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mirror of https://github.com/trezor/trezor-firmware.git synced 2024-11-12 10:39:00 +00:00
trezor-firmware/legacy/firmware/ethereum.c
2019-10-09 17:05:33 +02:00

772 lines
22 KiB
C

/*
* This file is part of the Trezor project, https://trezor.io/
*
* Copyright (C) 2016 Alex Beregszaszi <alex@rtfs.hu>
* Copyright (C) 2016 Pavol Rusnak <stick@satoshilabs.com>
* Copyright (C) 2016 Jochen Hoenicke <hoenicke@gmail.com>
*
* This library is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with this library. If not, see <http://www.gnu.org/licenses/>.
*/
#include "ethereum.h"
#include "address.h"
#include "crypto.h"
#include "ecdsa.h"
#include "ethereum_networks.h"
#include "ethereum_tokens.h"
#include "fsm.h"
#include "gettext.h"
#include "layout2.h"
#include "memzero.h"
#include "messages.h"
#include "messages.pb.h"
#include "protect.h"
#include "secp256k1.h"
#include "sha3.h"
#include "transaction.h"
#include "util.h"
/* maximum supported chain id. v must fit in an uint32_t. */
#define MAX_CHAIN_ID 2147483629
static bool ethereum_signing = false;
static uint32_t data_total, data_left;
static EthereumTxRequest msg_tx_request;
static CONFIDENTIAL uint8_t privkey[32];
static uint32_t chain_id;
static uint32_t tx_type;
struct SHA3_CTX keccak_ctx = {0};
static inline void hash_data(const uint8_t *buf, size_t size) {
sha3_Update(&keccak_ctx, buf, size);
}
/*
* Push an RLP encoded length to the hash buffer.
*/
static void hash_rlp_length(uint32_t length, uint8_t firstbyte) {
uint8_t buf[4] = {0};
if (length == 1 && firstbyte <= 0x7f) {
/* empty length header */
} else if (length <= 55) {
buf[0] = 0x80 + length;
hash_data(buf, 1);
} else if (length <= 0xff) {
buf[0] = 0xb7 + 1;
buf[1] = length;
hash_data(buf, 2);
} else if (length <= 0xffff) {
buf[0] = 0xb7 + 2;
buf[1] = length >> 8;
buf[2] = length & 0xff;
hash_data(buf, 3);
} else {
buf[0] = 0xb7 + 3;
buf[1] = length >> 16;
buf[2] = length >> 8;
buf[3] = length & 0xff;
hash_data(buf, 4);
}
}
/*
* Push an RLP encoded list length to the hash buffer.
*/
static void hash_rlp_list_length(uint32_t length) {
uint8_t buf[4] = {0};
if (length <= 55) {
buf[0] = 0xc0 + length;
hash_data(buf, 1);
} else if (length <= 0xff) {
buf[0] = 0xf7 + 1;
buf[1] = length;
hash_data(buf, 2);
} else if (length <= 0xffff) {
buf[0] = 0xf7 + 2;
buf[1] = length >> 8;
buf[2] = length & 0xff;
hash_data(buf, 3);
} else {
buf[0] = 0xf7 + 3;
buf[1] = length >> 16;
buf[2] = length >> 8;
buf[3] = length & 0xff;
hash_data(buf, 4);
}
}
/*
* Push an RLP encoded length field and data to the hash buffer.
*/
static void hash_rlp_field(const uint8_t *buf, size_t size) {
hash_rlp_length(size, buf[0]);
hash_data(buf, size);
}
/*
* Push an RLP encoded number to the hash buffer.
* Ethereum yellow paper says to convert to big endian and strip leading zeros.
*/
static void hash_rlp_number(uint32_t number) {
if (!number) {
return;
}
uint8_t data[4] = {0};
data[0] = (number >> 24) & 0xff;
data[1] = (number >> 16) & 0xff;
data[2] = (number >> 8) & 0xff;
data[3] = (number)&0xff;
int offset = 0;
while (!data[offset]) {
offset++;
}
hash_rlp_field(data + offset, 4 - offset);
}
/*
* Calculate the number of bytes needed for an RLP length header.
* NOTE: supports up to 16MB of data (how unlikely...)
