r);
}
void fe25519_square(fe25519 *r, const fe25519 *x) {
unsigned char t[64] = {0x00};
for (long e = 0; e<500000; e++)
{
asm("");
}
bigint_square256(t, x->v);
print_fe25519_64("zq_64 inside the (fe25519_square) function: ", t);
for (long e = 0; e<500000; e++)
{
asm("");
}
fe25519_red(r, t);
print_fe25519("r ", r);
fe25519_freeze(r);
print_fe25519("r ", r);
}
void fe25519_mul121666(fe25519 *r, const fe25519 *x) {
unsigned char t[64];
bigint_mul121666(t, x->v);
fe25519_red(r, t);
fe25519_freeze(r);
}
void print_fe25519(const char* name, const fe25519 *f) {
Serial.print(name);
Serial.print(": ");
for (int i = 0; i < 32; i++) {
Serial.print(f->v[i], HEX);
Serial.print(" ");
}
Serial.println();
}
void print_fe25519_64(const char* name, const fe25519 *f)
{
Serial.print(name);
Serial.print(": ");
for (int i = 0; i < 64; i++)
{
Serial.print(f->v[i], HEX);
Serial.print(" ");
}
Serial.println();
}
void print_fe25519_64(const char* name, const unsigned char *f)
{
Serial.print(name);
Serial.print(": ");
for (int i = 0; i < 64; i++)
{
Serial.print(*(f + i), HEX);
Serial.print(" ");
}
Serial.println();
}
void ladderstep(fe25519 *work) {
fe25519 t1, t2;
fe25519_setzero(&t1);
fe25519_setzero(&t2);
fe25519 *x0 = &work[0];
fe25519 *xp = &work[1];
fe25519 *zp = &work[2];
fe25519 *xq = &work[3];
fe25519 *zq = &work[4];
Serial.println(" --------------- Initialization: ");
print_fe25519("t1", &t1);
print_fe25519("t2", &t2);
print_fe25519("x0", x0);
print_fe25519("xp", xp);
print_fe25519("zp", zp);
print_fe25519("xq", xq);
print_fe25519("zq", zq);
// 1. t1 = xq + zq
Serial.println(" ---------------> // 1. t1 = xq + zq ");
print_fe25519("t1", &t1);
print_fe25519("xq", xq);
print_fe25519("zq", zq);
fe25519_add(&t1, xq, zq);
fe25519_freeze(&t1);
print_fe25519("t1", &t1);
// 2. xq = xq - zq
Serial.println(" ---------------> // 2. xq = xq - zq ");
print_fe25519("xq", xq);
print_fe25519("zq", zq);
fe25519_sub(xq, xq, zq);
fe25519_freeze(xq);
print_fe25519("xq", xq);
// 3. zq = xp + zp
Serial.println(" ---------------> // 3. zq = xp + zp ");
print_fe25519("xp", xp);
print_fe25519("zp", zp);
print_fe25519("The result zq", zq);
/*for (long e = 0; e<500000; e++)
{
asm("");
}*/
fe25519_add(zq, xp, zp);
for (long e = 0; e<500000; e++)
{
asm("");
}
print_fe25519("zq before Freeze", zq);
fe25519_freeze(zq);
print_fe25519("zq after Freeze", zq);
// 4. xp = xp - zp
Serial.println(" ---------------> // 4. xp = xp - zp ");
print_fe25519("xp", xp);
print_fe25519("zp", zp);
for (long e = 0; e<500000; e++)
{
asm("");
}
fe25519_sub(xp, xp, zp);
fe25519_freeze(xp);
print_fe25519("xp", xp);
// 5. t1 = t1 * xp
Serial.println(" ---------------> // 5. t1 = t1 * xp");
print_fe25519("xp", xp);
print_fe25519("t1", &t1);
for (long e = 0; e<500000; e++)
{
asm("");
}
fe25519_mul(&t1, &t1, xp);
print_fe25519_64("t1_64", &t1);
fe25519_freeze(&t1);
print_fe25519("t1", &t1);
// 6. xq = xq * zq
Serial.println(" ---------------> // 6. xq = xq * zq");
print_fe25519("xq", xq);
print_fe25519("zq", zq);
for (long e = 0; e<500000; e++)
{
asm("");
}
fe25519_mul(xq, xq, zq);
fe25519_freeze(xq);
print_fe25519("xq", xq);
// 7. zq = zq^2
Serial.println(" ---------------> // 7. zq = zq^2");
print_fe25519("zq", zq);
for (long e = 0; e<500000; e++)
{
asm("");
}
fe25519_square(zq, zq);
fe25519_freeze(zq);
print_fe25519("zq", zq);
// 8. xp = xp^2
Serial.println(" ---------------> // 8. xp = xp^2");
print_fe25519("xp", xp);
fe25519_square(xp, xp);
print_fe25519_64("xp_64", xp);
fe25519_freeze(xp);
print_fe25519("xp", xp);
// 9. t2 = zq - xp
Serial.println(" ---------------> // 9. t2 = zq - xp");
