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/***** BEGIN LICENSE BLOCK *****
 * Version: CPL 1.0/GPL 2.0/LGPL 2.1
 *
 * The contents of this file are subject to the Common Public
 * License Version 1.0 (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.eclipse.org/legal/cpl-v10.html
 *
 * Software distributed under the License is distributed on an "AS
 * IS" basis, WITHOUT WARRANTY OF ANY KIND, either express or
 * implied. See the License for the specific language governing
 * rights and limitations under the License.
 *
 * Copyright (C) 2007 William N Dortch 
 * 
 * Alternatively, the contents of this file may be used under the terms of
 * either of the GNU General Public License Version 2 or later (the "GPL"),
 * or the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
 * in which case the provisions of the GPL or the LGPL are applicable instead
 * of those above. If you wish to allow use of your version of this file only
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 * and other provisions required by the GPL or the LGPL. If you do not delete
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 ***** END LICENSE BLOCK *****/
package org.jruby.ext.openssl;

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

import org.jruby.Ruby;
import org.jruby.RubyClass;
import org.jruby.RubyFixnum;
import org.jruby.RubyModule;
import org.jruby.RubyNumeric;
import org.jruby.RubyObject;
import org.jruby.RubyString;
import org.jruby.anno.JRubyMethod;
import org.jruby.exceptions.RaiseException;
import org.jruby.runtime.Arity;
import org.jruby.runtime.ClassIndex;
import org.jruby.runtime.ObjectAllocator;
import org.jruby.runtime.builtin.IRubyObject;
import org.jruby.util.ByteList;

/**
 * OpenSSL::BN implementation. Wraps java.math.BigInteger, which provides
 * most functionality directly; the rest is easily derived.
 * 
 * Beware that BN's are mutable -- I don't agree with this approach, but 
 * must conform for compatibility with MRI's implementation. The offending methods
 * are set_bit!, clear_bit!, mask_bits! and copy.

* * I've included a few operations (& | ^ ~) that aren't defined by MRI/OpenSSL. * These are non-portable (i.e., won't work in C-Ruby), so use at your own risk.

* * @author Bill Dortch */ public class BN extends RubyObject { private static final long serialVersionUID = -5660938062191525498L; private static final BigInteger MAX_INT = BigInteger.valueOf(Integer.MAX_VALUE); private static final BigInteger TWO = BigInteger.valueOf(2); private static final int DEFAULT_CERTAINTY = 100; private static Random _random; private static SecureRandom _secureRandom; private static ObjectAllocator BN_ALLOCATOR = new ObjectAllocator() { public IRubyObject allocate(Ruby runtime, RubyClass klass) { return new BN(runtime, klass, BigInteger.ZERO); } }; public static BN newBN(Ruby runtime, BigInteger value) { return new BN(runtime, value != null ? value : BigInteger.ZERO); } public static void createBN(Ruby runtime, RubyModule ossl) { RubyClass openSSLError = ossl.getClass("OpenSSLError"); ossl.defineClassUnder("BNError", openSSLError, openSSLError.getAllocator()); RubyClass bn = ossl.defineClassUnder("BN", runtime.getObject(), BN_ALLOCATOR); bn.defineAnnotatedMethods(BN.class); } private volatile BigInteger value; private BN(Ruby runtime, RubyClass clazz, BigInteger value) { super(runtime, clazz); this.value = value; } private BN(Ruby runtime, BigInteger value) { super(runtime, runtime.getModule("OpenSSL").getClass("BN")); this.value = value; } public BigInteger getValue() { return value; } // TODO: check whether this is really needed for JRuby 1.0x (not used in 1.1x) public IRubyObject doClone() { return newBN(getRuntime(), this.value); } public IRubyObject initialize_copy(IRubyObject original) { super.initialize_copy(original); if (this != original) { this.value = ((BN)original).value; } return this; } @JRubyMethod(name="initialize", required=1, optional=1) public synchronized IRubyObject bn_initialize(IRubyObject[] args) { Ruby runtime = getRuntime(); if (this.value != BigInteger.ZERO) { // already initialized throw newBNError(runtime, "illegal initialization"); } int argc = Arity.checkArgumentCount(runtime, args, 1, 2); int base = argc == 2 ? RubyNumeric.num2int(args[1]) : 10; RubyString str = RubyString.stringValue(args[0]); switch (base) { case 2: // this seems wrong to me, but is the behavior of the // MRI implementation. rather than interpreting the string // as ASCII-encoded binary digits, the raw binary value of // the string is used instead. the value is always interpreted // as positive, hence the use of the signum version of the BI // constructor here: this.value = new BigInteger(1, str.getBytes()); break; case 10: case 16: // here, the ASCII-encoded decimal or hex string is used try { this.value = new BigInteger(str.toString(), base); break; } catch (NumberFormatException e) { throw runtime.newArgumentError("value " + str + " is not legal for radix " + base); } case 0: // FIXME: not currently supporting BN_mpi2bn throw runtime.newArgumentError("unsupported radix: " + base); default: throw runtime.newArgumentError("illegal radix: " + base); } return this; } @JRubyMethod(name="copy") public synchronized IRubyObject bn_copy(IRubyObject other) { if (this != other) { this.value = getBigInteger(other); } return this; } @JRubyMethod(name="to_s", rest=true) public IRubyObject bn_to_s(IRubyObject[] args) { Ruby runtime = getRuntime(); int argc = Arity.checkArgumentCount(runtime, args, 0, 1); int base = argc == 1 ? RubyNumeric.num2int(args[0]) : 10; switch (base) { case 2: // again, following MRI implementation, wherein base 2 deals // with strings as byte arrays rather than ASCII-encoded binary // digits. note that negative values are returned as though positive: byte[] bytes = this.value.abs().toByteArray(); // suppress leading 0 byte to conform to MRI behavior if (bytes[0] == 0) { return runtime.newString(new ByteList(bytes, 1, bytes.length - 1)); } return runtime.newString(new ByteList(bytes, false)); case 10: case 16: return runtime.newString(value.toString(base).toUpperCase()); case 0: // FIXME: not currently supporting BN_mpi2bn throw runtime.newArgumentError("unsupported radix: " + base); default: throw runtime.newArgumentError("illegal radix: " + base); } } @JRubyMethod(name="to_i") public IRubyObject bn_to_i() { Ruby runtime = getRuntime(); // FIXME: s/b faster way to convert than going through RubyString return RubyNumeric.str2inum(runtime, runtime.newString(value.toString()), 10, true); } @JRubyMethod(name="to_bn") public IRubyObject bn_to_bn() { return this; } @JRubyMethod(name="coerce") // FIXME: is this right? don't see how it would be useful... public IRubyObject bn_coerce(IRubyObject other) { Ruby runtime = getRuntime(); IRubyObject self; switch (other.getMetaClass().index) { case ClassIndex.STRING: self = runtime.newString(value.toString()); break; case ClassIndex.FIXNUM: case ClassIndex.BIGNUM: // FIXME: s/b faster way to convert than going through RubyString self = RubyNumeric.str2inum(runtime, runtime.newString(value.toString()), 10, true); break; default: if (other instanceof BN) { self = this; } else { throw runtime.newTypeError("Don't know how to coerce"); } } return runtime.newArray(other, self); } @JRubyMethod(name="zero?") public IRubyObject bn_is_zero() { return getRuntime().newBoolean(value.equals(BigInteger.ZERO)); } @JRubyMethod(name="one?") public IRubyObject bn_is_one() { return getRuntime().newBoolean(value.equals(BigInteger.ONE)); } @JRubyMethod(name="odd?") public IRubyObject bn_is_odd() { return getRuntime().newBoolean(value.testBit(0)); } @JRubyMethod(name={"cmp", "<=>"}) public IRubyObject bn_cmp(IRubyObject other) { return