* FIXME: improve
*/
static int rlp_calculate_length(int length, uint8_t firstbyte) {
if (length == 1 && firstbyte <= 0x7f) {
return 1;
} else if (length <= 55) {
return 1 + length;
} else if (length <= 0xff) {
return 2 + length;
} else if (length <= 0xffff) {
return 3 + length;
} else {
return 4 + length;
}
}
static int rlp_calculate_number_length(uint32_t number) {
if (number <= 0x7f) {
return 1;
} else if (number <= 0xff) {
return 2;
} else if (number <= 0xffff) {
return 3;
} else if (number <= 0xffffff) {
return 4;
} else {
return 5;
}
}
static void send_request_chunk(void) {
int progress = 1000 - (data_total > 1000000 ? data_left / (data_total / 800)
: data_left * 800 / data_total);
layoutProgress(_("Signing"), progress);
msg_tx_request.has_data_length = true;
msg_tx_request.data_length = data_left <= 1024 ? data_left : 1024;
msg_write(MessageType_MessageType_EthereumTxRequest, &msg_tx_request);
}
static int ethereum_is_canonic(uint8_t v, uint8_t signature[64]) {
(void)signature;
return (v & 2) == 0;
}
static void send_signature(void) {
uint8_t hash[32] = {0}, sig[64] = {0};
uint8_t v = 0;
layoutProgress(_("Signing"), 1000);
/* eip-155 replay protection */
if (chain_id) {
/* hash v=chain_id, r=0, s=0 */
hash_rlp_number(chain_id);
hash_rlp_length(0, 0);
hash_rlp_length(0, 0);
}
keccak_Final(&keccak_ctx, hash);
if (ecdsa_sign_digest(&secp256k1, privkey, hash, sig, &v,
ethereum_is_canonic) != 0) {
fsm_sendFailure(FailureType_Failure_ProcessError, _("Signing failed"));
ethereum_signing_abort();
return;
}
memzero(privkey, sizeof(privkey));
/* Send back the result */
msg_tx_request.has_data_length = false;
msg_tx_request.has_signature_v = true;
if (chain_id > MAX_CHAIN_ID) {
msg_tx_request.signature_v = v;
} else if (chain_id) {
msg_tx_request.signature_v = v + 2 * chain_id + 35;
} else {
msg_tx_request.signature_v = v + 27;
}
msg_tx_request.has_signature_r = true;
msg_tx_request.signature_r.size = 32;
memcpy(msg_tx_request.signature_r.bytes, sig, 32);
msg_tx_request.has_signature_s = true;
msg_tx_request.signature_s.size = 32;
memcpy(msg_tx_request.signature_s.bytes, sig + 32, 32);
msg_write(MessageType_MessageType_EthereumTxRequest, &msg_tx_request);
ethereum_signing_abort();
}
/* Format a 256 bit number (amount in wei) into a human readable format
* using standard ethereum units.
* The buffer must be at least 25 bytes.
*/
static void ethereumFormatAmount(const bignum256 *amnt, const TokenType *token,
char *buf, int buflen) {
bignum256 bn1e9 = {0};
bn_read_uint32(1000000000, &bn1e9);
const char *suffix = NULL;
int decimals = 18;
if (token == UnknownToken) {
strlcpy(buf, "Unknown token value", buflen);
return;
} else if (token != NULL) {
suffix = token->ticker;
decimals = token->decimals;
} else if (bn_is_less(amnt, &bn1e9)) {
suffix = " Wei";
decimals = 0;
} else {
if (tx_type == 1 || tx_type == 6) {
suffix = " WAN";
} else {
ASSIGN_ETHEREUM_SUFFIX(suffix, chain_id);
}
}
bn_format(amnt, NULL, suffix, decimals, 0, false, buf, buflen);
}
static void layoutEthereumConfirmTx(const uint8_t *to, uint32_t to_len,
const uint8_t *value, uint32_t value_len,
const TokenType *token) {
