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@ -97,123 +97,6 @@ std::string toHexStr(const G2& P) |
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return toHexStr(xy, 96); |
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return toHexStr(xy, 96); |
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} |
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} |
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/*
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z = sqrt(u/v) = (uv^7) (uv^15)^((p^2-9)/16) * root4 |
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return true if found |
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*/ |
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bool sqr_div(const MapTo& mapto, Fp2& z, const Fp2& u, const Fp2& v) |
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{ |
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Fp2 gamma, t1, t2; |
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Fp2::sqr(gamma, v); // v^2
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Fp2::sqr(t2, gamma); // v^4
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Fp2::mul(t1, u, v); // uv
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t1 *= gamma; // uv^3
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t1 *= t2; // uv^7
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Fp2::sqr(t2, t2); // v^8
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t2 *= t1; |
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Fp2::pow(gamma, t2, mapto.sqrtConst); |
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gamma *= t1; |
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Fp2 candi; |
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for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(mapto.root4); i++) { |
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Fp2::mul(candi, gamma, mapto.root4[i]); |
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Fp2::sqr(t1, candi); |
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t1 *= v; |
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if (t1 == u) { |
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z = candi; |
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return true; |
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} |
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} |
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z = gamma; |
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return false; |
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} |
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// Proj
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void py_ecc_iso_map_G2(const MapTo& mapto, G2& Q, const E2& P) |
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{ |
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Fp2 zpows[3]; |
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zpows[0] = P.z; |
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Fp2::sqr(zpows[1], zpows[0]); |
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Fp2::mul(zpows[2], zpows[1], zpows[0]); |
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Fp2 mapvals[4]; |
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mapto.evalPoly(mapvals[0], P.x, zpows, mapto.xnum); |
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mapto.evalPoly(mapvals[1], P.x, zpows, mapto.xden); |
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mapto.evalPoly(mapvals[2], P.x, zpows, mapto.ynum); |
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mapto.evalPoly(mapvals[3], P.x, zpows, mapto.yden); |
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mapvals[1] *= P.z; |
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mapvals[2] *= P.y; |
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mapvals[3] *= P.z; |
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Fp2::mul(Q.z, mapvals[1], mapvals[3]); |
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Fp2::mul(Q.x, mapvals[0], mapvals[3]); |
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Fp2::mul(Q.y, mapvals[1], mapvals[2]); |
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} |
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// https://github.com/ethereum/py_ecc
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void py_ecc_optimized_swu_G2(const MapTo& mapto, E2& P, const Fp2& t) |
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{ |
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Fp2 t2, t2xi, t2xi2; |
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Fp2::sqr(t2, t); |
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mapto.mul_xi(t2xi, t2); |
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Fp2::sqr(t2xi2, t2xi); |
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Fp2 nume, deno; |
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// (t^2 * xi)^2 + (t^2 * xi)
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Fp2::add(deno, t2xi2, t2xi); |
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Fp2::add(nume, deno, 1); |
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nume *= mapto.g2B; |
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if (deno.isZero()) { |
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mapto.mul_xi(deno, mapto.g2A); |
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} else { |
