array()); /** * Continued-hashing * * @author Roland Haeder * @copyright Copyright (c) 2013 by Core Developer Team * @license See LICENSE (public-domain) */ /** * Calculates a simple but stronger hash from given string. No salts are being * added here. * * @param $str The string to be hashed * @return $hash The hash from string $str */ function hashString ($str) { // Calculate strong hash from given string $hash = mhash($GLOBALS['hash_algo'], $str); // Return it hexadecimal-encoded return bin2hex($hash); } /** * Multiple-hashes given string. This is done by hashing the given string and * then hashing the generated hash again. * * @param $str The string to be hashed 4 times * @return $hash The generated hash */ function multipleHashString ($str) { // Generate hash from given hash $hash = hashString($str); // Now over-hash it for ($idx = 0; $idx < ($GLOBALS['hash_cycles'] - 1); $idx++) { // Over-hash the given hash $hash = hashString($hash); } // END - for // Return it return $hash; } /** * Calculates a "modula-hash" based given two hashes. * * @param $hash1 Hash 1 * @param $hash2 Hash 2 */ function modulaHash ($hash1, $hash2) { // Both must have same length assert(strlen($hash1) === strlen($hash2)); // Init propability array with 256 zeros $propability = array_fill(0, 256, 0); // Init new hash $modulaHash = ''; // "Walk" trough first hash and get every 2 byte of both hashes for ($idx = 0; $idx < strlen($hash1); $idx += 2) { // Init modula value $mod = 0; // Get both hash parts and convert to ASCII number $part1 = hexdec(substr($hash1, $idx, 2)); $part2 = hexdec(substr($hash2, $idx, 2)); // Debug message //* NOISY-DEBUG: */ print 'part1=' . $part1 . ',part2=' . $part2 . PHP_EOL; /* * If part1 is larget part2, part1 is divident and vise-versa. But don't do it * if one is zero */ if (($part1 > $part2) && ($part2 > 0)) { // 'part1' is larger than 'part2' $mod = $part1 % $part2; } elseif (($part2 > $part1) && ($part1 > 0)) { // 'part2' is larger than 'part1' $mod = $part2 % $part1; } // $mod is now mostly a small number so try to "improve" it //* NOISY-DEBUG: */ print 'mod[' . gettype($mod) . ']=' . $mod . ' - BEFORE!' . PHP_EOL; $mod = (int) round(sqrt($mod * ($part1 + $part2 + $mod ^ 7) / 3)); //* NOISY-DEBUG: */ print 'mod[' . gettype($mod) . ']=' . $mod . ' - AFTER!' . PHP_EOL; // Make sure it is valid assert($mod >= 0); assert($mod <= 255); // "Invert" the result against 255 as zeros are not good for later calculations $mod = 255 - $mod; // Add it to propability array for debugging $propability[$mod]++; // Encode to hex, pre-pad it with zeros and add to new hash $modulaHash .= padHex($mod); } // END - for // Debug propability array $cnt = 0; foreach ($propability as $value) { // Is the value larger than one, means the number has been found at least once? if ($value > 0) { // Then count it $cnt++; } // END - if } // END - foreach // Debug message //* NOISY-DEBUG: */ print('cnt=' . $cnt . '/' . strlen($hash1) / 2 . PHP_EOL); // Modula hash must have same length as input hash assert(strlen($modulaHash) === strlen($hash1)); // Return modula hash return $modulaHash; } /** * Calculates a "sqrt-hash" based given two hashes and single-hash it * * @param $hash1 Hash 1 * @param $hash2 Hash 2 */ function sqrtHash ($hash1, $hash2) { // Both must have same length assert(strlen($hash1) === strlen($hash2)); // Init new hash $sqrtHash = ''; // "Walk" trough first hash and get every 2 byte of both hashes for ($idx = 0; $idx < strlen($hash1); $idx += 2) { // Init modula value $mod = 0; // Get both hash parts and convert to ASCII number $part1 = hexdec(substr($hash1, $idx, 2)); $part2 = hexdec(substr($hash2, $idx, 2)); // Calculate square root of both parts being multiplied and round up, then "invert" it against 255 $sqrt = intval(255 - ceil(sqrt($part1 * $part2))); // Encode to hex, pre-pad it with zeros and add to new hash $sqrtHash .