getRuntime().newFixnum(value.compareTo(getBigInteger(other))); } @JRubyMethod(name="ucmp") public IRubyObject bn_ucmp(IRubyObject other) { return getRuntime().newFixnum(value.abs().compareTo(getBigInteger(other).abs())); } @JRubyMethod(name={"eql?", "==", "==="}) public IRubyObject bn_eql(IRubyObject other) { return getRuntime().newBoolean(value.equals(getBigInteger(other))); } @JRubyMethod(name="sqr") public IRubyObject bn_sqr() { // TODO: check whether mult n * n is faster return newBN(getRuntime(), value.pow(2)); } @JRubyMethod(name="~") public IRubyObject bn_not() { return newBN(getRuntime(), value.not()); } @JRubyMethod(name="+") public IRubyObject bn_add(IRubyObject other) { return newBN(getRuntime(), value.add(getBigInteger(other))); } @JRubyMethod(name="-") public IRubyObject bn_sub(IRubyObject other) { return newBN(getRuntime(), value.subtract(getBigInteger(other))); } @JRubyMethod(name="*") public IRubyObject bn_mul(IRubyObject other) { return newBN(getRuntime(), value.multiply(getBigInteger(other))); } @JRubyMethod(name="%") public IRubyObject bn_mod(IRubyObject other) { try { return newBN(getRuntime(), value.mod(getBigInteger(other))); } catch (ArithmeticException e) { throw getRuntime().newZeroDivisionError(); } } @JRubyMethod(name="/") public IRubyObject bn_div(IRubyObject other) { Ruby runtime = getRuntime(); try { BigInteger[] result = value.divideAndRemainder(getBigInteger(other)); return runtime.newArray(newBN(runtime, result[0]), newBN(runtime, result[1])); } catch (ArithmeticException e) { throw runtime.newZeroDivisionError(); } } @JRubyMethod(name="&") public IRubyObject bn_and(IRubyObject other) { return newBN(getRuntime(), value.and(getBigInteger(other))); } @JRubyMethod(name="|") public IRubyObject bn_or(IRubyObject other) { return newBN(getRuntime(), value.or(getBigInteger(other))); } @JRubyMethod(name="^") public IRubyObject bn_xor(IRubyObject other) { return newBN(getRuntime(), value.xor(getBigInteger(other))); } @JRubyMethod(name="**") public IRubyObject bn_exp(IRubyObject other) { // somewhat strangely, BigInteger takes int rather than BigInteger // as the argument to pow. so we'll have to narrow the value, and // raise an exception if data would be lost. (on the other hand, an // exponent even approaching Integer.MAX_VALUE would be silly big, and // the value would take a very, very long time to calculate.) // we'll check for values < 0 (illegal) while we're at it int exp; switch(other.getMetaClass().index) { case ClassIndex.FIXNUM: { long val = ((RubyFixnum)other).getLongValue(); if (val >= 0 && val <= Integer.MAX_VALUE) { exp = (int)val; break; } } case ClassIndex.BIGNUM: // Bignum is inherently too big throw newBNError(getRuntime(), "invalid exponent"); default: { if (!(other instanceof BN)) { throw getRuntime().newTypeError("Cannot convert into OpenSSL::BN"); } BigInteger val = ((BN)other).value; if (val.compareTo(BigInteger.ZERO) < 0 || val.compareTo(MAX_INT) > 0) { throw newBNError(getRuntime(), "invalid exponent"); } exp = val.intValue(); break; } } try { return newBN(getRuntime(), value.pow(exp)); } catch (ArithmeticException e) { // shouldn't happen, we've already checked for < 0 throw newBNError(getRuntime(), "invalid exponent"); } } @JRubyMethod(name="gcd") public IRubyObject bn_gcd(IRubyObject other) { return newBN(getRuntime(), value.gcd(getBigInteger(other))); } @JRubyMethod(name="mod_sqr") public IRubyObject bn_mod_sqr(IRubyObject other) { try { return newBN(getRuntime(), value.modPow(TWO, getBigInteger(other))); } catch (ArithmeticException e) { throw getRuntime().newZeroDivisionError(); } } @JRubyMethod(name="mod_inverse") public IRubyObject bn_mod_inverse(IRubyObject other) { try { return newBN(getRuntime(), value.modInverse(getBigInteger(other))); } catch (ArithmeticException e) { throw getRuntime().newZeroDivisionError(); } } @JRubyMethod(name="mod_add") public