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deno *= -mapto.g2A; |
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} |
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Fp2 u, v; |
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{ |
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Fp2 deno2, tmp, tmp1, tmp2; |
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Fp2::sqr(deno2, deno); |
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Fp2::mul(v, deno2, deno); |
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Fp2::mul(u, mapto.g2B, v); |
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Fp2::mul(tmp, mapto.g2A, nume); |
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tmp *= deno2; |
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u += tmp; |
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Fp2::sqr(tmp, nume); |
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tmp *= nume; |
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u += tmp; |
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} |
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Fp2 candi; |
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bool success = sqr_div(mapto, candi, u, v); |
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P.y = candi; |
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candi *= t2; |
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candi *= t; |
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u *= t2xi2; |
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u *= t2xi; |
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bool success2 = false; |
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for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(mapto.etas); i++) { |
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Fp2 t1; |
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Fp2::mul(t1, mapto.etas[i], candi); |
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Fp2::sqr(t2, t1); |
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t2 *= v; |
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if (t2 == u && !success && !success2) { |
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P.y = t1; |
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success2 = true; |
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} |
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} |
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assert(success || success2); |
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if (!success) { |
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nume *= t2xi; |
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} |
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if (mapto.isNegSign(t) != mapto.isNegSign(P.y)) { |
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Fp2::neg(P.y, P.y); |
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} |
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P.y *= deno; |
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P.x = nume; |
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P.z = deno; |
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} |
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// Proj
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void py_ecc_map_to_curve_G2(const MapTo& mapto, G2& out, const Fp2& t) |
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{ |
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E2 P; |
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py_ecc_optimized_swu_G2(mapto, P, t); |
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py_ecc_iso_map_G2(mapto, out, P); |
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} |
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/*
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/*
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in : Proj [X:Y:Z] |
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in : Proj [X:Y:Z] |
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out : Jacobi [A:B:C] |
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out : Jacobi [A:B:C] |
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@ -231,50 +114,6 @@ void toJacobi(G2& out, const G2& in) |
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out.z = in.z; |
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out.z = in.z; |
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} |
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} |
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void py_ecc_hash_to_G2(const MapTo& mapto, G2& out, const void *msg, size_t msgSize, const void *dst, size_t dstSize) |
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{ |
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Fp2 t1, t2; |
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hashToFp2old(t1, msg, msgSize, 0, dst, dstSize); |
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hashToFp2old(t2, msg, msgSize, 1, dst, dstSize); |
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G2 P1, P2; |
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py_ecc_map_to_curve_G2(mapto, P1, t1); |
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py_ecc_map_to_curve_G2(mapto, P2, t2); |
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toJacobi(P1, P1); |
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toJacobi(P2, P2); |
