diff options
Diffstat (limited to 'src')
-rw-r--r-- | src/add_scalar.c | 56 | ||||
-rw-r--r-- | src/axolotl.cpp | 439 | ||||
-rw-r--r-- | src/crypto.cpp | 256 | ||||
-rw-r--r-- | src/ed25519.h | 38 | ||||
-rw-r--r-- | src/fe.c | 1491 | ||||
-rw-r--r-- | src/fe.h | 41 | ||||
-rw-r--r-- | src/fixedint.h | 72 | ||||
-rw-r--r-- | src/ge.c | 467 | ||||
-rw-r--r-- | src/ge.h | 74 | ||||
-rw-r--r-- | src/key_exchange.c | 79 | ||||
-rw-r--r-- | src/keypair.c | 16 | ||||
-rw-r--r-- | src/libs.cpp | 19 | ||||
-rw-r--r-- | src/memory.cpp | 11 | ||||
-rw-r--r-- | src/message.cpp | 184 | ||||
-rw-r--r-- | src/precomp_data.h | 1391 | ||||
-rw-r--r-- | src/sc.c | 809 | ||||
-rw-r--r-- | src/sc.h | 12 | ||||
-rw-r--r-- | src/seed.c | 40 | ||||
-rw-r--r-- | src/sha512.c | 275 | ||||
-rw-r--r-- | src/sha512.h | 21 | ||||
-rw-r--r-- | src/sign.c | 31 | ||||
-rw-r--r-- | src/verify.c | 77 |
22 files changed, 909 insertions, 4990 deletions
diff --git a/src/add_scalar.c b/src/add_scalar.c deleted file mode 100644 index a4f2a55..0000000 --- a/src/add_scalar.c +++ /dev/null @@ -1,56 +0,0 @@ -#include "ed25519.h" -#include "ge.h" -#include "sc.h" - - -/* see http://crypto.stackexchange.com/a/6215/4697 */ -void ed25519_add_scalar(unsigned char *public_key, unsigned char *private_key, const unsigned char *scalar) { - const unsigned char SC_1[32] = {1}; /* scalar with value 1 */ - - unsigned char n[32]; - ge_p3 nB; - ge_p1p1 A_p1p1; - ge_p3 A; - ge_p3 public_key_unpacked; - ge_cached T; - - int i; - - /* copy the scalar and clear highest bit */ - for (i = 0; i < 31; ++i) { - n[i] = scalar[i]; - } - n[31] = scalar[31] & 127; - - /* private key: a = n + t */ - if (private_key) { - sc_muladd(private_key, SC_1, n, private_key); - } - - /* public key: A = nB + T */ - if (public_key) { - /* if we know the private key we don't need a point addition, which is faster */ - /* using a "timing attack" you could find out wether or not we know the private - key, but this information seems rather useless - if this is important pass - public_key and private_key seperately in 2 function calls */ - if (private_key) { - ge_scalarmult_base(&A, private_key); - } else { - /* unpack public key into T */ - ge_frombytes_negate_vartime(&public_key_unpacked, public_key); - fe_neg(public_key_unpacked.X, public_key_unpacked.X); /* undo negate */ - fe_neg(public_key_unpacked.T, public_key_unpacked.T); /* undo negate */ - ge_p3_to_cached(&T, &public_key_unpacked); - - /* calculate n*B */ - ge_scalarmult_base(&nB, n); - - /* A = n*B + T */ - ge_add(&A_p1p1, &nB, &T); - ge_p1p1_to_p3(&A, &A_p1p1); - } - - /* pack public key */ - ge_p3_tobytes(public_key, &A); - } -} diff --git a/src/axolotl.cpp b/src/axolotl.cpp new file mode 100644 index 0000000..0f0d226 --- /dev/null +++ b/src/axolotl.cpp @@ -0,0 +1,439 @@ +/* Copyright 2015 OpenMarket Ltd + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +#include "axolotl/axolotl.hh" +#include "axolotl/message.hh" +#include "axolotl/memory.hh" + +#include <cstring> + +namespace { + +std::uint8_t PROTOCOL_VERSION = 3; +std::size_t MAC_LENGTH = 8; +std::size_t KEY_LENGTH = axolotl::Curve25519PublicKey::LENGTH; +std::uint8_t MESSAGE_KEY_SEED[1] = {0x01}; +std::uint8_t CHAIN_KEY_SEED[1] = {0x02}; +std::size_t MAX_MESSAGE_GAP = 2000; + +void create_chain_key( + axolotl::SharedKey const & root_key, + axolotl::Curve25519KeyPair const & our_key, + axolotl::Curve25519PublicKey const & their_key, + axolotl::KdfInfo const & info, + axolotl::SharedKey & new_root_key, + axolotl::ChainKey & new_chain_key +) { + axolotl::SharedKey secret; + axolotl::curve25519_shared_secret(our_key, their_key, secret); + std::uint8_t derived_secrets[64]; + axolotl::hkdf_sha256( + secret, sizeof(secret), + root_key, sizeof(root_key), + info.ratchet_info, info.ratchet_info_length, + derived_secrets, sizeof(derived_secrets) + ); + std::memcpy(new_root_key, derived_secrets, 32); + std::memcpy(new_chain_key.key, derived_secrets + 32, 32); + new_chain_key.index = 0; + axolotl::unset(derived_secrets); + axolotl::unset(secret); +} + + +void advance_chain_key( + axolotl::ChainKey const & chain_key, + axolotl::ChainKey & new_chain_key +) { + axolotl::hmac_sha256( + chain_key.key, sizeof(chain_key.key), + CHAIN_KEY_SEED, sizeof(CHAIN_KEY_SEED), + new_chain_key.key + ); + new_chain_key.index = chain_key.index + 1; +} + + +void create_message_keys( + axolotl::ChainKey const & chain_key, + axolotl::KdfInfo const & info, + axolotl::MessageKey & message_key +) { + axolotl::SharedKey secret; + axolotl::hmac_sha256( + chain_key.key, sizeof(chain_key.key), + MESSAGE_KEY_SEED, sizeof(MESSAGE_KEY_SEED), + secret + ); + std::uint8_t derived_secrets[80]; + axolotl::hkdf_sha256( + secret, sizeof(secret), + NULL, 0, + info.message_info, info.message_info_length, + derived_secrets, sizeof(derived_secrets) + ); + std::memcpy(message_key.cipher_key.key, derived_secrets, 32); + std::memcpy(message_key.mac_key, derived_secrets + 32, 32); + std::memcpy(message_key.iv.iv, derived_secrets + 64, 16); + message_key.index = chain_key.index; + axolotl::unset(derived_secrets); + axolotl::unset(secret); +} + + +bool verify_mac( + axolotl::MessageKey const & message_key, + std::uint8_t const * input, + axolotl::MessageReader const & reader +) { + std::uint8_t mac[axolotl::HMAC_SHA256_OUTPUT_LENGTH]; + axolotl::hmac_sha256( + message_key.mac_key, sizeof(message_key.mac_key), + input, reader.body_length, + mac + ); + + bool result = std::memcmp(mac, reader.mac, MAC_LENGTH) == 0; + axolotl::unset(mac); + return result; +} + + +bool verify_mac_for_existing_chain( + axolotl::Session const & session, + axolotl::ChainKey const & chain, + std::uint8_t const * input, + axolotl::MessageReader const & reader +) { + if (reader.counter < chain.index) { + return false; + } + + /* Limit the number of hashes we're prepared to compute */ + if (reader.counter - chain.index > MAX_MESSAGE_GAP) { + return false; + } + + axolotl::ChainKey new_chain = chain; + + while (new_chain.index < reader.counter) { + advance_chain_key(new_chain, new_chain); + } + + axolotl::MessageKey message_key; + create_message_keys(new_chain, session.kdf_info, message_key); + + bool result = verify_mac(message_key, input, reader); + axolotl::unset(new_chain); + return result; +} + + +bool verify_mac_for_new_chain( + axolotl::Session const & session, + std::uint8_t const * input, + axolotl::MessageReader const & reader +) { + axolotl::SharedKey new_root_key; + axolotl::ReceiverChain new_chain; + + /* They shouldn't move to a new chain until we've sent them a message + * acknowledging the last one */ + if (session.sender_chain.empty()) { + return false; + } + + /* Limit the number of hashes we're prepared to compute */ + if (reader.counter > MAX_MESSAGE_GAP) { + return false; + } + std::memcpy( + new_chain.ratchet_key.public_key, reader.ratchet_key, KEY_LENGTH + ); + + create_chain_key( + session.root_key, session.sender_chain[0].ratchet_key, + new_chain.ratchet_key, session.kdf_info, + new_root_key, new_chain.chain_key + ); + + bool result = verify_mac_for_existing_chain( + session, new_chain.chain_key, input, reader + ); + axolotl::unset(new_root_key); + axolotl::unset(new_chain); + return result; +} + +} // namespace + + +axolotl::Session::Session( + axolotl::KdfInfo const & kdf_info +) : kdf_info(kdf_info), last_error(axolotl::ErrorCode::SUCCESS) { +} + + +void axolotl::Session::initialise_as_bob( + std::uint8_t const * shared_secret, std::size_t shared_secret_length, + axolotl::Curve25519PublicKey const & their_ratchet_key +) { + std::uint8_t derived_secrets[64]; + axolotl::hkdf_sha256( + shared_secret, shared_secret_length, + NULL, 0, + kdf_info.root_info, kdf_info.root_info_length, + derived_secrets, sizeof(derived_secrets) + ); + receiver_chains.insert(); + std::memcpy(root_key, derived_secrets, 32); + std::memcpy(receiver_chains[0].chain_key.key, derived_secrets + 32, 32); + receiver_chains[0].ratchet_key = their_ratchet_key; + axolotl::unset(derived_secrets); +} + + +void axolotl::Session::initialise_as_alice( + std::uint8_t const * shared_secret, std::size_t shared_secret_length, + axolotl::Curve25519KeyPair const & our_ratchet_key +) { + std::uint8_t derived_secrets[64]; + axolotl::hkdf_sha256( + shared_secret, shared_secret_length, + NULL, 0, + kdf_info.root_info, kdf_info.root_info_length, + derived_secrets, sizeof(derived_secrets) + ); + sender_chain.insert(); + std::memcpy(root_key, derived_secrets, 32); + std::memcpy(sender_chain[0].chain_key.key, derived_secrets + 32, 32); + sender_chain[0].ratchet_key = our_ratchet_key; + axolotl::unset(derived_secrets); +} + + +std::size_t axolotl::Session::encrypt_max_output_length( + std::size_t plaintext_length +) { + std::size_t counter = 0; + if (!sender_chain.empty()) { + counter = sender_chain[0].chain_key.index; + } + std::size_t padded = axolotl::aes_encrypt_cbc_length(plaintext_length); + return axolotl::encode_message_length( + counter, KEY_LENGTH, padded, MAC_LENGTH + ); +} + + +std::size_t axolotl::Session::encrypt_random_length() { + return sender_chain.empty() ? KEY_LENGTH : 0; +} + + +std::size_t axolotl::Session::encrypt( + std::uint8_t const * plaintext, std::size_t plaintext_length, + std::uint8_t const * random, std::size_t random_length, + std::uint8_t * output, std::size_t max_output_length +) { + if (random_length < encrypt_random_length()) { + last_error = axolotl::ErrorCode::NOT_ENOUGH_RANDOM; + return std::size_t(-1); + } + if (max_output_length < encrypt_max_output_length(plaintext_length)) { + last_error = axolotl::ErrorCode::OUTPUT_BUFFER_TOO_SMALL; + return std::size_t(-1); + } + + if (sender_chain.empty()) { + sender_chain.insert(); + axolotl::generate_key(random, sender_chain[0].ratchet_key); + create_chain_key( + root_key, + sender_chain[0].ratchet_key, + receiver_chains[0].ratchet_key, + kdf_info, + root_key, sender_chain[0].chain_key + ); + } + + MessageKey keys; + create_message_keys(sender_chain[0].chain_key, kdf_info, keys); + advance_chain_key(sender_chain[0].chain_key, sender_chain[0].chain_key); + + std::size_t padded = axolotl::aes_encrypt_cbc_length(plaintext_length); + std::uint32_t counter = keys.index; + const Curve25519PublicKey &ratchet_key = sender_chain[0].ratchet_key; + + axolotl::MessageWriter writer(axolotl::encode_message( + PROTOCOL_VERSION, counter, KEY_LENGTH, padded, output + )); + + std::memcpy(writer.ratchet_key, ratchet_key.public_key, KEY_LENGTH); + + axolotl::aes_encrypt_cbc( + keys.cipher_key, keys.iv, + plaintext, plaintext_length, + writer.ciphertext + ); + + std::uint8_t mac[axolotl::HMAC_SHA256_OUTPUT_LENGTH]; + axolotl::hmac_sha256( + keys.mac_key, sizeof(keys.mac_key), + output, writer.body_length, + mac + ); + std::memcpy(writer.mac, mac, MAC_LENGTH); + + axolotl::unset(keys); + return writer.body_length + MAC_LENGTH; +} + + +std::size_t axolotl::Session::decrypt_max_plaintext_length( + std::size_t input_length +) { + return input_length; +} + + +std::size_t axolotl::Session::decrypt( + std::uint8_t const * input, std::size_t input_length, + std::uint8_t * plaintext, std::size_t max_plaintext_length +) { + if (max_plaintext_length < decrypt_max_plaintext_length(input_length)) { + last_error = axolotl::ErrorCode::OUTPUT_BUFFER_TOO_SMALL; + return std::size_t(-1); + } + + axolotl::MessageReader reader(axolotl::decode_message( + input, input_length, MAC_LENGTH + )); + + if (reader.version != PROTOCOL_VERSION) { + last_error = axolotl::ErrorCode::BAD_MESSAGE_VERSION; + return std::size_t(-1); + } + + if (reader.body_length == 0 || reader.ratchet_key_length != KEY_LENGTH) { + last_error = axolotl::ErrorCode::BAD_MESSAGE_FORMAT; + return std::size_t(-1); + } + + ReceiverChain * chain = NULL; + for (axolotl::ReceiverChain & receiver_chain : receiver_chains) { + if (0 == std::memcmp( + receiver_chain.ratchet_key.public_key, reader.ratchet_key, + KEY_LENGTH + )) { + chain = &receiver_chain; + break; + } + } + + if (!chain) { + if (!verify_mac_for_new_chain(*this, input, reader)) { + last_error = axolotl::ErrorCode::BAD_MESSAGE_MAC; + return std::size_t(-1); + } + } else { + if (chain->chain_key.index > reader.counter) { + /* Chain already advanced beyond the key for this message + * Check if the message keys are in the skipped key list. */ + for (axolotl::SkippedMessageKey & skipped : skipped_message_keys) { + if (reader.counter == skipped.message_key.index + && 0 == std::memcmp( + skipped.ratchet_key.public_key, reader.ratchet_key, + KEY_LENGTH + ) + ) { + /* Found the key for this message. Check the MAC. */ + if (!verify_mac(skipped.message_key, input, reader)) { + last_error = axolotl::ErrorCode::BAD_MESSAGE_MAC; + return std::size_t(-1); + } + + std::size_t result = axolotl::aes_decrypt_cbc( + skipped.message_key.cipher_key, + skipped.message_key.iv, + reader.ciphertext, reader.ciphertext_length, + plaintext + ); + + if (result == std::size_t(-1)) { + last_error = axolotl::ErrorCode::BAD_MESSAGE_MAC; + return result; + } + + /* Remove the key from the skipped keys now that we've + * decoded the message it corresponds to. */ + axolotl::unset(skipped); + skipped_message_keys.erase(&skipped); + return result; + } + } + /* No matching keys for the message, fail with bad mac */ + last_error = axolotl::ErrorCode::BAD_MESSAGE_MAC; + return std::size_t(-1); + } else if (!verify_mac_for_existing_chain( + *this, chain->chain_key, input, reader + )) { + last_error = axolotl::ErrorCode::BAD_MESSAGE_MAC; + return std::size_t(-1); + } + } + + if (!chain) { + /* They have started using a new empheral ratchet key. + * We need to derive a new set of chain keys. + * We can discard our previous empheral ratchet key. + * We will generate a new key when we send the next message. */ + chain = receiver_chains.insert(); + std::memcpy( + chain->ratchet_key.public_key, reader.ratchet_key, KEY_LENGTH + ); + create_chain_key( + root_key, sender_chain[0].ratchet_key, chain->ratchet_key, + kdf_info, root_key, chain->chain_key + ); + axolotl::unset(sender_chain[0]); + sender_chain.erase(sender_chain.begin()); + } + + while (chain->chain_key.index < reader.counter) { + axolotl::SkippedMessageKey & key = *skipped_message_keys.insert(); + create_message_keys(chain->chain_key, kdf_info, key.message_key); + key.ratchet_key = chain->ratchet_key; + advance_chain_key(chain->chain_key, chain->chain_key); + } + + axolotl::MessageKey message_key; + create_message_keys(chain->chain_key, kdf_info, message_key); + std::size_t result = axolotl::aes_decrypt_cbc( + message_key.cipher_key, + message_key.iv, + reader.ciphertext, reader.ciphertext_length, + plaintext + ); + axolotl::unset(message_key); + + advance_chain_key(chain->chain_key, chain->chain_key); + + if (result == std::size_t(-1)) { + last_error = axolotl::ErrorCode::BAD_MESSAGE_MAC; + return std::size_t(-1); + } else { + return result; + } +} diff --git a/src/crypto.cpp b/src/crypto.cpp new file mode 100644 index 0000000..57f31cd --- /dev/null +++ b/src/crypto.cpp @@ -0,0 +1,256 @@ +/* Copyright 2015 OpenMarket Ltd + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +#include "axolotl/crypto.hh" +#include "axolotl/memory.hh" + +#include <cstring> + +extern "C" { + +int curve25519_donna( + uint8_t * output, + const uint8_t * secret, + const uint8_t * basepoint +); + +#include "crypto-algorithms/aes.h" +#include "crypto-algorithms/sha256.h" + +} + + +namespace { + +static const std::uint8_t CURVE25519_BASEPOINT[32] = {9}; +static const std::size_t AES_BLOCK_LENGTH = 16; +static const std::size_t SHA256_HASH_LENGTH = 32; +static const std::size_t SHA256_BLOCK_LENGTH = 64; +static const std::uint8_t HKDF_DEFAULT_SALT[32] = {}; + + +template<std::size_t block_size> +inline static void xor_block( + std::uint8_t * block, + std::uint8_t const * input +) { + for (std::size_t i = 0; i < block_size; ++i) { + block[i] ^= input[i]; + } +} + + +inline static void hmac_sha256_key( + std::uint8_t const * input_key, std::size_t input_key_length, + std::uint8_t * hmac_key +) { + std::memset(hmac_key, 0, SHA256_BLOCK_LENGTH); + if (input_key_length > SHA256_BLOCK_LENGTH) { + ::SHA256_CTX context; + ::sha256_init(&context); + ::sha256_update(&context, input_key, input_key_length); + ::sha256_final(&context, hmac_key); + } else { + std::memcpy(hmac_key, input_key, input_key_length); + } +} + + +inline void hmac_sha256_init( + ::SHA256_CTX * context, + std::uint8_t const * hmac_key +) { + std::uint8_t i_pad[SHA256_BLOCK_LENGTH]; + std::memcpy(i_pad, hmac_key, SHA256_BLOCK_LENGTH); + for (std::size_t i = 0; i < SHA256_BLOCK_LENGTH; ++i) { + i_pad[i] ^= 0x36; + } + ::sha256_init(context); + ::sha256_update(context, i_pad, SHA256_BLOCK_LENGTH); + axolotl::unset(i_pad); +} + + +inline void hmac_sha256_final( + ::SHA256_CTX * context, + std::uint8_t const * hmac_key, + std::uint8_t * output +) { + std::uint8_t o_pad[SHA256_BLOCK_LENGTH + SHA256_HASH_LENGTH]; + std::memcpy(o_pad, hmac_key, SHA256_BLOCK_LENGTH); + for (std::size_t i = 0; i < SHA256_BLOCK_LENGTH; ++i) { + o_pad[i] ^= 0x5C; + } + ::sha256_final(context, o_pad + SHA256_BLOCK_LENGTH); + ::SHA256_CTX final_context; + ::sha256_init(&final_context); + ::sha256_update(&final_context, o_pad, sizeof(o_pad)); + ::sha256_final(&final_context, output); + axolotl::unset(final_context); + axolotl::unset(o_pad); +} + +} // namespace + + +void axolotl::generate_key( + std::uint8_t const * random_32_bytes, + axolotl::Curve25519KeyPair & key_pair +) { + std::memcpy(key_pair.private_key, random_32_bytes, 32); + ::curve25519_donna( + key_pair.public_key, key_pair.private_key, CURVE25519_BASEPOINT + ); +} + + +void axolotl::curve25519_shared_secret( + axolotl::Curve25519KeyPair const & our_key, + axolotl::Curve25519PublicKey const & their_key, + std::uint8_t * output +) { + ::curve25519_donna(output, our_key.private_key, their_key.public_key); +} + + +std::size_t axolotl::aes_encrypt_cbc_length( + std::size_t input_length +) { + return input_length + AES_BLOCK_LENGTH - input_length % AES_BLOCK_LENGTH; +} + + +void axolotl::aes_encrypt_cbc( + axolotl::Aes256Key const & key, + axolotl::Aes256Iv const & iv, + std::uint8_t const * input, std::size_t input_length, + std::uint8_t * output +) { + std::uint32_t key_schedule[60]; + ::aes_key_setup(key.key, key_schedule, 256); + std::uint8_t input_block[AES_BLOCK_LENGTH]; + std::memcpy(input_block, iv.iv, AES_BLOCK_LENGTH); + while (input_length >= AES_BLOCK_LENGTH) { + xor_block<AES_BLOCK_LENGTH>(input_block, input); + ::aes_encrypt(input_block, output, key_schedule, 256); + std::memcpy(input_block, output, AES_BLOCK_LENGTH); + input += AES_BLOCK_LENGTH; + output += AES_BLOCK_LENGTH; + input_length -= AES_BLOCK_LENGTH; + } + std::size_t i = 0; + for (; i < input_length; ++i) { + input_block[i] ^= input[i]; + } + for (; i < AES_BLOCK_LENGTH; ++i) { + input_block[i] ^= AES_BLOCK_LENGTH - input_length; + } + ::aes_encrypt(input_block, output, key_schedule, 256); + axolotl::unset(key_schedule); + axolotl::unset(input_block); +} + + +std::size_t axolotl::aes_decrypt_cbc( + axolotl::Aes256Key const & key, + axolotl::Aes256Iv const & iv, + std::uint8_t const * input, std::size_t input_length, + std::uint8_t * output +) { + std::uint32_t key_schedule[60]; + ::aes_key_setup(key.key, key_schedule, 256); + for (std::size_t i = 0; i < input_length; i += AES_BLOCK_LENGTH) { + ::aes_decrypt(&input[i], &output[i], key_schedule, 256); + if (i == 0) { + xor_block<AES_BLOCK_LENGTH>(&output[i], iv.iv); + } else { + xor_block<AES_BLOCK_LENGTH>(&output[i], &input[i - AES_BLOCK_LENGTH]); + } + } + axolotl::unset(key_schedule); + std::size_t padding = output[input_length - 1]; + return (padding > input_length) ? std::size_t(-1) : (input_length - padding); +} + + +void axolotl::sha256( + std::uint8_t const * input, std::size_t input_length, + std::uint8_t * output +) { + ::SHA256_CTX context; + ::sha256_init(&context); + ::sha256_update(&context, input, input_length); + ::sha256_final(&context, output); + axolotl::unset(context); +} + +void axolotl::hmac_sha256( + std::uint8_t const * key, std::size_t key_length, + std::uint8_t const * input, std::size_t input_length, + std::uint8_t * output +) { + std::uint8_t hmac_key[SHA256_BLOCK_LENGTH]; + ::SHA256_CTX context; + hmac_sha256_key(key, key_length, hmac_key); + hmac_sha256_init(&context, hmac_key); + ::sha256_update(&context, input, input_length); + hmac_sha256_final(&context, hmac_key, output); + axolotl::unset(hmac_key); + axolotl::unset(context); +} + + +void axolotl::hkdf_sha256( + std::uint8_t const * input, std::size_t input_length, + std::uint8_t const * salt, std::size_t salt_length, + std::uint8_t const * info, std::size_t info_length, + std::uint8_t * output, std::size_t output_length +) { + ::SHA256_CTX context; + std::uint8_t hmac_key[SHA256_BLOCK_LENGTH]; + std::uint8_t step_result[SHA256_HASH_LENGTH]; + std::size_t bytes_remaining = output_length; + std::uint8_t iteration = 1; + if (!salt) { + salt = HKDF_DEFAULT_SALT; + salt_length = sizeof(HKDF_DEFAULT_SALT); + } + /* Expand */ + hmac_sha256_key(salt, salt_length, hmac_key); + hmac_sha256_init(&context, hmac_key); + ::sha256_update(&context, input, input_length); + hmac_sha256_final(&context, hmac_key, step_result); + hmac_sha256_key(step_result, SHA256_HASH_LENGTH, hmac_key); + + /* Extract */ + hmac_sha256_init(&context, hmac_key); + ::sha256_update(&context, info, info_length); + ::sha256_update(&context, &iteration, 1); + hmac_sha256_final(&context, hmac_key, step_result); + while (bytes_remaining > SHA256_HASH_LENGTH) { + std::memcpy(output, step_result, SHA256_HASH_LENGTH); + output += SHA256_HASH_LENGTH; + bytes_remaining -= SHA256_HASH_LENGTH; + iteration ++; + hmac_sha256_init(&context, hmac_key); + ::sha256_update(&context, step_result, SHA256_HASH_LENGTH); + ::sha256_update(&context, info, info_length); + ::sha256_update(&context, &iteration, 1); + hmac_sha256_final(&context, hmac_key, step_result); + } + std::memcpy(output, step_result, bytes_remaining); + axolotl::unset(context); + axolotl::unset(hmac_key); + axolotl::unset(step_result); +} diff --git a/src/ed25519.h b/src/ed25519.h deleted file mode 100644 index 8924659..0000000 --- a/src/ed25519.h +++ /dev/null @@ -1,38 +0,0 @@ -#ifndef ED25519_H -#define ED25519_H - -#include <stddef.h> - -#if defined(_WIN32) - #if defined(ED25519_BUILD_DLL) - #define ED25519_DECLSPEC __declspec(dllexport) - #elif defined(ED25519_DLL) - #define ED25519_DECLSPEC __declspec(dllimport) - #else - #define ED25519_DECLSPEC - #endif -#else - #define ED25519_DECLSPEC -#endif - - -#ifdef __cplusplus -extern "C" { -#endif - -#ifndef ED25519_NO_SEED -int ED25519_DECLSPEC ed25519_create_seed(unsigned char *seed); -#endif - -void ED25519_DECLSPEC ed25519_create_keypair(unsigned char *public_key, unsigned char *private_key, const unsigned char *seed); -void ED25519_DECLSPEC ed25519_sign(unsigned char *signature, const unsigned char *message, size_t message_len, const unsigned char *public_key, const unsigned char *private_key); -int ED25519_DECLSPEC ed25519_verify(const unsigned char *signature, const unsigned char *message, size_t message_len, const unsigned char *public_key); -void ED25519_DECLSPEC ed25519_add_scalar(unsigned char *public_key, unsigned char *private_key, const unsigned char *scalar); -void ED25519_DECLSPEC ed25519_key_exchange(unsigned char *shared_secret, const unsigned char *public_key, const unsigned char *private_key); - - -#ifdef __cplusplus -} -#endif - -#endif diff --git a/src/fe.c b/src/fe.c deleted file mode 100644 index 448e3e9..0000000 --- a/src/fe.c +++ /dev/null @@ -1,1491 +0,0 @@ -#include "fixedint.h" -#include "fe.h" - - -/* - helper functions -*/ -static uint64_t load_3(const unsigned char *in) { - uint64_t result; - - result = (uint64_t) in[0]; - result |= ((uint64_t) in[1]) << 8; - result |= ((uint64_t) in[2]) << 16; - - return result; -} - -static uint64_t load_4(const unsigned char *in) { - uint64_t result; - - result = (uint64_t) in[0]; - result |= ((uint64_t) in[1]) << 8; - result |= ((uint64_t) in[2]) << 16; - result |= ((uint64_t) in[3]) << 24; - - return result; -} - - - -/* - h = 0 -*/ - -void fe_0(fe h) { - h[0] = 0; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} - - - -/* - h = 1 -*/ - -void fe_1(fe h) { - h[0] = 1; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} - - - -/* - h = f + g - Can overlap h with f or g. - - Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - - Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_add(fe h, const fe f, const fe g) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t h0 = f0 + g0; - int32_t h1 = f1 + g1; - int32_t h2 = f2 + g2; - int32_t h3 = f3 + g3; - int32_t h4 = f4 + g4; - int32_t h5 = f5 + g5; - int32_t h6 = f6 + g6; - int32_t h7 = f7 + g7; - int32_t h8 = f8 + g8; - int32_t h9 = f9 + g9; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - - - -/* - Replace (f,g) with (g,g) if b == 1; - replace (f,g) with (f,g) if b == 0. - - Preconditions: b in {0,1}. -*/ - -void fe_cmov(fe f, const fe g, unsigned int b) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t x0 = f0 ^ g0; - int32_t x1 = f1 ^ g1; - int32_t x2 = f2 ^ g2; - int32_t x3 = f3 ^ g3; - int32_t x4 = f4 ^ g4; - int32_t x5 = f5 ^ g5; - int32_t x6 = f6 ^ g6; - int32_t x7 = f7 ^ g7; - int32_t x8 = f8 ^ g8; - int32_t x9 = f9 ^ g9; - - b = (unsigned int) (- (int) b); /* silence warning */ - x0 &= b; - x1 &= b; - x2 &= b; - x3 &= b; - x4 &= b; - x5 &= b; - x6 &= b; - x7 &= b; - x8 &= b; - x9 &= b; - - f[0] = f0 ^ x0; - f[1] = f1 ^ x1; - f[2] = f2 ^ x2; - f[3] = f3 ^ x3; - f[4] = f4 ^ x4; - f[5] = f5 ^ x5; - f[6] = f6 ^ x6; - f[7] = f7 ^ x7; - f[8] = f8 ^ x8; - f[9] = f9 ^ x9; -} - -/* - Replace (f,g) with (g,f) if b == 1; - replace (f,g) with (f,g) if b == 0. - - Preconditions: b in {0,1}. -*/ - -void fe_cswap(fe f,fe g,unsigned int b) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t x0 = f0 ^ g0; - int32_t x1 = f1 ^ g1; - int32_t x2 = f2 ^ g2; - int32_t x3 = f3 ^ g3; - int32_t x4 = f4 ^ g4; - int32_t x5 = f5 ^ g5; - int32_t x6 = f6 ^ g6; - int32_t x7 = f7 ^ g7; - int32_t x8 = f8 ^ g8; - int32_t x9 = f9 ^ g9; - b = -b; - x0 &= b; - x1 &= b; - x2 &= b; - x3 &= b; - x4 &= b; - x5 &= b; - x6 &= b; - x7 &= b; - x8 &= b; - x9 &= b; - f[0] = f0 ^ x0; - f[1] = f1 ^ x1; - f[2] = f2 ^ x2; - f[3] = f3 ^ x3; - f[4] = f4 ^ x4; - f[5] = f5 ^ x5; - f[6] = f6 ^ x6; - f[7] = f7 ^ x7; - f[8] = f8 ^ x8; - f[9] = f9 ^ x9; - g[0] = g0 ^ x0; - g[1] = g1 ^ x1; - g[2] = g2 ^ x2; - g[3] = g3 ^ x3; - g[4] = g4 ^ x4; - g[5] = g5 ^ x5; - g[6] = g6 ^ x6; - g[7] = g7 ^ x7; - g[8] = g8 ^ x8; - g[9] = g9 ^ x9; -} - - - -/* - h = f -*/ - -void fe_copy(fe h, const fe f) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - - h[0] = f0; - h[1] = f1; - h[2] = f2; - h[3] = f3; - h[4] = f4; - h[5] = f5; - h[6] = f6; - h[7] = f7; - h[8] = f8; - h[9] = f9; -} - - - -/* - Ignores top bit of h. -*/ - -void fe_frombytes(fe h, const unsigned char *s) { - int64_t h0 = load_4(s); - int64_t h1 = load_3(s + 4) << 6; - int64_t h2 = load_3(s + 7) << 5; - int64_t h3 = load_3(s + 10) << 3; - int64_t h4 = load_3(s + 13) << 2; - int64_t h5 = load_4(s + 16); - int64_t h6 = load_3(s + 20) << 7; - int64_t h7 = load_3(s + 23) << 5; - int64_t h8 = load_3(s + 26) << 4; - int64_t h9 = (load_3(s + 29) & 8388607) << 2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - carry9 = (h9 + (int64_t) (1 << 24)) >> 25; - h0 += carry9 * 19; - h9 -= carry9 << 25; - carry1 = (h1 + (int64_t) (1 << 24)) >> 25; - h2 += carry1; - h1 -= carry1 << 25; - carry3 = (h3 + (int64_t) (1 << 24)) >> 25; - h4 += carry3; - h3 -= carry3 << 25; - carry5 = (h5 + (int64_t) (1 << 24)) >> 25; - h6 += carry5; - h5 -= carry5 << 25; - carry7 = (h7 + (int64_t) (1 << 24)) >> 25; - h8 += carry7; - h7 -= carry7 << 25; - carry0 = (h0 + (int64_t) (1 << 25)) >> 26; - h1 += carry0; - h0 -= carry0 << 26; - carry2 = (h2 + (int64_t) (1 << 25)) >> 26; - h3 += carry2; - h2 -= carry2 << 26; - carry4 = (h4 + (int64_t) (1 << 25)) >> 26; - h5 += carry4; - h4 -= carry4 << 26; - carry6 = (h6 + (int64_t) (1 << 25)) >> 26; - h7 += carry6; - h6 -= carry6 << 26; - carry8 = (h8 + (int64_t) (1 << 25)) >> 26; - h9 += carry8; - h8 -= carry8 << 26; - - h[0] = (int32_t) h0; - h[1] = (int32_t) h1; - h[2] = (int32_t) h2; - h[3] = (int32_t) h3; - h[4] = (int32_t) h4; - h[5] = (int32_t) h5; - h[6] = (int32_t) h6; - h[7] = (int32_t) h7; - h[8] = (int32_t) h8; - h[9] = (int32_t) h9; -} - - - -void fe_invert(fe out, const fe z) { - fe t0; - fe t1; - fe t2; - fe t3; - int i; - - fe_sq(t0, z); - - for (i = 1; i < 1; ++i) { - fe_sq(t0, t0); - } - - fe_sq(t1, t0); - - for (i = 1; i < 2; ++i) { - fe_sq(t1, t1); - } - - fe_mul(t1, z, t1); - fe_mul(t0, t0, t1); - fe_sq(t2, t0); - - for (i = 1; i < 1; ++i) { - fe_sq(t2, t2); - } - - fe_mul(t1, t1, t2); - fe_sq(t2, t1); - - for (i = 1; i < 5; ++i) { - fe_sq(t2, t2); - } - - fe_mul(t1, t2, t1); - fe_sq(t2, t1); - - for (i = 1; i < 10; ++i) { - fe_sq(t2, t2); - } - - fe_mul(t2, t2, t1); - fe_sq(t3, t2); - - for (i = 1; i < 20; ++i) { - fe_sq(t3, t3); - } - - fe_mul(t2, t3, t2); - fe_sq(t2, t2); - - for (i = 1; i < 10; ++i) { - fe_sq(t2, t2); - } - - fe_mul(t1, t2, t1); - fe_sq(t2, t1); - - for (i = 1; i < 50; ++i) { - fe_sq(t2, t2); - } - - fe_mul(t2, t2, t1); - fe_sq(t3, t2); - - for (i = 1; i < 100; ++i) { - fe_sq(t3, t3); - } - - fe_mul(t2, t3, t2); - fe_sq(t2, t2); - - for (i = 1; i < 50; ++i) { - fe_sq(t2, t2); - } - - fe_mul(t1, t2, t1); - fe_sq(t1, t1); - - for (i = 1; i < 5; ++i) { - fe_sq(t1, t1); - } - - fe_mul(out, t1, t0); -} - - - -/* - return 1 if f is in {1,3,5,...,q-2} - return 0 if f is in {0,2,4,...,q-1} - - Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -int fe_isnegative(const fe f) { - unsigned char s[32]; - - fe_tobytes(s, f); - - return s[0] & 1; -} - - - -/* - return 1 if f == 0 - return 0 if f != 0 - - Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -int fe_isnonzero(const fe f) { - unsigned char s[32]; - unsigned char r; - - fe_tobytes(s, f); - - r = s[0]; - #define F(i) r |= s[i] - F(1); - F(2); - F(3); - F(4); - F(5); - F(6); - F(7); - F(8); - F(9); - F(10); - F(11); - F(12); - F(13); - F(14); - F(15); - F(16); - F(17); - F(18); - F(19); - F(20); - F(21); - F(22); - F(23); - F(24); - F(25); - F(26); - F(27); - F(28); - F(29); - F(30); - F(31); - #undef F - - return r != 0; -} - - - -/* - h = f * g - Can overlap h with f or g. - - Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - - Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. - */ - - /* - Notes on implementation strategy: - - Using schoolbook multiplication. - Karatsuba would save a little in some cost models. - - Most multiplications by 2 and 19 are 32-bit precomputations; - cheaper than 64-bit postcomputations. - - There is one remaining multiplication by 19 in the carry chain; - one *19 precomputation can be merged into this, - but the resulting data flow is considerably less clean. - - There are 12 carries below. - 10 of them are 2-way parallelizable and vectorizable. - Can get away with 11 carries, but then data flow is much deeper. - - With tighter constraints on inputs can squeeze carries into int32. -*/ - -void fe_mul(fe h, const fe f, const fe g) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */ - int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ - int32_t g3_19 = 19 * g3; - int32_t g4_19 = 19 * g4; - int32_t g5_19 = 19 * g5; - int32_t g6_19 = 19 * g6; - int32_t g7_19 = 19 * g7; - int32_t g8_19 = 19 * g8; - int32_t g9_19 = 19 * g9; - int32_t f1_2 = 2 * f1; - int32_t f3_2 = 2 * f3; - int32_t f5_2 = 2 * f5; - int32_t f7_2 = 2 * f7; - int32_t f9_2 = 2 * f9; - int64_t f0g0 = f0 * (int64_t) g0; - int64_t f0g1 = f0 * (int64_t) g1; - int64_t f0g2 = f0 * (int64_t) g2; - int64_t f0g3 = f0 * (int64_t) g3; - int64_t f0g4 = f0 * (int64_t) g4; - int64_t f0g5 = f0 * (int64_t) g5; - int64_t f0g6 = f0 * (int64_t) g6; - int64_t f0g7 = f0 * (int64_t) g7; - int64_t f0g8 = f0 * (int64_t) g8; - int64_t f0g9 = f0 * (int64_t) g9; - int64_t f1g0 = f1 * (int64_t) g0; - int64_t f1g1_2 = f1_2 * (int64_t) g1; - int64_t f1g2 = f1 * (int64_t) g2; - int64_t f1g3_2 = f1_2 * (int64_t) g3; - int64_t f1g4 = f1 * (int64_t) g4; - int64_t f1g5_2 = f1_2 * (int64_t) g5; - int64_t f1g6 = f1 * (int64_t) g6; - int64_t f1g7_2 = f1_2 * (int64_t) g7; - int64_t f1g8 = f1 * (int64_t) g8; - int64_t f1g9_38 = f1_2 * (int64_t) g9_19; - int64_t f2g0 = f2 * (int64_t) g0; - int64_t f2g1 = f2 * (int64_t) g1; - int64_t f2g2 = f2 * (int64_t) g2; - int64_t f2g3 = f2 * (int64_t) g3; - int64_t f2g4 = f2 * (int64_t) g4; - int64_t f2g5 = f2 * (int64_t) g5; - int64_t f2g6 = f2 * (int64_t) g6; - int64_t f2g7 = f2 * (int64_t) g7; - int64_t f2g8_19 = f2 * (int64_t) g8_19; - int64_t f2g9_19 = f2 * (int64_t) g9_19; - int64_t f3g0 = f3 * (int64_t) g0; - int64_t f3g1_2 = f3_2 * (int64_t) g1; - int64_t f3g2 = f3 * (int64_t) g2; - int64_t f3g3_2 = f3_2 * (int64_t) g3; - int64_t f3g4 = f3 * (int64_t) g4; - int64_t f3g5_2 = f3_2 * (int64_t) g5; - int64_t f3g6 = f3 * (int64_t) g6; - int64_t f3g7_38 = f3_2 * (int64_t) g7_19; - int64_t f3g8_19 = f3 * (int64_t) g8_19; - int64_t f3g9_38 = f3_2 * (int64_t) g9_19; - int64_t f4g0 = f4 * (int64_t) g0; - int64_t f4g1 = f4 * (int64_t) g1; - int64_t f4g2 = f4 * (int64_t) g2; - int64_t f4g3 = f4 * (int64_t) g3; - int64_t f4g4 = f4 * (int64_t) g4; - int64_t f4g5 = f4 * (int64_t) g5; - int64_t f4g6_19 = f4 * (int64_t) g6_19; - int64_t f4g7_19 = f4 * (int64_t) g7_19; - int64_t f4g8_19 = f4 * (int64_t) g8_19; - int64_t f4g9_19 = f4 * (int64_t) g9_19; - int64_t f5g0 = f5 * (int64_t) g0; - int64_t f5g1_2 = f5_2 * (int64_t) g1; - int64_t f5g2 = f5 * (int64_t) g2; - int64_t f5g3_2 = f5_2 * (int64_t) g3; - int64_t f5g4 = f5 * (int64_t) g4; - int64_t f5g5_38 = f5_2 * (int64_t) g5_19; - int64_t f5g6_19 = f5 * (int64_t) g6_19; - int64_t f5g7_38 = f5_2 * (int64_t) g7_19; - int64_t f5g8_19 = f5 * (int64_t) g8_19; - int64_t f5g9_38 = f5_2 * (int64_t) g9_19; - int64_t f6g0 = f6 * (int64_t) g0; - int64_t f6g1 = f6 * (int64_t) g1; - int64_t f6g2 = f6 * (int64_t) g2; - int64_t f6g3 = f6 * (int64_t) g3; - int64_t f6g4_19 = f6 * (int64_t) g4_19; - int64_t f6g5_19 = f6 * (int64_t) g5_19; - int64_t f6g6_19 = f6 * (int64_t) g6_19; - int64_t f6g7_19 = f6 * (int64_t) g7_19; - int64_t f6g8_19 = f6 * (int64_t) g8_19; - int64_t f6g9_19 = f6 * (int64_t) g9_19; - int64_t f7g0 = f7 * (int64_t) g0; - int64_t f7g1_2 = f7_2 * (int64_t) g1; - int64_t f7g2 = f7 * (int64_t) g2; - int64_t f7g3_38 = f7_2 * (int64_t) g3_19; - int64_t f7g4_19 = f7 * (int64_t) g4_19; - int64_t f7g5_38 = f7_2 * (int64_t) g5_19; - int64_t f7g6_19 = f7 * (int64_t) g6_19; - int64_t f7g7_38 = f7_2 * (int64_t) g7_19; - int64_t f7g8_19 = f7 * (int64_t) g8_19; - int64_t f7g9_38 = f7_2 * (int64_t) g9_19; - int64_t f8g0 = f8 * (int64_t) g0; - int64_t f8g1 = f8 * (int64_t) g1; - int64_t f8g2_19 = f8 * (int64_t) g2_19; - int64_t f8g3_19 = f8 * (int64_t) g3_19; - int64_t f8g4_19 = f8 * (int64_t) g4_19; - int64_t f8g5_19 = f8 * (int64_t) g5_19; - int64_t f8g6_19 = f8 * (int64_t) g6_19; - int64_t f8g7_19 = f8 * (int64_t) g7_19; - int64_t f8g8_19 = f8 * (int64_t) g8_19; - int64_t f8g9_19 = f8 * (int64_t) g9_19; - int64_t f9g0 = f9 * (int64_t) g0; - int64_t f9g1_38 = f9_2 * (int64_t) g1_19; - int64_t f9g2_19 = f9 * (int64_t) g2_19; - int64_t f9g3_38 = f9_2 * (int64_t) g3_19; - int64_t f9g4_19 = f9 * (int64_t) g4_19; - int64_t f9g5_38 = f9_2 * (int64_t) g5_19; - int64_t f9g6_19 = f9 * (int64_t) g6_19; - int64_t f9g7_38 = f9_2 * (int64_t) g7_19; - int64_t f9g8_19 = f9 * (int64_t) g8_19; - int64_t f9g9_38 = f9_2 * (int64_t) g9_19; - int64_t h0 = f0g0 + f1g9_38 + f2g8_19 + f3g7_38 + f4g6_19 + f5g5_38 + f6g4_19 + f7g3_38 + f8g2_19 + f9g1_38; - int64_t h1 = f0g1 + f1g0 + f2g9_19 + f3g8_19 + f4g7_19 + f5g6_19 + f6g5_19 + f7g4_19 + f8g3_19 + f9g2_19; - int64_t h2 = f0g2 + f1g1_2 + f2g0 + f3g9_38 + f4g8_19 + f5g7_38 + f6g6_19 + f7g5_38 + f8g4_19 + f9g3_38; - int64_t h3 = f0g3 + f1g2 + f2g1 + f3g0 + f4g9_19 + f5g8_19 + f6g7_19 + f7g6_19 + f8g5_19 + f9g4_19; - int64_t h4 = f0g4 + f1g3_2 + f2g2 + f3g1_2 + f4g0 + f5g9_38 + f6g8_19 + f7g7_38 + f8g6_19 + f9g5_38; - int64_t h5 = f0g5 + f1g4 + f2g3 + f3g2 + f4g1 + f5g0 + f6g9_19 + f7g8_19 + f8g7_19 + f9g6_19; - int64_t h6 = f0g6 + f1g5_2 + f2g4 + f3g3_2 + f4g2 + f5g1_2 + f6g0 + f7g9_38 + f8g8_19 + f9g7_38; - int64_t h7 = f0g7 + f1g6 + f2g5 + f3g4 + f4g3 + f5g2 + f6g1 + f7g0 + f8g9_19 + f9g8_19; - int64_t h8 = f0g8 + f1g7_2 + f2g6 + f3g5_2 + f4g4 + f5g3_2 + f6g2 + f7g1_2 + f8g0 + f9g9_38; - int64_t h9 = f0g9 + f1g8 + f2g7 + f3g6 + f4g5 + f5g4 + f6g3 + f7g2 + f8g1 + f9g0 ; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - carry0 = (h0 + (int64_t) (1 << 25)) >> 26; - h1 += carry0; - h0 -= carry0 << 26; - carry4 = (h4 + (int64_t) (1 << 25)) >> 26; - h5 += carry4; - h4 -= carry4 << 26; - - carry1 = (h1 + (int64_t) (1 << 24)) >> 25; - h2 += carry1; - h1 -= carry1 << 25; - carry5 = (h5 + (int64_t) (1 << 24)) >> 25; - h6 += carry5; - h5 -= carry5 << 25; - - carry2 = (h2 + (int64_t) (1 << 25)) >> 26; - h3 += carry2; - h2 -= carry2 << 26; - carry6 = (h6 + (int64_t) (1 << 25)) >> 26; - h7 += carry6; - h6 -= carry6 << 26; - - carry3 = (h3 + (int64_t) (1 << 24)) >> 25; - h4 += carry3; - h3 -= carry3 << 25; - carry7 = (h7 + (int64_t) (1 << 24)) >> 25; - h8 += carry7; - h7 -= carry7 << 25; - - carry4 = (h4 + (int64_t) (1 << 25)) >> 26; - h5 += carry4; - h4 -= carry4 << 26; - carry8 = (h8 + (int64_t) (1 << 25)) >> 26; - h9 += carry8; - h8 -= carry8 << 26; - - carry9 = (h9 + (int64_t) (1 << 24)) >> 25; - h0 += carry9 * 19; - h9 -= carry9 << 25; - - carry0 = (h0 + (int64_t) (1 << 25)) >> 26; - h1 += carry0; - h0 -= carry0 << 26; - - h[0] = (int32_t) h0; - h[1] = (int32_t) h1; - h[2] = (int32_t) h2; - h[3] = (int32_t) h3; - h[4] = (int32_t) h4; - h[5] = (int32_t) h5; - h[6] = (int32_t) h6; - h[7] = (int32_t) h7; - h[8] = (int32_t) h8; - h[9] = (int32_t) h9; -} - - -/* -h = f * 121666 -Can overlap h with f. - -Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. - -Postconditions: - |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. -*/ - -void fe_mul121666(fe h, fe f) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int64_t h0 = f0 * (int64_t) 121666; - int64_t h1 = f1 * (int64_t) 121666; - int64_t h2 = f2 * (int64_t) 121666; - int64_t h3 = f3 * (int64_t) 121666; - int64_t h4 = f4 * (int64_t) 121666; - int64_t h5 = f5 * (int64_t) 121666; - int64_t h6 = f6 * (int64_t) 121666; - int64_t h7 = f7 * (int64_t) 121666; - int64_t h8 = f8 * (int64_t) 121666; - int64_t h9 = f9 * (int64_t) 121666; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - - -/* -h = -f - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. -*/ - -void fe_neg(fe h, const fe f) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t h0 = -f0; - int32_t h1 = -f1; - int32_t h2 = -f2; - int32_t h3 = -f3; - int32_t h4 = -f4; - int32_t h5 = -f5; - int32_t h6 = -f6; - int32_t h7 = -f7; - int32_t h8 = -f8; - int32_t h9 = -f9; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - - -void fe_pow22523(fe out, const fe z) { - fe t0; - fe t1; - fe t2; - int i; - fe_sq(t0, z); - - for (i = 1; i < 1; ++i) { - fe_sq(t0, t0); - } - - fe_sq(t1, t0); - - for (i = 1; i < 2; ++i) { - fe_sq(t1, t1); - } - - fe_mul(t1, z, t1); - fe_mul(t0, t0, t1); - fe_sq(t0, t0); - - for (i = 1; i < 1; ++i) { - fe_sq(t0, t0); - } - - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - - for (i = 1; i < 5; ++i) { - fe_sq(t1, t1); - } - - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - - for (i = 1; i < 10; ++i) { - fe_sq(t1, t1); - } - - fe_mul(t1, t1, t0); - fe_sq(t2, t1); - - for (i = 1; i < 20; ++i) { - fe_sq(t2, t2); - } - - fe_mul(t1, t2, t1); - fe_sq(t1, t1); - - for (i = 1; i < 10; ++i) { - fe_sq(t1, t1); - } - - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - - for (i = 1; i < 50; ++i) { - fe_sq(t1, t1); - } - - fe_mul(t1, t1, t0); - fe_sq(t2, t1); - - for (i = 1; i < 100; ++i) { - fe_sq(t2, t2); - } - - fe_mul(t1, t2, t1); - fe_sq(t1, t1); - - for (i = 1; i < 50; ++i) { - fe_sq(t1, t1); - } - - fe_mul(t0, t1, t0); - fe_sq(t0, t0); - - for (i = 1; i < 2; ++i) { - fe_sq(t0, t0); - } - - fe_mul(out, t0, z); - return; -} - - -/* -h = f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq(fe h, const fe f) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t f0_2 = 2 * f0; - int32_t f1_2 = 2 * f1; - int32_t f2_2 = 2 * f2; - int32_t f3_2 = 2 * f3; - int32_t f4_2 = 2 * f4; - int32_t f5_2 = 2 * f5; - int32_t f6_2 = 2 * f6; - int32_t f7_2 = 2 * f7; - int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ - int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ - int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ - int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ - int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ - int64_t f0f0 = f0 * (int64_t) f0; - int64_t f0f1_2 = f0_2 * (int64_t) f1; - int64_t f0f2_2 = f0_2 * (int64_t) f2; - int64_t f0f3_2 = f0_2 * (int64_t) f3; - int64_t f0f4_2 = f0_2 * (int64_t) f4; - int64_t f0f5_2 = f0_2 * (int64_t) f5; - int64_t f0f6_2 = f0_2 * (int64_t) f6; - int64_t f0f7_2 = f0_2 * (int64_t) f7; - int64_t f0f8_2 = f0_2 * (int64_t) f8; - int64_t f0f9_2 = f0_2 * (int64_t) f9; - int64_t f1f1_2 = f1_2 * (int64_t) f1; - int64_t f1f2_2 = f1_2 * (int64_t) f2; - int64_t f1f3_4 = f1_2 * (int64_t) f3_2; - int64_t f1f4_2 = f1_2 * (int64_t) f4; - int64_t f1f5_4 = f1_2 * (int64_t) f5_2; - int64_t f1f6_2 = f1_2 * (int64_t) f6; - int64_t f1f7_4 = f1_2 * (int64_t) f7_2; - int64_t f1f8_2 = f1_2 * (int64_t) f8; - int64_t f1f9_76 = f1_2 * (int64_t) f9_38; - int64_t f2f2 = f2 * (int64_t) f2; - int64_t f2f3_2 = f2_2 * (int64_t) f3; - int64_t f2f4_2 = f2_2 * (int64_t) f4; - int64_t f2f5_2 = f2_2 * (int64_t) f5; - int64_t f2f6_2 = f2_2 * (int64_t) f6; - int64_t f2f7_2 = f2_2 * (int64_t) f7; - int64_t f2f8_38 = f2_2 * (int64_t) f8_19; - int64_t f2f9_38 = f2 * (int64_t) f9_38; - int64_t f3f3_2 = f3_2 * (int64_t) f3; - int64_t f3f4_2 = f3_2 * (int64_t) f4; - int64_t f3f5_4 = f3_2 * (int64_t) f5_2; - int64_t f3f6_2 = f3_2 * (int64_t) f6; - int64_t f3f7_76 = f3_2 * (int64_t) f7_38; - int64_t f3f8_38 = f3_2 * (int64_t) f8_19; - int64_t