IRubyObject bn_mod_add(IRubyObject other, IRubyObject mod) { try { return newBN(getRuntime(), value.add(getBigInteger(other)).mod(getBigInteger(mod))); } catch (ArithmeticException e) { throw getRuntime().newZeroDivisionError(); } } @JRubyMethod(name="mod_sub") public IRubyObject bn_mod_sub(IRubyObject other, IRubyObject mod) { try { return newBN(getRuntime(), value.subtract(getBigInteger(other)).mod(getBigInteger(mod))); } catch (ArithmeticException e) { throw getRuntime().newZeroDivisionError(); } } @JRubyMethod(name="mod_mul") public IRubyObject bn_mod_mul(IRubyObject other, IRubyObject mod) { try { return newBN(getRuntime(), value.multiply(getBigInteger(other)).mod(getBigInteger(mod))); } catch (ArithmeticException e) { throw getRuntime().newZeroDivisionError(); } } @JRubyMethod(name="mod_exp") public IRubyObject bn_mod_exp(IRubyObject other, IRubyObject mod) { try { return newBN(getRuntime(), value.modPow(getBigInteger(other), getBigInteger(mod))); } catch (ArithmeticException e) { throw getRuntime().newZeroDivisionError(); } } @JRubyMethod(name="set_bit!") public synchronized IRubyObject bn_set_bit(IRubyObject n) { // evil mutable BN int pos = RubyNumeric.num2int(n); BigInteger oldValue = this.value; // FIXME? in MRI/OSSL-BIGNUM, the original sign of a BN is remembered, so if // you set the value of an (originally) negative number to zero (through some // combination of clear_bit! and/or mask_bits! calls), and later call set_bit!, // the resulting value will be negative. this seems unintuitive and, frankly, // wrong, not to mention expensive to carry the extra sign field. // I'm not duplicating this behavior here at this time. -BD try { if (oldValue.signum() >= 0) { this.value = oldValue.setBit(pos); } else { this.value = oldValue.abs().setBit(pos).negate(); } } catch (ArithmeticException e) { throw newBNError(getRuntime(), "invalid pos"); } return this; } @JRubyMethod(name="clear_bit!") public synchronized IRubyObject bn_clear_bit(IRubyObject n) { // evil mutable BN int pos = RubyNumeric.num2int(n); BigInteger oldValue = this.value; try { if (oldValue.signum() >= 0) { this.value = oldValue.clearBit(pos); } else { this.value = oldValue.abs().clearBit(pos).negate(); } } catch (ArithmeticException e) { throw newBNError(getRuntime(), "invalid pos"); } return this; } /** * Truncates value to n bits */ @JRubyMethod(name="mask_bits!") public synchronized IRubyObject bn_mask_bits(IRubyObject n) { // evil mutable BN int pos = RubyNumeric.num2int(n); if (pos < 0) throw newBNError(getRuntime(), "invalid pos"); BigInteger oldValue = this.value; // TODO: cache 2 ** n values? if (oldValue.signum() >= 0) { if (oldValue.bitLength() < pos) throw newBNError(getRuntime(), "invalid pos"); this.value = oldValue.mod(TWO.pow(pos)); } else { BigInteger absValue = oldValue.abs(); if (absValue.bitLength() < pos) throw newBNError(getRuntime(), "invalid pos"); this.value = absValue.mod(TWO.pow(pos)).negate(); } return this; } @JRubyMethod(name="bit_set?") public IRubyObject bn_is_bit_set(IRubyObject n) { int pos = RubyNumeric.num2int(n); BigInteger val = this.value; try { if (val.signum() >= 0) { return getRuntime().newBoolean(val.testBit(pos)); } else { return getRuntime().newBoolean(val.abs().testBit(pos)); } } catch (ArithmeticException e) { throw newBNError(getRuntime(), "invalid pos"); } } @JRubyMethod(name="<<") public IRubyObject bn_lshift(IRubyObject n) { int nbits = RubyNumeric.num2int(n); BigInteger val = this.value; if (val.signum() >= 0) { return newBN(getRuntime(), val.shiftLeft(nbits)); } else { return newBN(getRuntime(), val.abs().shiftLeft(nbits).negate()); } } @JRubyMethod(name=">>") public IRubyObject bn_rshift(IRubyObject n) { int nbits = RubyNumeric.num2int(n); BigInteger val = this.value; if (val.signum() >= 0) { return newBN(getRuntime(), val.shiftRight(nbits)); } else { return