print_fe25519("xp", xp);
print_fe25519("zq", zq);
print_fe25519("t2", &t2);
fe25519_sub(&t2, zq, xp);
fe25519_freeze(&t2);
print_fe25519("Result _ t2", &t2);
// 10. zp = 121666 * t2
Serial.println(" ---------------> // 10. zp = 121666 * t2");
print_fe25519("t2", &t2);
fe25519_mul121666(zp, &t2);
print_fe25519_64("zp_64", zp);
fe25519_freeze(zp);
print_fe25519("zp", zp);
// 11. zp = zp + xp
Serial.println(" ---------------> // 11. zp = zp + xp");
print_fe25519("zp", zp);
print_fe25519("xp", xp);
fe25519_add(zp, zp, xp);
fe25519_freeze(zp);
print_fe25519("zp", zp);
// 12. zp = zp * t2
Serial.println(" ---------------> // 12. zp = zp * t2");
print_fe25519("t2", &t2);
print_fe25519("zp", zp);
fe25519_mul(zp, zp, &t2);
print_fe25519_64("zp_64", zp);
fe25519_freeze(zp);
print_fe25519("zp", zp);
// 13. xp = zq * xp
Serial.println(" ---------------> // 13. xp = zq * xp");
print_fe25519("zq", zq);
print_fe25519("xp", xp);
fe25519_mul(xp, zq, xp);
print_fe25519_64("xp_64", xp);
fe25519_freeze(xp);
print_fe25519("xp", xp);
// 14. zq = xq - t1
Serial.println(" ---------------> // 14. zq = xq - t1");
print_fe25519("t1", &t1);
print_fe25519("xq", xq);
/*for (long e = 0; e<500000; e++)
{
asm("");
}*/
fe25519_sub(zq, xq, &t1);
/*for (long e = 0; e<500000; e++)
{
asm("");
}*/
print_fe25519("zq before freeze", zq);
/*for (long e = 0; e<500000; e++)
{
asm("");
}*/
fe25519_freeze(zq);
for (long e = 0; e<500000; e++)
{
asm("");
}
print_fe25519("zq after freeze", zq);
// 15. zq = zq^2
Serial.println(" ---------------> // 15. zq = zq^2");
print_fe25519("zq", zq);
for (long e = 0; e<500000; e++)
{
asm("");
}
fe25519_square(zq, zq);
fe25519_freeze(zq);
print_fe25519("zq", zq);
// 16. zq = zq * x0
Serial.println(" ---------------> // 16. zq = zq * x0");
print_fe25519("x0", x0);
print_fe25519("zq", zq);
/*for (long e = 0; e<500000; e++)
{
asm("");
}*/
fe25519_mul(zq, zq, x0);
print_fe25519_64("zq_64", zq);
fe25519_freeze(zq);
print_fe25519("zq", zq);
// 17. xq = t1 + xq
Serial.println(" ---------------> // 17. xq = t1 + xq");
print_fe25519("t1 = ", &t1);
print_fe25519("xq = ", xq);
/*for (long e = 0; e<500000; e++)
{
asm("");
}*/
fe25519_add(xq, &t1, xq);
for (long e = 0; e<500000; e++)
{
asm("");
}
print_fe25519("xq before freeze = ", xq);
fe25519_freeze(xq);
print_fe25519("xq after freeze = ", xq);
// 18. xq = xq^2
Serial.println(" ---------------> // 18. xq = xq^2");
print_fe25519("xq", xq);
fe25519_square(xq, xq);
print_fe25519_64("xq_64", xq);
fe25519_freeze(xq);
print_fe25519("xq", xq);
for (long e = 0; e<1000000; e++)
{
asm("");
}
// Print final values
Serial.println(" ---------------> // Print final values");
print_fe25519("x0", x0);
print_fe25519("xp", xp);
print_fe25519("zp", zp);
print_fe25519("xq", xq);
print_fe25519("zq", zq);
}
void setup()
{
Serial.begin(9600);
fe25519 work[5] = {
{{0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, // x0
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0xF8, 0xD0, 0x7B, 0x22, 0x44, 0x58, 0xEF, 0xA0, 0x76, 0x1C, 0xF0, 0xB2, 0xE8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, // xp
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x90, 0x35, 0xC0, 0x08, 0x02, 0x8D, 0x55, 0x9A, 0x3D, 0x17, 0x67, 0x85, 0x06, 0x20, 0x97, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, // zp
{{0x00, 0x00, 0x00, 0x00, 0x00, 0x99, 0x1A, 0xF4, 0x14, 0xCD, 0x94, 0xA4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, // xq
{{0x00, 0x00, 0x00, 0x00, 0x20, 0x57, 0xE3, 0x87, 0x6A, 0x01, 0xAF, 0x7B, 0xDF, 0x3D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}} // zq
};
ladderstep(work);
}
void loop() {
// Empty loop
}