f3f9_76 = f3_2 * (int64_t) f9_38; - int64_t f4f4 = f4 * (int64_t) f4; - int64_t f4f5_2 = f4_2 * (int64_t) f5; - int64_t f4f6_38 = f4_2 * (int64_t) f6_19; - int64_t f4f7_38 = f4 * (int64_t) f7_38; - int64_t f4f8_38 = f4_2 * (int64_t) f8_19; - int64_t f4f9_38 = f4 * (int64_t) f9_38; - int64_t f5f5_38 = f5 * (int64_t) f5_38; - int64_t f5f6_38 = f5_2 * (int64_t) f6_19; - int64_t f5f7_76 = f5_2 * (int64_t) f7_38; - int64_t f5f8_38 = f5_2 * (int64_t) f8_19; - int64_t f5f9_76 = f5_2 * (int64_t) f9_38; - int64_t f6f6_19 = f6 * (int64_t) f6_19; - int64_t f6f7_38 = f6 * (int64_t) f7_38; - int64_t f6f8_38 = f6_2 * (int64_t) f8_19; - int64_t f6f9_38 = f6 * (int64_t) f9_38; - int64_t f7f7_38 = f7 * (int64_t) f7_38; - int64_t f7f8_38 = f7_2 * (int64_t) f8_19; - int64_t f7f9_76 = f7_2 * (int64_t) f9_38; - int64_t f8f8_19 = f8 * (int64_t) f8_19; - int64_t f8f9_38 = f8 * (int64_t) f9_38; - int64_t f9f9_38 = f9 * (int64_t) f9_38; - int64_t h0 = f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38; - int64_t h1 = f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38; - int64_t h2 = f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19; - int64_t h3 = f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38; - int64_t h4 = f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38; - int64_t h5 = f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38; - int64_t h6 = f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19; - int64_t h7 = f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38; - int64_t h8 = f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38; - int64_t h9 = f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - carry0 = (h0 + (int64_t) (1 << 25)) >> 26; - h1 += carry0; - h0 -= carry0 << 26; - carry4 = (h4 + (int64_t) (1 << 25)) >> 26; - h5 += carry4; - h4 -= carry4 << 26; - carry1 = (h1 + (int64_t) (1 << 24)) >> 25; - h2 += carry1; - h1 -= carry1 << 25; - carry5 = (h5 + (int64_t) (1 << 24)) >> 25; - h6 += carry5; - h5 -= carry5 << 25; - carry2 = (h2 + (int64_t) (1 << 25)) >> 26; - h3 += carry2; - h2 -= carry2 << 26; - carry6 = (h6 + (int64_t) (1 << 25)) >> 26; - h7 += carry6; - h6 -= carry6 << 26; - carry3 = (h3 + (int64_t) (1 << 24)) >> 25; - h4 += carry3; - h3 -= carry3 << 25; - carry7 = (h7 + (int64_t) (1 << 24)) >> 25; - h8 += carry7; - h7 -= carry7 << 25; - carry4 = (h4 + (int64_t) (1 << 25)) >> 26; - h5 += carry4; - h4 -= carry4 << 26; - carry8 = (h8 + (int64_t) (1 << 25)) >> 26; - h9 += carry8; - h8 -= carry8 << 26; - carry9 = (h9 + (int64_t) (1 << 24)) >> 25; - h0 += carry9 * 19; - h9 -= carry9 << 25; - carry0 = (h0 + (int64_t) (1 << 25)) >> 26; - h1 += carry0; - h0 -= carry0 << 26; - h[0] = (int32_t) h0; - h[1] = (int32_t) h1; - h[2] = (int32_t) h2; - h[3] = (int32_t) h3; - h[4] = (int32_t) h4; - h[5] = (int32_t) h5; - h[6] = (int32_t) h6; - h[7] = (int32_t) h7; - h[8] = (int32_t) h8; - h[9] = (int32_t) h9; -} - - -/* -h = 2 * f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq2(fe h, const fe f) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t f0_2 = 2 * f0; - int32_t f1_2 = 2 * f1; - int32_t f2_2 = 2 * f2; - int32_t f3_2 = 2 * f3; - int32_t f4_2 = 2 * f4; - int32_t f5_2 = 2 * f5; - int32_t f6_2 = 2 * f6; - int32_t f7_2 = 2 * f7; - int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ - int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ - int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ - int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ - int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ - int64_t f0f0 = f0 * (int64_t) f0; - int64_t f0f1_2 = f0_2 * (int64_t) f1; - int64_t f0f2_2 = f0_2 * (int64_t) f2; - int64_t f0f3_2 = f0_2 * (int64_t) f3; - int64_t f0f4_2 = f0_2 * (int64_t) f4; - int64_t f0f5_2 = f0_2 * (int64_t) f5; - int64_t f0f6_2 = f0_2 * (int64_t) f6; - int64_t f0f7_2 = f0_2 * (int64_t) f7; - int64_t f0f8_2 = f0_2 * (int64_t) f8; - int64_t f0f9_2 = f0_2 * (int64_t) f9; - int64_t f1f1_2 = f1_2 * (int64_t) f1; - int64_t f1f2_2 = f1_2 * (int64_t) f2; - int64_t f1f3_4 = f1_2 * (int64_t) f3_2; - int64_t f1f4_2 = f1_2 * (int64_t) f4; - int64_t f1f5_4 = f1_2 * (int64_t) f5_2; - int64_t f1f6_2 = f1_2 * (int64_t) f6; - int64_t f1f7_4 = f1_2 * (int64_t) f7_2; - int64_t f1f8_2 = f1_2 * (int64_t) f8; - int64_t f1f9_76 = f1_2 * (int64_t) f9_38; - int64_t f2f2 = f2 * (int64_t) f2; - int64_t f2f3_2 = f2_2 * (int64_t) f3; - int64_t f2f4_2 = f2_2 * (int64_t) f4; - int64_t f2f5_2 = f2_2 * (int64_t) f5; - int64_t f2f6_2 = f2_2 * (int64_t) f6; - int64_t f2f7_2 = f2_2 * (int64_t) f7; - int64_t f2f8_38 = f2_2 * (int64_t) f8_19; - int64_t f2f9_38 = f2 * (int64_t) f9_38; - int64_t f3f3_2 = f3_2 * (int64_t) f3; - int64_t f3f4_2 = f3_2 * (int64_t) f4; - int64_t f3f5_4 = f3_2 * (int64_t) f5_2; - int64_t f3f6_2 = f3_2 * (int64_t) f6; - int64_t f3f7_76 = f3_2 * (int64_t) f7_38; - int64_t f3f8_38 = f3_2 * (int64_t) f8_19; - int64_t f3f9_76 = f3_2 * (int64_t) f9_38; - int64_t f4f4 = f4 * (int64_t) f4; - int64_t f4f5_2 = f4_2 * (int64_t) f5; - int64_t f4f6_38 = f4_2 * (int64_t) f6_19; - int64_t f4f7_38 = f4 * (int64_t) f7_38; - int64_t f4f8_38 = f4_2 * (int64_t) f8_19; - int64_t f4f9_38 = f4 * (int64_t) f9_38; - int64_t f5f5_38 = f5 * (int64_t) f5_38; - int64_t f5f6_38 = f5_2 * (int64_t) f6_19; - int64_t f5f7_76 = f5_2 * (int64_t) f7_38; - int64_t f5f8_38 = f5_2 * (int64_t) f8_19; - int64_t f5f9_76 = f5_2 * (int64_t) f9_38; - int64_t f6f6_19 = f6 * (int64_t) f6_19; - int64_t f6f7_38 = f6 * (int64_t) f7_38; - int64_t f6f8_38 = f6_2 * (int64_t) f8_19; - int64_t f6f9_38 = f6 * (int64_t) f9_38; - int64_t f7f7_38 = f7 * (int64_t) f7_38; - int64_t f7f8_38 = f7_2 * (int64_t) f8_19; - int64_t f7f9_76 = f7_2 * (int64_t) f9_38; - int64_t f8f8_19 = f8 * (int64_t) f8_19; - int64_t f8f9_38 = f8 * (int64_t) f9_38; - int64_t f9f9_38 = f9 * (int64_t) f9_38; - int64_t h0 = f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38; - int64_t h1 = f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38; - int64_t h2 = f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19; - int64_t h3 = f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38; - int64_t h4 = f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38; - int64_t h5 = f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38; - int64_t h6 = f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19; - int64_t h7 = f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38; - int64_t h8 = f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38; - int64_t h9 = f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - h0 += h0; - h1 += h1; - h2 += h2; - h3 += h3; - h4 += h4; - h5 += h5; - h6 += h6; - h7 += h7; - h8 += h8; - h9 += h9; - carry0 = (h0 + (int64_t) (1 << 25)) >> 26; - h1 += carry0; - h0 -= carry0 << 26; - carry4 = (h4 + (int64_t) (1 << 25)) >> 26; - h5 += carry4; - h4 -= carry4 << 26; - carry1 = (h1 + (int64_t) (1 << 24)) >> 25; - h2 += carry1; - h1 -= carry1 << 25; - carry5 = (h5 + (int64_t) (1 << 24)) >> 25; - h6 += carry5; - h5 -= carry5 << 25; - carry2 = (h2 + (int64_t) (1 << 25)) >> 26; - h3 += carry2; - h2 -= carry2 << 26; - carry6 = (h6 + (int64_t) (1 << 25)) >> 26; - h7 += carry6; - h6 -= carry6 << 26; - carry3 = (h3 + (int64_t) (1 << 24)) >> 25; - h4 += carry3; - h3 -= carry3 << 25; - carry7 = (h7 + (int64_t) (1 << 24)) >> 25; - h8 += carry7; - h7 -= carry7 << 25; - carry4 = (h4 + (int64_t) (1 << 25)) >> 26; - h5 += carry4; - h4 -= carry4 << 26; - carry8 = (h8 + (int64_t) (1 << 25)) >> 26; - h9 += carry8; - h8 -= carry8 << 26; - carry9 = (h9 + (int64_t) (1 << 24)) >> 25; - h0 += carry9 * 19; - h9 -= carry9 << 25; - carry0 = (h0 + (int64_t) (1 << 25)) >> 26; - h1 += carry0; - h0 -= carry0 << 26; - h[0] = (int32_t) h0; - h[1] = (int32_t) h1; - h[2] = (int32_t) h2; - h[3] = (int32_t) h3; - h[4] = (int32_t) h4; - h[5] = (int32_t) h5; - h[6] = (int32_t) h6; - h[7] = (int32_t) h7; - h[8] = (int32_t) h8; - h[9] = (int32_t) h9; -} - - -/* -h = f - g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_sub(fe h, const fe f, const fe g) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t h0 = f0 - g0; - int32_t h1 = f1 - g1; - int32_t h2 = f2 - g2; - int32_t h3 = f3 - g3; - int32_t h4 = f4 - g4; - int32_t h5 = f5 - g5; - int32_t h6 = f6 - g6; - int32_t h7 = f7 - g7; - int32_t h8 = f8 - g8; - int32_t h9 = f9 - g9; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - - - -/* -Preconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. - -Write p=2^255-19; q=floor(h/p). -Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). - -Proof: - Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. - Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. - - Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). - Then 0<y<1. - - Write r=h-pq. - Have 0<=r<=p-1=2^255-20. - Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1. - - Write x=r+19(2^-255)r+y. - Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q. - - Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1)) - so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q. -*/ - -void fe_tobytes(unsigned char *s, const fe h) { - int32_t h0 = h[0]; - int32_t h1 = h[1]; - int32_t h2 = h[2]; - int32_t h3 = h[3]; - int32_t h4 = h[4]; - int32_t h5 = h[5]; - int32_t h6 = h[6]; - int32_t h7 = h[7]; - int32_t h8 = h[8]; - int32_t h9 = h[9]; - int32_t q; - int32_t carry0; - int32_t carry1; - int32_t carry2; - int32_t carry3; - int32_t carry4; - int32_t carry5; - int32_t carry6; - int32_t carry7; - int32_t carry8; - int32_t carry9; - q = (19 * h9 + (((int32_t) 1) << 24)) >> 25; - q = (h0 + q) >> 26; - q = (h1 + q) >> 25; - q = (h2 + q) >> 26; - q = (h3 + q) >> 25; - q = (h4 + q) >> 26; - q = (h5 + q) >> 25; - q = (h6 + q) >> 26; - q = (h7 + q) >> 25; - q = (h8 + q) >> 26; - q = (h9 + q) >> 25; - /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */ - h0 += 19 * q; - /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */ - carry0 = h0 >> 26; - h1 += carry0; - h0 -= carry0 << 26; - carry1 = h1 >> 25; - h2 += carry1; - h1 -= carry1 << 25; - carry2 = h2 >> 26; - h3 += carry2; - h2 -= carry2 << 26; - carry3 = h3 >> 25; - h4 += carry3; - h3 -= carry3 << 25; - carry4 = h4 >> 26; - h5 += carry4; - h4 -= carry4 << 26; - carry5 = h5 >> 25; - h6 += carry5; - h5 -= carry5 << 25; - carry6 = h6 >> 26; - h7 += carry6; - h6 -= carry6 << 26; - carry7 = h7 >> 25; - h8 += carry7; - h7 -= carry7 << 25; - carry8 = h8 >> 26; - h9 += carry8; - h8 -= carry8 << 26; - carry9 = h9 >> 25; - h9 -= carry9 << 25; - - /* h10 = carry9 */ - /* - Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. - Have h0+...+2^230 h9 between 0 and 2^255-1; - evidently 2^255 h10-2^255 q = 0. - Goal: Output h0+...+2^230 h9. - */ - s[0] = (unsigned char) (h0 >> 0); - s[1] = (unsigned char) (h0 >> 8); - s[2] = (unsigned char) (h0 >> 16); - s[3] = (unsigned char) ((h0 >> 24) | (h1 << 2)); - s[4] = (unsigned char) (h1 >> 6); - s[5] = (unsigned char) (h1 >> 14); - s[6] = (unsigned char) ((h1 >> 22) | (h2 << 3)); - s[7] = (unsigned char) (h2 >> 5); - s[8] = (unsigned char) (h2 >> 13); - s[9] = (unsigned char) ((h2 >> 21) | (h3 << 5)); - s[10] = (unsigned char) (h3 >> 3); - s[11] = (unsigned char) (h3 >> 11); - s[12] = (unsigned char) ((h3 >> 19) | (h4 << 6)); - s[13] = (unsigned char) (h4 >> 2); - s[14] = (unsigned char) (h4 >> 10); - s[15] = (unsigned char) (h4 >> 18); - s[16] = (unsigned char) (h5 >> 0); - s[17] = (unsigned char) (h5 >> 8); - s[18] = (unsigned char) (h5 >> 16); - s[19] = (unsigned char) ((h5 >> 24) | (h6 << 1)); - s[20] = (unsigned char) (h6 >> 7); - s[21] = (unsigned char) (h6 >> 15); - s[22] = (unsigned char) ((h6 >> 23) | (h7 << 3)); - s[23] = (unsigned char) (h7 >> 5); - s[24] = (unsigned char) (h7 >> 13); - s[25] = (unsigned char) ((h7 >> 21) | (h8 << 4)); - s[26] = (unsigned char) (h8 >> 4); - s[27] = (unsigned char) (h8 >> 12); - s[28] = (unsigned char) ((h8 >> 20) | (h9 << 6)); - s[29] = (unsigned char) (h9 >> 2); - s[30] = (unsigned char) (h9 >> 10); - s[31] = (unsigned char) (h9 >> 18); -} diff --git a/src/fe.h b/src/fe.h deleted file mode 100644 index b4b62d2..0000000 --- a/src/fe.h +++ /dev/null @@ -1,41 +0,0 @@ -#ifndef FE_H -#define FE_H - -#include "fixedint.h" - - -/* - fe means field element. - Here the field is \Z/(2^255-19). - An element t, entries t[0]...t[9], represents the integer - t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. - Bounds on each t[i] vary depending on context. -*/ - - -typedef int32_t fe[10]; - - -void fe_0(fe h); -void fe_1(fe h); - -void fe_frombytes(fe h, const unsigned char *s); -void fe_tobytes(unsigned char *s, const fe h); - -void fe_copy(fe h, const fe f); -int fe_isnegative(const fe f); -int fe_isnonzero(const fe f); -void fe_cmov(fe f, const fe g, unsigned int b); -void fe_cswap(fe f, fe g, unsigned int b); - -void fe_neg(fe h, const fe f); -void fe_add(fe h, const fe f, const fe g); -void fe_invert(fe out, const fe z); -void fe_sq(fe h, const fe f); -void fe_sq2(fe h, const fe f); -void fe_mul(fe h, const fe f, const fe g); -void fe_mul121666(fe h, fe f); -void fe_pow22523(fe out, const fe z); -void fe_sub(fe h, const fe f, const fe g); - -#endif diff --git a/src/fixedint.h b/src/fixedint.h deleted file mode 100644 index 1a8745b..0000000 --- a/src/fixedint.h +++ /dev/null @@ -1,72 +0,0 @@ -/* - Portable header to provide the 32 and 64 bits type. - - Not a compatible replacement for <stdint.h>, do not blindly use it as such. -*/ - -#if ((defined(__STDC__) && __STDC__ && __STDC_VERSION__ >= 199901L) || (defined(__WATCOMC__) && (defined(_STDINT_H_INCLUDED) || __WATCOMC__ >= 1250)) || (defined(__GNUC__) && (defined(_STDINT_H) || defined(_STDINT_H_) || defined(__UINT_FAST64_TYPE__)) )) && !defined(FIXEDINT_H_INCLUDED) - #include <stdint.h> - #define FIXEDINT_H_INCLUDED - - #if defined(__WATCOMC__) && __WATCOMC__ >= 1250 && !defined(UINT64_C) - #include <limits.h> - #define UINT64_C(x) (x + (UINT64_MAX - UINT64_MAX)) - #endif -#endif - - -#ifndef FIXEDINT_H_INCLUDED - #define FIXEDINT_H_INCLUDED - - #include <limits.h> - - /* (u)int32_t */ - #ifndef uint32_t - #if (ULONG_MAX == 