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P1 += P2; |
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mapto.clear_h2(out, P1); |
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} |
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void ethMsgToG2test(const std::string& fileName) |
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{ |
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const char *dst = "\x02"; |
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printf("name=%s\n", fileName.c_str()); |
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std::ifstream ifs(fileName.c_str()); |
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Uint8Vec buf; |
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G2 out; |
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for (;;) { |
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std::string msg, zero, ret; |
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ifs >> msg >> zero >> ret; |
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if (zero != "00") break; |
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buf = fromHexStr(msg); |
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ethMsgToG2(out, buf.data(), buf.size(), dst, strlen(dst)); |
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std::string s = toHexStr(out); |
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CYBOZU_TEST_EQUAL(s, ret); |
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} |
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} |
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void ethMsgToG2testAll(const std::string& dir) |
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try |
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{ |
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cybozu::FileList list = cybozu::GetFileList(dir); |
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for (size_t i = 0; i < list.size(); i++) { |
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const cybozu::FileInfo& info = list[i]; |
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ethMsgToG2test(dir + "/" + info.name); |
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} |
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} catch (...) { |
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printf("skip test because `%s` is not found\n", dir.c_str()); |
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} |
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void testHMAC() |
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void testHMAC() |
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{ |
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{ |
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const char *key = "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b"; |
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const char *key = "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b"; |
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@ -286,254 +125,6 @@ void testHMAC() |
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CYBOZU_TEST_EQUAL(out, expect); |
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CYBOZU_TEST_EQUAL(out, expect); |
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} |
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} |
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void testHashToFp2() |
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{ |
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const char *msg = "the message to be signed"; |
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const char *dst = "\x02"; |
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const char *outS = "0xe54bc0f2e26071a79ba5fe7ae5307d39cf5519e581e03b43f39a431eccc258fa1477c517b1268b22986601ee5caa5ea 0x17e8397d5e687ff7f915c23f27fe1ca2c397a7df91de8c88dc82d34c9188a3ef719f9f20436ea8a5fe7d509fbc79214d"; |
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Fp2 out, ok; |
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ok.setStr(outS); |
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ethMsgToFp2(out, msg, strlen(msg), 0, dst, strlen(dst)); |
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CYBOZU_TEST_EQUAL(out, ok); |
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} |
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void ethMsgToG2test() |
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{ |
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const char *msg = "the message to be signed"; |
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const char *dst = "\x02"; |
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const PointStr outS = { |
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{ |
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"0x29670bca15e948605ae32ac737b719f926bc8cb99e980bf0542cada47f71a9f299f4d8c332776da38c8768ea719911", |
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"0x111b35c14e065f0af7bb2697cba31bd21f629c0d42f75411340ae608df3bc2572b746935a788caa6ef10014ee02a0bf0", |
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}, |
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{ |
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"0xe99fd88ee5bd8272483b498245a59b34a22d4820cdd564fc044510210e6d8da62752ac467dac6421b330b2f62385305", |
