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trezor-firmware/tools/mksecptable.c

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#include <stdio.h>
#include <assert.h>
#include "bignum.h"
#include "ecdsa.h"
#include "secp256k1.h"
#include "rand.h"
/*
* This program prints the contents of the secp256k1_cp array.
* The entry secp256k1_cp[i][j] contains the number (2*j+1)*16^i*G,
* where G is the generator of secp256k1.
*/
int main(int __attribute__((unused)) argc, char __attribute__((unused)) **argv) {
int i,j,k;
curve_point ng = G256k1;
curve_point pow2ig = G256k1;
#ifndef NDEBUG
init_rand(); // needed for point_multiply()
#endif
for (i = 0; i < 64; i++) {
// invariants:
// pow2ig = 16^i * G
// ng = pow2ig
printf("\t{\n");
for (j = 0; j < 8; j++) {
// invariants:
// pow2ig = 16^i * G
// ng = (2*j+1) * 16^i * G
#ifndef NDEBUG
curve_point checkresult;
bignum256 a;
bn_zero(&a);
a.val[(4*i) / 30] = ((uint32_t) 2*j+1) << ((4*i) % 30);
bn_normalize(&a);
point_multiply(&a, &G256k1, &checkresult);
assert(point_is_equal(&checkresult, &ng));
#endif
printf("\t\t/* %2d*16^%d*G: */\n\t\t{{{", 2*j + 1, i);
// print x coordinate
for (k = 0; k < 9; k++) {
printf((k < 8 ? "0x%08x, " : "0x%04x"), ng.x.val[k]);
}
printf("}},\n\t\t {{");
// print y coordinate
for (k = 0; k < 9; k++) {
printf((k < 8 ? "0x%08x, " : "0x%04x"), ng.y.val[k]);
}
if (j == 7) {
printf("}}}\n\t},\n");
} else {
printf("}}},\n");
point_add(&pow2ig, &ng);
}
point_add(&pow2ig, &ng);
}
pow2ig = ng;
}
return 0;
}