0xffffffffUL) - typedef unsigned long uint32_t; - #elif (UINT_MAX == 0xffffffffUL) - typedef unsigned int uint32_t; - #elif (USHRT_MAX == 0xffffffffUL) - typedef unsigned short uint32_t; - #endif - #endif - - - #ifndef int32_t - #if (LONG_MAX == 0x7fffffffL) - typedef signed long int32_t; - #elif (INT_MAX == 0x7fffffffL) - typedef signed int int32_t; - #elif (SHRT_MAX == 0x7fffffffL) - typedef signed short int32_t; - #endif - #endif - - - /* (u)int64_t */ - #if (defined(__STDC__) && defined(__STDC_VERSION__) && __STDC__ && __STDC_VERSION__ >= 199901L) - typedef long long int64_t; - typedef unsigned long long uint64_t; - - #define UINT64_C(v) v ##ULL - #define INT64_C(v) v ##LL - #elif defined(__GNUC__) - __extension__ typedef long long int64_t; - __extension__ typedef unsigned long long uint64_t; - - #define UINT64_C(v) v ##ULL - #define INT64_C(v) v ##LL - #elif defined(__MWERKS__) || defined(__SUNPRO_C) || defined(__SUNPRO_CC) || defined(__APPLE_CC__) || defined(_LONG_LONG) || defined(_CRAYC) - typedef long long int64_t; - typedef unsigned long long uint64_t; - - #define UINT64_C(v) v ##ULL - #define INT64_C(v) v ##LL - #elif (defined(__WATCOMC__) && defined(__WATCOM_INT64__)) || (defined(_MSC_VER) && _INTEGRAL_MAX_BITS >= 64) || (defined(__BORLANDC__) && __BORLANDC__ > 0x460) || defined(__alpha) || defined(__DECC) - typedef __int64 int64_t; - typedef unsigned __int64 uint64_t; - - #define UINT64_C(v) v ##UI64 - #define INT64_C(v) v ##I64 - #endif -#endif diff --git a/src/ge.c b/src/ge.c deleted file mode 100644 index 3c342b1..0000000 --- a/src/ge.c +++ /dev/null @@ -1,467 +0,0 @@ -#include "ge.h" -#include "precomp_data.h" - - -/* -r = p + q -*/ - -void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { - fe t0; - fe_add(r->X, p->Y, p->X); - fe_sub(r->Y, p->Y, p->X); - fe_mul(r->Z, r->X, q->YplusX); - fe_mul(r->Y, r->Y, q->YminusX); - fe_mul(r->T, q->T2d, p->T); - fe_mul(r->X, p->Z, q->Z); - fe_add(t0, r->X, r->X); - fe_sub(r->X, r->Z, r->Y); - fe_add(r->Y, r->Z, r->Y); - fe_add(r->Z, t0, r->T); - fe_sub(r->T, t0, r->T); -} - - -static void slide(signed char *r, const unsigned char *a) { - int i; - int b; - int k; - - for (i = 0; i < 256; ++i) { - r[i] = 1 & (a[i >> 3] >> (i & 7)); - } - - for (i = 0; i < 256; ++i) - if (r[i]) { - for (b = 1; b <= 6 && i + b < 256; ++b) { - if (r[i + b]) { - if (r[i] + (r[i + b] << b) <= 15) { - r[i] += r[i + b] << b; - r[i + b] = 0; - } else if (r[i] - (r[i + b] << b) >= -15) { - r[i] -= r[i + b] << b; - - for (k = i + b; k < 256; ++k) { - if (!r[k]) { - r[k] = 1; - break; - } - - r[k] = 0; - } - } else { - break; - } - } - } - } -} - -/* -r = a * A + b * B -where a = a[0]+256*a[1]+...+256^31 a[31]. -and b = b[0]+256*b[1]+...+256^31 b[31]. -B is the Ed25519 base point (x,4/5) with x positive. -*/ - -void ge_double_scalarmult_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b) { - signed char aslide[256]; - signed char bslide[256]; - ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ - ge_p1p1 t; - ge_p3 u; - ge_p3 A2; - int i; - slide(aslide, a); - slide(bslide, b); - ge_p3_to_cached(&Ai[0], A); - ge_p3_dbl(&t, A); - ge_p1p1_to_p3(&A2, &t); - ge_add(&t, &A2, &Ai[0]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[1], &u); - ge_add(&t, &A2, &Ai[1]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[2], &u); - ge_add(&t, &A2, &Ai[2]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[3], &u); - ge_add(&t, &A2, &Ai[3]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[4], &u); - ge_add(&t, &A2, &Ai[4]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[5], &u); - ge_add(&t, &A2, &Ai[5]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[6], &u); - ge_add(&t, &A2, &Ai[6]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[7], &u); - ge_p2_0(r); - - for (i = 255; i >= 0; --i) { - if (aslide[i] || bslide[i]) { - break; - } - } - - for (; i >= 0; --i) { - ge_p2_dbl(&t, r); - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Ai[aslide[i] / 2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Ai[(-aslide[i]) / 2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_madd(&t, &u, &Bi[bslide[i] / 2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_msub(&t, &u, &Bi[(-bslide[i]) / 2]); - } - - ge_p1p1_to_p2(r, &t); - } -} - - -static const fe d = { - -10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116 -}; - -static const fe sqrtm1 = { - -32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482 -}; - -int ge_frombytes_negate_vartime(ge_p3 *h, const unsigned char *s) { - fe u; - fe v; - fe v3; - fe vxx; - fe check; - fe_frombytes(h->Y, s); - fe_1(h->Z); - fe_sq(u, h->Y); - fe_mul(v, u, d); - fe_sub(u, u, h->Z); /* u = y^2-1 */ - fe_add(v, v, h->Z); /* v = dy^2+1 */ - fe_sq(v3, v); - fe_mul(v3, v3, v); /* v3 = v^3 */ - fe_sq(h->X, v3); - fe_mul(h->X, h->X, v); - fe_mul(h->X, h->X, u); /* x = uv^7 */ - fe_pow22523(h->X, h->X); /* x = (uv^7)^((q-5)/8) */ - fe_mul(h->X, h->X, v3); - fe_mul(h->X, h->X, u); /* x = uv^3(uv^7)^((q-5)/8) */ - fe_sq(vxx, h->X); - fe_mul(vxx, vxx, v); - fe_sub(check, vxx, u); /* vx^2-u */ - - if (fe_isnonzero(check)) { - fe_add(check, vxx, u); /* vx^2+u */ - - if (fe_isnonzero(check)) { - return -1; - } - - fe_mul(h->X, h->X, sqrtm1); - } - - if (fe_isnegative(h->X) == (s[31] >> 7)) { - fe_neg(h->X, h->X); - } - - fe_mul(h->T, h->X, h->Y); - return 0; -} - - -/* -r = p + q -*/ - -void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { - fe t0; - fe_add(r->X, p->Y, p->X); - fe_sub(r->Y, p->Y, p->X); - fe_mul(r->Z, r->X, q->yplusx); - fe_mul(r->Y, r->Y, q->yminusx); - fe_mul(r->T, q->xy2d, p->T); - fe_add(t0, p->Z, p->Z); - fe_sub(r->X, r->Z, r->Y); - fe_add(r->Y, r->Z, r->Y); - fe_add(r->Z, t0, r->T); - fe_sub(r->T, t0, r->T); -} - - -/* -r = p - q -*/ - -void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { - fe t0; - - fe_add(r->X, p->Y, p->X); - fe_sub(r->Y, p->Y, p->X); - fe_mul(r->Z, r->X, q->yminusx); - fe_mul(r->Y, r->Y, q->yplusx); - fe_mul(r->T, q->xy2d, p->T); - fe_add(t0, p->Z, p->Z); - fe_sub(r->X, r->Z, r->Y); - fe_add(r->Y, r->Z, r->Y); - fe_sub(r->Z, t0, r->T); - fe_add(r->T, t0, r->T); -} - - -/* -r = p -*/ - -void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p) { - fe_mul(r->X, p->X, p->T); - fe_mul(r->Y, p->Y, p->Z); - fe_mul(r->Z, p->Z, p->T); -} - - - -/* -r = p -*/ - -void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p) { - fe_mul(r->X, p->X, p->T); - fe_mul(r->Y, p->Y, p->Z); - fe_mul(r->Z, p->Z, p->T); - fe_mul(r->T, p->X, p->Y); -} - - -void ge_p2_0(ge_p2 *h) { - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); -} - - - -/* -r = 2 * p -*/ - -void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p) { - fe t0; - - fe_sq(r->X, p->X); - fe_sq(r->Z, p->Y); - fe_sq2(r->T, p->Z); - fe_add(r->Y, p->X, p->Y); - fe_sq(t0, r->Y); - fe_add(r->Y, r->Z, r->X); - fe_sub(r->Z, r->Z, r->X); - fe_sub(r->X, t0, r->Y); - fe_sub(r->T, r->T, r->Z); -} - - -void ge_p3_0(ge_p3 *h) { - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); - fe_0(h->T); -} - - -/* -r = 2 * p -*/ - -void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p) { - ge_p2 q; - ge_p3_to_p2(&q, p); - ge_p2_dbl(r, &q); -} - - - -/* -r = p -*/ - -static const fe d2 = { - -21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199 -}; - -void ge_p3_to_cached(ge_cached *r, const ge_p3 *p) { - fe_add(r->YplusX, p->Y, p->X); - fe_sub(r->YminusX, p->Y, p->X); - fe_copy(r->Z, p->Z); - fe_mul(r->T2d, p->T, d2); -} - - -/* -r = p -*/ - -void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p) { - fe_copy(r->X, p->X); - fe_copy(r->Y, p->Y); - fe_copy(r->Z, p->Z); -} - - -void ge_p3_tobytes(unsigned char *s, const ge_p3 *h) { - fe recip; - fe x; - fe y; - fe_invert(recip, h->Z); - fe_mul(x, h->X, recip); - fe_mul(y, h->Y, recip); - fe_tobytes(s, y); - s[31] ^= fe_isnegative(x) << 7; -} - - -static unsigned char equal(signed char b, signed char c) { - unsigned char ub = b; - unsigned char uc = c; - unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ - uint64_t y = x; /* 0: yes; 1..255: no */ - y -= 1; /* large: yes; 0..254: no */ - y >>= 63; /* 1: yes; 0: no */ - return (unsigned char) y; -} - -static unsigned char negative(signed char b) { - uint64_t x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ - x >>= 63; /* 1: yes; 0: no */ - return (unsigned char) x; -} - -static void cmov(ge_precomp *t, ge_precomp *u, unsigned char b) { - fe_cmov(t->yplusx, u->yplusx, b); - fe_cmov(t->yminusx, u->yminusx, b); - fe_cmov(t->xy2d, u->xy2d, b); -} - - -static void select(ge_precomp *t, int pos, signed char b) { - ge_precomp minust; - unsigned char bnegative = negative(b); - unsigned char babs = b - (((-bnegative) & b) << 1); - fe_1(t->yplusx); - fe_1(t->yminusx); - fe_0(t->xy2d); - cmov(t, &base[pos][0], equal(babs, 1)); - cmov(t, &base[pos][1], equal(babs, 2)); - cmov(t, &base[pos][2], equal(babs, 3)); - cmov(t, &base[pos][3], equal(babs, 4)); - cmov(t, &base[pos][4], equal(babs, 5)); - cmov(t, &base[pos][5], equal(babs, 6)); - cmov(t, &base[pos][6], equal(babs, 7)); - cmov(t, &base[pos][7], equal(babs, 8)); - fe_copy(minust.yplusx, t->yminusx); - fe_copy(minust.yminusx, t->yplusx); - fe_neg(minust.xy2d, t->xy2d); - cmov(t, &minust, bnegative); -} - -/* -h = a * B -where a = a[0]+256*a[1]+...+256^31 a[31] -B is the Ed25519 base point (x,4/5) with x positive. - -Preconditions: - a[31] <= 127 -*/ - -void ge_scalarmult_base(ge_p3 *h, const unsigned char *a) { - signed char e[64]; - signed char carry; - ge_p1p1 r; - ge_p2 s; - ge_precomp t; - int i; - - for (i = 0; i < 32; ++i) { - e[2 * i + 0] = (a[i] >> 0) & 15; - e[2 * i + 1] = (a[i] >> 4) & 15; - } - - /* each e[i] is between 0 and 15 */ - /* e[63] is between 0 and 7 */ - carry = 0; - - for (i = 0; i < 63; ++i) { - e[i] += carry; - carry = e[i] + 8; - carry >>= 4; - e[i] -= carry << 4; - } - - e[63] += carry; - /* each e[i] is between -8 and 8 */ - ge_p3_0(h); - - for (i = 1; i < 64; i += 2) { - select(&t, i / 2, e[i]); - ge_madd(&r, h, &t); - ge_p1p1_to_p3(h, &r); - } - - ge_p3_dbl(&r, h); - ge_p1p1_to_p2(&s, &r); - ge_p2_dbl(&r, &s); - ge_p1p1_to_p2(&s, &r); - ge_p2_dbl(&r, &s); - ge_p1p1_to_p2(&s, &r); - ge_p2_dbl(&r, &s); - ge_p1p1_to_p3(h, &r); - - for (i = 0; i < 64; i += 2) { - select(&t, i / 2, e[i]); - ge_madd(&r, h, &t); - ge_p1p1_to_p3(h, &r); - } -} - - -/* -r = p - q -*/ - -void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { - fe t0; - - fe_add(r->X, p->Y, p->X); - fe_sub(r->Y, p->Y, p->X); - fe_mul(r->Z, r->X, q->YminusX); - fe_mul(r->Y, r->Y, q->YplusX); - fe_mul(r->T, q->T2d, p->T); - fe_mul(r->X, p->Z, q->Z); - fe_add(t0, r->X, r->X); - fe_sub(r->X, r->Z, r->Y); - fe_add(r->Y, r->Z, r->Y); - fe_sub(r->Z, t0, r->T); - fe_add(r->T, t0, r->T); -} - - -void ge_tobytes(unsigned char *s, const ge_p2 *h) { - fe recip; - fe x; - fe y; - fe_invert(recip, h->Z); - fe_mul(x, h->X, recip); - fe_mul(y, h->Y, recip); - fe_tobytes(s, y); - s[31] ^= fe_isnegative(x) << 7; -} diff --git a/src/ge.h b/src/ge.h deleted file mode 100644 index 17fde2d..0000000 --- a/src/ge.h +++ /dev/null @@ -1,74 +0,0 @@ -#ifndef GE_H -#define GE_H - -#include "fe.h" - - -/* -ge means group element. - -Here the group is the set of pairs (x,y) of field elements (see fe.h) -satisfying -x^2 + y^2 = 1 + d x^2y^2 -where d = -121665/121666. - -Representations: - ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z - ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT - ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T - ge_precomp (Duif): (y+x,y-x,2dxy) -*/ - -typedef struct { - fe X; - fe Y; - fe Z; -} ge_p2; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p3; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p1p1; - -typedef struct { - fe yplusx; - fe yminusx; - fe xy2d; -} ge_precomp; - -typedef struct { - fe YplusX; - fe YminusX; - fe Z; - fe T2d; -} ge_cached; - -void ge_p3_tobytes(unsigned char *s, const ge_p3 *h); -void ge_tobytes(unsigned char *s, const ge_p2 *h); -int ge_frombytes_negate_vartime(ge_p3 *h, const unsigned char *s); - -void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q); -void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q); -void ge_double_scalarmult_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b); -void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q); -void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q); -void ge_scalarmult_base(ge_p3 *h, const unsigned char *a); - -void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p); -void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p); -void ge_p2_0(ge_p2 *h); -void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p); -void ge_p3_0(ge_p3 *h); -void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p); -void ge_p3_to_cached(ge_cached *r, const ge_p3 *p); -void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p); - -#endif diff --git a/src/key_exchange.c b/src/key_exchange.c deleted file mode 100644 index abd75da..0000000 --- a/src/key_exchange.c +++ /dev/null @@ -1,79 +0,0 @@ -#include "ed25519.h" -#include "fe.h" - -void ed25519_key_exchange(unsigned char *shared_secret, const unsigned char *public_key, const unsigned char *private_key) { - unsigned char e[32]; - unsigned int i; - - fe x1; - fe x2; - fe z2; - fe x3; - fe z3; - fe tmp0; - fe tmp1; - - int pos; - unsigned int swap; - unsigned int b; - - /* copy the private key and make sure it's valid */ - for (i = 0; i < 32; ++i) { - e[i] = private_key[i]; - } - - e[0] &= 248; - e[31] &= 63; - e[31] |= 64; - - /* unpack the public key and convert edwards to montgomery */ - /* due to CodesInChaos: montgomeryX = (edwardsY + 1)*inverse(1 - edwardsY) mod p */ - fe_frombytes(x1, public_key); - fe_1(tmp1); - fe_add(tmp0, x1, tmp1); - fe_sub(tmp1, tmp1, x1); - fe_invert(tmp1, tmp1); - fe_mul(x1, tmp0, tmp1); - - fe_1(x2); - fe_0(z2); - fe_copy(x3, x1); - fe_1(z3); - - swap = 0; - for (pos = 254; pos >= 0; --pos) { - b = e[pos / 8] >> (pos & 7); - b &= 1; - swap ^= b; - fe_cswap(x2, x3, swap); - fe_cswap(z2, z3, swap); - swap = b; - - /* from montgomery.h */ - fe_sub(tmp0, x3, z3); - fe_sub(tmp1, x2, z2); - fe_add(x2, x2, z2); - fe_add(z2, x3, z3); - fe_mul(z3, tmp0, x2); - fe_mul(z2, z2, tmp1); - fe_sq(tmp0, tmp1); - fe_sq(tmp1, x2); - fe_add(x3, z3, z2); - fe_sub(z2, z3, z2); - fe_mul(x2, tmp1, tmp0); - fe_sub(tmp1, tmp1, tmp0); - fe_sq(z2, z2); - fe_mul121666(z3, tmp1); - fe_sq(x3, x3); - fe_add(tmp0, tmp0, z3); - fe_mul(z3, x1, z2); - fe_mul(z2, tmp1, tmp0); - } - - fe_cswap(x2, x3, swap); - fe_cswap(z2, z3, swap); - - fe_invert(z2, z2); - fe_mul(x2, x2, z2); - fe_tobytes(shared_secret, x2); -} diff --git a/src/keypair.c b/src/keypair.c deleted file mode 100644 index dc1b8ec..0000000 --- a/src/keypair.c +++ /dev/null @@ -1,16 +0,0 @@ -#include "ed25519.h" -#include "sha512.h" -#include "ge.h" - - -void ed25519_create_keypair(unsigned char *public_key, unsigned char *private_key, const unsigned char *seed) { - ge_p3 A; - - sha512(seed, 32, private_key); - private_key[0] &= 248; - private_key[31] &= 63; - private_key[31] |= 64; - - ge_scalarmult_base(&A, private_key); - ge_p3_tobytes(public_key, &A); -} diff --git a/src/libs.cpp b/src/libs.cpp new file mode 100644 index 0000000..61bb86c --- /dev/null +++ b/src/libs.cpp @@ -0,0 +1,19 @@ +/* Copyright 2015 OpenMarket Ltd + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +extern "C" { +#include "crypto-algorithms/sha256.c" +#include "crypto-algorithms/aes.c" +#include "curve25519-donna/curve25519-donna.c" +} diff --git a/src/memory.cpp b/src/memory.cpp new file mode 100644 index 0000000..14c95dd --- /dev/null +++ b/src/memory.cpp @@ -0,0 +1,11 @@ +#include "axolotl/memory.hh" + +void axolotl::unset( + volatile void * buffer, std::size_t buffer_length +) { + volatile char * pos = reinterpret_cast<volatile char *>(buffer); + volatile char * end = pos + buffer_length; + while (pos != end) { + *(pos++) = 0; + } +} diff --git a/src/message.cpp b/src/message.cpp new file mode 100644 index 0000000..289faa3 --- /dev/null +++ b/src/message.cpp @@ -0,0 +1,184 @@ +/* Copyright 2015 OpenMarket Ltd + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +#include "axolotl/message.hh" + +namespace { + +template<typename T> +std::size_t varint_length( + T value +) { + std::size_t result = 1; + while (value > 128U) { + ++result; + value >>= 7; + } + return result; +} + + +template<typename T> +std::uint8_t * varint_encode( + std::uint8_t * output, + T value +) { + while (value > 128U) { + *(output++) = (0x7F & value) | 0x80; + } + (*output++) = value; + return output; +} + + +template<typename T> +T varint_decode( + std::uint8_t const * varint_start, + std::uint8_t const * varint_end +) { + T value = 0; + do { + value <<= 7; + value |= 0x7F & *(--varint_end); + } while (varint_end != varint_start); + return value; +} + + +std::uint8_t const * varint_skip( + std::uint8_t const * input, + std::uint8_t const * input_end +) { + while (input != input_end) { + std::uint8_t tmp = *(input++); + if ((tmp & 0x80) == 0) { + return input; + } + } + return input; +} + + +std::size_t varstring_length( + std::size_t string_length +) { + return varint_length(string_length) + string_length; +} + +static std::size_t const VERSION_LENGTH = 1; +static std::uint8_t const RATCHET_KEY_TAG = 012; +static std::uint8_t const COUNTER_TAG = 020; +static std::uint8_t const CIPHERTEXT_TAG = 042; + +} // namespace + + +std::size_t axolotl::encode_message_length( + std::uint32_t counter, + std::size_t ratchet_key_length, + std::size_t ciphertext_length, + std::size_t mac_length +) { + std::size_t length = VERSION_LENGTH; + length += 1 + varstring_length(ratchet_key_length); + length += 1 + varint_length(counter); + length += 1 + varstring_length(ciphertext_length); + return length + mac_length; +} + + +axolotl::MessageWriter axolotl::encode_message( + std::uint8_t version, + std::uint32_t counter, + std::size_t ratchet_key_length, + std::size_t ciphertext_length, + std::uint8_t * output +) { + axolotl::MessageWriter result; + std::uint8_t * pos = output; + *(pos++) = version; + *(pos++) = COUNTER_TAG; + pos = varint_encode(pos, counter); + *(pos++) = RATCHET_KEY_TAG; + pos = varint_encode(pos, ratchet_key_length); + result.ratchet_key = pos; + pos += ratchet_key_length; + *(pos++) = CIPHERTEXT_TAG; + pos = varint_encode(pos, ciphertext_length); + result.ciphertext = pos; + pos += ciphertext_length; + result.body_length = pos - output; + result.mac = pos; + return result; +} + + +axolotl::MessageReader axolotl::decode_message( + std::uint8_t const * input, std::size_t input_length, + std::size_t mac_length +) { + axolotl::MessageReader result; + result.body_length = 0; + std::uint8_t const * pos = input; + std::uint8_t const * end = input + input_length - mac_length; + std::uint8_t flags = 0; + result.mac = end; + if (pos == end) return result; + result.version = *(pos++); + while (pos != end) { + uint8_t tag = *(pos); + if (tag == COUNTER_TAG) { + ++pos; + std::uint8_t const * counter_start = pos; + pos = varint_skip(pos, end); + result.counter = varint_decode<std::uint32_t>(counter_start, pos); + flags |= 1; + } else if (tag == RATCHET_KEY_TAG) { + ++pos; + std::uint8_t const * len_start = pos; + pos = varint_skip(pos, end); + std::size_t len = varint_decode<std::size_t>(len_start, pos); + if (len > end - pos) return result; + result.ratchet_key_length = len; + result.ratchet_key = pos; + pos += len; + flags |= 2; + } else if (tag == CIPHERTEXT_TAG) { + ++pos; + std::uint8_t const * len_start = pos; + pos = varint_skip(pos, end); + std::size_t len = varint_decode<std::size_t>(len_start, pos); + if (len > end - pos) return result; + result.ciphertext_length = len; + result.ciphertext = pos; + pos += len; + flags |= 4; + } else if (tag & 0x7 == 0) { + pos = varint_skip(pos, end); + pos = varint_skip(pos, end); + } else if (tag & 0x7 == 2) { + std::uint8_t const * len_start = pos; + pos = varint_skip(pos, end); + std::size_t len = varint_decode<std::size_t>(len_start, pos); + if (len > end - pos) return result; + pos += len; + } else { + return result; + } + } + if (flags == 0x7) { + result.body_length = end - input; + } + return result; +} diff --git a/src/precomp_data.h b/src/precomp_data.h deleted file mode 100644 index 776b84f..0000000 --- a/src/precomp_data.h +++ /dev/null @@ -1,1391 +0,0 @@ -static ge_precomp Bi[8] = { - { - { 25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605 }, - { -12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378 }, - { -8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546 }, - }, - { - { 15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024 }, - { 16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574 }, - { 30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357 }, - }, - { - { 10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380 }, - { 4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306 }, - { 19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942 }, - }, - { - { 5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766 }, - { -30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701 }, - { 28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300 }, - }, - { - { -22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877 }, - { -6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951 }, - { 4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784 }, - }, - { - { -25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436 }, - { 25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918 }, - { 23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877 }, - }, - { - { -33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800 }, - { -25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305 }, - { -13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300 }, - }, - { - { -3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876 }, - { -24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619 }, - { -3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683 }, - }, -}; - - -/* base[i][j] = (j+1)*256^i*B */ -static ge_precomp base[32][8] = { - { - { - { 25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605 }, - { -12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378 }, - { -8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546 }, - }, - { - { -12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303 }, - { -21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081 }, - { 26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697 }, - }, - { - { 15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024 }, - { 16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574 }, - { 30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357 }, - }, - { - { -17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540 }, - { 23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397 }, - { 7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325 }, - }, - { - { 10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380 }, - { 4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306 }, - { 19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942 }, - }, - { - { -15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777 }, - { -8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737 }, - { -18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652 }, - }, - { - { 5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766 }, - { -30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701 }, - { 28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300 }, - }, - { - { 14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726 }, - { -7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955 }, - { 27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425 }, - }, - }, - { - { - { -13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171 }, - { 27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510 }, - { 17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660 }, - }, - { - { -10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 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-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658 }, - { -10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242 }, - }, - { - { -21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001 }, - { -4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766 }, - { 18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373 }, - }, - { - { 26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458 }, - { -17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628 }, - { -13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657 }, - }, - { - { -23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062 }, - { 25089769, 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8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970 }, - { 1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799 }, - }, - { - { -5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647 }, - { 13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511 }, - { -29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032 }, - }, - }, - { - { - { 9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834 }, - { -23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461 }, - { 29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062 }, - }, - { - { -25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516 }, - { -20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547 }, - { -24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240 }, - }, - { - { -17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038 }, - { -33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741 }, - { 16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103 }, - }, - { - { -19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747 }, - { -1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323 }, - { 31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016 }, - }, - { - { -14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373 }, - { 15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228 }, - { -2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141 }, - }, - { - { 16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399 }, - { 11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831 }, - { -185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376 }, - }, - { - { -32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313 }, - { -18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958 }, - { -6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577 }, - }, - { - { -22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743 }, - { 29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684 }, - { -20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476 }, - }, - }, -};