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"0x199c95bcff2d9ae3486d12892740a35904deddc63d33d1080d498fbe1ce468a8efeb9d62e183c71f0a3bf58422e2f1a2", |
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}, |
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{ |
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"0x147428ea49f35d9864bfc6685e0651f340f1201082c9dce4b99c72d45bf2d4deda4dcb151cefdfd1dd224c8bb85c8a71", |
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"0x7a14a1a0a8a27423e5d912879fec8054ae95f035642e3806fa514b9f1dbbb2bc1144dac067c52305e60e8bc421ad5b4", |
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}, |
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}; |
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G2 out, ok; |
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set(ok, outS); |
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ethMsgToG2(out, msg, strlen(msg), dst, strlen(dst)); |
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CYBOZU_TEST_EQUAL(out, ok); |
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} |
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template<class T> |
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void py_eccTest(const T& mapto) |
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{ |
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/*
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testHashToBaseFP2 |
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https://github.com/status-im/nim-blscurve/blob/de64516a5933a6e8ebb01a346430e61a201b5775/blscurve/hash_to_curve.nim#L492
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*/ |
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{ |
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const char *msg = "msg"; |
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|
|
uint8_t ctr = 0; |
|
|
|
|
|
|
|
const char *dst = "BLS_SIG_BLS12381G2-SHA256-SSWU-RO_POP_"; |
|
|
|
|
|
|
|
const char *expect = "18df4dc51885b18ca0082a4966b0def46287930b8f1c0b673b11ac48d19c8899bc150d83fd3a7a1430b0de541742c1d4 14eef8ca34b82d065d187a3904cb313dbb44558917cc5091574d9999b5ecfdd5af2fa3aea6e02fb253bf4ae670e72d55"; |
|
|
|
|
|
|
|
Fp2 x; |
|
|
|
|
|
|
|
ethMsgToFp2(x, msg, strlen(msg), ctr, dst, strlen(dst)); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(toHexStr(x), expect); |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
const Fp2Str u0s = { |
|
|
|
|
|
|
|
"0x004ad233c619209060e40059b81e4c1f92796b05aa1bc6358d65e53dc0d657dfbc713d4030b0b6d9234a6634fd1944e7", |
|
|
|
|
|
|
|
"0x0e2386c82713441bc3b06a460bd81850f4bf376ea89c80b18c0881e855c58dc8e83b2fd23af983f4786508e30c42af01", |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
const Fp2Str u1s = { |
|
|
|
|
|
|
|
"0x08a6a75e0a8d32f1e096f29047ea879dd34a5504218d7ce92c32c244786822fb73fbf708d167ad86537468249ec6df48", |
|
|
|
|
|
|
|
"0x07016d0e5e13cd65780042c6f7b4c74ae1c58da438c99582696818b5c229895b893318dcb87d2a65e557d4ebeb408b70", |
|
|
|
|
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|
|
}; |
|
|
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|
|
// return value of opt_swu2_map in bls_sigs_ref/python-impl/opt_swu_g2.py
|
|
|
|
|
|
|
|
const Fp2Str xs = { |
|
|
|
|
|
|
|
"0x4861c41efcc5fc56e62273692b48da25d950d2a0aaffb34eff80e8dbdc2d41ca38555ceb8554368436aea47d16056b5", |
|
|
|
|
|
|
|
"0x9db5217528c55d982cf05fc54242bdcd25f1ebb73372e00e16d8e0f19dc3aeabdeef2d42d693405a04c37d60961526a", |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
const Fp2Str ys = { |
|
|
|
|
|
|
|
"0x177d05b95e7879a7ddbd83c15114b5a4e9846fde72b2263072dc9e60db548ccbadaacb92cc4952d4f47425fe3c5e0172", |
|
|
|
|
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|
|
"0xfc82c99b928ed9df12a74f9215c3df8ae1e9a3fa54c00897889296890b23a0edcbb9653f9170bf715f882b35c0b4647", |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
Fp2 u0, u1, x, y; |
|
|
|
|
|
|
|
set(u0, u0s); |
|
|
|
|
|
|
|
set(u1, u1s); |
|
|
|
|
|
|
|
set(x, xs); |
|
|
|
|
|
|
|
set(y, ys); |
|
|
|
|
|
|
|
G2 P; |
|
|
|
|
|
|
|
ethFp2ToG2(P, u0, &u1); |
|
|
|
|
|
|
|
P.normalize(); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P.x, x); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P.y, y); |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
// https://media.githubusercontent.com/media/ethereum/eth2.0-spec-tests/v0.10.1/tests/general/phase0/bls/sign/small/sign_case_11b8c7cad5238946/data.yaml
|
|
|
|
|
|
|
|
const char *secs = "47b8192d77bf871b62e87859d653922725724a5c031afeabc60bcef5ff665138"; |
|
|
|
|
|
|
|
const char msg[33] = {}; |
|
|
|
|
|
|
|
const PointStr sigs = { |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"2293012529822761631014706649736058250445440108079005633865844964288531978383212702502746862140143627562812967825888", |
|
|
|
|
|
|
|
"1475696770777687381853347234154288535008294218073605500048435508284141334771039537063168112498702685312150787094910", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"1469299105114671507318396580458717074245984116935623233990667855919962974356517750849608590897738614199799891365360", |
|
|
|
|
|
|
|
"2030012464923141446228430710552804525466499055365665031199510204412192520245701820596000835423160058948948207746066", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"3767430478723640173773019527754919617225964135305264831468522226308636862085707682484234512649553124965049251340541", |