bignum256 val = {0};
uint8_t pad_val[32] = {0};
memzero(pad_val, sizeof(pad_val));
memcpy(pad_val + (32 - value_len), value, value_len);
bn_read_be(pad_val, &val);
char amount[32] = {0};
if (token == NULL) {
if (bn_is_zero(&val)) {
strcpy(amount, _("message"));
} else {
ethereumFormatAmount(&val, NULL, amount, sizeof(amount));
}
} else {
ethereumFormatAmount(&val, token, amount, sizeof(amount));
}
char _to1[] = "to 0x__________";
char _to2[] = "_______________";
char _to3[] = "_______________?";
if (to_len) {
char to_str[41] = {0};
bool rskip60 = false;
// constants from trezor-common/defs/ethereum/networks.json
switch (chain_id) {
case 30:
rskip60 = true;
break;
case 31:
rskip60 = true;
break;
}
ethereum_address_checksum(to, to_str, rskip60, chain_id);
memcpy(_to1 + 5, to_str, 10);
memcpy(_to2, to_str + 10, 15);
memcpy(_to3, to_str + 25, 15);
} else {
strlcpy(_to1, _("to new contract?"), sizeof(_to1));
strlcpy(_to2, "", sizeof(_to2));
strlcpy(_to3, "", sizeof(_to3));
}
layoutDialogSwipe(&bmp_icon_question, _("Cancel"), _("Confirm"), NULL,
_("Send"), amount, _to1, _to2, _to3, NULL);
}
static void layoutEthereumData(const uint8_t *data, uint32_t len,
uint32_t total_len) {
char hexdata[3][17] = {0};
char summary[20] = {0};
uint32_t printed = 0;
for (int i = 0; i < 3; i++) {
uint32_t linelen = len - printed;
if (linelen > 8) {
linelen = 8;
}
data2hex(data, linelen, hexdata[i]);
data += linelen;
printed += linelen;
}
strcpy(summary, "... bytes");
char *p = summary + 11;
uint32_t number = total_len;
while (number > 0) {
*p-- = '0' + number % 10;
number = number / 10;
}
char *summarystart = summary;
if (total_len == printed) summarystart = summary + 4;
layoutDialogSwipe(&bmp_icon_question, _("Cancel"), _("Confirm"), NULL,
_("Transaction data:"), hexdata[0], hexdata[1], hexdata[2],
summarystart, NULL);
}
static void layoutEthereumFee(const uint8_t *value, uint32_t value_len,
const uint8_t *gas_price, uint32_t gas_price_len,
const uint8_t *gas_limit, uint32_t gas_limit_len,
bool is_token) {
bignum256 val = {0}, gas = {0};
uint8_t pad_val[32] = {0};
char tx_value[32] = {0};
char gas_value[32] = {0};
memzero(tx_value, sizeof(tx_value));
memzero(gas_value, sizeof(gas_value));
memzero(pad_val, sizeof(pad_val));
memcpy(pad_val + (32 - gas_price_len), gas_price, gas_price_len);
bn_read_be(pad_val, &val);
memzero(pad_val, sizeof(pad_val));
memcpy(pad_val + (32 - gas_limit_len), gas_limit, gas_limit_len);
bn_read_be(pad_val, &gas);
bn_multiply(&val, &gas, &secp256k1.prime);
ethereumFormatAmount(&gas, NULL, gas_value, sizeof(gas_value));
memzero(pad_val, sizeof(pad_val));
memcpy(pad_val + (32 - value_len), value, value_len);
bn_read_be(pad_val, &val);
if (bn_is_zero(&val)) {
strcpy(tx_value, is_token ? _("token") : _("message"));
} else {
ethereumFormatAmount(&val, NULL, tx_value, sizeof(tx_value));
}
layoutDialogSwipe(&bmp_icon_question, _("Cancel"), _("Confirm"), NULL,
_("Really send"), tx_value, _("paying up to"), gas_value,
_("for gas?"), NULL);
}
/*
* RLP fields:
* - nonce (0 .. 32)
* - gas_price (0 .. 32)
* - gas_limit (0 .. 32)
* - to (0, 20)
* - value (0 .. 32)
* - data (0 ..)