\ No newline at end of file diff --git a/src/sc.c b/src/sc.c deleted file mode 100644 index ca5bad2..0000000 --- a/src/sc.c +++ /dev/null @@ -1,809 +0,0 @@ -#include "fixedint.h" -#include "sc.h" - -static uint64_t load_3(const unsigned char *in) { - uint64_t result; - - result = (uint64_t) in[0]; - result |= ((uint64_t) in[1]) << 8; - result |= ((uint64_t) in[2]) << 16; - - return result; -} - -static uint64_t load_4(const unsigned char *in) { - uint64_t result; - - result = (uint64_t) in[0]; - result |= ((uint64_t) in[1]) << 8; - result |= ((uint64_t) in[2]) << 16; - result |= ((uint64_t) in[3]) << 24; - - return result; -} - -/* -Input: - s[0]+256*s[1]+...+256^63*s[63] = s - -Output: - s[0]+256*s[1]+...+256^31*s[31] = s mod l - where l = 2^252 + 27742317777372353535851937790883648493. - Overwrites s in place. -*/ - -void sc_reduce(unsigned char *s) { - int64_t s0 = 2097151 & load_3(s); - int64_t s1 = 2097151 & (load_4(s + 2) >> 5); - int64_t s2 = 2097151 & (load_3(s + 5) >> 2); - int64_t s3 = 2097151 & (load_4(s + 7) >> 7); - int64_t s4 = 2097151 & (load_4(s + 10) >> 4); - int64_t s5 = 2097151 & (load_3(s + 13) >> 1); - int64_t s6 = 2097151 & (load_4(s + 15) >> 6); - int64_t s7 = 2097151 & (load_3(s + 18) >> 3); - int64_t s8 = 2097151 & load_3(s + 21); - int64_t s9 = 2097151 & (load_4(s + 23) >> 5); - int64_t s10 = 2097151 & (load_3(s + 26) >> 2); - int64_t s11 = 2097151 & (load_4(s + 28) >> 7); - int64_t s12 = 2097151 & (load_4(s + 31) >> 4); - int64_t s13 = 2097151 & (load_3(s + 34) >> 1); - int64_t s14 = 2097151 & (load_4(s + 36) >> 6); - int64_t s15 = 2097151 & (load_3(s + 39) >> 3); - int64_t s16 = 2097151 & load_3(s + 42); - int64_t s17 = 2097151 & (load_4(s + 44) >> 5); - int64_t s18 = 2097151 & (load_3(s + 47) >> 2); - int64_t s19 = 2097151 & (load_4(s + 49) >> 7); - int64_t s20 = 2097151 & (load_4(s + 52) >> 4); - int64_t s21 = 2097151 & (load_3(s + 55) >> 1); - int64_t s22 = 2097151 & (load_4(s + 57) >> 6); - int64_t s23 = (load_4(s + 60) >> 3); - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - int64_t carry12; - int64_t carry13; - int64_t carry14; - int64_t carry15; - int64_t carry16; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - carry6 = (s6 + (1 << 20)) >> 21; - s7 += carry6; - s6 -= carry6 << 21; - carry8 = (s8 + (1 << 20)) >> 21; - s9 += carry8; - s8 -= carry8 << 21; - carry10 = (s10 + (1 << 20)) >> 21; - s11 += carry10; - s10 -= carry10 << 21; - carry12 = (s12 + (1 << 20)) >> 21; - s13 += carry12; - s12 -= carry12 << 21; - carry14 = (s14 + (1 << 20)) >> 21; - s15 += carry14; - s14 -= carry14 << 21; - carry16 = (s16 + (1 << 20)) >> 21; - s17 += carry16; - s16 -= carry16 << 21; - carry7 = (s7 + (1 << 20)) >> 21; - s8 += carry7; - s7 -= carry7 << 21; - carry9 = (s9 + (1 << 20)) >> 21; - s10 += carry9; - s9 -= carry9 << 21; - carry11 = (s11 + (1 << 20)) >> 21; - s12 += carry11; - s11 -= carry11 << 21; - carry13 = (s13 + (1 << 20)) >> 21; - s14 += carry13; - s13 -= carry13 << 21; - carry15 = (s15 + (1 << 20)) >> 21; - s16 += carry15; - s15 -= carry15 << 21; - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - carry0 = (s0 + (1 << 20)) >> 21; - s1 += carry0; - s0 -= carry0 << 21; - carry2 = (s2 + (1 << 20)) >> 21; - s3 += carry2; - s2 -= carry2 << 21; - carry4 = (s4 + (1 << 20)) >> 21; - s5 += carry4; - s4 -= carry4 << 21; - carry6 = (s6 + (1 << 20)) >> 21; - s7 += carry6; - s6 -= carry6 << 21; - carry8 = (s8 + (1 << 20)) >> 21; - s9 += carry8; - s8 -= carry8 << 21; - carry10 = (s10 + (1 << 20)) >> 21; - s11 += carry10; - s10 -= carry10 << 21; - carry1 = (s1 + (1 << 20)) >> 21; - s2 += carry1; - s1 -= carry1 << 21; - carry3 = (s3 + (1 << 20)) >> 21; - s4 += carry3; - s3 -= carry3 << 21; - carry5 = (s5 + (1 << 20)) >> 21; - s6 += carry5; - s5 -= carry5 << 21; - carry7 = (s7 + (1 << 20)) >> 21; - s8 += carry7; - s7 -= carry7 << 21; - carry9 = (s9 + (1 << 20)) >> 21; - s10 += carry9; - s9 -= carry9 << 21; - carry11 = (s11 + (1 << 20)) >> 21; - s12 += carry11; - s11 -= carry11 << 21; - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - carry0 = s0 >> 21; - s1 += carry0; - s0 -= carry0 << 21; - carry1 = s1 >> 21; - s2 += carry1; - s1 -= carry1 << 21; - carry2 = s2 >> 21; - s3 += carry2; - s2 -= carry2 << 21; - carry3 = s3 >> 21; - s4 += carry3; - s3 -= carry3 << 21; - carry4 = s4 >> 21; - s5 += carry4; - s4 -= carry4 << 21; - carry5 = s5 >> 21; - s6 += carry5; - s5 -= carry5 << 21; - carry6 = s6 >> 21; - s7 += carry6; - s6 -= carry6 << 21; - carry7 = s7 >> 21; - s8 += carry7; - s7 -= carry7 << 21; - carry8 = s8 >> 21; - s9 += carry8; - s8 -= carry8 << 21; - carry9 = s9 >> 21; - s10 += carry9; - s9 -= carry9 << 21; - carry10 = s10 >> 21; - s11 += carry10; - s10 -= carry10 << 21; - carry11 = s11 >> 21; - s12 += carry11; - s11 -= carry11 << 21; - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - carry0 = s0 >> 21; - s1 += carry0; - s0 -= carry0 << 21; - carry1 = s1 >> 21; - s2 += carry1; - s1 -= carry1 << 21; - carry2 = s2 >> 21; - s3 += carry2; - s2 -= carry2 << 21; - carry3 = s3 >> 21; - s4 += carry3; - s3 -= carry3 << 21; - carry4 = s4 >> 21; - s5 += carry4; - s4 -= carry4 << 21; - carry5 = s5 >> 21; - s6 += carry5; - s5 -= carry5 << 21; - carry6 = s6 >> 21; - s7 += carry6; - s6 -= carry6 << 21; - carry7 = s7 >> 21; - s8 += carry7; - s7 -= carry7 << 21; - carry8 = s8 >> 21; - s9 += carry8; - s8 -= carry8 << 21; - carry9 = s9 >> 21; - s10 += carry9; - s9 -= carry9 << 21; - carry10 = s10 >> 21; - s11 += carry10; - s10 -= carry10 << 21; - - s[0] = (unsigned char) (s0 >> 0); - s[1] = (unsigned char) (s0 >> 8); - s[2] = (unsigned char) ((s0 >> 16) | (s1 << 5)); - s[3] = (unsigned char) (s1 >> 3); - s[4] = (unsigned char) (s1 >> 11); - s[5] = (unsigned char) ((s1 >> 19) | (s2 << 2)); - s[6] = (unsigned char) (s2 >> 6); - s[7] = (unsigned char) ((s2 >> 14) | (s3 << 7)); - s[8] = (unsigned char) (s3 >> 1); - s[9] = (unsigned char) (s3 >> 9); - s[10] = (unsigned char) ((s3 >> 17) | (s4 << 4)); - s[11] = (unsigned char) (s4 >> 4); - s[12] = (unsigned char) (s4 >> 12); - s[13] = (unsigned char) ((s4 >> 20) | (s5 << 1)); - s[14] = (unsigned char) (s5 >> 7); - s[15] = (unsigned char) ((s5 >> 15) | (s6 << 6)); - s[16] = (unsigned char) (s6 >> 2); - s[17] = (unsigned char) (s6 >> 10); - s[18] = (unsigned char) ((s6 >> 18) | (s7 << 3)); - s[19] = (unsigned char) (s7 >> 5); - s[20] = (unsigned char) (s7 >> 13); - s[21] = (unsigned char) (s8 >> 0); - s[22] = (unsigned char) (s8 >> 8); - s[23] = (unsigned char) ((s8 >> 16) | (s9 << 5)); - s[24] = (unsigned char) (s9 >> 3); - s[25] = (unsigned char) (s9 >> 11); - s[26] = (unsigned char) ((s9 >> 19) | (s10 << 2)); - s[27] = (unsigned char) (s10 >> 6); - s[28] = (unsigned char) ((s10 >> 14) | (s11 << 7)); - s[29] = (unsigned char) (s11 >> 1); - s[30] = (unsigned char) (s11 >> 9); - s[31] = (unsigned char) (s11 >> 17); -} - - - -/* -Input: - a[0]+256*a[1]+...+256^31*a[31] = a - b[0]+256*b[1]+...+256^31*b[31] = b - c[0]+256*c[1]+...+256^31*c[31] = c - -Output: - s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l - where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -void sc_muladd(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t c0 = 2097151 & load_3(c); - int64_t c1 = 2097151 & (load_4(c + 2) >> 5); - int64_t c2 = 2097151 & (load_3(c + 5) >> 2); - int64_t c3 = 2097151 & (load_4(c + 7) >> 7); - int64_t c4 = 2097151 & (load_4(c + 10) >> 4); - int64_t c5 = 2097151 & (load_3(c + 13) >> 1); - int64_t c6 = 2097151 & (load_4(c + 15) >> 6); - int64_t c7 = 2097151 & (load_3(c + 18) >> 3); - int64_t c8 = 2097151 & load_3(c + 21); - int64_t c9 = 2097151 & (load_4(c + 23) >> 5); - int64_t c10 = 2097151 & (load_3(c + 26) >> 2); - int64_t c11 = (load_4(c + 28) >> 7); - int64_t s0; - int64_t s1; - int64_t s2; - int64_t s3; - int64_t s4; - int64_t s5; - int64_t s6; - int64_t s7; - int64_t s8; - int64_t s9; - int64_t s10; - int64_t s11; - int64_t s12; - int64_t s13; - int64_t s14; - int64_t s15; - int64_t s16; - int64_t s17; - int64_t s18; - int64_t s19; - int64_t s20; - int64_t s21; - int64_t s22; - int64_t s23; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - int64_t carry12; - int64_t carry13; - int64_t carry14; - int64_t carry15; - int64_t carry16; - int64_t carry17; - int64_t carry18; - int64_t carry19; - int64_t carry20; - int64_t carry21; - int64_t carry22; - - s0 = c0 + a0 * b0; - s1 = c1 + a0 * b1 + a1 * b0; - s2 = c2 + a0 * b2 + a1 * b1 + a2 * b0; - s3 = c3 + a0 * b3 + a1 * b2 + a2 * b1 + a3 * b0; - s4 = c4 + a0 * b4 + a1 * b3 + a2 * b2 + a3 * b1 + a4 * b0; - s5 = c5 + a0 * b5 + a1 * b4 + a2 * b3 + a3 * b2 + a4 * b1 + a5 * b0; - s6 = c6 + a0 * b6 + a1 * b5 + a2 * b4 + a3 * b3 + a4 * b2 + a5 * b1 + a6 * b0; - s7 = c7 + a0 * b7 + a1 * b6 + a2 * b5 + a3 * b4 + a4 * b3 + a5 * b2 + a6 * b1 + a7 * b0; - s8 = c8 + a0 * b8 + a1 * b7 + a2 * b6 + a3 * b5 + a4 * b4 + a5 * b3 + a6 * b2 + a7 * b1 + a8 * b0; - s9 = c9 + a0 * b9 + a1 * b8 + a2 * b7 + a3 * b6 + a4 * b5 + a5 * b4 + a6 * b3 + a7 * b2 + a8 * b1 + a9 * b0; - s10 = c10 + a0 * b10 + a1 * b9 + a2 * b8 + a3 * b7 + a4 * b6 + a5 * b5 + a6 * b4 + a7 * b3 + a8 * b2 + a9 * b1 + a10 * b0; - s11 = c11 + a0 * b11 + a1 * b10 + a2 * b9 + a3 * b8 + a4 * b7 + a5 * b6 + a6 * b5 + a7 * b4 + a8 * b3 + a9 * b2 + a10 * b1 + a11 * b0; - s12 = a1 * b11 + a2 * b10 + a3 * b9 + a4 * b8 + a5 * b7 + a6 * b6 + a7 * b5 + a8 * b4 + a9 * b3 + a10 * b2 + a11 * b1; - s13 = a2 * b11 + a3 * b10 + a4 * b9 + a5 * b8 + a6 * b7 + a7 * b6 + a8 * b5 + a9 * b4 + a10 * b3 + a11 * b2; - s14 = a3 * b11 + a4 * b10 + a5 * b9 + a6 * b8 + a7 * b7 + a8 * b6 + a9 * b5 + a10 * b4 + a11 * b3; - s15 = a4 * b11 + a5 * b10 + a6 * b9 + a7 * b8 + a8 * b7 + a9 * b6 + a10 * b5 + a11 * b4; - s16 = a5 * b11 + a6 * b10 + a7 * b9 + a8 * b8 + a9 * b7 + a10 * b6 + a11 * b5; - s17 = a6 * b11 + a7 * b10 + a8 * b9 + a9 * b8 + a10 * b7 + a11 * b6; - s18 = a7 * b11 + a8 * b10 + a9 * b9 + a10 * b8 + a11 * b7; - s19 = a8 * b11 + a9 * b10 + a10 * b9 + a11 * b8; - s20 = a9 * b11 + a10 * b10 + a11 * b9; - s21 = a10 * b11 + a11 * b10; - s22 = a11 * b11; - s23 = 0; - carry0 = (s0 + (1 << 20)) >> 21; - s1 += carry0; - s0 -= carry0 << 21; - carry2 = (s2 + (1 << 20)) >> 21; - s3 += carry2; - s2 -= carry2 << 21; - carry4 = (s4 + (1 << 20)) >> 21; - s5 += carry4; - s4 -= carry4 << 21; - carry6 = (s6 + (1 << 20)) >> 21; - s7 += carry6; - s6 -= carry6 << 21; - carry8 = (s8 + (1 << 20)) >> 21; - s9 += carry8; - s8 -= carry8 << 21; - carry10 = (s10 + (1 << 20)) >> 21; - s11 += carry10; - s10 -= carry10 << 21; - carry12 = (s12 + (1 << 20)) >> 21; - s13 += carry12; - s12 -= carry12 << 21; - carry14 = (s14 + (1 << 20)) >> 21; - s15 += carry14; - s14 -= carry14 << 21; - carry16 = (s16 + (1 << 20)) >> 21; - s17 += carry16; - s16 -= carry16 << 21; - carry18 = (s18 + (1 << 20)) >> 21; - s19 += carry18; - s18 -= carry18 << 21; - carry20 = (s20 + (1 << 20)) >> 21; - s21 += carry20; - s20 -= carry20 << 21; - carry22 = (s22 + (1 << 20)) >> 21; - s23 += carry22; - s22 -= carry22 << 21; - carry1 = (s1 + (1 << 20)) >> 21; - s2 += carry1; - s1 -= carry1 << 21; - carry3 = (s3 + (1 << 20)) >> 21; - s4 += carry3; - s3 -= carry3 << 21; - carry5 = (s5 + (1 << 20)) >> 21; - s6 += carry5; - s5 -= carry5 << 21; - carry7 = (s7 + (1 << 20)) >> 21; - s8 += carry7; - s7 -= carry7 << 21; - carry9 = (s9 + (1 << 20)) >> 21; - s10 += carry9; - s9 -= carry9 << 21; - carry11 = (s11 + (1 << 20)) >> 21; - s12 += carry11; - s11 -= carry11 << 21; - carry13 = (s13 + (1 << 20)) >> 21; - s14 += carry13; - s13 -= carry13 << 21; - carry15 = (s15 + (1 << 20)) >> 21; - s16 += carry15; - s15 -= carry15 << 21; - carry17 = (s17 + (1 << 20)) >> 21; - s18 += carry17; - s17 -= carry17 << 21; - carry19 = (s19 + (1 << 20)) >> 21; - s20 += carry19; - s19 -= carry19 << 21; - carry21 = (s21 + (1 << 20)) >> 21; - s22 += carry21; - s21 -= carry21 << 21; - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - carry6 = (s6 + (1 << 20)) >> 21; - s7 += carry6; - s6 -= carry6 << 21; - carry8 = (s8 + (1 << 20)) >> 21; - s9 += carry8; - s8 -= carry8 << 21; - carry10 = (s10 + (1 << 20)) >> 21; - s11 += carry10; - s10 -= carry10 << 21; - carry12 = (s12 + (1 << 20)) >> 21; - s13 += carry12; - s12 -= carry12 << 21; - carry14 = (s14 + (1 << 20)) >> 21; - s15 += carry14; - s14 -= carry14 << 21; - carry16 = (s16 + (1 << 20)) >> 21; - s17 += carry16; - s16 -= carry16 << 21; - carry7 = (s7 + (1 << 20)) >> 21; - s8 += carry7; - s7 -= carry7 << 21; - carry9 = (s9 + (1 << 20)) >> 21; - s10 += carry9; - s9 -= carry9 << 21; - carry11 = (s11 + (1 << 20)) >> 21; - s12 += carry11; - s11 -= carry11 << 21; - carry13 = (s13 + (1 << 20)) >> 21; - s14 += carry13; - s13 -= carry13 << 21; - carry15 = (s15 + (1 << 20)) >> 21; - s16 += carry15; - s15 -= carry15 << 21; - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - carry0 = (s0 + (1 << 20)) >> 21; - s1 += carry0; - s0 -= carry0 << 21; - carry2 = (s2 + (1 << 20)) >> 21; - s3 += carry2; - s2 -= carry2 << 21; - carry4 = (s4 + (1 << 20)) >> 21; - s5 += carry4; - s4 -= carry4 << 21; - carry6 = (s6 + (1 << 20)) >> 21; - s7 += carry6; - s6 -= carry6 << 21; - carry8 = (s8 + (1 << 20)) >> 21; - s9 += carry8; - s8 -= carry8 << 21; - carry10 = (s10 + (1 << 20)) >> 21; - s11 += carry10; - s10 -= carry10 << 21; - carry1 = (s1 + (1 << 20)) >> 21; - s2 += carry1; - s1 -= carry1 << 21; - carry3 = (s3 + (1 << 20)) >> 21; - s4 += carry3; - s3 -= carry3 << 21; - carry5 = (s5 + (1 << 20)) >> 21; - s6 += carry5; - s5 -= carry5 << 21; - carry7 = (s7 + (1 << 20)) >> 21; - s8 += carry7; - s7 -= carry7 << 21; - carry9 = (s9 + (1 << 20)) >> 21; - s10 += carry9; - s9 -= carry9 << 21; - carry11 = (s11 + (1 << 20)) >> 21; - s12 += carry11; - s11 -= carry11 << 21; - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - carry0 = s0 >> 21; - s1 += carry0; - s0 -= carry0 << 21; - carry1 = s1 >> 21; - s2 += carry1; - s1 -= carry1 << 21; - carry2 = s2 >> 21; - s3 += carry2; - s2 -= carry2 << 21; - carry3 = s3 >> 21; - s4 += carry3; - s3 -= carry3 << 21; - carry4 = s4 >> 21; - s5 += carry4; - s4 -= carry4 << 21; - carry5 = s5 >> 21; - s6 += carry5; - s5 -= carry5 << 21; - carry6 = s6 >> 21; - s7 += carry6; - s6 -= carry6 << 21; - carry7 = s7 >> 21; - s8 += carry7; - s7 -= carry7 << 21; - carry8 = s8 >> 21; - s9 += carry8; - s8 -= carry8 << 21; - carry9 = s9 >> 21; - s10 += carry9; - s9 -= carry9 << 21; - carry10 = s10 >> 21; - s11 += carry10; - s10 -= carry10 << 21; - carry11 = s11 >> 21; - s12 += carry11; - s11 -= carry11 << 21; - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - carry0 = s0 >> 21; - s1 += carry0; - s0 -= carry0 << 21; - carry1 = s1 >> 21; - s2 += carry1; - s1 -= carry1 << 21; - carry2 = s2 >> 21; - s3 += carry2; - s2 -= carry2 << 21; - carry3 = s3 >> 21; - s4 += carry3; - s3 -= carry3 << 21; - carry4 = s4 >> 21; - s5 += carry4; - s4 -= carry4 << 21; - carry5 = s5 >> 21; - s6 += carry5; - s5 -= carry5 << 21; - carry6 = s6 >> 21; - s7 += carry6; - s6 -= carry6 << 21; - carry7 = s7 >> 21; - s8 += carry7; - s7 -= carry7 << 21; - carry8 = s8 >> 21; - s9 += carry8; - s8 -= carry8 << 21; - carry9 = s9 >> 21; - s10 += carry9; - s9 -= carry9 << 21; - carry10 = s10 >> 21; - s11 += carry10; - s10 -= carry10 << 21; - - s[0] = (unsigned char) (s0 >> 0); - s[1] = (unsigned char) (s0 >> 8); - s[2] = (unsigned char) ((s0 >> 16) | (s1 << 5)); - s[3] = (unsigned char) (s1 >> 3); - s[4] = (unsigned char) (s1 >> 11); - s[5] = (unsigned char) ((s1 >> 19) | (s2 << 2)); - s[6] = (unsigned char) (s2 >> 6); - s[7] = (unsigned char) ((s2 >> 14) | (s3 << 7)); - s[8] = (unsigned char) (s3 >> 1); - s[9] = (unsigned char) (s3 >> 9); - s[10] = (unsigned char) ((s3 >> 17) | (s4 << 4)); - s[11] = (unsigned char) (s4 >> 4); - s[12] = (unsigned char) (s4 >> 12); - s[13] = (unsigned char) ((s4 >> 20) | (s5 << 1)); - s[14] = (unsigned char) (s5 >> 7); - s[15] = (unsigned char) ((s5 >> 15) | (s6 << 6)); - s[16] = (unsigned char) (s6 >> 2); - s[17] = (unsigned char) (s6 >> 10); - s[18] = (unsigned char) ((s6 >> 18) | (s7 << 3)); - s[19] = (unsigned char) (s7 >> 5); - s[20] = (unsigned char) (s7 >> 13); - s[21] = (unsigned char) (s8 >> 0); - s[22] = (unsigned char) (s8 >> 8); - s[23] = (unsigned char) ((s8 >> 16) | (s9 << 5)); - s[24] = (unsigned char) (s9 >> 3); - s[25] = (unsigned char) (s9 >> 11); - s[26] = (unsigned char) ((s9 >> 19) | (s10 << 2)); - s[27] = (unsigned char) (s10 >> 6); - s[28] = (unsigned char) ((s10 >> 14) | (s11 << 7)); - s[29] = (unsigned char) (s11 >> 1); - s[30] = (unsigned char) (s11 >> 9); - s[31] = (unsigned char) (s11 >> 17); -} diff --git a/src/sc.h b/src/sc.h deleted file mode 100644 index 8fa727e..0000000 --- a/src/sc.h +++ /dev/null @@ -1,12 +0,0 @@ -#ifndef SC_H -#define SC_H - -/* -The set of scalars is \Z/l -where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -void sc_reduce(unsigned char *s); -void sc_muladd(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c); - -#endif
