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package com.pippsford.encoding;

import java.util.Arrays;
import javax.annotation.Nullable;


/**
 * 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. * *

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. *
  • Double-clicking 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 implements Converter { private static final char[] ALPHABET = "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz".toCharArray(); private static final char ENCODED_ZERO = ALPHABET[0]; private static final int[] INDEXES = new int[128]; /** * 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; } static { Arrays.fill(INDEXES, -1); for (int i = 0; i < ALPHABET.length; i++) { INDEXES[ALPHABET[i]] = i; } } @Nullable @Override public char[] clean(char[] text) { if (text == null) { return null; } char[] buf = new char[text.length]; int pos = 0; for (char ch : text) { if (ch < 128 && INDEXES[ch] != -1) { buf[pos] = ch; pos++; } } return TextToByte.trim(buf, pos); } /** * Decodes the given base58 string into the original data bytes. * * @param input the base58-encoded string to decode * * @return the decoded data bytes */ @Nullable public byte[] decode(char[] input) { if (input == null) { return null; } 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[i]; int digit = c < 128 ? INDEXES[c] : -1; if (digit < 0) { throw new IllegalArgumentException("Illegal character " + c + " at position " + 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; int inputStart = zeros; while (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); } /** * Encodes the given bytes as a base58 string (no checksum is appended). * * @param input the bytes to encode * * @return the base58-encoded string */ @Nullable public char[] encodeChars(byte[] input) { if (input == null) { return null; } if (input.length == 0) { return new char[0]; } // 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; int inputStart = zeros; while (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). char[] out = new char[encoded.length - outputStart]; System.arraycopy(encoded, outputStart, out, 0, out.length); return out; } }





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