#include #include "num.h" #include "field.h" #include "group.h" #include "ecmult.h" #include "ecdsa.h" using namespace secp256k1; void test_ecmult() { Context ctx; FieldElem ax; ax.SetHex("8b30bbe9ae2a990696b22f670709dff3727fd8bc04d3362c6c7bf458e2846004"); FieldElem ay; ay.SetHex("a357ae915c4a65281309edf20504740f0eb3343990216b4f81063cb65f2f7e0f"); GroupElemJac a(ax,ay); Number xn(ctx); xn.SetHex("84cc5452f7fde1edb4d38a8ce9b1b84ccef31f146e569be9705d357a42985407"); Number gn(ctx); gn.SetHex("a1e58d22553dcd42b23980625d4c57a96e9323d42b3152e5ca2c3990edc7c9de"); Number xf(ctx); xf.SetHex("1337"); Number gf(ctx); gf.SetHex("7113"); Number ae(ctx); ae.SetHex("01"); Number ge(ctx); ge.SetHex("00"); GroupElemJac x = a; const Number &order = GetGroupConst().order; for (int i=0; i<1000; i++) { // in each iteration, compute X = xn*X + gn*G; ECMult(ctx, x, x, xn, gn); // also compute ae and ge: the actual accumulated factors for A and G // if X was (ae*A+ge*G), xn*X + gn*G results in (xn*ae*A + (xn*ge+gn)*G) ae.SetModMul(ctx, ae, xn, order); ge.SetModMul(ctx, ge, xn, order); ge.SetAdd(ctx, ge, gn); ge.SetMod(ctx, ge, order); // modify xn and gn xn.SetModMul(ctx, xn, xf, order); gn.SetModMul(ctx, gn, gf, order); } std::string res = x.ToString(); assert(res == "(D37F97BBF58B4ECA238329D272C9AF0194F062B851EDF9B40F2294FA00BBFCA2,B127748E9A9F347257051588D44A1B822CA731833B2653AA3646C59A8ADAF295)"); // redo the computation, but directly with the resulting ae and ge coefficients: GroupElemJac x2; ECMult(ctx, x2, a, ae, ge); std::string res2 = x2.ToString(); printf("res=%s res2=%s\n", res.c_str(), res2.c_str()); assert(res == res2); } int main(void) { test_ecmult(); return 0; }