newBN(getRuntime(), val.abs().shiftRight(nbits).negate()); } } @JRubyMethod(name="num_bits") public IRubyObject bn_num_bits() { return getRuntime().newFixnum(this.value.abs().bitLength()); } @JRubyMethod(name="num_bytes") public IRubyObject bn_num_bytes() { return getRuntime().newFixnum((this.value.abs().bitLength() + 7) / 8); } @JRubyMethod(name="num_bits_set") public IRubyObject bn_num_bits_set() { return getRuntime().newFixnum(this.value.abs().bitCount()); } // note that there is a bug in the MRI version, in argument handling, // so apparently no one ever calls this... @JRubyMethod(name="prime?", rest=true) public IRubyObject bn_is_prime(IRubyObject[] args) { Ruby runtime = getRuntime(); int argc = Arity.checkArgumentCount(runtime, args, 0, 1); // BigInteger#isProbablePrime will actually limit checks to a maximum of 50, // depending on bit count. int certainty = argc == 0 ? DEFAULT_CERTAINTY : RubyNumeric.fix2int(args[0]); return runtime.newBoolean(this.value.isProbablePrime(certainty)); } // FIXME? BigInteger doesn't supply this, so right now this is (essentially) // the same as bn_is_prime @JRubyMethod(name="prime_fasttest?", rest=true) public IRubyObject bn_is_prime_fasttest(IRubyObject[] args) { Ruby runtime = getRuntime(); int argc = Arity.checkArgumentCount(runtime, args, 0, 2); // BigInteger#isProbablePrime will actually limit checks to a maximum of 50, // depending on bit count. int certainty = argc == 0 ? DEFAULT_CERTAINTY : RubyNumeric.fix2int(args[0]); return runtime.newBoolean(this.value.isProbablePrime(certainty)); } @JRubyMethod(name="generate_prime", meta=true, rest=true) public static IRubyObject bn_generate_prime(IRubyObject recv, IRubyObject[] args) { Ruby runtime = recv.getRuntime(); int argc = Arity.checkArgumentCount(runtime, args, 1, 4); int bits = RubyNumeric.num2int(args[0]); boolean safe = argc > 1 ? args[1] != runtime.getFalse() : true; BigInteger add = argc > 2 ? getBigInteger(args[2]) : null; BigInteger rem = argc > 3 ? getBigInteger(args[3]) : null; if (bits < 3) { if (safe) throw runtime.newArgumentError("bits < 3"); if (bits < 2) throw runtime.newArgumentError("bits < 2"); } return newBN(runtime, generatePrime(bits, safe, add, rem)); } public static BigInteger generatePrime(int bits, boolean safe, BigInteger add, BigInteger rem) { // From OpenSSL man page BN_generate_prime(3): // // "If add is not NULL, the prime will fulfill the condition p % add == rem // (p % add == 1 if rem == NULL) in order to suit a given generator." // // "If safe is true, it will be a safe prime (i.e. a prime p so that // (p-1)/2 is also prime)." // // see [ossl]/crypto/bn/bn_prime.c #BN_generate_prime_ex // if (add != null && rem == null) { rem = BigInteger.ONE; } // borrowing technique from org.bouncycastle.crypto.generators.DHParametersHelper // (unfortunately the code has package visibility), wherein for safe primes, // we'll use the lowest useful certainty (2) for generation of q, then if // p ( = 2q + 1) is prime to our required certainty (100), we'll verify that q // is as well. // // for typical bit lengths ( >= 1024), this should speed things up by reducing // initial Miller-Rabin iterations from 2 to 1 for candidate values of q. // // it's still painfully slow... // BigInteger p, q; int qbits = bits - 1; SecureRandom secureRandom = getSecureRandom(); do { if (safe) { do { q = new BigInteger(qbits, 2, secureRandom); p = q.shiftLeft(1).setBit(0); } while (!