*/
static bool ethereum_signing_check(const EthereumSignTx *msg) {
if (!msg->has_gas_price || !msg->has_gas_limit) {
return false;
}
size_t tolen = msg->has_to ? strlen(msg->to) : 0;
if (tolen != 42 && tolen != 40 && tolen != 0) {
/* Address has wrong length */
return false;
}
// sending transaction to address 0 (contract creation) without a data field
if (tolen == 0 && (!msg->has_data_length || msg->data_length == 0)) {
return false;
}
if (msg->gas_price.size + msg->gas_limit.size > 30) {
// sanity check that fee doesn't overflow
return false;
}
return true;
}
void ethereum_signing_init(EthereumSignTx *msg, const HDNode *node) {
ethereum_signing = true;
sha3_256_Init(&keccak_ctx);
memzero(&msg_tx_request, sizeof(EthereumTxRequest));
/* set fields to 0, to avoid conditions later */
if (!msg->has_value) msg->value.size = 0;
if (!msg->has_data_initial_chunk) msg->data_initial_chunk.size = 0;
bool toset;
uint8_t pubkeyhash[20] = {0};
if (msg->has_to && ethereum_parse(msg->to, pubkeyhash)) {
toset = true;
} else {
msg->to[0] = 0;
toset = false;
memzero(pubkeyhash, sizeof(pubkeyhash));
}
if (!msg->has_nonce) msg->nonce.size = 0;
/* eip-155 chain id */
if (msg->has_chain_id) {
if (msg->chain_id < 1) {
fsm_sendFailure(FailureType_Failure_DataError,
_("Chain Id out of bounds"));
ethereum_signing_abort();
return;
}
chain_id = msg->chain_id;
} else {
chain_id = 0;
}
/* Wanchain txtype */
if (msg->has_tx_type) {
if (msg->tx_type == 1 || msg->tx_type == 6) {
tx_type = msg->tx_type;
} else {
fsm_sendFailure(FailureType_Failure_DataError, _("Txtype out of bounds"));
ethereum_signing_abort();
return;
}
} else {
tx_type = 0;
}
if (msg->has_data_length && msg->data_length > 0) {
if (!msg->has_data_initial_chunk || msg->data_initial_chunk.size == 0) {
fsm_sendFailure(FailureType_Failure_DataError,
_("Data length provided, but no initial chunk"));
ethereum_signing_abort();
return;
}
/* Our encoding only supports transactions up to 2^24 bytes. To
* prevent exceeding the limit we use a stricter limit on data length.
*/
if (msg->data_length > 16000000) {
fsm_sendFailure(FailureType_Failure_DataError,
_("Data length exceeds limit"));
ethereum_signing_abort();
return;
}
data_total = msg->data_length;
} else {
data_total = 0;
}
if (msg->data_initial_chunk.size > data_total) {
fsm_sendFailure(FailureType_Failure_DataError,
_("Invalid size of initial chunk"));
ethereum_signing_abort();
return;
}
// safety checks
if (!ethereum_signing_check(msg)) {
fsm_sendFailure(FailureType_Failure_DataError, _("Safety check failed"));
ethereum_signing_abort();
return;
}
const TokenType *token = NULL;
// detect ERC-20 token
if (toset && msg->value.size == 0 && data_total == 68 &&
msg->data_initial_chunk.size == 68 &&
memcmp(msg->data_initial_chunk.bytes,
"\xa9\x05\x9c\xbb\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00",
16) == 0) {
token = tokenByChainAddress(chain_id, pubkeyhash);
}
if (token != NULL) {
layoutEthereumConfirmTx(msg->data_initial_chunk.bytes + 16, 20,
msg->data_initial_chunk.bytes + 36, 32, token);
} else {
layoutEthereumConfirmTx(pubkeyhash, 20, msg->value.bytes, msg->value.size,
NULL);
}
if (!protectButton(ButtonRequestType_ButtonRequest_SignTx, false)) {
fsm_sendFailure(FailureType_Failure_ActionCancelled, NULL);
ethereum_signing_abort();
return;
}
if (token == NULL && data_total > 0) {
layoutEthereumData(msg->data_initial_chunk.bytes,