|
|
|
|
|
|
|
"1620434249170283311052688271749383011546709139865619017626863134580828776106815964830529695055765742705622363756158", |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
const char *expect = "b2deb7c656c86cb18c43dae94b21b107595486438e0b906f3bdb29fa316d0fc3cab1fc04c6ec9879c773849f2564d39317bfa948b4a35fc8509beafd3a2575c25c077ba8bca4df06cb547fe7ca3b107d49794b7132ef3b5493a6ffb2aad2a441"; |
|
|
|
|
|
|
|
Fr sec; |
|
|
|
|
|
|
|
sec.setStr(secs, 16); |
|
|
|
|
|
|
|
G2 P1, P2, Q; |
|
|
|
|
|
|
|
set(Q, sigs); |
|
|
|
|
|
|
|
Q.deserializeHexStr(expect); |
|
|
|
|
|
|
|
const char *dst = "BLS_SIG_BLS12381G2-SHA256-SSWU-RO-_POP_"; |
|
|
|
|
|
|
|
const size_t dstSize = strlen(dst); |
|
|
|
|
|
|
|
const size_t msgSize = 32; |
|
|
|
|
|
|
|
Fp2 t1, t2; |
|
|
|
|
|
|
|
ethMsgToFp2(t1, msg, msgSize, 0, dst, dstSize); |
|
|
|
|
|
|
|
ethMsgToFp2(t2, msg, msgSize, 1, dst, dstSize); |
|
|
|
|
|
|
|
py_ecc_map_to_curve_G2(mapto, P1, t1); |
|
|
|
|
|
|
|
py_ecc_map_to_curve_G2(mapto, P2, t2); |
|
|
|
|
|
|
|
const PointStr ss = { |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"1972340536407012813644167184956896760015950618902823780657111692209122974250648595689834944711427684709284318183285", |
|
|
|
|
|
|
|
"2952312506825835541808570850755873891927945826649651965587037814445801597710562388482713867284483531575836668891717", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"2802951456840474233717338518518040462806475389210379447165158098937491293557221993219251045678976553989024259770721", |
|
|
|
|
|
|
|
"2695848095528813794114709219550802586214789808214026789183854152760661360110019071654047951530688159586363471282307", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"1480478729322062079370070638002133449414477155913782123147952976030053267833796311564176542916706247537348236105579", |
|
|
|
|
|
|
|
"3253481872910728113595595353980041952789112074899014850028493351493155577726278005524067083458491999010934020984031", |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
toJacobi(P1, P1); |
|
|
|
|
|
|
|
toJacobi(P2, P2); |
|
|
|
|
|
|
|
P1 += P2; |
|
|
|
|
|
|
|
G2 P11; |
|
|
|
|
|
|
|
set(P11, ss); |
|
|
|
|
|
|
|
toJacobi(P11, P11); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P1, P11); |
|
|
|
|
|
|
|
const PointStr clears = { |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"1957332172874233660214089655571851577083897125827848734477574606688306573833007308344920242234605652569670194263389", |
|
|
|
|
|
|
|
"1116411061540418343539740639798030171984762250397980084002067231825141620343376868772345493606425790045780405764984", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"1009600579479639236035097803661439342927513547544039095581093451111718225564873663970283187908867141796447259993680", |
|
|
|
|
|
|
|
"1036550257360332982249682819433119008785814033355112815293516573225867246356464383591412294871954385805192773093413", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"1455356692682887406712747484663891805342757123109829795478648571883713143907445859929832639473694165616164972254859", |
|
|
|
|
|
|
|
"625703068888812559481386371501827420717093467297957594257224036896125014497486535098535016737064365426613580045089", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
set(P11, clears); |
|
|
|
|
|
|
|
mapto.clear_h2(P1, P1); |
|
|
|
|
|
|
|
toJacobi(P11, P11); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P1, P11); |
|
|
|
|
|
|
|
py_ecc_hash_to_G2(mapto, P1, msg, msgSize, dst, dstSize); |
|
|
|
|
|
|
|
CYBOZU_BENCH_C("py_ecc_hash_to_G2", 1000, py_ecc_hash_to_G2, mapto, P1, msg, msgSize, dst, dstSize); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P1, P11); |
|
|
|
|
|
|
|
ethMsgToG2(P1, msg, msgSize, dst, dstSize); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P1, P11); |
|
|
|
|
|
|
|
set(P11, sigs); |
|
|
|
|
|
|
|
toJacobi(P11, P11); |
|
|
|
|
|
|
|
P1 *= sec; |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P1, P11); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P1.serializeToHexStr(), expect); |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
template<class T> |
|
|
|
|
|
|
|
void testSign(const T& mapto) |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
Fp H = -1; |
|
|
|
|
|
|
|
H /= 2; |
|
|
|
|
|
|
|
const size_t N = 4; |
|
|
|
|
|
|
|
const Fp tbl[N] = { 0, 1, H, H + 1 }; |
|
|
|
|
|
|
|
const int expect[N][N] = { |
|
|
|
|
|
|
|
{ 1, 1, 1, -1 }, |
|
|
|
|
|
|
|
{ 1, 1, 1, -1 }, |
|
|
|
|
|
|
|
{ 1, 1, 1, -1 }, |
|
|
|
|
|
|
|
{ -1, 1, 1, -1 }, |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
Fp2 t; |
|
|
|
|
|
|
|
for (size_t i = 0; i < N; i++) { |
|
|
|
|
|
|
|
t.a = tbl[i]; |
|
|
|
|
|
|
|
for (size_t j = 0; j < N; j++) { |
|
|
|
|
|
|
|
t.b = tbl[j]; |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(mapto.isNegSign(t), (expect[i][j] < 0)); |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
template<class T> |
|
|
|
|
|
|
|
void osswu2_helpTest(const T& mapto) |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
const struct { |
|
|
|
|
|
|
|
Fp2Str t; |
|
|
|
|
|
|
|
Fp2Str x; |
|
|
|
|
|
|
|
Fp2Str y; |
|
|
|
|
|
|
|
Fp2Str z; |
|
|
|
|
|
|
|
} tbl[] = { |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0xe54bc0f2e26071a79ba5fe7ae5307d39cf5519e581e03b43f39a431eccc258fa1477c517b1268b22986601ee5caa5ea", |
|
|
|
|
|
|
|