\ No newline at end of file diff --git a/src/seed.c b/src/seed.c deleted file mode 100644 index 25e5182..0000000 --- a/src/seed.c +++ /dev/null @@ -1,40 +0,0 @@ -#include "ed25519.h" - -#ifndef ED25519_NO_SEED - -#ifdef _WIN32 -#include <Windows.h> -#include <Wincrypt.h> -#else -#include <stdio.h> -#endif - -int ed25519_create_seed(unsigned char *seed) { -#ifdef _WIN32 - HCRYPTPROV prov; - - if (!CryptAcquireContext(&prov, NULL, NULL, PROV_RSA_FULL, CRYPT_VERIFYCONTEXT)) { - return 1; - } - - if (!CryptGenRandom(prov, 32, seed)) { - CryptReleaseContext(prov, 0); - return 1; - } - - CryptReleaseContext(prov, 0); -#else - FILE *f = fopen("/dev/urandom", "rb"); - - if (f == NULL) { - return 1; - } - - fread(seed, 1, 32, f); - fclose(f); -#endif - - return 0; -} - -#endif
\ No newline at end of file diff --git a/src/sha512.c b/src/sha512.c deleted file mode 100644 index cb8ae71..0000000 --- a/src/sha512.c +++ /dev/null @@ -1,275 +0,0 @@ -/* LibTomCrypt, modular cryptographic library -- Tom St Denis - * - * LibTomCrypt is a library that provides various cryptographic - * algorithms in a highly modular and flexible manner. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org - */ - -#include "fixedint.h" -#include "sha512.h" - -/* the K array */ -static const uint64_t K[80] = { - UINT64_C(0x428a2f98d728ae22), UINT64_C(0x7137449123ef65cd), - UINT64_C(0xb5c0fbcfec4d3b2f), UINT64_C(0xe9b5dba58189dbbc), - UINT64_C(0x3956c25bf348b538), UINT64_C(0x59f111f1b605d019), - UINT64_C(0x923f82a4af194f9b), UINT64_C(0xab1c5ed5da6d8118), - UINT64_C(0xd807aa98a3030242), UINT64_C(0x12835b0145706fbe), - UINT64_C(0x243185be4ee4b28c), UINT64_C(0x550c7dc3d5ffb4e2), - UINT64_C(0x72be5d74f27b896f), UINT64_C(0x80deb1fe3b1696b1), - UINT64_C(0x9bdc06a725c71235), UINT64_C(0xc19bf174cf692694), - UINT64_C(0xe49b69c19ef14ad2), UINT64_C(0xefbe4786384f25e3), - UINT64_C(0x0fc19dc68b8cd5b5), UINT64_C(0x240ca1cc77ac9c65), - UINT64_C(0x2de92c6f592b0275), UINT64_C(0x4a7484aa6ea6e483), - UINT64_C(0x5cb0a9dcbd41fbd4), UINT64_C(0x76f988da831153b5), - UINT64_C(0x983e5152ee66dfab), UINT64_C(0xa831c66d2db43210), - UINT64_C(0xb00327c898fb213f), UINT64_C(0xbf597fc7beef0ee4), - UINT64_C(0xc6e00bf33da88fc2), UINT64_C(0xd5a79147930aa725), - UINT64_C(0x06ca6351e003826f), UINT64_C(0x142929670a0e6e70), - UINT64_C(0x27b70a8546d22ffc), UINT64_C(0x2e1b21385c26c926), - UINT64_C(0x4d2c6dfc5ac42aed), UINT64_C(0x53380d139d95b3df), - UINT64_C(0x650a73548baf63de), UINT64_C(0x766a0abb3c77b2a8), - UINT64_C(0x81c2c92e47edaee6), UINT64_C(0x92722c851482353b), - UINT64_C(0xa2bfe8a14cf10364), UINT64_C(0xa81a664bbc423001), - UINT64_C(0xc24b8b70d0f89791), UINT64_C(0xc76c51a30654be30), - UINT64_C(0xd192e819d6ef5218), UINT64_C(0xd69906245565a910), - UINT64_C(0xf40e35855771202a), UINT64_C(0x106aa07032bbd1b8), - UINT64_C(0x19a4c116b8d2d0c8), UINT64_C(0x1e376c085141ab53), - UINT64_C(0x2748774cdf8eeb99), UINT64_C(0x34b0bcb5e19b48a8), - UINT64_C(0x391c0cb3c5c95a63), UINT64_C(0x4ed8aa4ae3418acb), - UINT64_C(0x5b9cca4f7763e373), UINT64_C(0x682e6ff3d6b2b8a3), - UINT64_C(0x748f82ee5defb2fc), UINT64_C(0x78a5636f43172f60), - UINT64_C(0x84c87814a1f0ab72), UINT64_C(0x8cc702081a6439ec), - UINT64_C(0x90befffa23631e28), UINT64_C(0xa4506cebde82bde9), - UINT64_C(0xbef9a3f7b2c67915), UINT64_C(0xc67178f2e372532b), - UINT64_C(0xca273eceea26619c), UINT64_C(0xd186b8c721c0c207), - UINT64_C(0xeada7dd6cde0eb1e), UINT64_C(0xf57d4f7fee6ed178), - UINT64_C(0x06f067aa72176fba), UINT64_C(0x0a637dc5a2c898a6), - UINT64_C(0x113f9804bef90dae), UINT64_C(0x1b710b35131c471b), - UINT64_C(0x28db77f523047d84), UINT64_C(0x32caab7b40c72493), - UINT64_C(0x3c9ebe0a15c9bebc), UINT64_C(0x431d67c49c100d4c), - UINT64_C(0x4cc5d4becb3e42b6), UINT64_C(0x597f299cfc657e2a), - UINT64_C(0x5fcb6fab3ad6faec), UINT64_C(0x6c44198c4a475817) -}; - -/* Various logical functions */ - -#define ROR64c(x, y) \ - ( ((((x)&UINT64_C(0xFFFFFFFFFFFFFFFF))>>((uint64_t)(y)&UINT64_C(63))) | \ - ((x)<<((uint64_t)(64-((y)&UINT64_C(63)))))) & UINT64_C(0xFFFFFFFFFFFFFFFF)) - -#define STORE64H(x, y) \ - { (y)[0] = (unsigned char)(((x)>>56)&255); (y)[1] = (unsigned char)(((x)>>48)&255); \ - (y)[2] = (unsigned char)(((x)>>40)&255); (y)[3] = (unsigned char)(((x)>>32)&255); \ - (y)[4] = (unsigned char)(((x)>>24)&255); (y)[5] = (unsigned char)(((x)>>16)&255); \ - (y)[6] = (unsigned char)(((x)>>8)&255); (y)[7] = (unsigned char)((x)&255); } - -#define LOAD64H(x, y) \ - { x = (((uint64_t)((y)[0] & 255))<<56)|(((uint64_t)((y)[1] & 255))<<48) | \ - (((uint64_t)((y)[2] & 255))<<40)|(((uint64_t)((y)[3] & 255))<<32) | \ - (((uint64_t)((y)[4] & 255))<<24)|(((uint64_t)((y)[5] & 255))<<16) | \ - (((uint64_t)((y)[6] & 255))<<8)|(((uint64_t)((y)[7] & 255))); } - - -#define Ch(x,y,z) (z ^ (x & (y ^ z))) -#define Maj(x,y,z) (((x | y) & z) | (x & y)) -#define S(x, n) ROR64c(x, n) -#define R(x, n) (((x) &UINT64_C(0xFFFFFFFFFFFFFFFF))>>((uint64_t)n)) -#define Sigma0(x) (S(x, 28) ^ S(x, 34) ^ S(x, 39)) -#define Sigma1(x) (S(x, 14) ^ S(x, 18) ^ S(x, 41)) -#define Gamma0(x) (S(x, 1) ^ S(x, 8) ^ R(x, 7)) -#define Gamma1(x) (S(x, 19) ^ S(x, 61) ^ R(x, 6)) -#ifndef MIN - #define MIN(x, y) ( ((x)<(y))?(x):(y) ) -#endif - -/* compress 1024-bits */ -static int sha512_compress(sha512_context *md, unsigned char *buf) -{ - uint64_t S[8], W[80], t0, t1; - int i; - - /* copy state into S */ - for (i = 0; i < 8; i++) { - S[i] = md->state[i]; - } - - /* copy the state into 1024-bits into W[0..15] */ - for (i = 0; i < 16; i++) { - LOAD64H(W[i], buf + (8*i)); - } - - /* fill W[16..79] */ - for (i = 16; i < 80; i++) { - W[i] = Gamma1(W[i - 2]) + W[i - 7] + Gamma0(W[i - 15]) + W[i - 16]; - } - -/* Compress */ - #define RND(a,b,c,d,e,f,g,h,i) \ - t0 = h + Sigma1(e) + Ch(e, f, g) + K[i] + W[i]; \ - t1 = Sigma0(a) + Maj(a, b, c);\ - d += t0; \ - h = t0 + t1; - - for (i = 0; i < 80; i += 8) { - RND(S[0],S[1],S[2],S[3],S[4],S[5],S[6],S[7],i+0); - RND(S[7],S[0],S[1],S[2],S[3],S[4],S[5],S[6],i+1); - RND(S[6],S[7],S[0],S[1],S[2],S[3],S[4],S[5],i+2); - RND(S[5],S[6],S[7],S[0],S[1],S[2],S[3],S[4],i+3); - RND(S[4],S[5],S[6],S[7],S[0],S[1],S[2],S[3],i+4); - RND(S[3],S[4],S[5],S[6],S[7],S[0],S[1],S[2],i+5); - RND(S[2],S[3],S[4],S[5],S[6],S[7],S[0],S[1],i+6); - RND(S[1],S[2],S[3],S[4],S[5],S[6],S[7],S[0],i+7); - } - - #undef RND - - - - /* feedback */ - for (i = 0; i < 8; i++) { - md->state[i] = md->state[i] + S[i]; - } - - return 0; -} - - -/** - Initialize the hash state - @param md The hash state you wish to initialize - @return 0 if successful -*/ -int sha512_init(sha512_context * md) { - if (md == NULL) return 1; - - md->curlen = 0; - md->length = 0; - md->state[0] = UINT64_C(0x6a09e667f3bcc908); - md->state[1] = UINT64_C(0xbb67ae8584caa73b); - md->state[2] = UINT64_C(0x3c6ef372fe94f82b); - md->state[3] = UINT64_C(0xa54ff53a5f1d36f1); - md->state[4] = UINT64_C(0x510e527fade682d1); - md->state[5] = UINT64_C(0x9b05688c2b3e6c1f); - md->state[6] = UINT64_C(0x1f83d9abfb41bd6b); - md->state[7] = UINT64_C(0x5be0cd19137e2179); - - return 0; -} - -/** - Process a block of memory though the hash - @param md The hash state - @param in The data to hash - @param inlen The length of the data (octets) - @return 0 if successful -*/ -int sha512_update (sha512_context * md, const unsigned char *in, size_t inlen) -{ - size_t n; - size_t i; - int err; - if (md == NULL) return 1; - if (in == NULL) return 1; - if (md->curlen > sizeof(md->buf)) { - return 1; - } - while (inlen > 0) { - if (md->curlen == 0 && inlen >= 128) { - if ((err = sha512_compress (md, (unsigned char *)in)) != 0) { - return err; - } - md->length += 128 * 8; - in += 128; - inlen -= 128; - } else { - n = MIN(inlen, (128 - md->curlen)); - - for (i = 0; i < n; i++) { - md->buf[i + md->curlen] = in[i]; - } - - - md->curlen += n; - in += n; - inlen -= n; - if (md->curlen == 128) { - if ((err = sha512_compress (md, md->buf)) != 0) { - return err; - } - md->length += 8*128; - md->curlen = 0; - } - } - } - return 0; -} - -/** - Terminate the hash to get the digest - @param md The hash state - @param out [out] The destination of the hash (64 bytes) - @return 0 if successful -*/ - int sha512_final(sha512_context * md, unsigned char *out) - { - int i; - - if (md == NULL) return 1; - if (out == NULL) return 1; - - if (md->curlen >= sizeof(md->buf)) { - return 1; - } - - /* increase the length of the message */ - md->length += md->curlen * UINT64_C(8); - - /* append the '1' bit */ - md->buf[md->curlen++] = (unsigned char)0x80; - - /* if the length is currently above 112 bytes we append zeros - * then compress. Then we can fall back to padding zeros and length - * encoding like normal. - */ - if (md->curlen > 112) { - while (md->curlen < 128) { - md->buf[md->curlen++] = (unsigned char)0; - } - sha512_compress(md, md->buf); - md->curlen = 0; - } - - /* pad upto 120 bytes of zeroes - * note: that from 112 to 120 is the 64 MSB of the length. We assume that you won't hash - * > 2^64 bits of data... :-) - */ -while (md->curlen < 120) { - md->buf[md->curlen++] = (unsigned char)0; -} - - /* store length */ -STORE64H(md->length, md->buf+120); -sha512_compress(md, md->buf); - - /* copy output */ -for (i = 0; i < 8; i++) { - STORE64H(md->state[i], out+(8*i)); -} - -return 0; -} - -int sha512(const unsigned char *message, size_t message_len, unsigned char *out) -{ - sha512_context ctx; - int ret; - if ((ret = sha512_init(&ctx))) return ret; - if ((ret = sha512_update(&ctx, message, message_len))) return ret; - if ((ret = sha512_final(&ctx, out))) return ret; - return 0; -} diff --git a/src/sha512.h b/src/sha512.h deleted file mode 100644 index e56b00e..0000000 --- a/src/sha512.h +++ /dev/null @@ -1,21 +0,0 @@ -#ifndef SHA512_H -#define SHA512_H - -#include <stddef.h> - -#include "fixedint.h" - -/* state */ -typedef struct sha512_context_ { - uint64_t length, state[8]; - size_t curlen; - unsigned char buf[128]; -} sha512_context; - - -int sha512_init(sha512_context * md); -int sha512_final(sha512_context * md, unsigned char *out); -int sha512_update(sha512_context * md, const unsigned char *in, size_t inlen); -int sha512(const unsigned char *message, size_t message_len, unsigned char *out); - -#endif
\ No newline at end of file diff --git a/src/sign.c b/src/sign.c deleted file mode 100644 index 199a839..0000000 --- a/src/sign.c +++ /dev/null @@ -1,31 +0,0 @@ -#include "ed25519.h" -#include "sha512.h" -#include "ge.h" -#include "sc.h" - - -void ed25519_sign(unsigned char *signature, const unsigned char *message, size_t message_len, const unsigned char *public_key, const unsigned char *private_key) { - sha512_context hash; - unsigned char hram[64]; - unsigned char r[64]; - ge_p3 R; - - - sha512_init(&hash); - sha512_update(&hash, private_key + 32, 32); - sha512_update(&hash, message, message_len); - sha512_final(&hash, r); - - sc_reduce(r); - ge_scalarmult_base(&R, r); - ge_p3_tobytes(signature, &R); - - sha512_init(&hash); - sha512_update(&hash, signature, 32); - sha512_update(&hash, public_key, 32); - sha512_update(&hash, message, message_len); - sha512_final(&hash, hram); - - sc_reduce(hram); - sc_muladd(signature + 32, hram, private_key, r); -} diff --git a/src/verify.c b/src/verify.c deleted file mode 100644 index 32f988e..0000000 --- a/src/verify.c +++ /dev/null @@ -1,77 +0,0 @@ -#include "ed25519.h" -#include "sha512.h" -#include "ge.h" -#include "sc.h" - -static int consttime_equal(const unsigned char *x, const unsigned char *y) { - unsigned char r = 0; - - r = x[0] ^ y[0]; - #define F(i) r |= x[i] ^ y[i] - F(1); - F(2); - F(3); - F(4); - F(5); - F(6); - F(7); - F(8); - F(9); - F(10); - F(11); - F(12); - F(13); - F(14); - F(15); - F(16); - F(17); - F(18); - F(19); - F(20); - F(21); - F(22); - F(23); - F(24); - F(25); - F(26); - F(27); - F(28); - F(29); - F(30); - F(31); - #undef F - - return !r; -} - -int ed25519_verify(const unsigned char *signature, const unsigned char *message, size_t message_len, const unsigned char *public_key) { - unsigned char h[64]; - unsigned char checker[32]; - sha512_context hash; - ge_p3 A; - ge_p2 R; - - if (signature[63] & 224) { - return 0; - } - - if (ge_frombytes_negate_vartime(&A, public_key) != 0) { - return 0; - } - - sha512_init(&hash); - sha512_update(&hash, signature, 32); - sha512_update(&hash, public_key, 32); - sha512_update(&hash, message, message_len); - sha512_final(&hash, h); - - sc_reduce(h); - ge_double_scalarmult_vartime(&R, h, &A, signature + 32); - ge_tobytes(checker, &R); - - if (!consttime_equal(checker, signature)) { - return 0; - } - - return 1; -} |