msg->data_initial_chunk.size, data_total);
if (!protectButton(ButtonRequestType_ButtonRequest_SignTx, false)) {
fsm_sendFailure(FailureType_Failure_ActionCancelled, NULL);
ethereum_signing_abort();
return;
}
}
layoutEthereumFee(msg->value.bytes, msg->value.size, msg->gas_price.bytes,
msg->gas_price.size, msg->gas_limit.bytes,
msg->gas_limit.size, token != NULL);
if (!protectButton(ButtonRequestType_ButtonRequest_SignTx, false)) {
fsm_sendFailure(FailureType_Failure_ActionCancelled, NULL);
ethereum_signing_abort();
return;
}
/* Stage 1: Calculate total RLP length */
uint32_t rlp_length = 0;
layoutProgress(_("Signing"), 0);
rlp_length += rlp_calculate_length(msg->nonce.size, msg->nonce.bytes[0]);
rlp_length +=
rlp_calculate_length(msg->gas_price.size, msg->gas_price.bytes[0]);
rlp_length +=
rlp_calculate_length(msg->gas_limit.size, msg->gas_limit.bytes[0]);
rlp_length += rlp_calculate_length(toset ? 20 : 0, pubkeyhash[0]);
rlp_length += rlp_calculate_length(msg->value.size, msg->value.bytes[0]);
rlp_length +=
rlp_calculate_length(data_total, msg->data_initial_chunk.bytes[0]);
if (tx_type) {
rlp_length += rlp_calculate_number_length(tx_type);
}
if (chain_id) {
rlp_length += rlp_calculate_number_length(chain_id);
rlp_length += rlp_calculate_length(0, 0);
rlp_length += rlp_calculate_length(0, 0);
}
/* Stage 2: Store header fields */
hash_rlp_list_length(rlp_length);
layoutProgress(_("Signing"), 100);
if (tx_type) {
hash_rlp_number(tx_type);
}
hash_rlp_field(msg->nonce.bytes, msg->nonce.size);
hash_rlp_field(msg->gas_price.bytes, msg->gas_price.size);
hash_rlp_field(msg->gas_limit.bytes, msg->gas_limit.size);
hash_rlp_field(pubkeyhash, toset ? 20 : 0);
hash_rlp_field(msg->value.bytes, msg->value.size);
hash_rlp_length(data_total, msg->data_initial_chunk.bytes[0]);
hash_data(msg->data_initial_chunk.bytes, msg->data_initial_chunk.size);
data_left = data_total - msg->data_initial_chunk.size;
memcpy(privkey, node->private_key, 32);
if (data_left > 0) {
send_request_chunk();
} else {
send_signature();
}
}
void ethereum_signing_txack(const EthereumTxAck *tx) {
if (!ethereum_signing) {
fsm_sendFailure(FailureType_Failure_UnexpectedMessage,
_("Not in Ethereum signing mode"));
layoutHome();
return;
}
if (tx->data_chunk.size > data_left) {
fsm_sendFailure(FailureType_Failure_DataError, _("Too much data"));
ethereum_signing_abort();
return;
}
if (data_left > 0 && (!tx->has_data_chunk || tx->data_chunk.size == 0)) {
fsm_sendFailure(FailureType_Failure_DataError,
_("Empty data chunk received"));
ethereum_signing_abort();
return;
}
hash_data(tx->data_chunk.bytes, tx->data_chunk.size);
data_left -= tx->data_chunk.size;
if (data_left > 0) {
send_request_chunk();
} else {
send_signature();
}
}
void ethereum_signing_abort(void) {
if (ethereum_signing) {
memzero(privkey, sizeof(privkey));
layoutHome();
ethereum_signing = false;
}
}
static void ethereum_message_hash(const uint8_t *message, size_t message_len,
uint8_t hash[32]) {
struct SHA3_CTX ctx = {0};
sha3_256_Init(&ctx);
sha3_Update(&ctx, (const uint8_t *)"\x19" "Ethereum Signed Message:\n", 26);
uint8_t c = 0;
if (message_len >= 1000000000) {
c = '0' + message_len / 1000000000 % 10;
sha3_Update(&ctx, &c, 1);
}
if (message_len >= 100000000) {
c = '0' + message_len / 100000000 % 10;
sha3_Update(&ctx, &c, 1);
}
if (message_len >= 10000000) {
