implement public child key derivation

bip32.c

@@ -13,9 +13,9 @@ void hdnode_from_pub(uint32_t version, uint32_t depth, uint32_t fingerprint, uin
 	out->depth = depth;
 	out->fingerprint = fingerprint;
 	out->child_num = child_num;
+	memset(out->private_key, 0, 32);
 	memcpy(out->chain_code, chain_code, 32);
 	memcpy(out->public_key, public_key, 33);
-	memset(out->private_key, 0, 32);
 	hdnode_fill_address(out);
 }
 
@@ -32,9 +32,10 @@ void hdnode_from_seed(uint8_t *seed, int seed_len, HDNode *out)
 	hdnode_fill_address(out);
 }
 
-void hdnode_descent(HDNode *inout, uint32_t i)
+int hdnode_private_ckd(HDNode *inout, uint32_t i)
 {
 	uint8_t data[1 + 32 + 4];
+	uint8_t I[32 + 32];
 	bignum256 a, b;
 
 	if (i & 0x80000000) { // private derivation
@@ -47,9 +48,9 @@ void hdnode_descent(HDNode *inout, uint32_t i)
 
 	bn_read_be(inout->private_key, &a);
 
-	// this can be done because private_key[32] and chain_code[32]
+	hmac_sha512(inout->chain_code, 32, data, sizeof(data), I);
-	// form a continuous 64 byte block in the memory
+	memcpy(inout->private_key, I, 32);
-	hmac_sha512(inout->chain_code, 32, data, sizeof(data), inout->private_key);
+	memcpy(inout->chain_code, I + 32, 32);
 
 	bn_read_be(inout->private_key, &b);
 	bn_addmod(&a, &b, &order256k1);
@@ -60,6 +61,41 @@ void hdnode_descent(HDNode *inout, uint32_t i)
 
 	hdnode_fill_public_key(inout);
 	hdnode_fill_address(inout);
+	return 1;
+}
+
+int hdnode_public_ckd(HDNode *inout, uint32_t i)
+{
+	uint8_t data[1 + 32 + 4];
+	uint8_t I[32 + 32];
+	curve_point a, b;
+	bignum256 c;
+
+	if (i & 0x80000000) { // private derivation
+		return 0;
+	} else { // public derivation
+		memcpy(data, inout->public_key, 33);
+	}
+	write_be(data + 33, i);
+
+	memset(inout->private_key, 0, 32);
+	if (!ecdsa_read_pubkey(inout->public_key, &a)) {
+		return 0;
+	}
+
+	hmac_sha512(inout->chain_code, 32, data, sizeof(data), I);
+	memcpy(inout->chain_code, I + 32, 32);
+	bn_read_be(I, &c);
+	scalar_multiply(&c, &b); // b = c * G
+	point_add(&a, &b);       // b = a + b
+	inout->public_key[0] = 0x02 | (b.y.val[0] & 0x01);
+	bn_write_be(&b.x, inout->public_key + 1);
+
+	inout->depth++;
+	inout->child_num = i;
+
+	hdnode_fill_address(inout);
+	return 1;
 }
 
 void hdnode_fill_public_key(HDNode *xprv)

bip32.h

@@ -8,8 +8,8 @@ typedef struct {
 	uint32_t depth;
 	uint32_t fingerprint;
 	uint32_t child_num;
-	uint8_t private_key[32]; // private_key + chain_code have to
+	uint8_t private_key[32];
-	uint8_t chain_code[32];  // form a continuous 64 byte block
+	uint8_t chain_code[32];
 	uint8_t public_key[33];
 	char address[35];
 } HDNode;
@@ -20,9 +20,11 @@ void hdnode_from_pub(uint32_t version, uint32_t depth, uint32_t fingerprint, uin
 
 void hdnode_from_seed(uint8_t *seed, int seed_len, HDNode *out);
 
-#define hdnode_descent_prime(X, I) hdnode_descent((X), ((I) | 0x80000000))
+#define hdnode_private_ckd_prime(X, I) hdnode_private_ckd((X), ((I) | 0x80000000))
 
-void hdnode_descent(HDNode *inout, uint32_t i);
+int hdnode_private_ckd(HDNode *inout, uint32_t i);
+
+int hdnode_public_ckd(HDNode *inout, uint32_t i);
 
 void hdnode_fill_public_key(HDNode *xprv);
 

ecdsa.c

@@ -337,6 +337,33 @@ void ecdsa_get_address(const uint8_t *pub_key, uint8_t version, char *addr)
 	}
 }
 
