package org.bouncycastle.util;

import java.math.BigInteger;
import java.security.SecureRandom;

BigInteger utilities.
/** * BigInteger utilities. */
public final class BigIntegers { public static final BigInteger ZERO = BigInteger.valueOf(0); public static final BigInteger ONE = BigInteger.valueOf(1); private static final BigInteger TWO = BigInteger.valueOf(2); private static final BigInteger THREE = BigInteger.valueOf(3); private static final int MAX_ITERATIONS = 1000;
Return the passed in value as an unsigned byte array.
Params:
  • value – value to be converted.
Returns:a byte array without a leading zero byte if present in the signed encoding.
/** * Return the passed in value as an unsigned byte array. * * @param value value to be converted. * @return a byte array without a leading zero byte if present in the signed encoding. */
public static byte[] asUnsignedByteArray( BigInteger value) { byte[] bytes = value.toByteArray(); if (bytes[0] == 0) { byte[] tmp = new byte[bytes.length - 1]; System.arraycopy(bytes, 1, tmp, 0, tmp.length); return tmp; } return bytes; }
Return the passed in value as an unsigned byte array.
Params:
  • value – value to be converted.
Returns:a byte array without a leading zero byte if present in the signed encoding.
/** * Return the passed in value as an unsigned byte array. * * @param value value to be converted. * @return a byte array without a leading zero byte if present in the signed encoding. */
public static byte[] asUnsignedByteArray(int length, BigInteger value) { byte[] bytes = value.toByteArray(); if (bytes.length == length) { return bytes; } int start = bytes[0] == 0 ? 1 : 0; int count = bytes.length - start; if (count > length) { throw new IllegalArgumentException("standard length exceeded for value"); } byte[] tmp = new byte[length]; System.arraycopy(bytes, start, tmp, tmp.length - count, count); return tmp; }
Return a random BigInteger not less than 'min' and not greater than 'max'
Params:
  • min – the least value that may be generated
  • max – the greatest value that may be generated
  • random – the source of randomness
Returns:a random BigInteger value in the range [min,max]
/** * Return a random BigInteger not less than 'min' and not greater than 'max' * * @param min the least value that may be generated * @param max the greatest value that may be generated * @param random the source of randomness * @return a random BigInteger value in the range [min,max] */
public static BigInteger createRandomInRange( BigInteger min, BigInteger max, SecureRandom random) { int cmp = min.compareTo(max); if (cmp >= 0) { if (cmp > 0) { throw new IllegalArgumentException("'min' may not be greater than 'max'"); } return min; } if (min.bitLength() > max.bitLength() / 2) { return createRandomInRange(ZERO, max.subtract(min), random).add(min); } for (int i = 0; i < MAX_ITERATIONS; ++i) { BigInteger x = createRandomBigInteger(max.bitLength(), random); if (x.compareTo(min) >= 0 && x.compareTo(max) <= 0) { return x; } } // fall back to a faster (restricted) method return createRandomBigInteger(max.subtract(min).bitLength() - 1, random).add(min); } public static BigInteger fromUnsignedByteArray(byte[] buf) { return new BigInteger(1, buf); } public static BigInteger fromUnsignedByteArray(byte[] buf, int off, int length) { byte[] mag = buf; if (off != 0 || length != buf.length) { mag = new byte[length]; System.arraycopy(buf, off, mag, 0, length); } return new BigInteger(1, mag); } public static int getUnsignedByteLength(BigInteger n) { return (n.bitLength() + 7) / 8; }
Return a positive BigInteger in the range of 0 to 2**bitLength - 1.
Params:
  • bitLength – maximum bit length for the generated BigInteger.
  • random – a source of randomness.
Returns:a positive BigInteger
/** * Return a positive BigInteger in the range of 0 to 2**bitLength - 1. * * @param bitLength maximum bit length for the generated BigInteger. * @param random a source of randomness. * @return a positive BigInteger */
public static BigInteger createRandomBigInteger(int bitLength, SecureRandom random) { return new BigInteger(1, createRandom(bitLength, random)); }
Return a prime number candidate of the specified bit length.
Params:
  • bitLength – bit length for the generated BigInteger.
  • random – a source of randomness.
Returns:a positive BigInteger of numBits length
/** * Return a prime number candidate of the specified bit length. * * @param bitLength bit length for the generated BigInteger. * @param random a source of randomness. * @return a positive BigInteger of numBits length */
public static BigInteger createRandomPrime(int bitLength, int certainty, SecureRandom random) { if (bitLength < 2) { throw new IllegalArgumentException("bitLength < 2"); } BigInteger rv; if (bitLength == 2) { return (random.nextInt() < 0) ? TWO : THREE; } do { byte[] base = createRandom(bitLength, random); int xBits = 8 * base.length - bitLength; byte lead = (byte)(1 << (7 - xBits)); // ensure top and bottom bit set base[0] |= lead; base[base.length - 1] |= 0x01; rv = new BigInteger(1, base); } while (!rv.isProbablePrime(certainty)); return rv; } private static byte[] createRandom(int bitLength, SecureRandom random) throws IllegalArgumentException { if (bitLength < 1) { throw new IllegalArgumentException("bitLength must be at least 1"); } int nBytes = (bitLength + 7) / 8; byte[] rv = new byte[nBytes]; random.nextBytes(rv); // strip off any excess bits in the MSB int xBits = 8 * nBytes - bitLength; rv[0] &= (byte)(255 >>> xBits); return rv; } }