= padHex($sqrt); } // END - for // "sqrt-hash" must have same length as input hash assert(strlen($sqrtHash) === strlen($hash1)); // Hash reversed "sqrt-hash" again and return it return hashString(strrev($sqrtHash)); } /** * Converts a number between 0 and 255 into a zero-padded hexadecimal string * * @param $num Number between 0 and 255 * @return $hex Hexadecimal string, padded with zeros */ function padHex ($num) { // Must be a integer number and between 0 and 255 assert(is_int($num)); assert($num >= 0); assert($num <= 255); // Convert it $hex = str_pad(dechex($num), 2, '0', STR_PAD_LEFT); // ... and return it return $hex; } /** * Calculates sum from given hash * * @param $hash Hash to calculate sum from * @return $sum Sum from given hash */ function calculateSumFromHash ($hash) { // Everything starts with zero ... $sum = 0; // Loop through hash for ($idx = 0; $idx < (strlen($hash) / 2); $idx++) { // And add it $sum = $sum + hexdec(substr($hash, $idx, 2)); } // END - for // And return it return $sum; } /** * Calculates new nonce * * @return void */ function calculateNonce () { // Linear incrementation $GLOBALS['nonce'] += $GLOBALS['none_increment']; } /** * Writes/flushes check-point file * * @param $hash Modula hash (or hash to save) * @return void */ function flushCheckPointFile ($hash) { // Display message print ('FLUSHING: Writing ' . count($GLOBALS['found_hashes']) . ' blocks ...' . PHP_EOL); // Start timer $timer = microtime(TRUE); // Flush data file_put_contents( CHECK_POINT, $GLOBALS['total_blocks'] . ':' . $GLOBALS['total_reward'] . ':' . $GLOBALS['total_hashes'] . ':' . $GLOBALS['total_found'] . ':' . $GLOBALS['total_restarts'] . ':' . $GLOBALS['hash_cycles'] . ':' . base64_encode((float) $GLOBALS['nonce']) . ':' . $hash . ':' . $GLOBALS['root_hash'] . ':' . base64_encode(gzcompress(json_encode($GLOBALS['found_hashes']))) ); // Set time $GLOBALS['time_flush'] = microtime(TRUE); print ('FLUSHING: Took ' . ($GLOBALS['time_flush'] - $timer) . ' seconds.' . PHP_EOL); } /** * Adds a found hash and flushes the checkpoint file * * @param $hash Hash to save */ function addFoundHash ($hash) { // Increment counter $GLOBALS['total_found']++; // Add hash to array array_push($GLOBALS['found_hashes'][$GLOBALS['total_blocks']], array( 'modula_hash' => $GLOBALS['modula_hash'], 'genesis_hash' => $GLOBALS['genesis_hash'], 'root_hash' => $GLOBALS['root_hash'], 'nonce' => (float) $GLOBALS['nonce'], 'iter' => $GLOBALS['iteration'], 'hashes_block' => $GLOBALS['hashes_block'], 'hash_cycles' => $GLOBALS['hash_cycles'], 'nonce_hash' => $hash )); // Found hash: print ('FOUND: hash=' . $hash . ',nonce=' . $GLOBALS['nonce'] . ',total_found=' . $GLOBALS['total_found'] . PHP_EOL); // Set time as a new hash was found $GLOBALS['found_time'] = microtime(TRUE); // Flush check-point file after new hash is found flushCheckPointFile($hash); // Use nonceHash as next modula hash setModulaHash($hash); } /** * Initializes nonce * * @return void */ function initNonce () { $GLOBALS['nonce'] = 1 / (mt_rand() ^ pi()); print (__FUNCTION__ . ': nonce=' . $GLOBALS['nonce'] . PHP_EOL); } /** * Sets modula hash and calculates sum of it * * @param $hash Hash to set as "modula hash" * @return void */ function setModulaHash ($hash) { $GLOBALS['modula_hash'] = $hash; $GLOBALS['sum_modula'] = calculateSumFromHash($GLOBALS['modula_hash']); } /* * Calculate "genesis" hashes, please note that these "genesis strings" are now * known to the public as you can read them here in source code and therefore I * will not use them for the real genesis hashes. */ $gensisHashes = array( // A famous quote from Deus Ex 2 - Invisible War multiplehashString('"Informations must be free." - AI Helios from Deus Ex'), // My name + URL of my first StatusNet instance multipleHashString('Roland Haeder, https://status.mxchange.org'), // A famous quote from Linus Torwalds multipleHashString('"Software is like sex. Its better when its free." - Linus Torwalds'), // Well ... multipleHashString('September 11 is a big lie.'), // GNU is not Uni* multipleHashString('GNU is Not Uni*.'), // WINE is not an emulator multipleHashString('WINE Is Not an Emulator.'), // FlightGear - Fly free! multipleHashString('FlightGear - Fly free!'), // Quote from Linus Torwalds multipleHashString('Your code is shit. Your argument is shit.'), ); // Calculate "modula hash" from 1st/4th and 2nd/3rd $modulaHashes = array( // "Block" 0 modulaHash($gensisHashes[0], $gensisHashes[3]), modulaHash($gensisHashes[1], $gensisHashes[2]), // "Block" 1 modulaHash($gensisHashes[4], $gensisHashes[7]), modulaHash($gensisHashes[5], $gensisHashes[6]), ); // Calculate "sqrt hash" $sqrtHashes = array( sqrtHash($modulaHashes[0], $modulaHashes[1]), sqrtHash($modulaHashes[2], $modulaHashes[3]) ); // Calulcate modula hash setModulaHash(multipleHashString(modulaHash($sqrtHashes[0], $sqrtHashes[1]))); // This is also the "genesis" hash and first root hash $GLOBALS['genesis_hash'] = $GLOBALS['modula_hash']; $GLOBALS['root_hash'] = $GLOBALS['modula_hash']; // Output results print ('hashes=' . print_r($gensisHashes, TRUE)); print ('modulaHashes=' . print_r($modulaHashes, TRUE)); print ('sqrtHashes=' . print_r($sqrtHashes, TRUE)); print ('modulaHash=' . $GLOBALS['modula_hash'] . PHP_EOL); // Total reward + hashes $GLOBALS['total_reward'] = 0; $GLOBALS['total_hashes'] = 0; $GLOBALS['total_found'] = 0; $GLOBALS['total_blocks'] = 0; $GLOBALS['found_time'] = microtime(TRUE); // Is the check point there? if (is_readable(CHECK_POINT)) { // Then load it $checkPoint = file_get_contents(CHECK_POINT); // Explode it $data = explode(':', $checkPoint); // Assert on count assert(count($data) == 10); // 1st element is nonce, 2nd hash, 3rd found hashes $GLOBALS['total_blocks'] = $data[0]; $GLOBALS['total_reward'] = $data[1]; $GLOBALS['total_hashes'] = $data[2]; $GLOBALS['total_found'] = $data[3]; $GLOBALS['total_restarts'] = $data[4]; $GLOBALS['hash_cycles'] = intval($data[5]); $GLOBALS['nonce'] = (float) base64_decode($data[6]); $GLOBALS['root_hash'] = $data[8]; $GLOBALS['found_hashes'] = json_decode(gzuncompress(base64_decode($data[9]))); // Set modula hash setModulaHash($data[7]); } else { // Create nonce (small) initNonce(); } // Output again print ('modulaHash=' . $GLOBALS['modula_hash'] . PHP_EOL); print ('nonce=' . $GLOBALS['nonce'] . PHP_EOL); print ('found=' . count($GLOBALS['found_hashes'][$GLOBALS['total_blocks']]) . PHP_EOL); // Start "mining" while (TRUE) { // Init hash-per-block counter and hashrate $GLOBALS['hashes_block'] = 0; $hashrate = 0; // Wait for block_size iterations (= found hashes). This is one block $timeBlock = microtime(TRUE); $timeDisplay = $timeBlock; $GLOBALS['time_flush'] = $timeBlock; // Time waited for a good block again (no iteration) $timeBadHashes = 0; while (count($GLOBALS['found_hashes'][$GLOBALS['total_blocks']]) <= $GLOBALS['block_size']) { // Create hash from modulaHash ("genesis hash") and nonce $nonceHash = multipleHashString($GLOBALS['nonce'] . $GLOBALS['modula_hash']); // Calculate sums $sumNonce = calculateSumFromHash($nonceHash); // Init counter $GLOBALS['iteration'] = 0; $GLOBALS['iteration_second'] = 0; // Now start the "mining" ... $timeHash = microtime(TRUE); while ($sumNonce < $GLOBALS['sum_modula']) { // Calculate new nonce calculateNonce(); // And hash again $nonceHash = multipleHashString($GLOBALS['nonce'] . $GLOBALS['modula_hash']); // Calculate sums $sumNonce = calculateSumFromHash($nonceHash); // Time spend in loop $testTime = abs(microtime(TRUE) - $timeDisplay); // Calculate hashrate/sec $hashrate = 1 / $testTime * $GLOBALS['iteration_second'] * $GLOBALS['hash_cycles']; // Only every second if ($testTime >= 1) { // Display hash rate print ('hashrate=' . round($hashrate) . ' hashes/sec,iterSecond=' . $GLOBALS['iteration_second'] . ' iterations/sec' . PHP_EOL); // Reset timer $timeDisplay = microtime(TRUE); $GLOBALS['iteration_second'] = 0; } // END - if // Time spend from last flush $testTime = abs(microtime(TRUE) - $GLOBALS['time_flush']); // Only once per 10 seconds if ($testTime >= $GLOBALS['flush_file_time']) { // Flush check-point file flushCheckPointFile($GLOBALS['modula_hash']); } // END - if // Time spend from last