+int ecdsa_read_pubkey(const uint8_t *pub_key, curve_point *pub)
+{
+	if (pub_key[0] == 0x04) {
+		bn_read_be(pub_key + 1, &(pub->x));
+		bn_read_be(pub_key + 33, &(pub->y));
+		return 1;
+	}
+
+	if (pub_key[0] == 0x02 || pub_key[0] == 0x03) { // compute missing y coords
+		// y^2 = x^3 + 0*x + 7
+		bn_read_be(pub_key + 1, &(pub->x));
+		bn_read_be(pub_key + 1, &(pub->y));          // y is x
+		bn_multiply(&(pub->x), &(pub->y), &prime256k1); // y is x^2
+		bn_multiply(&(pub->x), &(pub->y), &prime256k1); // y is x^3
+		bn_addmodi(&(pub->y), 7, &prime256k1);       // y is x^3 + 7
+		bn_sqrt(&(pub->y), &prime256k1);             // y = sqrt(y)
+		if ((pub_key[0] & 0x01) != (pub->y.val[0] & 1)) {
+			bn_substract(&prime256k1, &(pub->y), &(pub->y)); // y = -y
+			bn_mod(&(pub->y), &prime256k1);
+		}
+		return 1;
+	}
+
+	// error
+	return 0;
+}
+
 // uses secp256k1 curve
 // pub_key - 65 bytes uncompressed key
 // signature - 64 bytes signature
@@ -355,24 +382,9 @@ int ecdsa_verify(const uint8_t *pub_key, const uint8_t *sig, const uint8_t *msg,
 	// if double hash is required uncomment the following line:
 	// SHA256_Raw(hash, 32, hash);
 
-	if (pub_key[0] == 0x04) {
+	if (!ecdsa_read_pubkey(pub_key, &pub)) {
-		bn_read_be(pub_key + 1, &pub.x);
+		return 1;
-		bn_read_be(pub_key + 33, &pub.y);
+	}
-	} else
-	if (pub_key[0] == 0x02 || pub_key[0] == 0x03) { // compute missing y coords
-		// y^2 = x^3 + 0*x + 7
-		bn_read_be(pub_key + 1, &pub.x);
-		bn_read_be(pub_key + 1, &pub.y);          // y is x
-		bn_multiply(&pub.x, &pub.y, &prime256k1); // y is x^2
-		bn_multiply(&pub.x, &pub.y, &prime256k1); // y is x^3
-		bn_addmodi(&pub.y, 7, &prime256k1);       // y is x^3 + 7
-		bn_sqrt(&pub.y, &prime256k1);             // y = sqrt(y)
-		if ((pub_key[0] & 0x01) != (pub.y.val[0] & 1)) {
-			bn_substract(&prime256k1, &pub.y, &pub.y); // y = -y
-			bn_mod(&pub.y, &prime256k1);
-		}
-	} else
-	return 1;
 
 	bn_read_be(sig, &r);
 	bn_read_be(sig + 32, &s);

ecdsa.h

@@ -32,10 +32,15 @@
 #define USE_RFC6979 1
 #endif
 
+void point_add(const curve_point *cp1, curve_point *cp2);
+void point_double(curve_point *cp);
+void scalar_multiply(bignum256 *k, curve_point *res);
+
 int ecdsa_sign(const uint8_t *priv_key, const uint8_t *msg, uint32_t msg_len, uint8_t *sig);
 void ecdsa_get_public_key33(const uint8_t *priv_key, uint8_t *pub_key);
 void ecdsa_get_public_key65(const uint8_t *priv_key, uint8_t *pub_key);
 void ecdsa_get_address(const uint8_t *pub_key, uint8_t version, char *addr);
+int ecdsa_read_pubkey(const uint8_t *pub_key, curve_point *pub);
 int ecdsa_verify(const uint8_t *pub_key, const uint8_t *sig, const uint8_t *msg, uint32_t msg_len);
 
 #endif

tests.c

@@ -89,35 +89,35 @@ START_TEST(test_bip32_vector_1)
 	ck_assert_str_eq(node.address,     "15mKKb2eos1hWa6tisdPwwDC1a5J1y9nma");
 