"0x17e8397d5e687ff7f915c23f27fe1ca2c397a7df91de8c88dc82d34c9188a3ef719f9f20436ea8a5fe7d509fbc79214d", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x11d568058220b1826cacde2e367beef98ea1edfde5fbf0491231b7ffdfc867e5269f9cfe65347c32ead182ba6b8c3ba1", |
|
|
|
|
|
|
|
"0x19f2778213e671ac444b1b579bfdf4e7fabeed9626dc909ce243b60397a6b5f65af0fbbe02a43c1e289f28c927012da1", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0xfe17bc695a84ec060b6287a4e77a50f65ba8f2c6c433f8131036ddfe34e3071d1cb71c0000f6bcfada947b19d8588df", |
|
|
|
|
|
|
|
"0xb76abd285945f787721e7e306895149523941586ac44f25a294c406a70ed570020992025aa307777cfe6c590567dfbe", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x1910249ae63241608e013eb13578b9b3d96774d35e5732fc75efd17c212dd310d7f4016d6f212f62f33d34f10252e3e3", |
|
|
|
|
|
|
|
"0xdcd076cea67c76a6d0594c8f30c8cd8e9ead24f90870f723228f2203a55e04a5517c426ea2c4bae9d37a11c3d0f1912", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x2a8663422cc279aa8591819195a62cfd57357b7bcb6f4a9174275c2e2e754fb23e2f8a444d0d164990dc03dcb95a129", |
|
|
|
|
|
|
|
"0x15cf611083511955a70fdcc80cb08c6e22b8043a3038065251d4d3f82c6051bac4933e41d589514c42fba13f78f297ef", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x74ee12dce0c9a8836017172b562ebe491273964dd63df71dea6eb778cd9040e8c9a7136e745013c1def93cc57ef0dae", |
|
|
|
|
|
|
|
"0xedce8fa83a2435a796d207943b14ea4d1a9850e10a6c2035912f1c5bd579e9cabc54027b87a779af28f380cc5edc8a6", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x11367627461d742b4afac12bd789f1437787f2dc675cf2c7896f004ab8480c06cd06589748d8b9791b4969763962f73c", |
|
|
|
|
|
|
|
"0x101d8e4c1598e72d943dad4695cfa74236d5065345f1e62e62c75ca30cb0c41c3f6197d7c57d46e8cdd07845d77e1e34", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x3952479e45a0826275c1481fbd78a2b4c5076b6a5cd4ad7e132c1ec460dcaef504943e2c6a969ba182e230da3850b4", |
|
|
|
|
|
|
|
"0x13b8e64e2e233d1dc4506360c3bff93535642c2d3115c53c049e287e35c03212be882f0618cc50557e55b42be53e4893", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) { |
|
|
|
|
|
|
|
Fp2 t, x, y, z; |
|
|
|
|
|
|
|
E2 P; |
|
|
|
|
|
|
|
set(t, tbl[i].t); |
|
|
|
|
|
|
|
set(x, tbl[i].x); |
|
|
|
|
|
|
|
set(y, tbl[i].y); |
|
|
|
|
|
|
|
set(z, tbl[i].z); |
|
|
|
|
|
|
|
mapto.osswu2_help(P, t); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P.x, x); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P.y, y); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P.z, z); |
|
|
|
|
|
|
|
// CYBOZU_TEST_ASSERT(P.isValid());
|
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
void addTest() |
|
|
|
void addTest() |
|
|
|
{ |
|
|
|
{ |
|
|
|
const struct Tbl { |
|
|
|
const struct Tbl { |
|
|
@ -653,39 +244,6 @@ void iso3Test(const T& mapto) |
|
|
|
CYBOZU_TEST_EQUAL(Q1, Q2); |
|
|
|
CYBOZU_TEST_EQUAL(Q1, Q2); |
|
|
|
} |
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
void ethFp2ToG2test() |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
const Fp2Str t1s = { |
|
|
|
|
|
|
|
"0xafcfb20d836159f0cfb6f48c0ed808fd97a1cd1b9f1eb14451ff59e3884b1bf7665406cce673d434dde6933bdcf0ec9", |
|
|
|
|
|
|
|
"0x36714c33fa9c79b0bb9ac963f57b2d2b2659e211893e64292ee2a8c1259b1a834a769782bae17202b537a1fe901c55e", |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
const Fp2Str t2s = { |
|
|
|
|
|
|
|
"0xb9a2f39af0cc3264348ed00845545e2ccbed59ea541c726c8429871f9a0917fb4f7e049ac739065eea8354a2d1b2d21", |
|
|
|
|
|
|
|
"0xc8810a06deb536d70531352bd2a3aac7496e187a8fc102d800c5f8ed839bd64d7102197aeb2b6164d20ff920ff63afe", |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
const PointStr t1t2s = { |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x126b4982298792ed049850bb92b55d26c33a8e3139f9ca1a20821496c7396ce5ad9042b0da529e60ec9c3ff8e983befe", |
|
|
|
|
|
|
|
"0x11c1d2f6a6a81e1f82dee2278968326e23e6ae469252a51d86673bd8fb333b7bca615b63a068692ff419c5f3e388797b", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x92468e5829b26cc976aff103403b4b5304dd206228c6eb84ecf7b45709307390bf29dced39f9aa037b014ad6fb5a6e4", |
|
|
|
|
|
|
|
"0x5bd54eef1fdade89c98ab5c27d3dd9e18868af4250ff3a49de71d060ab62b7be039a3b2a8ef0c870d9021f6eae22029", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x154920adb9d857620c2835f4a5445bda35da53411710d559b18430f1b48c7cf2048cc275e0a9e01436d355f76fa0a9ec", |
|
|
|
|
|
|
|
"0xccc404e5d17aa51f7669402916cf86587ce7cd9c657e90b05d7c8860940f741e62628df420d92c659d159d4b7683cce", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
Fp2 t1, t2; |
|
|
|
|
|
|
|
set(t1, t1s); |
|
|
|
|
|
|
|
set(t2, t2s); |
|
|
|
|
|
|
|
G2 P1, P2; |
|
|
|
|
|
|
|
set(P1, t1t2s); |
|
|
|
|
|
|
|
ethFp2ToG2(P2, t1, &t2); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P1, P2); |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
void testVec(const char *file) |
|
|
|
void testVec(const char *file) |
|
|
|
{ |
|
|
|
{ |
|
|
|
std::ifstream ifs(file); |
|
|
|
std::ifstream ifs(file); |
|
|
@ -711,147 +269,6 @@ void testVec(const char *file) |
|
|
|
} |
|
|
|
} |
|
|
|
} |
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
template<class T> |
|
|
|
|
|
|
|
void py_eccTest2(const T& mapto) |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
Fp2Str ts = { |
|
|
|
|
|
|
|
"1918231859236664604157448091070531325862162392395253569013354101088957561890652491757605826252839368362075816084620", |
|
|
|
|
|
|
|