found block $testTime = abs(microtime(TRUE) - $GLOBALS['found_time']); // Is the last found time to far away? if ($testTime >= $GLOBALS['restart_search_time']) { // Count up restart $GLOBALS['total_restarts']++; // Output message print('total_restarts=' . $GLOBALS['total_restarts'] . ' - Restarting ...'); // Count all root (genesis) hashes $rootHashes = array(); foreach ($GLOBALS['found_hashes'] as $block) { // "Walk" through all blocks foreach ($block as $hash) { if (!isset($hash['root_hash'])) { // Bad file die('INCONSISTENCY: hash=' . print_r($hash, TRUE)); } // END - if if (isset($rootHashes[$hash['root_hash']])) { // Count up $rootHashes[$hash['root_hash']]++; } else { // First entry found $rootHashes[$hash['root_hash']] = 1; } } // END - foreach } // END - foreach // Find best root hash $bestRootHash = ''; $bestRootCount = 0; foreach ($rootHashes as $hash => $count) { // Debug message //* NOISY-DEBUG: */ print ('hash=' . $hash . ',count=' . $count . ',bestRootHash=' . $bestRootHash . ',bestRootCount=' . $bestRootCount . PHP_EOL); // Is a better one found? if ($count > $bestRootCount) { // Remember it $bestRootHash = $hash; $bestRootCount = $count; } // END - if } // END - foreach // Output message print ('bestRootHash=' . $bestRootHash . ',bestRootCount=' . $bestRootCount . PHP_EOL); // Search for latest best root hash foreach ($GLOBALS['found_hashes'] as $block) { // "Walk" through whole block and search for first appearance of best root hash foreach ($block as $idx => $hash) { // Is the root hash there? if ($hash['root_hash'] == $bestRootHash) { // Set found modula hash as new root and current modula hash $GLOBALS['root_hash'] = $hash['nonce_hash']; setModulaHash($hash['nonce_hash']); print ('idx=' . $idx . ',modulaHash=' . $GLOBALS['root_hash'] . ' - Is now new root hash!' . PHP_EOL); // Reset "found time" (when a hash was found) $GLOBALS['found_time'] = microtime(TRUE); // Re-initialize nonce initNonce(); // Abort search break; } // END - if } // END - for } // END - foreach } // END - if // Next round $GLOBALS['iteration']++; $GLOBALS['iteration_second']++; //print ('nonce=' . $GLOBALS['nonce'] . ',iteration=' . $GLOBALS['iteration'] . PHP_EOL); //print ('nonceHash=' . $nonceHash . PHP_EOL); //print ('sumNonce=' . $sumNonce . PHP_EOL); //print ('sumModula=' . $GLOBALS['sum_modula'] . PHP_EOL); } // END - while // If the iteration is zero, then no hash is found if ($GLOBALS['iteration'] == 0) { // Bad hash found $timeBadHashes += abs(microtime(TRUE) - $timeHash); // And next round print('BAD:nonce=' . $GLOBALS['nonce'] . PHP_EOL); // Nothing found, so calculate new nonce calculateNonce(); continue; } // END - if // Add amount of hashes per block (multiple-hash) $GLOBALS['hashes_block'] += $GLOBALS['iteration'] * $GLOBALS['hash_cycles'] + $GLOBALS['hash_cycles']; // Push found hash addFoundHash($nonceHash); } // END - while // Time taken for one $timeBlock = abs(microtime(TRUE) - $timeBlock); // Calculate reward $reward = abs($timeBlock - $timeBadHashes) / $hashrate * $GLOBALS['hashes_block'] / $GLOBALS['block_size'] * 1000; print ('timeBlock=' . $timeBlock . ',timeBadHashes=' . $timeBadHashes . ',hashesPerBlock=' . $GLOBALS['hashes_block'] .',reward=' . $reward . PHP_EOL); // Block completed $GLOBALS['total_hashes'] += $GLOBALS['hashes_block']; $GLOBALS['total_blocks']++; $GLOBALS['hashes_block'] = 0; // Init next block $GLOBALS['found_hashes'][$GLOBALS['total_blocks']] = array(); // Calculate new nonce calculateNonce(); // Add reward to total $GLOBALS['total_reward'] += $reward; // Calculate average block value $blockValue = $GLOBALS['total_reward'] / $GLOBALS['total_blocks'] * $GLOBALS['total_hashes'] / ($GLOBALS['block_size'] * $GLOBALS['total_blocks']); // Calculate reward per hour (= 3600 seconds) $rewardPerHour = $GLOBALS['total_reward'] / abs(microtime(TRUE) - START_TIME) * 3600; print ('totalReward=' . $GLOBALS['total_reward'] . ',blockValue=' . $blockValue . ',rewardPerHour=' . $rewardPerHour . PHP_EOL); } // END - while // [EOF] ?>