 	// [Chain m/0']
-	hdnode_descent_prime(&node, 0);
+	hdnode_private_ckd_prime(&node, 0);
 	ck_assert_mem_eq(node.chain_code,  fromhex("47fdacbd0f1097043b78c63c20c34ef4ed9a111d980047ad16282c7ae6236141"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("edb2e14f9ee77d26dd93b4ecede8d16ed408ce149b6cd80b0715a2d911a0afea"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("035a784662a4a20a65bf6aab9ae98a6c068a81c52e4b032c0fb5400c706cfccc56"), 33);
 	ck_assert_str_eq(node.address,     "19Q2WoS5hSS6T8GjhK8KZLMgmWaq4neXrh");
 
 	// [Chain m/0'/1]
-	hdnode_descent(&node, 1);
+	hdnode_private_ckd(&node, 1);
 	ck_assert_mem_eq(node.chain_code,  fromhex("2a7857631386ba23dacac34180dd1983734e444fdbf774041578e9b6adb37c19"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("3c6cb8d0f6a264c91ea8b5030fadaa8e538b020f0a387421a12de9319dc93368"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("03501e454bf00751f24b1b489aa925215d66af2234e3891c3b21a52bedb3cd711c"), 33);
 	ck_assert_str_eq(node.address,     "1JQheacLPdM5ySCkrZkV66G2ApAXe1mqLj");
 
 	// [Chain m/0'/1/2']
-	hdnode_descent_prime(&node, 2);
+	hdnode_private_ckd_prime(&node, 2);
 	ck_assert_mem_eq(node.chain_code,  fromhex("04466b9cc8e161e966409ca52986c584f07e9dc81f735db683c3ff6ec7b1503f"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("cbce0d719ecf7431d88e6a89fa1483e02e35092af60c042b1df2ff59fa424dca"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("0357bfe1e341d01c69fe5654309956cbea516822fba8a601743a012a7896ee8dc2"), 33);
 	ck_assert_str_eq(node.address,     "1NjxqbA9aZWnh17q1UW3rB4EPu79wDXj7x");
 
 	// [Chain m/0'/1/2'/2]
-	hdnode_descent(&node, 2);
+	hdnode_private_ckd(&node, 2);
 	ck_assert_mem_eq(node.chain_code,  fromhex("cfb71883f01676f587d023cc53a35bc7f88f724b1f8c2892ac1275ac822a3edd"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("0f479245fb19a38a1954c5c7c0ebab2f9bdfd96a17563ef28a6a4b1a2a764ef4"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("02e8445082a72f29b75ca48748a914df60622a609cacfce8ed0e35804560741d29"), 33);
 	ck_assert_str_eq(node.address,     "1LjmJcdPnDHhNTUgrWyhLGnRDKxQjoxAgt");
 
 	// [Chain m/0'/1/2'/2/1000000000]
-	hdnode_descent(&node, 1000000000);
+	hdnode_private_ckd(&node, 1000000000);
 	ck_assert_mem_eq(node.chain_code,  fromhex("c783e67b921d2beb8f6b389cc646d7263b4145701dadd2161548a8b078e65e9e"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("471b76e389e528d6de6d816857e012c5455051cad6660850e58372a6c3e6e7c8"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("022a471424da5e657499d1ff51cb43c47481a03b1e77f951fe64cec9f5a48f7011"), 33);
@@ -129,6 +129,7 @@ END_TEST
 START_TEST(test_bip32_vector_2)
 {
 	HDNode node;
+	int r;
 
 	// init m
 	hdnode_from_seed(fromhex("fffcf9f6f3f0edeae7e4e1dedbd8d5d2cfccc9c6c3c0bdbab7b4b1aeaba8a5a29f9c999693908d8a8784817e7b7875726f6c696663605d5a5754514e4b484542"), 64, &node);
@@ -140,39 +141,56 @@ START_TEST(test_bip32_vector_2)
 	ck_assert_str_eq(node.address,     "1JEoxevbLLG8cVqeoGKQiAwoWbNYSUyYjg");
 
 	// [Chain m/0]
-	hdnode_descent(&node, 0);
+	r = hdnode_private_ckd(&node, 0);
+	ck_assert_int_eq(r, 1);
 	ck_assert_mem_eq(node.chain_code,  fromhex("f0909affaa7ee7abe5dd4e100598d4dc53cd709d5a5c2cac40e7412f232f7c9c"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("abe74a98f6c7eabee0428f53798f0ab8aa1bd37873999041703c742f15ac7e1e"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("02fc9e5af0ac8d9b3cecfe2a888e2117ba3d089d8585886c9c826b6b22a98d12ea"), 33);
 	ck_assert_str_eq(node.address,     "19EuDJdgfRkwCmRzbzVBHZWQG9QNWhftbZ");
 