"1765592454498940438559713185757713516213027777891663285362602185795653989012303939547547418058658378320847225866857", |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
PointStr out1s = { |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"3927184272261705576225284664838663573624313247854459615864888213007837227449093837336748448846489186151562481034580", |
|
|
|
|
|
|
|
"1903293468617299241460799312855927163610998535569367868293984916087966126786510088134190993502241498025510393259948", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"3991322739214666504999201807778913642377537002372597995520099276113880862779909709825029178857593814896063515454176", |
|
|
|
|
|
|
|
"2999367925154329126226224834594837693635617675385117964685771461463180146028553717562548600391126160503718637741311", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"2578853905647618145305524664579860566455691148296386065391659245709237478565628968511959291772795541098532647163712", |
|
|
|
|
|
|
|
"3910188857576114167072883940429120413632909260968721432280195359371907407125083761682822023489835923188989938783197", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
PointStr out2s = { |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"3257676086538823567761244186080544403330427395946948635449582231233180442322077484215757257097813156392664917178234", |
|
|
|
|
|
|
|
"228537154970146118588036771068753907531432250550232803895899422656339347346840810590265440478956079727608969412311", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"2211656311977487430400091470761449132135875543285725344573261083165139360734602590585740129428161178745780787382986", |
|
|
|
|
|
|
|
"40258781102313547933704047733645277081466097003572358028270922475602169023300010845551344432311507156784289541037", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"3554635405737095173231135338330740471713348364117258010850826274365262386961694608537862757803628655357449929362973", |
|
|
|
|
|
|
|
"3305133470803621861948711123350198492693369595391902116552614265910644738630055172693143208260379598437272858586799", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
Fp2 t; |
|
|
|
|
|
|
|
set(t, ts); |
|
|
|
|
|
|
|
E2 p, q; |
|
|
|
|
|
|
|
py_ecc_optimized_swu_G2(mapto, p, t); |
|
|
|
|
|
|
|
set(q, out1s); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(p.x, q.x); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(p.y, q.y); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(p.z, q.z); |
|
|
|
|
|
|
|
G2 P, Q; |
|
|
|
|
|
|
|
set(P, out2s); |
|
|
|
|
|
|
|
py_ecc_map_to_curve_G2(mapto, Q, t); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P, Q); |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
template<class T> |
|
|
|
|
|
|
|
void testHashToFp2v6(const T& mapto) |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
const struct { |
|
|
|
|
|
|
|
const char *msg; |
|
|
|
|
|
|
|
const char *dst; |
|
|
|
|
|
|
|
const Fp2Str s[2]; |
|
|
|
|
|
|
|
} tbl[] = { |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
// from draft-irtf-cfrg-hash-to-curve/poc/vectors/BLS12381G2_XMD:SHA-256_SSWU_RO_.json.swp
|
|
|
|
|
|
|
|
"abc", |
|
|
|
|
|
|
|
"BLS12381G2_XMD:SHA-256_SSWU_RO_TESTGEN", |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x0b7b2d371fc970671ddf7bc9ca4a70a1bd286af4487b497e460c0b44d405d73db576f8a08d59416cc976d4b1d0100775", |
|
|
|
|
|
|
|
"0x0e86d0eb2d34c34fe8b2a1f2d999fa3dabcd504fdb4beb57e79756b08fd75b0a82660abc6026ecc4ccf327a522587b38", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x10376d048c060df1c5017a363144c482892fe2ce0061094327b8bbe49a713ce795726aa23b5402a271e9f1e7b9b6c7ba", |
|
|
|
|
|
|
|
"0x0117f2ea63015e192d759f11a658a002e06112147d90f00d7429722456b9a1c63fef2dbe8df13168e3bd40af2fb959f3", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"asdf", |
|
|
|
|
|
|
|
"QUUX-V01-CS02", |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"2036684013374073670470642478097435082393965905216073159069132582313283074894808330704754509140183015844408257838394", |
|
|
|
|
|
|
|
"1442095344782436377607687657711937282361342321405422912347590889376773969332935605209326528060836557922932229521614", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"712603160732423529538850938327197859251773848793464448294977148617985113767869616209273456982966659285651019780554", |
|
|
|
|
|
|
|
"3549454379036632156704729135192770954406411172309331582430747991672599371642148666322072960024366511631069032927782", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"asdf", |
|
|
|
|
|
|
|
"BLS_SIG_BLS12381G2-SHA256-SSWU-RO-_POP_", |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"1184058645632270717238802026167521675640665254051621677891229161275546248273726163051942698406031256547695641333159", |
|
|
|
|
|
|
|
"2796840541941870488250990266864713579761728392052042558603386652320835698725612365412314296122895578014688997245820", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"1432011693332698211658748968085869636612625272476301004513458304498234062483485462991424286092448663756703927705584", |
|
|
|
|
|
|
|
"3596297820733241889565943496970554637589864863833863117721478512486741539397910569381754340032782454436609027606827", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) { |
|
|
|
|
|
|
|
const char *msg = tbl[i].msg; |
|
|
|
|
|
|
|
const char *dst = tbl[i].dst; |
|
|
|
|
|
|
|
const Fp2Str *expectStr = tbl[i].s; |
|
|
|
|
|
|
|
Fp2 out[2]; |
|
|
|
|
|
|
|
