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/*
 * Copyright 2011 Google Inc.
 * Copyright 2018 Andreas Schildbach
 *
 * 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.
 */

package org.bitcoinj.core;

import java.math.BigInteger;
import java.util.Arrays;

/**
 * Base58 is a way to encode Bitcoin addresses (or arbitrary data) as alphanumeric strings.
 * 

* Note that this is not the same base58 as used by Flickr, which you may find referenced around the Internet. *

* You may want to consider working with {@link PrefixedChecksummedBytes} instead, which * adds support for testing the prefix and suffix bytes commonly found in addresses. *

* Satoshi explains: why base-58 instead of standard base-64 encoding? *

    *
  • Don't want 0OIl characters that look the same in some fonts and * could be used to create visually identical looking account numbers.
  • *
  • A string with non-alphanumeric characters is not as easily accepted as an account number.
  • *
  • E-mail usually won't line-break if there's no punctuation to break at.
  • *
  • Doubleclicking selects the whole number as one word if it's all alphanumeric.
  • *
*

* However, note that the encoding/decoding runs in O(n²) time, so it is not useful for large data. *

* The basic idea of the encoding is to treat the data bytes as a large number represented using * base-256 digits, convert the number to be represented using base-58 digits, preserve the exact * number of leading zeros (which are otherwise lost during the mathematical operations on the * numbers), and finally represent the resulting base-58 digits as alphanumeric ASCII characters. */ public class Base58 { public static final char[] ALPHABET = "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz".toCharArray(); private static final char ENCODED_ZERO = ALPHABET[0]; private static final int[] INDEXES = new int[128]; static { Arrays.fill(INDEXES, -1); for (int i = 0; i < ALPHABET.length; i++) { INDEXES[ALPHABET[i]] = i; } } /** * Encodes the given bytes as a base58 string (no checksum is appended). * * @param input the bytes to encode * @return the base58-encoded string */ public static String encode(byte[] input) { if (input.length == 0) { return ""; } // Count leading zeros. int zeros = 0; while (zeros < input.length && input[zeros] == 0) { ++zeros; } // Convert base-256 digits to base-58 digits (plus conversion to ASCII characters) input = Arrays.copyOf(input, input.length); // since we modify it in-place char[] encoded = new char[input.length * 2]; // upper bound int outputStart = encoded.length; for (int inputStart = zeros; inputStart < input.length; ) { encoded[--outputStart] = ALPHABET[divmod(input, inputStart, 256, 58)]; if (input[inputStart] == 0) { ++inputStart; // optimization - skip leading zeros } } // Preserve exactly as many leading encoded zeros in output as there were leading zeros in input. while (outputStart < encoded.length && encoded[outputStart] == ENCODED_ZERO) { ++outputStart; } while (--zeros >= 0) { encoded[--outputStart] = ENCODED_ZERO; } // Return encoded string (including encoded leading zeros). return new String(encoded, outputStart, encoded.length - outputStart); } /** * Encodes the given version and bytes as a base58 string. A checksum is appended. * * @param version the version to encode * @param payload the bytes to encode, e.g. pubkey hash * @return the base58-encoded string */ public static String encodeChecked(int version, byte[] payload) { if (version < 0 || version > 255) throw new IllegalArgumentException("Version not in range."); // A stringified buffer is: // 1 byte version + data bytes + 4 bytes check code (a truncated hash) byte[] addressBytes = new byte[1 + payload.length + 4]; addressBytes[0] = (byte) version; System.arraycopy(payload, 0, addressBytes, 1, payload.length); byte[] checksum = Sha256Hash.hashTwice(addressBytes, 0, payload.length + 1); System.arraycopy(checksum, 0, addressBytes, payload.length + 1, 4); return Base58.encode(addressBytes); } /** * Decodes the given base58 string into the original data bytes. * * @param input the base58-encoded string to decode * @return the decoded data bytes * @throws AddressFormatException if the given string is not a valid base58 string */ public static byte[] decode(String input) throws AddressFormatException { if (input.length() == 0) { return new byte[0]; } // Convert the base58-encoded ASCII chars to a base58 byte sequence (base58 digits). byte[] input58 = new byte[input.length()]; for (int i = 0; i < input.length(); ++i) { char c = input.charAt(i); int digit = c < 128 ? INDEXES[c] : -1; if (digit < 0) { throw new AddressFormatException.InvalidCharacter(c, i); } input58[i] = (byte) digit; } // Count leading zeros. int zeros = 0; while (zeros < input58.length && input58[zeros] == 0) { ++zeros; } // Convert base-58 digits to base-256 digits. byte[] decoded = new byte[input.length()]; int outputStart = decoded.length; for (int inputStart = zeros; inputStart < input58.length; ) { decoded[--outputStart] = divmod(input58, inputStart, 58, 256); if (input58[inputStart] == 0) { ++inputStart; // optimization - skip leading zeros } } // Ignore extra leading zeroes that were added during the calculation. while (outputStart < decoded.length && decoded[outputStart] == 0) { ++outputStart; } // Return decoded data (including original number of leading zeros). return Arrays.copyOfRange(decoded, outputStart - zeros, decoded.length); } public static BigInteger decodeToBigInteger(String input) throws AddressFormatException { return new BigInteger(1, decode(input)); } /** * Decodes the given base58 string into the original data bytes, using the checksum in the * last 4 bytes of the decoded data to verify that the rest are correct. The checksum is * removed from the returned data. * * @param input the base58-encoded string to decode (which should include the checksum) * @throws AddressFormatException if the input is not base 58 or the checksum does not validate. */ public static byte[] decodeChecked(String input) throws AddressFormatException { byte[] decoded = decode(input); if (decoded.length < 4) throw new AddressFormatException.InvalidDataLength("Input too short: " + decoded.length); byte[] data = Arrays.copyOfRange(decoded, 0, decoded.length - 4); byte[] checksum = Arrays.copyOfRange(decoded, decoded.length - 4, decoded.length); byte[] actualChecksum = Arrays.copyOfRange(Sha256Hash.hashTwice(data), 0, 4); if (!Arrays.equals(checksum, actualChecksum)) throw new AddressFormatException.InvalidChecksum(); return data; } /** * Divides a number, represented as an array of bytes each containing a single digit * in the specified base, by the given divisor. The given number is modified in-place * to contain the quotient, and the return value is the remainder. * * @param number the number to divide * @param firstDigit the index within the array of the first non-zero digit * (this is used for optimization by skipping the leading zeros) * @param base the base in which the number's digits are represented (up to 256) * @param divisor the number to divide by (up to 256) * @return the remainder of the division operation */ private static byte divmod(byte[] number, int firstDigit, int base, int divisor) { // this is just long division which accounts for the base of the input digits int remainder = 0; for (int i = firstDigit; i < number.length; i++) { int digit = (int) number[i] & 0xFF; int temp = remainder * base + digit; number[i] = (byte) (temp / divisor); remainder = temp % divisor; } return (byte) remainder; } }





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