(p.isProbablePrime(DEFAULT_CERTAINTY) && q.isProbablePrime(DEFAULT_CERTAINTY))); } else { p = BigInteger.probablePrime(bits, secureRandom); } } while (add != null && !p.mod(add).equals(rem)); return p; } public static BigInteger generatePrime(int bits, boolean safe) { return generatePrime(bits, safe, null, null); } @JRubyMethod(name="rand", meta=true, rest=true) public static IRubyObject bn_rand(IRubyObject recv, IRubyObject[] args) { return getRandomBN(recv.getRuntime(), args, getSecureRandom()); } @JRubyMethod(name="pseudo_rand", meta=true, rest=true) public static IRubyObject bn_pseudo_rand(IRubyObject recv, IRubyObject[] args) { return getRandomBN(recv.getRuntime(), args, getRandom()); } public static BN getRandomBN(Ruby runtime, IRubyObject[] args, Random random) { int argc = Arity.checkArgumentCount(runtime, args, 1, 3); int bits = RubyNumeric.num2int(args[0]); int top; boolean bottom; if (argc > 1) { top = RubyNumeric.fix2int(args[1]); bottom = argc == 3 ? args[2].isTrue() : false; } else { top = 0; bottom = false; } BigInteger value; try { value = getRandomBI(bits, top, bottom, random); } catch (IllegalArgumentException e) { throw runtime.newArgumentError(e.getMessage()); } return newBN(runtime, value); } public static BigInteger getRandomBI(int bits, int top, boolean bottom, Random random) { // From OpenSSL man page BN_rand(3): // // "If top is -1, the most significant bit of the random number can be zero. // If top is 0, it is set to 1, and if top is 1, the two most significant bits // of the number will be set to 1, so that the product of two such random numbers // will always have 2*bits length." // // "If bottom is true, the number will be odd." // if (bits <= 0) { if (bits == 0) return BigInteger.ZERO; throw new IllegalArgumentException("Illegal bit length"); } if (top < -1 || top > 1) { throw new IllegalArgumentException("Illegal top value"); } // top/bottom handling adapted from OpenSSL's crypto/bn/bn_rand.c int bytes = (bits + 7) / 8; int bit = (bits - 1) % 8; int mask = 0xff << (bit + 1); byte[] buf; random.nextBytes(buf = new byte[bytes]); if (top >= 0) { if (top == 0) { buf[0] |= (1 << bit); } else { if (bit == 0) { buf[0] = 1; buf[1] |= 0x80; } else { buf[0] |= (3 << (bit - 1)); } } } buf[0] &= ~mask; if (bottom) { buf[bytes-1] |= 1; } // treating result as unsigned return new BigInteger(1, buf); } @JRubyMethod(name="rand_range", meta=true) public static IRubyObject bn_rand_range(IRubyObject recv, IRubyObject arg) { return getRandomBNInRange(recv.getRuntime(), getBigInteger(arg), getSecureRandom()); } @JRubyMethod(name="pseudo_rand_range", meta=true) public static IRubyObject bn_pseudo_rand_range(IRubyObject recv, IRubyObject arg) { return getRandomBNInRange(recv.getRuntime(), getBigInteger(arg), getRandom()); } private static BN getRandomBNInRange(Ruby runtime, BigInteger limit, Random random) { BigInteger value; try { value = getRandomBIInRange(limit, random); } catch (IllegalArgumentException e) { throw newBNError(runtime, "illegal range"); } return newBN(runtime, value); } public static BigInteger getRandomBIInRange(BigInteger limit, Random random) { if (limit.signum() < 0) { throw new IllegalArgumentException("illegal range"); } int bits = limit.bitLength(); BigInteger value; do { value = new BigInteger(bits, random); } while (value.compareTo(limit) >= 0); return value; } private static Random getRandom() { Random rand; if ((rand = _random) != null) { return rand; } return _random = new Random(); } private static SecureRandom getSecureRandom() { SecureRandom rand; if ((rand = _secureRandom) != null) { return rand; } // FIXME: do we want a particular algorithm / provider? BC? return _secureRandom = new SecureRandom(); } public static RaiseException newBNError(Ruby runtime, String message) { return new RaiseException(runtime, runtime.getModule("OpenSSL").getClass("BNError"), message, true); } public static BigInteger getBigInteger(IRubyObject arg) { if (arg.isNil()) return null; switch(arg.getMetaClass().index) { case ClassIndex.FIXNUM: case ClassIndex.BIGNUM: return new BigInteger(arg.toString()); default: if (arg instanceof BN) { return ((BN)arg).value; } throw arg.getRuntime().newTypeError("Cannot convert into OpenSSL::BN"); } } }





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