mapto.hashToFp2(out, msg, strlen(msg), dst, strlen(dst)); |
|
|
|
|
|
|
|
Fp2 expect[2]; |
|
|
|
|
|
|
|
for (int j = 0; j < 2; j++) { |
|
|
|
|
|
|
|
set(expect[j], expectStr[j]); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(out[j], expect[j]); |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
if (i == 0) { |
|
|
|
|
|
|
|
// from draft-irtf-cfrg-hash-to-curve/poc/vectors/BLS12381G2_XMD:SHA-256_SSWU_RO_.json.swp
|
|
|
|
|
|
|
|
const Fp2Str xys[] = { |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x0b6d276d0bfbddde617a9ab4c175b07c9c4aecad2cdd6cc9ca541b61334a69c58680ef5692bbad03d2f572838df32b66", |
|
|
|
|
|
|
|
"0x139e9d78ff6d9d163f979d14a64c5e57f82f1ef7e42ece338b571a9e92c0666f0f6bf1a5fc21e2d32bcb6432eab7037c", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
{ |
|
|
|
|
|
|
|
"0x022f9ee5d596d06c5f2f735c3c5f743978f79fd57bf7d4291e221227f490d3f276066de9f9edc89c57e048ef4cf0ef72", |
|
|
|
|
|
|
|
"0x14dd23517516a80d1d840e34f51dfb76946c7670fca0f36ad8ec9bde4ea82dfae119a21b076519bcc1c00152989a4d45", |
|
|
|
|
|
|
|
}, |
|
|
|
|
|
|
|
}; |
|
|
|
|
|
|
|
G2 P; |
|
|
|
|
|
|
|
mapto.opt_swu2_map(P, out[0], &out[1]); |
|
|
|
|
|
|
|
P.normalize(); |
|
|
|
|
|
|
|
Fp2 t; |
|
|
|
|
|
|
|
set(t, xys[0]); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P.x, t); |
|
|
|
|
|
|
|
set(t, xys[1]); |
|
|
|
|
|
|
|
CYBOZU_TEST_EQUAL(P.y, t); |
|
|
|
|
|
|
|
} |
|
|
|
|
|
|
|
} |
|
|
|
|
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G2 P; |
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mcl::bn::hashAndMapToG2(P, "asdf", 4); |
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CYBOZU_BENCH_C("draft06 hashAndMapToG2", 1000, mcl::bn::hashAndMapToG2, P, "asdf", 4); |
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P.normalize(); |
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// printf("P=%s %s\n", P.x.getStr(10).c_str(), P.y.getStr(10).c_str());
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} |
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template<class T> |
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template<class T> |
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void testHashToFp2v7(const T& mapto) |
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void testHashToFp2v7(const T& mapto) |
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{ |
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{ |
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@ -1225,24 +642,11 @@ CYBOZU_TEST_AUTO(test) |
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{ |
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{ |
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initPairing(mcl::BLS12_381); |
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initPairing(mcl::BLS12_381); |
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Fp::setETHserialization(true); |
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Fp::setETHserialization(true); |
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bn::setMapToMode(MCL_MAP_TO_MODE_WB19); |
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bn::setMapToMode(MCL_MAP_TO_MODE_HASH_TO_CURVE_07); |
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const MapTo& mapto = BN::param.mapTo.mapTo_WB19_; |
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const MapTo& mapto = BN::param.mapTo.mapTo_WB19_; |
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py_eccTest(mapto); |
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py_eccTest2(mapto); |
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osswu2_helpTest(mapto); |
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addTest(); |
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addTest(); |
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iso3Test(mapto); |
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iso3Test(mapto); |
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testSign(mapto); |
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ethFp2ToG2test(); |
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testHMAC(); |
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testHMAC(); |
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testHashToFp2(); |
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ethMsgToG2test(); |
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testVec("../misc/mapto/fips_186_3_B233.txt"); |
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testVec("../misc/mapto/misc.txt"); |
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ethMsgToG2testAll("../bls_sigs_ref/test-vectors/hash_g2/"); |
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bn::setMapToMode(MCL_MAP_TO_MODE_HASH_TO_CURVE_06); |
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testHashToFp2v6(mapto); |
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bn::setMapToMode(MCL_MAP_TO_MODE_HASH_TO_CURVE_07); |
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testHashToFp2v7(mapto); |
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testHashToFp2v7(mapto); |
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testEth2phase0(); |
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testEth2phase0(); |
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testSswuG1(mapto); |
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testSswuG1(mapto); |
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