 	// [Chain m/0/2147483647']
-	hdnode_descent_prime(&node, 2147483647);
+	r = hdnode_private_ckd_prime(&node, 2147483647);
+	ck_assert_int_eq(r, 1);
 	ck_assert_mem_eq(node.chain_code,  fromhex("be17a268474a6bb9c61e1d720cf6215e2a88c5406c4aee7b38547f585c9a37d9"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("877c779ad9687164e9c2f4f0f4ff0340814392330693ce95a58fe18fd52e6e93"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("03c01e7425647bdefa82b12d9bad5e3e6865bee0502694b94ca58b666abc0a5c3b"), 33);
 	ck_assert_str_eq(node.address,     "1Lke9bXGhn5VPrBuXgN12uGUphrttUErmk");
 
 	// [Chain m/0/2147483647'/1]
-	hdnode_descent(&node, 1);
+	r = hdnode_private_ckd(&node, 1);
+	ck_assert_int_eq(r, 1);
 	ck_assert_mem_eq(node.chain_code,  fromhex("f366f48f1ea9f2d1d3fe958c95ca84ea18e4c4ddb9366c336c927eb246fb38cb"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("704addf544a06e5ee4bea37098463c23613da32020d604506da8c0518e1da4b7"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("03a7d1d856deb74c508e05031f9895dab54626251b3806e16b4bd12e781a7df5b9"), 33);
 	ck_assert_str_eq(node.address,     "1BxrAr2pHpeBheusmd6fHDP2tSLAUa3qsW");
 
 	// [Chain m/0/2147483647'/1/2147483646']
-	hdnode_descent_prime(&node, 2147483646);
+	r = hdnode_private_ckd_prime(&node, 2147483646);
+	ck_assert_int_eq(r, 1);
 	ck_assert_mem_eq(node.chain_code,  fromhex("637807030d55d01f9a0cb3a7839515d796bd07706386a6eddf06cc29a65a0e29"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("f1c7c871a54a804afe328b4c83a1c33b8e5ff48f5087273f04efa83b247d6a2d"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("02d2b36900396c9282fa14628566582f206a5dd0bcc8d5e892611806cafb0301f0"), 33);
 	ck_assert_str_eq(node.address,     "15XVotxCAV7sRx1PSCkQNsGw3W9jT9A94R");
 
 	// [Chain m/0/2147483647'/1/2147483646'/2]
-	hdnode_descent(&node, 2);
+	r = hdnode_private_ckd(&node, 2);
+	ck_assert_int_eq(r, 1);
 	ck_assert_mem_eq(node.chain_code,  fromhex("9452b549be8cea3ecb7a84bec10dcfd94afe4d129ebfd3b3cb58eedf394ed271"), 32);
 	ck_assert_mem_eq(node.private_key, fromhex("bb7d39bdb83ecf58f2fd82b6d918341cbef428661ef01ab97c28a4842125ac23"), 32);
 	ck_assert_mem_eq(node.public_key,  fromhex("024d902e1a2fc7a8755ab5b694c575fce742c48d9ff192e63df5193e4c7afe1f9c"), 33);
 	ck_assert_str_eq(node.address,     "14UKfRV9ZPUp6ZC9PLhqbRtxdihW9em3xt");
+
+	// init m
+	hdnode_from_seed(fromhex("fffcf9f6f3f0edeae7e4e1dedbd8d5d2cfccc9c6c3c0bdbab7b4b1aeaba8a5a29f9c999693908d8a8784817e7b7875726f6c696663605d5a5754514e4b484542"), 64, &node);
+
+	// test public derivation
+	// [Chain m/0]
+	r = hdnode_public_ckd(&node, 0);
+	ck_assert_int_eq(r, 1);
+	ck_assert_mem_eq(node.chain_code,  fromhex("f0909affaa7ee7abe5dd4e100598d4dc53cd709d5a5c2cac40e7412f232f7c9c"), 32);
+	ck_assert_mem_eq(node.private_key, fromhex("0000000000000000000000000000000000000000000000000000000000000000"), 32);
+	ck_assert_mem_eq(node.public_key,  fromhex("02fc9e5af0ac8d9b3cecfe2a888e2117ba3d089d8585886c9c826b6b22a98d12ea"), 33);
+	ck_assert_str_eq(node.address,     "19EuDJdgfRkwCmRzbzVBHZWQG9QNWhftbZ");
 }
 END_TEST
 