c = '0' + message_len / 10000000 % 10;
sha3_Update(&ctx, &c, 1);
}
if (message_len >= 1000000) {
c = '0' + message_len / 1000000 % 10;
sha3_Update(&ctx, &c, 1);
}
if (message_len >= 100000) {
c = '0' + message_len / 100000 % 10;
sha3_Update(&ctx, &c, 1);
}
if (message_len >= 10000) {
c = '0' + message_len / 10000 % 10;
sha3_Update(&ctx, &c, 1);
}
if (message_len >= 1000) {
c = '0' + message_len / 1000 % 10;
sha3_Update(&ctx, &c, 1);
}
if (message_len >= 100) {
c = '0' + message_len / 100 % 10;
sha3_Update(&ctx, &c, 1);
}
if (message_len >= 10) {
c = '0' + message_len / 10 % 10;
sha3_Update(&ctx, &c, 1);
}
c = '0' + message_len % 10;
sha3_Update(&ctx, &c, 1);
sha3_Update(&ctx, message, message_len);
keccak_Final(&ctx, hash);
}
void ethereum_message_sign(const EthereumSignMessage *msg, const HDNode *node,
EthereumMessageSignature *resp) {
uint8_t pubkeyhash[20] = {0};
if (!hdnode_get_ethereum_pubkeyhash(node, pubkeyhash)) {
return;
}
resp->has_address = true;
resp->address[0] = '0';
resp->address[1] = 'x';
ethereum_address_checksum(pubkeyhash, resp->address + 2, false, 0);
// ethereum_address_checksum adds trailing zero
uint8_t hash[32] = {0};
ethereum_message_hash(msg->message.bytes, msg->message.size, hash);
uint8_t v = 0;
if (ecdsa_sign_digest(&secp256k1, node->private_key, hash,
resp->signature.bytes, &v, ethereum_is_canonic) != 0) {
fsm_sendFailure(FailureType_Failure_ProcessError, _("Signing failed"));
return;
}
resp->has_signature = true;
resp->signature.bytes[64] = 27 + v;
resp->signature.size = 65;
msg_write(MessageType_MessageType_EthereumMessageSignature, resp);
}
int ethereum_message_verify(const EthereumVerifyMessage *msg) {
if (msg->signature.size != 65) {
fsm_sendFailure(FailureType_Failure_DataError, _("Malformed signature"));
return 1;
}
uint8_t pubkeyhash[20] = {0};
if (!ethereum_parse(msg->address, pubkeyhash)) {
fsm_sendFailure(FailureType_Failure_DataError, _("Malformed address"));
return 1;
}
uint8_t pubkey[65] = {0};
uint8_t hash[32] = {0};
ethereum_message_hash(msg->message.bytes, msg->message.size, hash);
/* v should be 27, 28 but some implementations use 0,1. We are
* compatible with both.
*/
uint8_t v = msg->signature.bytes[64];
if (v >= 27) {
v -= 27;
}
if (v >= 2 || ecdsa_recover_pub_from_sig(
&secp256k1, pubkey, msg->signature.bytes, hash, v) != 0) {
return 2;
}
struct SHA3_CTX ctx = {0};
sha3_256_Init(&ctx);
sha3_Update(&ctx, pubkey + 1, 64);
keccak_Final(&ctx, hash);
/* result are the least significant 160 bits */
if (memcmp(pubkeyhash, hash + 12, 20) != 0) {
return 2;
}
return 0;
}
bool ethereum_parse(const char *address, uint8_t pubkeyhash[20]) {
memzero(pubkeyhash, 20);
size_t len = strlen(address);
if (len == 40) {
// do nothing
} else if (len == 42) {
// check for "0x" prefix and strip it when required
if (address[0] != '0') return false;
if (address[1] != 'x' && address[1] != 'X') return false;
address += 2;
len -= 2;
} else {
return false;
}
for (size_t i = 0; i < len; i++) {
if (address[i] >= '0' && address[i] <= '9') {
pubkeyhash[i / 2] |= (address[i] - '0') << ((1 - (i % 2)) * 4);
} else if (address[i] >= 'a' && address[i] <= 'f') {
pubkeyhash[i / 2] |= ((address[i] - 'a') + 10) << ((1 - (i % 2)) * 4);
} else if (address[i] >= 'A' && address[i] <= 'F') {
pubkeyhash[i / 2] |= ((address[i] - 'A') + 10) << ((1 - (i % 2)) * 4);
} else {
return false;
}
}
return true;
}