@@ -320,76 +338,76 @@ START_TEST(test_mnemonic)
 	static const char *vectors[] = {
 		"00000000000000000000000000000000",
 		"abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon about",
-		"3d39670caaa237f5fb2999474413733b59d9dfe12b2cccfe878069a2f605ae467a669619a0a45c7b3378c4c812b80be677c1b8f8f60db9383f1ed265c45eb41c",
+		"c55257c360c07c72029aebc1b53c05ed0362ada38ead3e3e9efa3708e53495531f09a6987599d18264c1e1c92f2cf141630c7a3c4ab7c81b2f001698e7463b04",
 		"7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f",
 		"legal winner thank year wave sausage worth useful legal winner thank yellow",
-		"34eb04e0d4d60d00217f1c0150d8b0d6ffc6086e365a8a94fcceae8614e38274e719ebe7a693356426d1c62fdf90c84eaaac3d920743f3e79e0970a295886a08",
+		"2e8905819b8723fe2c1d161860e5ee1830318dbf49a83bd451cfb8440c28bd6fa457fe1296106559a3c80937a1c1069be3a3a5bd381ee6260e8d9739fce1f607",
 		"80808080808080808080808080808080",
 		"letter advice cage absurd amount doctor acoustic avoid letter advice cage above",
-		"acd45eb0b06e53d2e0fa6d1b3e8b3c33f200d2be6013fc5f8796c8c1d238552a615a01f325d78a10e633991d92f1236e21c24afe7c679fa1ecbc67fe71a5337d",
+		"d71de856f81a8acc65e6fc851a38d4d7ec216fd0796d0a6827a3ad6ed5511a30fa280f12eb2e47ed2ac03b5c462a0358d18d69fe4f985ec81778c1b370b652a8",
 		"ffffffffffffffffffffffffffffffff",
 		"zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo wrong",
-		"d20f4e7902c3fd2f7716a533b131042036e6df2e44b14c8d65eb57403d002e4a12fa9be5325b257637ad1209e850188ffb061b3033a315b236ffc70c4ab4ea96",
+		"ac27495480225222079d7be181583751e86f571027b0497b5b5d11218e0a8a13332572917f0f8e5a589620c6f15b11c61dee327651a14c34e18231052e48c069",
 		"000000000000000000000000000000000000000000000000",
 		"abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon agent",
-		"55fb6d9683e16f71025b73efa1a297d522010e37a4fc5b54770b09173e4f7fed85f83b075142965015d17c8f7a365e589ac943ed83cfbf76dcaf301c6c53b9d6",
+		"035895f2f481b1b0f01fcf8c289c794660b289981a78f8106447707fdd9666ca06da5a9a565181599b79f53b844d8a71dd9f439c52a3d7b3e8a79c906ac845fa",
 		"7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f",
 		"legal winner thank year wave sausage worth useful legal winner thank year wave sausage worth useful legal will",
-		"a2455beee8e73686d56f92979ed8a69011772f68e8329a437f47e55d79eaeec25afc2ac5ff636ac8578161a09a2ea690747575653f9d91016b09b71227a53791",
+		"f2b94508732bcbacbcc020faefecfc89feafa6649a5491b8c952cede496c214a0c7b3c392d168748f2d4a612bada0753b52a1c7ac53c1e93abd5c6320b9e95dd",
 		"808080808080808080808080808080808080808080808080",
 		"letter advice cage absurd amount doctor acoustic avoid letter advice cage absurd amount doctor acoustic avoid letter always",
-		"dd53ab268c524bad304e3decf4298ba1413a785bc866c2118988d1634bddf5a1301718191b247761060bc6dce3c62f833b22c062e51e7508fc04201cd7f8515b",
+		"107d7c02a5aa6f38c58083ff74f04c607c2d2c0ecc55501dadd72d025b751bc27fe913ffb796f841c49b1d33b610cf0e91d3aa239027f5e99fe4ce9e5088cd65",
 		"ffffffffffffffffffffffffffffffffffffffffffffffff",
 		"zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo when",
-		"f0747118b52dcd33d383e5f3d6dddc94f66accd38b6d48f8a07fed9752fa8457dcb40bba5f40399814dcbd1a3f5cfaead1cf26c72268d1aa71561611421d4aaf",
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